Jerome solved the equation below by graphing. log Subscript 2 Baseline x + log Subscript 2 Baseline (x minus 2) = 3 Which of the following shows the correct system of equations and solution? y 1 = StartFraction log x Over log 2 EndFraction + StartFraction log (x minus 2) Over log 2 EndFraction, y 2 = 3; x = 3 y 1 = StartFraction log x Over log 2 EndFraction + StartFraction log (x minus 2) Over log 2 EndFraction, y 2 = 4; x = 4 y 1 = log x + log (x minus 2), y 2 = 3; x = 33 y 1 = log x + log (x minus 2), y 2 = 3; x = 44

Answer:

g(-2) = 19

Step-by-step explanation:

g(x) = x ^2 - 2x + 11,

Let x= -2

g(-2) = (-2)^2 -2(-2) +11

         = 4 +4 +11

          =19

Answer:

-2

Step-by-step explanation:

Answer:

54 times

Step-by-step explanation:

1 yard = 3 feet

[tex]9/2 * 3 = 27/2 ft = 13.5 ft[/tex]

1 ft = 12 inches

[tex]13.5*12=162[/tex] inches

162 / 3 = 54 times

B is the answer.

Answer: 3

Step-by-step explanation:

Answer: I am pretty sure it is 3 but I apologize if it is incorrect.

Step-by-step explanation:

The question in English:

Every day Luna uses 12 half-liter watering cans to water her garden. How many liters of water does she use per day?

Answer:

Español:

Luna utiliza 6 litros de agua al día.

¡Espero que esto ayude!

English:

Luna uses 6 liters of water a day.

Hope this helps!

The amount water used by Luna is equivalent is 6 liters.

Water is a tiny molecule. It consists of three atoms : two of hydrogen and one of oxygen. Water molecules cling to each other because of a force called hydrogen bonding.

Given is that every day, Luna uses 12 half-liter watering cans to water her garden.

The amount water used by Luna is equivalent to -

A{w} = 1/2 x 12

A{w} = 6 liters

Therefore, the amount of water used by Luna is equivalent is 6 liters.

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{Question in english -

Every day, Luna uses 12 half-liter watering cans to water her garden. How many liters of water she use per day?}

Answer:

CI(99%) = ( 0.93 , 2.07)

Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)

Critical value z(at 99% confidence) = z(0.005) = 2.58

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 1.5

Standard deviation r = 0.58

Number of samples n = 7

Confidence interval = 99%

Critical value z(at 99% confidence) = z((1-0.99)/2)

z(0.005) = 2.58

Substituting the values we have;

1.5+/-2.58(0.58/√7)

1.5+/-2.58(0.2192)

1.5+/-0.565536

1.5+/-0.57

= ( 0.93 , 2.07)

Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)

Answer:

66 million

Step-by-step explanation:

4 million on 70 million is 66 million

Answer:

17.5

Step-by-step explanation:

hope we can be friends

can i please get brainliest

Answer:

The two-sample t statistic for comparing the population means is -3.053.

Step-by-step explanation:

We are given that the time taken to solve the puzzles was recorded for each subject.

The 21 subjects in the red-colored environment had a mean time for solving the puzzles of 9.64 seconds with standard deviation 3.43; the 21 subjects in the blue-colored environment had a mean time of 15.84 seconds with standard deviation 8.65.

Let [tex]\mu_1[/tex] = average time taken to solve the puzzle in red-colored environment.

[tex]\mu_2[/tex] = average time taken to solve the puzzle in blue-colored environment.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex]      {means that there is no difference in time taken to solve both the puzzles}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex]      {means that there is difference in time taken to solve both the puzzles}

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

                     T.S. = [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex]   ~ [tex]t__n_1_-_n_2_-_2[/tex]

where, [tex]\bar X_1[/tex] = sample average time for solving the puzzles in the red-colored environment = 9.64 seconds

[tex]\bar X_2[/tex] = sample average time for solving the puzzles in the blue-colored environment = 15.84 seconds

[tex]s_1[/tex] = sample standard deviation for red-colored environment = 3.43 seconds

[tex]s_2[/tex] = sample standard deviation for blue-colored environment = 8.65 seconds

[tex]n_1[/tex] = sample of subjects in the red-colored environment = 21

[tex]n_2[/tex] = sample of subjects in the blue-colored environment = 21

Also,  [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex]  =  [tex]\sqrt{\frac{(21-1)\times 3.43^{2}+(21-1)\times 8.65^{2} }{21+21-2} }[/tex] = 6.58

So, test statistics  =  [tex]\frac{(9.64-15.84)-(0)}{6.58 \sqrt{\frac{1}{21}+\frac{1}{21} } }[/tex]  ~ [tex]t_4_0[/tex]

                               =  -3.053

The value of two-sample t test statistics is -3.053.

Answer:

  B(7, 3)

Step-by-step explanation:

The formula for the unknown endpoint is ...

  B = 2M -A

  B = 2(5, -2.5) -(3, -8) = (2·5 -3, 2(-2.5)+8)

  B = (7, 3)

Answer:

b 7,3

Step-by-step explanation:

Answer:

as a mixed number: 300 1/2 (reduced or equivalent)

as a decimal: 300.5 (reduced or equivalent)

as a percentage: 30,050% (reduced or equivalent)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

im smart

Answer:

18

Step-by-step explanation:

Answer: V ≈ 18

Step-by-step explanation: To get the volume of a prism, we have to follow the method. We have to use V = L * H * W.

First, let's turn 2 [tex]\frac{1}{4}[/tex] into a decimal.

We must divide the numerator by the denominator using long division.

1 ÷ 4 = 0.25 = 2.25

Now, let's use V = L * H * W.

2.25 * 4 = 9 * 2 = 18

The volume is 18, I hope this helps!

Answer:

(a) H₀: There is no fire vs. Hₐ: There is a fire.

(b) A type I error occurs when we discard a true null hypothesis (H₀) and a type II error is made when we fail to discard a false null hypothesis (H₀).

(c) In this case, type II error has the more severe consequences.

Step-by-step explanation:

It is provided that a hotel installs smoke detectors with adjustable sensitivity in all public guest rooms.

(a)

The hypothesis can be defined as follows:

H₀: There is no fire.

Hₐ: There is a fire.

(b)

A type I error occurs when we discard a true null hypothesis (H₀) and a type II error is made when we fail to discard a false null hypothesis (H₀).

In this case a type I error will be committed if we conclude that there is a fire and the smoke detector sounds an alarm, when in fact there is no fire.

In this case a type II error will be committed if we conclude that there is no fire and the smoke detector does not sounds an alarm, when in fact there is a fire.

(c)

In this case, type II error has the more severe consequences.

Concluding that there is no fire as the smoke detector did not sound an alarm, when in fact there is a fire, will cause casualties and is harmful for the health of the guests.

Guests would not be alert about the fire as there was not any alarm, and many may loose their lives because of this.

The null hypothesis is 'There is no fire', the alternative hypothesis is 'There is a fire'. A Type I error would be sounding an alarm when there is no fire (rejecting the null hypothesis when it is true), a Type II error would be not sounding an alarm when there is a fire (failing to reject the null hypothesis when it is false). The more severe consequence would be due to a Type II error, as it could result in unrecognized danger.

In this scenario, the null hypothesis would be 'There is no fire' and the alternative hypothesis would be 'There is a fire'. In terms of type I and II errors, a Type I error would occur if the smoke detector sounded an alarm when there is no fire, or in other words, rejecting the null hypothesis when it is in fact true. A Type II error would occur if the smoke detector does not sound an alarm when there is a fire, meaning failing to reject the null hypothesis when it is in fact false.

Considering the consequences of these errors, a Type II error would be more severe in this scenario, as it could lead to a serious danger not being recognized, potentially resulting in damage or harm.

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Answer:

The null hypothesis is that the most important goal and gender are independent, and the alternative is that they are dependent.

Step-by-step explanation:

Chi Square test is used to test relationship between categorical (nominal) variables of a population. Eg : Testing men & women  for any attribute, lets say empathy

Eg : Null hypothesis states that there is no difference of empathy level in men & women. Alternate Hypothesis states that there is difference of empathy level in men & women.

Answer:

Triangle,Circle,Square, 3 cubes

Step-by-step explanation:

Answer:

The coefficient of variation is 72.66%

Step-by-step explanation:

Data : 3 , 5 , 12 , 3 , 2

We are given that The mean of the sample is 5.

Formula of standard deviation =[tex]\sigma = \sqrt{\frac{\sum(x-\bar{x})^2}{n}[/tex]

Substitute the values :

[tex]\sigma = \sqrt{\frac{(3-5)^2+(5-5)^2+(12-5)^2+(3-5)^2+(2-5)^2}{5}}=3.633[/tex]

Coefficient of variation=[tex]\frac{\sigma}{\mu} \times 100=\frac{3.633}{5} \times 100 =72.66\%[/tex]

Hence The coefficient of variation is 72.66%

The coefficient of variation of the data set, 3 , 5 , 12 , 3 , 2, is: 72.7%

Recall:

Given, the following data:

We are not given the standard deviation.

First, find the standard deviation of the data set, using the formula, [tex]\mathbf{SD = \sqrt{\frac{\sum (x - \bar{x}) }{n} } }[/tex]

SD = [tex]\sqrt{\frac{66}{5} } = \sqrt{13.2}[/tex]

SD = 3.633

Next, find the coefficient of variation:

Cov. = 3.633/5 x 100 = 72.7%

Therefore, the coefficient of variation of the data set, 3 , 5 , 12 , 3 , 2, is: 72.7%

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Answer:

Step-by-step explanation:

The initial function is

[tex]y=(x-1)^{2} -3[/tex]

The transformed function is

[tex]y=5(x+4)^{2}[/tex]

Notice that the first function represents a parabola with vertex at (1, -3), and the secong function represents a parabola with vertex at (-4, 0). That means the function was shifted three units up and 5 units to the left. Additionally, the function was compressed by a scale factor of 5, because that's the coffecient of the quadratic term.

Therefore, the right answer is the first choice.

Answer:

A.

Step-by-step explanation:

The graph is translated left 5 units, compressed vertically by a factor of One-half, and translated up 3 units.

Answer:

V =256 in^3

Step-by-step explanation:

The volume of a prism is given by

V = Bh  where B is the area of a base and h is the height

V = 32 * 8

V =256 in^3

Answer:

11

Step-by-step explanation:

:):

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x= -1/3

Decimal Form:

x= -0.3 repeating

Brainliest?

Answer:wym by soulution?

Step-by-step explanation:

Answer:

Check the explanation

Step-by-step explanation:

Let [tex]X_{i}[/tex] be the indicator random variable that takes the value 1 if the ith coin is the first coin in a sequence of 19 consecutive heads.

For any sequence of length 19, the starting coin can be from toss i ,

such that i is between 1 and n - 19+1

Thus the number of such sequences is

Kindly check the attached image below for the step by step explanation to the question above.

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

Answer:

Yes, hypertension drugs lowers blood pressure.

Step-by-step explanation:

Claim: The hypertension medicine lowered blood pressure.

The null and alternative hypothesis is

H0:\mu_{d}\geq 0

H1:\mu_{d}< 0

Level of significance = 0.05

Sample size = n = 13

Sample mean of difference = \bar{d} = 10.1

Sample standard deviation of difference = s_{d} = 11.2

Test statistic is

t=\frac{\bar{d}}{s_{d}/\sqrt{n}}

t = ((10.1) / (11.2 /squre root of 13)) = 3.251

Degrees of freedom = n - 1 = 13 - 1 = 12

Critical value =2.179( Using t table)

Test statistic | t | > critical value we reject null hypothesis.

In Conclusion: The hypertension medicine lowered blood pressure

Answer:

6 Chili / 3 cream cheese = 2  Timeschilli compared to cream cheese.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

There are 6 for chilli and 3 for cream cheese.

3 *2 is 6, there fore it is 2 times as much

Hope this is helpful! :)

Answer:

It would take 7.62 minutes for the third conveyor belt alone to do the same job

Step-by-step explanation:

The together rate is the sum of each separate rate.

In this question:

First conveyor: Rate of 1/9.

Second: Rate of 1/11.

Third: Rate of 1/x.

Total: 1/3

So

[tex]\frac{1}{9} + \frac{1}{11} + \frac{1}{x} = \frac{1}{3}[/tex]

[tex]\frac{11x + 9x + 99}{99x} = \frac{1}{3}[/tex]

[tex]\frac{20x + 99}{99x} = \frac{1}{3}[/tex]

[tex]3(20x + 99) = 99x[/tex]

[tex]60x + 297 = 99x[/tex]

[tex]39x = 297[/tex]

[tex]x = \frac{297}{39}[/tex]

[tex]x = 7.62[/tex]

It would take 7.62 minutes for the third conveyor belt alone to do the same job

Answer:

D

Step-by-step explanation:

Answer:

x = 29.1m

Step-by-step explanation:

X= 71       x =

Y =          y = 28.2 m

Z =          z = 20.9 m

[tex]x^{2} = y^{2} + z^{2} - 2yz cos x\\(28.2 )^{2} + (20.9)^{2} - 2(28.2 )(20.9) cos (71)\\795.24 + 436.81 - 1178.76cos(71)\\1232.05 - 1178.76 cos (71)\\{1232.05-383.767}\\\\\sqrt{x^{2} } = \sqrt{1232.05 - 383.767}\\ x = 29.1[/tex]

Answer:

x = 6º

Step-by-step explanation:

120º = 15(x +  2)

 120 = 15x + 30

  15x = 120 - 30

  15x = 90

      x = 90/15

      x = 6º

The measure of x is 6°, which corresponds to option B: x = 6, using the property of parallel lines.

We can observe that the given lines are parallel cut by a transversal.

So, the angles 120° and 15(x + 2) are alternate exterior angles which are equal.

So, 120° = 15(x + 2)

To find the value of x:

1. Start by isolating the variable x on one side of the equation.

  Subtract 30 from both sides to move the constant term to the other side:

  120° - 30° = 15(x + 2) - 30°

2. Simplify the equation:

  90° = 15(x + 2)

3. Now, divide both sides of the equation by 15 to solve for x:

  (90°) / 15 = (15(x + 2)) / 15

4. Calculate:

  90° / 15 = 6°

So, x = 6°.

Therefore, the correct answer is: B. x = 6.

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Answer:

(About) 20043.46 after 14 years

Step-by-step explanation:

~ Let us apply a compound interest formula not through substituting values, but through a similar way of following this formula ~

1. First let us assign the values:

interest ⇒ 6.5 percent ( % ), principle number - start value ⇒ $ 8300, time ⇒  14 years

2. Now let us convert interest ⇒ decimal form: 0.065

3. Add 1 to this value 0.065 ⇒ 1 + 0.065 = 1.065

4. Now let us take 1.065 exponentially to the power of itself 14 times, or in other words to the power of time ( 14 years ): 1.065^ 14 = 2.414874185.......

5. Multiply this infinite number by the principle number P, or most commonly known as the start value: 2.414874185....... * 8300    ⇒    

(About) 20043.46 after 14 years

Using the formula for compound interest and substituting accordingly, the given investment grows to approximately 18,108.80 dollars after 14 years.

To solve this, we'll use the formula for compound interest, which is P(1 + r/n)^(nt), where P is the principle amount (initial investment), r is the annual interest rate, n is the number of times that interest is compounded per unit t, and t is the time the money is invested for.

In this case, P = 8300 dollars, r = 6.5/100 = 0.065 (we need the rate in decimal form), n = 1 (since the interest is given annually), and t = 14 years.

Substitute these values into the formula:

A = 8300(1 + 0.065/1)^(1*14) which simplifies to A = 8300(1.065)^14.

Using a calculator, A ≈ 18,108.80 dollars. So, after 14 years, the account will have approximately 18,108.80 dollars.

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Answer:

An ISOSCELES TRIANGLE

Step-by-step explanation:

Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.

Distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

For side |AB|:

A(-5, 4) and B(4, 1)

|AB| = √(4-(-5))²+(1-4)²

|AB| = √9²+3²

|AB| = √90

For side |BC|

B(4, 1), and C(1, -8)

|BC| =√(1-4)²+(-8-1)²

|BC| = √3²+9²

|BC| = √90

For side |AC|:

A(-5, 4) and C(1, -8).

|AC| = √(1-(-5))²+(-8-4)²

|AC| = √6²+12²

|AC| = √36+144

|AC| = √180

Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.

Answer:$462.50

Step-by-step explanation:multiply $1,850 by .25 to get your answear

Answer:

5 = T

8 = C

3 = V

3 = O

which means its other because it said it is not a car, truck or van so its other meaning O

O = other

Answer: O

Step-by-step explanation: Theirs really nothing to it just pay attention to the hint :)

Answer:

3/19

Step-by-step explanation:

Gradpoint

Answer:

B. -4 and 9

Step-by-step explanation:

First, you want to get the equation to equal 0.

[tex]x^{2} - 36 = 5x[/tex] subtract 5x from both sides to make the equation equal to 0.

[tex]x^{2} -5x - 36 =0[/tex]

Now you are going to want to factor the equation

Find factors that add up to 5

[tex](x+4)(x-9)[/tex] I used 4 and 9 because they multiply to be 36, since 36 is negative that means that one of the numbers has to be negative. I made 9 negative because when you add 4 it equals 5.

Make both equations equal to 0

[tex]x+4=0[/tex]

   [tex]-4[/tex]  [tex]-4[/tex]   subtract 4 from both sides to get x alone

  [tex]x = -4[/tex]

[tex]x-9=0[/tex]

   [tex]+9[/tex]  [tex]+9[/tex]   add 9 to both sides to get x alone

     [tex]x=9[/tex]

Answer:

B. -4 and 9

Step-by-step explanation:

move the 5x over and factor to get (x-9)(x+4)=0, set both of the expressions equal to zero, and solve, pretty much you just fator and flip the signs. Hope this helps!