Enter 8/10 as hundredths.

Answers

Answer 1

Answer:

0.8 or .8

Step-by-step explanation:

multiply the top and bottom by 10

so 8/10=80/100

to get the decimal form, just divide 8 by 10 and it should give you 0.8


Related Questions

Can someone help me, im really stuck.

Answers

Answer:

(x/4) +1 OR (4/x)+1

Step-by-step explanation:

. A ball is thrown upward. Its height (h, in feet) is
given by the function h = 16t^2+ 64t + 34, where t is
the length of time (in seconds) that the ball has been
in the air. What is the maximum height that the ball
reaches?
A. 3 ft B. 51 ft C. 63 ft D. 67

Answers

Answer:

Well none of the answers are correct as maximum height is found by doing -b/2a which gives the x coordinate of the vertex also known as the heighest or lowest point. But when plugged in it gives the lowest point assuming you made the mistake of making the 16 positive when its supposed to be negative you would plug it in and get 98 which isn't an answer choice assuming 34 is the ground when you subtract that you get 64 whch still isn't an answer choice check your numbers in the equation

Answer:

64 feet

Step-by-step explanation:

You can solve this by completing the square and turning the equation into that of a parabola, where the uppermost vertex is the highest point in the ball's flight path.

[tex]h=-16(t^2-4t+4)+98[/tex]

[tex]h=-16(t-2)^2+98[/tex]

Since the first term there is negative, the largest possible answer that you can get is if that term is 0. The only way to make it 0 is for t to be 2, so you know that that is when the highest point is. If the first term is 0, all that is left is 98, which is the highest height. However, since you initially start at 98, you only end up going 64 feet up (I guess C is the closest to that?). Hope this helps!

The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, which read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula is T = L S , where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 3-minute confession at an operating speed of 4 1 2 inches per second?

Answers

Using the given formula T = LS

And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:

180 = L x 4-1/2

Solve for L by dividing both sides by 4-1/2:

L = 180 / 4-1/2

L = 40

The length should be 40 inches.

Final answer:

To record a 3-minute confession at 4 1/2 inches per second, an officer needs 810 inches of magnetic tape.

Explanation:

To determine how long of a tape a police officer needs to record a 3-minute confession at an operating speed of 4 1/2 inches per second, we use the formula T = L/S, where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. First, convert the 3-minute confession time into seconds: 3 minutes × 60 seconds per minute = 180 seconds. Next, solve for L using L = T × S. Here, T = 180 seconds and S = 4.5 inches per second (since 1/2 inch is 0.5 inches). Thus, L = 180 × 4.5 = 810 inches. Therefore, the officer needs 810 inches of tape.

Therefore, as per the above explaination, the correct answer is 810 InchInches.

Deborah hikes due south for 3 miles. She then turns due west and hikes 4 miles. What is the shortest distance between the starting point and the ending point? 1 mile 2 miles 5 miles 6 miles

Answers

Answer:

  5 miles

Step-by-step explanation:

The two legs of Deborah's hike form the right-angle legs of a right triangle. The shortest distance is then the hypotenuse of that triangle, found using the Pythagorean theorem.

  d^2 = 3^2 + 4^2 = 9 +16 = 25

  d = √25 = 5

Deborah ends 5 miles from her start.

Solve the following equation X = 2 and y = 4

3x + 2y + 4 =?

Answers

Answer:

18

Step-by-step explanation:

3(2)+2(4)+4=

6+8+4=18

Final answer:

The solution to the equation 3x + 2y + 4 when x = 2 and y = 4 is 18.

Explanation:

In the equation given, we are asked to find the value of 3x + 2y + 4 when x = 2 and y = 4.

First, let's substitute these values into the equation. We get 3×2 + 2×4 + 4, which simplifies to 6 + 8 + 4.

Adding these together gives us a total of 18. Therefore, the solution to the following equation is 18.

Learn more about Mathematical Solution here:

https://brainly.com/question/32789785

#SPJ2

AB = 6 cm AC= 12 cm calculate length of CD give your answer to 3 significant figures

Answers

The length of CD  to 3 significant figures is 12.7

What is the  length of CD ?

Given that;

AB=6cm AC=12cm.

Using Pythagoras in triangle ABC

[tex](AC)^{2} =(AB)^{2}+(BC)^{2}[/tex]

[tex](12)^{2} =(6)^{2}+(BC)^{2}[/tex]

[tex]144 - 36 = (BC)^{2}[/tex]

[tex](BC)^{2} =108[/tex]

[tex](BC)=\sqrt{108}[/tex]

We can then use Law of sine as;

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

[tex]\frac{CD}{sin90} =\frac{ \sqrt{108} }{sin55}[/tex]

[tex]\frac{CD}{1} = \frac{\sqrt{50} }{sin55}[/tex]

[tex]CD=12.6866[/tex]

Maricopa's Success scholarship fund receives a gift of $ 185000. The money is invested in stocks, bonds, and CDs. CDs pay 5 % interest, bonds pay 5.5 % interest, and stocks pay 11.3 % interest. Maricopa Success invests $ 30000 more in bonds than in CDs. If the annual income from the investments is $ 13115 , how much was invested in each account?



Maricopa Success invested $ ____ in stocks.


Maricopa Success invested $ ____ in bonds.


Maricopa Success invested $ _____ in CDs.

Answers

Answer:

Maricopa Success invested $55,000 in stocks

Maricopa Success invested $80,000 in bonds

Maricopa Success invested $50,000 in CDs

Step-by-step explanation:

Let S denotes stocks, B denotes bonds and C denotes CDs.

Maricopa's Success scholarship fund receives a gift of $185,000 which she invests in stocks. bonds, and CDs.

Mathematically,

S + B + C = 185,000      eq. 1

Money is invested in stocks at interest = 11.3% = 0.113

Money is invested in bonds at interest = 5.5% = 0.055

Money is invested in CDs at interest = 5% = 0.05

Annual income from the investments is $13,115

Mathematically,

0.113S + 0.055B + 0.05C = 13,115      eq. 2

Maricopa Success invests $30,000 more in bonds than in CDs.

Mathematically,

B = C + 30,000       eq. 3

Substitute the eq. 3 into eq. 1

S + B + C = 185,000

S + (C + 30,000) + C = 185,000

S + 2C + 30,000 = 185,000

S + 2C = 185,000 - 30,000

S + 2C = 155000      eq. 4

Substitute the eq. 3 into eq. 2

0.113S + 0.055B + 0.05C = 13,115

0.113S + 0.055(C + 30,000) + 0.05C = 13,115

0.113S + 0.055C + 1650 + 0.05C = 13,115

0.113S + 0.105C + 1650 = 13,115

0.113S + 0.105C = 13,115 - 1650

0.113S + 0.105C = 11,465      eq. 5

Now we have to equations and two unknowns

S + 2C = 155,000      eq. 4

0.113S + 0.105C = 11,465      eq. 5

Multiply eq. 4 by 0.113 and subract it from eq. 5

0.113S + 0.226C = 17,515

subtract it from eq. 5

0.113S + 0.105C = 11,465      eq. 5

0.113S + 0.226C = 17,515

-0.121C = -6050

0.121C = 6050

C = 6050/0.121

C = 50,000

Substitute the value of C into eq. 3

B = C + 30,000

B = 50,000 + 30,000

B = 80,000

Substitute the value of B and C into eq. 1

S + B + C = 185,000

S + 80,000 + 50,000 = 185,000

S = 185,000 - 80,000 - 50,000

S = 55,000

Therefore,

Maricopa Success invested $55,000 in stocks

Maricopa Success invested $80,000 in bonds

Maricopa Success invested $50,000 in CDs

Verification:

S + B + C = 185,000       eq. 1

55,000 + 80,000 + 50,000 = 185,000

185,000 = 185,000  (satisfied)

0.113S + 0.055B + 0.05C = 13,115      eq. 2

0.113(55,000) + 0.055(80,000) + 0.05(50,000) = 13,115

6215 + 4400 + 2500 = 13,115

13,115 = 13,115  (satisfied)

B = C + 30,000       eq. 3

80,000 = 50,000 + 30,000

80,000 = 80,000  (satisfied)

Suppose that the IQs of university​ A's students can be described by a normal model with mean 150150 and standard deviation 77 points. Also suppose that IQs of students from university B can be described by a normal model with mean 120120 and standard deviation 1010. ​a) Select a student at random from university A. Find the probability that the​ student's IQ is at least 140140 points.

Answers

Answer:

The probability that the​ student's IQ is at least 140 points is of 55.17%.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

University A: [tex]\mu = 150, \sigma = 77[/tex]

a) Select a student at random from university A. Find the probability that the​ student's IQ is at least 140 points.

This is 1 subtracted by the pvalue of Z when X = 140. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{140 - 150}{77}[/tex]

[tex]Z = -0.13[/tex]

[tex]Z = -0.13[/tex] has a pvalue of 0.4483.

1 - 0.4483 = 0.5517

The probability that the​ student's IQ is at least 140 points is of 55.17%.

what is the y -value of the point where they intersect

Answers


I assume you are talking about the last graph which was y= 2x + 5 and y=x-1
In which that case the answer is -8

Suppose that every student at a university is assigned a unique 8-digit ID number. For i ∈ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, define the set Ai to be the set of currently enrolled students whose ID number begins with the digit i. For each digit, i, there is at least one student whose ID starts with i. Do the sets A0, …, A9 form a partition of the set of currently enrolled students?

Answers

Answer:

Yes, they form a partition

Step-by-step explanation:

For a group of sets to be considered a partition of set A (currently enrolled students), all of the elements in set A must be contained in the subsets that form the partition and no individual element can be present in more than one subset.

In this situation, take set A0 for instance, all students whose ID numbers begin with 0 will be in this set and in this set alone. The same can be said for Ai  where i ∈ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Since no other possible value can be assigned for the first digit of an student ID, it is correct to affirm that sets A0, …, A9 form a partition of the set of currently enrolled students.

Final answer:

The sets A0, A1, ..., A9, where each set consists of students whose ID starts with a specific digit, form a partition of the set of all currently enrolled students because each set is non-empty, the sets are mutually exclusive, and their union represents the entire set of students.

Explanation:

To understand if the sets A0, A1, ..., A9, form a partition of the set of currently enrolled university students based on their 8-digit ID numbers starting with digits 0 through 9, three conditions must be met: each set must be non-empty, the sets must be mutually exclusive, and their union must form the entire set of currently enrolled students.

Non-empty Sets: Given that for each digit i, there is at least one student whose ID starts with i, all sets A0 through A9 meet the criterion of being non-empty.Mutually Exclusive: Since each student is assigned a unique 8-digit ID, and an ID can only start with one digit, the sets are mutually exclusive; a student whose ID starts with a 1, for example, cannot also be in the set of IDs beginning with 2.Union Forms the Entire Set: Because all possible ID numbers will begin with a digit from 0 to 9, the union of sets A0 through A9 covers every currently enrolled student making them a partition of the set of all students.

Thus, the sets A0 through A9 form a partition of the set of all currently enrolled students.

Find the slope of the line. Y=2x-9

Answers

Answer:

Slope is 2

Step-by-step explanation:

The number before x is the slope value.

Slope-intercept

[tex]\dotfill[/tex]

We want to find the slope for the following line:

[tex]\bf y=2x-9[/tex]

First, notice the form of the given  equation is in slope intercept (y=mx+b) form. In this formula, m is the slope and b is the y-intercept. So to find the value of m, compare the equation to the slope int. formula.

[tex]\sf y=mx+b[/tex] ← formula

[tex]\sf y=2x-9[/tex] ← the slope is 2

>>> Therefore, the slope is 2.

In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard deviation of that data set?

Answers

Answer:

The standard deviation of that data set is 3.8

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 55

95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.

Using one of these points.

55 + 2sd = 62.6

2sd = 7.6

sd = 7.6/2

sd = 3.8

The standard deviation of that data set is 3.8

he gas mileage for a certain model of car is known to have a standard deviation of 4 mi/gallon. A simple random sample of 49 cars of this model is chosen and found to have a mean gas mileage of 27.5 mi/gallon. Construct a 96.5% confidence interval for the mean gas mileage for this car model. a) (27.328, 27.672) b) (19.068, 35.932) c) (26.295, 28.705) d) (20.252, 34.748) e) (26.465, 28.535) f) None of the above

Answers

Answer:

c) (26.295, 28.705)

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.965}{2} = 0.0175[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.0175 = 0.9825[/tex], so [tex]z = 2.11[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.11\frac{4}{\sqrt{49}} = 1.205[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.205 = 26.295 mi/gallon

The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.205 = 28.705 mi/gallon

So the correct answer is:

c) (26.295, 28.705)

Some students checked 6 bags of Doritos marked with a net weight of 28.3 grams. They carefully weighed the contents of each bag, recording the following weights (in grams): 29.2, 28.5, 28.7, 28.9, 29.1, 29.5. The average weight is 29.0 and the standard deviation is 0.36. Assume the weight of the bags follows normal distribution. Does this provide strong evidence that the true weight is not 28.3 grams?

Answers

Answer:

We conclude that the true mean weight is not 28.3 grams at 5% significance level.

Step-by-step explanation:

We are given that some students checked 6 bags of Doritos marked with a net weight of 28.3 grams.

They carefully weighed the contents of each bag, recording the following weights (in grams): 29.2, 28.5, 28.7, 28.9, 29.1, 29.5. The average weight is 29.0 and the standard deviation is 0.36.

Let [tex]\mu[/tex] = true mean weight of bag.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 28.3 grams     {means that the true mean weight is 28.3 grams}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 28.3 grams     {means that the true mean weight is not 28.3 grams}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

                       T.S. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean weight = 29.0 grams

            s = sample standard deviation = 0.36 grams

            n = sample of bags = 6

So, test statistics  =  [tex]\frac{29.0-28.3}{\frac{0.36}{\sqrt{6} } }[/tex]  ~ [tex]t_5[/tex]

                               =  4.763

The value of t test statistics is 4.763.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -2.571 and 2.571 at 5 degree of freedom for two-tailed test.

Since our test statistics does not lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the true mean weight is not 28.3 grams.

There is strong evidence to suggest that the true mean weight of the Doritos bags is not 28.3 grams, based on a hypothesis test that resulted in a very low p-value.

To determine if there is strong evidence that the true mean weight of the Doritos bags is not 28.3 grams, we perform a hypothesis test using the given data.

State the null hypothesis (H0) and the alternative hypothesis (Ha):

H0: μ = 28.3 grams (the true mean weight is 28.3 grams)

Ha: μ ≠ 28.3 grams (the true mean weight is not 28.3 grams)

Calculate the test statistic:

The test statistic for a sample mean is given by:

z = (sample mean - population mean) / (standard deviation / √(n))

Here, the sample mean = 29.0 grams, population mean = 28.3 grams, standard deviation = 0.36 grams, and n = 6.

Thus, z = (29.0 - 28.3) / (0.36 / √(6)) ≈ 4.08

Using a z-table, the p-value associated with a z-score of 4.08 is extremely small (much less than 0.05).

Compare the p-value to the significance level (α):

At α = 0.05, since the p-value is much smaller, we reject the null hypothesis.

Since the p-value is very low, there is strong evidence to suggest that the true mean weight of the Doritos bags is not 28.3 grams.

A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 5 purple. Let P be the probability distribution defined on the set {blue, green, yellow, purple}. Write each probability rounded to the nearest hundredth
P(blue)=_____
P(green)=_____
P(purple)=_____
P(yellow)=_____

Answers

Answer:

P(blue) = 0.33

P(green) = 0.14

P(purple) = 0.24

P(yellow) = 0.29

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7+3+6+5 = 21 tils.

7 of them are blue. So

P(blue) = 7/21 = 0.33

3 of them are green. So

P(green) = 3/21 = 0.14

6 of them are yellow. So

P(yellow) = 6/21 = 0.29

5 of them are purple. So

P(purple) = 5/21 = 0.24

Answer:

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

According to the question

7 + 3 + 6 + 5 = 21 in a bag

[tex]P(blue) = \frac{7C_1}{21C_1} \\\\=\frac{7}{21} \\\\=\frac{1}{3} \\\\= 0.33[/tex]

[tex]P(green) = \frac{3C_1}{21C_1} \\\\= \frac{3}{21} \\\\=\frac{1}{7} \\\\= 0.14[/tex]

[tex]P(yellow)=\frac{6C_1}{21C_1} \\\\=\frac{6}{21}\\\\=\frac{2}{7} \\\\=0.29[/tex]

[tex]P(purple) = \frac{5C_1}{21C_1} \\\\=\frac{5}{21} \\\\=0.24[/tex]

The solution is (3, –2). Verify the solution. Which true statement appears in your check? 4 = 4 –2 = –2 –1 = –1 –3 = –3

Answers

Answer:

b.) -2= -2

Step-by-step explanation:

i got it correct

Answer:

-2=-2

Step-by-step explanation:

What is the equation of the line that is perpendicular to the line y = 6 and passes through the point (-4, -3)?
A.) x=-4. B.) x=-3. C.) x= -1/6. D.) x=6

Answers

B is correct answer!

An angle has a reference angle measuring 35º and its terminal side lies in Quadrant IV. What are possible positive and negative measures for the angle?

Answers

Answer:

Step-by-step explanation:

Given that,

The reference angle is 35°

It lies in the fourth quadrant.

The reference angle is the positive acute angle that can represent an angle of any measure.

The reference angle  must be < 90∘.

In radian measure, the reference angle  must be < π/ 2.

Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis. A reference angle always uses the x-axis as its frame of reference.

Since the reference angle is less than 35°, then, the reference angle is positive,

The negative angle is 360 - 35 = 325°

So, the positive reference angle is 35° and the negative reference angle is 325°

This question is based on concept of reference angle.Therefore, the positive measures for the angle would be 35° and the negative would be 325°.

Given:

The reference angle is 35º and its terminal side lies in [tex]\bold{4^{th}}[/tex] Quadrant .

By the definition of reference angle,

An angle's reference angle is the measure of the smallest, positive, acute angle formed by the terminal side of the angle and the horizontal axis.

Thus, positive reference angles have terminal sides that lie in the first quadrant and can be used as models for angles in other quadrants.

The reference angle is acute angle.Therefore, it must be < 90°.

In radian measure, it must be less than  [tex]\bold{\dfrac{\pi }{2}}[/tex].

Therefore, the reference angle is less than 35°. So, reference angle is positive.And the negative angle is 360 - 35 = 325°.

Therefore, the positive measures for the angle would be 35° and the negative would be 325°.

For further details, please refer this link:

https://brainly.com/question/1061317

I need help please it is just one question and can you explain how u did it thx please look at the picture thx

Answers

Answer:

112

Step-by-step explanation:

A supplementary angle is 1 or more angles that add up to 180 degrees. So, the 2 angles we have are 2x and 3x + 10, and those add up to 180.

In order to make an equation for this, we need to add 2x and 3x + 10 and equal it to 180.

5x + 10 = 180

Now that we have our equation, the goal is to isolate the variable. The most immediate step I see is to subtract 10 from both sides so 5x will be alone on one side of the equation.

5x = 170

Now, to ultimately isolate the variable, we must divide both sides by 5 so that x will be alone.

170 / 5 is 34

5x / 5 is x

x = 34

Now, we plug in our value of x into 3x + 10 to find out what the measurement is equal to.

3(34) + 10 = y

102 + 10 = y

112 = y

3x + 10 is equal to 112.

What is the area? i need help please im timed and don't know how to do this

Answers

Answer:

This is what it looks like and also so Regretfulderey can get brainliest

Answer:

Step

[tex] \frac{1}{2} \times (4 + 12) \times 5[/tex]

there

Find the area of the circle d=10 in 62.80 in^2 ,15.70^2, 314.00in ^2, 78.50in^2, 31.40 in2

Answers

Step-by-step explanation:

In order to find the area, we need to find the radius. In order to find the radius, we need to divide 10 by 2 because the radius is half of the diameter.

10 ÷ 2 = 5

[tex]A=r^2\pi[/tex]

[tex]A=(5)^2\pi[/tex]

[tex]A=25\pi[/tex]

[tex]A=78.5[/tex]

So, the area of the circle (given that the diameter is 10) is 78.50 in².

Help please little I try my best

Answers

The answer is (3,0). Hope this helps!(:

explain a advantage and disadvantage for paying with a debit card

Answers

Advantage is you don’t need to worry about interest rate or monthly payments
Disadvantages does’t help you build your credits.

ILL GIVE YOU BRAINLIST !! *have to get it right ! *

Find the slope of the line IM on the graph.

Answers

Answer:

-1/2

Step-by-step explanation:

Point L is at (-2,3)

Point M is at (2,1)

We can find the slope using

m =(y2-y1)/(x2-x1)

   = (1-3)/(2 - -2)

    =(1-3)/(2+2)

   =-2/4

  =-1/2

What is the value of x in the equation 4x - 10 = 18

Answers

Start with

[tex]4x - 10 = 18[/tex]

Add 10 to both sides:

[tex]4x - 10+10 = 18+10[/tex]

This cancels the "-10" on the left hand side:

[tex]4x = 28[/tex]

Divide both sides by 4:

[tex]\dfrac{4x}{4} = \dfrac{28}{4}[/tex]

This cancels the 4 on the left hand side:

[tex]x = 7[/tex]

4x - 10 = 18| + 10

4x - 10 + 10 = 18 + 10

4x = 28| ÷ 4

4x ÷ 4 = 28 ÷ 4

x = 7

A clinical psychologist wants to test whether experiencing childhood trauma affects one's self-efficacy in adulthood. He randomly selects 231 adults who have experienced childhood trauma and finds that their mean self-efficacy score equals 148.9. The standard deviation of the sample equals 27.4. Self-efficacy scores in the general population of adults are distributed normally with a mean equal to 152.5 . Is there sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals

Answers

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 152.5

For the alternative hypothesis,

µ ≠ 152.5

This is a two tailed test.

Since no population standard deviation is given, the distribution is a student's t.

Since n = 231

Degrees of freedom, df = n - 1 = 231 - 1 = 230

t = (x - µ)/(s/√n)

Where

x = sample mean = 148.9

µ = population mean = 152.5

s = samples standard deviation = 27.4

t = (148.9 - 152.5)/(27.4/√231) = - 2

We would determine the p value using the t test calculator. It becomes

p = 0.047

Since alpha, 0.05 > thanthere sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals the p value, 0.047, then we would reject the null hypothesis. Therefore, At a 5% level of significance, there is sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (0, 7), has a vertex at (2, 3), and goes through (4, 7).
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3?

right 2, up 3
left 2, down 3
right 2, down 3
left 2, up 3

Answers

Answer: i beleve it should be a

Step-by-step explanation:

The equation of the parabola f(x) = x² is transformed right 2, up 3, to make another parabola of the equation g(x) = (x - 2)² + 3. Hence, the first option is the right choice.

What do we mean by the transformation of graphs?

The process of modifying an existing graph, or graphed equation, to generate a version of the following graph is known as graph transformation.

How do we identify the transformation between the two graphs?

If the equation of the original graph is f(x) and the transformed graph is g(x), such that g(x) = f(x + p) + q, then the graph of g(x) is p units left and q units up from f(x).

How do we solve the given question?

In the question, we are given the equations of the parabolas f(x) = x² and g(x) = (x - 2)² + 3, where f(x) is transformed to make g(x).

We are asked to identify the transformation from f(x) to g(x).

The equation of g(x) = (x - 2)² + 3, in terms of f(x) = x² can be written as

g(x) = f(x- 2) + 3, which is of the form g(x) = f(x + p) + q, where the graph of g(x) is transformed from f(x) by moving it p units left and q units right.

So, we can say that f(x) = x² is moved 2 units right and 3 units up to form g(x) = (x - 2)² + 3.

∴ The equation of the parabola f(x) = x² is transformed right 2, up 3, to make another parabola of the equation g(x) = (x - 2)² + 3. Hence, the first option is the right choice.

Learn more about the transformation of graphs at

https://brainly.com/question/1548871

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Michael has a fish tank that has a length of 7 inches, a width 6 inches and and height of 8 inches. What is the total surface area of the fish tank ?

Answers

Answer:

I think the answer is 292 inches.

Answer: 250in².

Step-by-step explanation:

Total surface area of the fish tank wil be, listen we can can derive a formula for the surface area.

The fish tanks has five surfaces since the top will be opened. For fnd the total surface area now, find the area of each of the surfaces and add together. If it is 6 surfaces, the formula would have been.

2(lb) + 2(lb) + 2(lb)

2( lb + lb + lb )

Now , first (lb) = 7 × 6in²= 42in² ie. the top and the bottom,

Second surfaces, the sides

7 × 8 = 56in²

The third is the other sides

6 × 8 = 48in². Now applying the formula now, bearing in mind that the top is open, we now have

42in² + 2( lb + lb )in²

= 42 + 2( 56 + 48 )

= 42 + 2(104)

= 42 + 208

= 250in².

Note, if the tank or box is closed, then the above derived formula could be suitable.

The height is also regarded as the depth.

The chair of the Department of Mathematics and Statistics needs to appoint a faculty committee consisting of 5 mathematics and 4 statistics faculty. There are 23 mathematics and 14 statistics faculty members in the department. In how many ways can he select a committee? Setup the numerical expression using fractions, factorials, etc. but you do not need to evaluate it.

Answers

Answer:

There are 27,720 ways to select the committee

Step-by-step explanation:

First, it is necessary to know how many ways are there to select 3 members, if there are 9 members of the mathematics department. This can be found using the following equation:

Where nCk gives as the number of ways in which we can select k elements from a group of n elements. So, replacing n by 9 and k by 3 members, we get:

So, there are 84 ways to select 3 members from 9 members of the mathematics department.

At the same way, we can calculate that there are 330 ways to select 4 members from the 11 that belong to the Computer science department as:

Finally the total number of ways in which we can form a committee with 3 faculty members from mathematics and 4 from the computer science department is calculated as:

9C3 * 11C4 = 84 * 330 = 27,720

Management of Melodic Kortholt Company compared absenteeism rates in two plants on the third Monday in November. Of Plant A's 800 employees, 120 were absent. Of Plant B's 1200 employees, 144 were absent. MegaStat's results for a two-tailed test are shown belowManagement of Melodic Kortholt Company compared absenteeism rates in two plants on the third Monday in November. Of Plant A's 800 employees, 120 were absent. Of Plant B's 1200 employees, 144 were absent. MegaStat's results for a two-tailed test are shown below.p1 p20.15 0.12 p (as decimal)120/800 144/1200 p (as fraction)120. 144. X800 1200 n0.03 sample difference0.00 hypothesized difference0.01545 std. errorx.xx z.0522 p-value (two-tailed)The test statistic (shown as z = x.xx) is approximately:A. 2.022B. 1.960C. 1.942D. 1.645

Answers

Answer: C. 1.942

Step-by-step explanation:

This is a test of 2 population proportions. The population proportion of the number of absent employees in plant A and plant B are p1 and p2 respectively.

From the information given,

p1 = 0.15

p2 = 0.12

n1 = 800

n2 = 1200

To determine the z score, we would first determine the pooled proportion.

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (120 + 144)/(800 + 1200) = 0.132

1 - pc = 1 - 0.132 = 0.868

The formula for z score is

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.15 - 0.12)/√(0.132)(0.868)(1/800 + 1/1200) = - 0.03/0.045

z = 1.942

Using the standard error and sample difference provided in the MegaStat results, and knowing the p-value corresponds to a two-tailed test at the 5 percent significance level, the test statistic for the absenteeism rates at Melodic Kortholt Company is most likely 1.960, corresponding to Option B.

The management of Melodic Kortholt Company compared absenteeism rates in two plants on the third Monday in November. Plant A had an absenteeism rate of 120 out of 800 employees, and Plant B had a rate of 144 out of 1200 employees.

The MegaStat results provided for a two-tailed test show a sample difference of 0.03 and hypothesized difference of 0.00, with a standard error of 0.01545 and a p-value of 0.0522. To find the test statistic, we use the provided standard error and the sample difference.

Using the formula z = (sample difference - hypothesized difference) / std. error, we calculate the z-value to determine the test statistic that corresponds to the options given.

While the exact z-value isn't provided, with a p-value of 0.0522 for a two-tailed test, the z-value would be close to the critical value of 1.96 for a 95% confidence interval. Therefore, the correct z-value that matches the p-value given would most likely be Option B: 1.960.

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