Find the value of 18 ÷ 9 · 3.

Answer: Gary can travel 22 miles on 1 gallon gas.

Step-by-step explanation:

176/8 = 22

Answer:

8% probability that Anthony will soon be playing on the Acme golf team

Step-by-step explanation:

We have these following probabilities:

10% probability that he is hired by the corporation.

If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.

Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:

80% of 10%

So

P = 0.8*0.1 = 0.08

8% probability that Anthony will soon be playing on the Acme golf team

Step-by-step explanation:

10= - 9 - X

- x - 9 = 10

-× = 10 + 19

-× =19

× = -19

Answer:

The answer is 16x^2-8x+8

The answer is c

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

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Hope this helps!

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

a) For the null hypothesis,

P = 0.55

For the alternative hypothesis,

P > 0.55

Considering the population proportion, probability of success, p = 0.55

q = probability of failure = 1 - p

q = 1 - 0.55 = 0.45

Considering the sample,

Probability of success, P = 0.62

Number of samples, n = 1810

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.62 - 0.55)/√(0.55 × 0.45)/1810 = 5.98

Since this is a right tailed test, the critical value would be the p value to the right of z = 5.98

p value = 0.00001

Since alpha, 0.02 > than the p value, 0.00001, then we would reject the null hypothesis.

Using the critical value approach, By using the critical region method,

the calculated test statistic is 5.98 for the right tail and - 5.98 for the left tail

Since α = 0.02, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.02/2 = 0.01

The z score for an area to the left of 0.01 is - 2.325

For the right, α/2 = 1 - 0.01 = 0.99

The z score for an area to the right of 0.995 is 2.325

In order to reject the null hypothesis, the test statistic must be smaller than - 2.325 or greater than 2.325

Since - 5.98 < - 2.325 and 5.98 > 2.325, we would reject the null hypothesis.

Therefore, it is reasonable to conclude that the percentage of all American adults who currently hold this opinion is higher than 55%.

Final answer:

To find the height of a cylinder with a given surface area and radius, use the formula for the surface area of a cylinder. In this case, the height is approximately 4 inches.

Explanation:

Surface Area of a Cylinder Formula: S = 2πrh + 2πr²

Given: surface area = 408.41 sq in, radius = 5 in

Plug in the values: 408.41 = 2π(5)h + 2π(5)²

Solve for height: h = (408.41 - 50π) / 10π ≈ 4 in

Therefore, the height of the cylinder is approximately 4 inches.

Answer:

B) 1,152 grams

Step-by-step explanation:

Answer: x=-5 or x=-8

Step-by-step explanation:

x^2+13x+40=0

x^2 + 8x + 5x +40=0

x(x+8)+5(x+8)=0

(x+5)(x+8)=0

x+5=0 or x+8=0

x=-5 or x=-8

Answer:

96 apples

Step-by-step explanation:

100-4=96

Answer:

96

Step-by-step explanation:

Bruh just subtract 4 from 100 like seriously XD

Answer: the correct option is B

Step-by-step explanation:

The question is incorrect. The correct one is:

Suppose the null hypothesis is rejected. State the conclusion based on the results of the test. Six years ago, 11.4% of registered births were to teenage mothers. A sociologist believes that the percentage has decreased since then. which of the following is the correct conclusion? a. there is sufficient evidence to conclude that the percentage of teenage mothers has increased. b. there is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same. c. there is not sufficient evidence to conclude that the percentage of teenage mothers has increased. d. there is sufficient evidence to conclude that the percentage of teenage mothers has remained the same.

Solution:

This is a test of two population proportions. We would set up the hypothesis. The given proportion is 11.4/100 = 0.114

For the null hypothesis,

p = 0.114

For the alternative hypothesis,

p < 0.114

Since the null hypothesis is rejected, it means that there was sufficient evidence to reject it and the alternative hypothesis is accepted. the correct conclusion would be

b. there is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same.

Final answer:

When the null hypothesis is rejected, it indicates there is enough evidence to support the alternative hypothesis. In this case, the result would suggest an increase in the percentage of teenage mothers from six years ago.

Explanation:

If the null hypothesis is rejected, the correct conclusion would be that there is sufficient evidence to support the alternative hypothesis. In this scenario, the sociologist believes that the percentage of teenage mothers has increased since six years ago. Therefore, if we reject the null hypothesis, our conclusion would be option (a) - there is sufficient evidence to conclude that the percentage of teenage mothers has increased.

Answer:

  14 units

Step-by-step explanation:

Both points lie on the vertical line x=32, so the distance between them is the difference of their y-coordinates:

  29 -15 = 14 . . . . units

The two points are 14 units apart.

Answer:

[tex] d = \sqrt{(32-32)^2 +(15-29)^2} = \sqrt{196}= 14[/tex]

So then we can conclude that the smallest distance between the point A (32,15) and the point B(32,39) is 14

Step-by-step explanation:

When we have a two points on a dimensional space A and B we can find the distance between the two points with the following formula:

[tex] d= \sqrt{(x_A -x_B)^2 +(y_A -y_B)^2}[/tex]

Where (x_A,y_A) represent the coordinates for the point A and (x_B,y_B) represent the coordinates for the point B. And we know that the coordinates are :

A= (32,15) and B= (32,29)

And replacing in the formula for the distance we got:

[tex] d = \sqrt{(32-32)^2 +(15-29)^2} = \sqrt{196}= 14[/tex]

So then we can conclude that the smallest distance between the point A (32,15) and the point B(32,39) is 14

Answer:

12 feet.

Step-by-step explanation:

Note that by definition of a square, all side measurements are the same (as all sides are congruent).

You can solve the area of square by using the following equation:

A (square) = s²

A (square) = side x side.

Plug in 9 for A in the equation:

9 = s²

Isolate the variable, s. Root both sides:

√9 = √s²

s = √9 = √(3 * 3) = 3

One side of the square is 3 feet.

Next, solve for the perimeter. A square has 4 congruent sides, so multiply 3 with 4:

3 x 4 = 12 feet

12 feet is your answer.

~

Answer:

The correct option is option 2.

Step-by-step explanation:

In this case we need to test whether the previous data for the proportion of Americans who favored mandatory testing of students in public schools as a way to rate the school has decreased this year or not.

The hypothesis can be defined as follows:

H₀: The proportion supporting mandatory testing is not less than 74% this year, i.e. p ≥ 0.74.

Hₐ: The proportion supporting mandatory testing is less than 74% this year, i.e. p < 0.74.

It is provided that the p-value of the test is,

p-value = 0.015

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

The p-value of 0.015 or 1.5% implies that, if it is true that 74% of Americans still favor mandatory testing this year, then the probability that the poll results will show that 71% or less with the same opinion is 1.5%.

Thus, the correct option is option 2.

Answer:

x > 125

Step-by-step explanation:

x/25 > 5

Multiply both sides by 25

x/25 × 25 > 5 × 25

x > 125

Answer:

Step-by-step explanation:

Lines A B, C D, and D P intersect at point P. Angle A P C is 65 degrees, Angle C P E is blank, angle E P B is 90 degrees, and angle B P D is blank.

Determine the measures of the unknown angles in the figure.

m∠APD =  

✔ 115°

m∠CPE =  

✔ 25°

m∠BPD =  

✔ 65°

The measure of unknown angles

m∠APD = 115

m∠CPE = 25

m∠BPD = 65

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. They are also referred to as additional angles. Angles that share a vertex are said to be neighbouring. Hence, the linear angles have a common vertex in this instance as well.

Using Linear Pair

<APC + <CPE + <EPB = 180

65 + <CPE + 90 = 180

<CPE = 180 - 155

<CPE = 25

So, <APD = 90 + 25 = 115 degree

<CPE = 25 degree

<BPD = <APC = 65 degree (Vertically opposite angle)

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Answer:

  £7.43

Step-by-step explanation:

The total cost is ...

  13s +22t = 363.01

  13(15.35) +22t = 363.01 . . . . fill in the cost of a shirt

  22t = 163.46 . . . . . . . . . . . . . subtract 199.55

  t = 7.43 . . . . . . . . . . . divide by 22

The cost of a tie is £7.43.

Answer:

the answer is answer b, or 30.83ft

Step-by-step explanation:

Answer: correct: B. If the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time, so the test is not statistically significant.

Step-by-step explanation:

the test of the statistical p helps us to find the probability that a statistical value occurs in the null hypothesis, in the exercise we obtain a value of p of 0.21, we assume that for it to have statistical significance the value must be less than 0.05 which is constant, if this result is higher it indicates that there is no statistically significant evidence

Answer:

a) [tex]\mu = 3500 gr, \sigma = 500g[/tex]

[tex]X \sim N(\mu =3500, \sigma =500)[/tex]

b) For this case we want to find this probability:

[tex] P(X< 3110)[/tex]

And in the firt figure attached we see the normal standard distirbution with the parameters given and the green area represent the probability that we want to find.

c) For this case the z score is defined as:

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

And replacing we got:

[tex] Z= \frac{3100-3500}{500}= -0.8[/tex]

And in the second figure attached we illustrate the probability desired in terms of the z score. With the shaded area representing the probability that z<-0.8

d) We can find this probability using the normal standard distribution or excel and we got:

[tex] P(X<3100) =P(Z<-0.8) = 0.212[/tex]

Step-by-step explanation:

For this problem we define the random variable of interest X defined as "the birth weigth of babies" and the distribution for this variable is normal

Part a

The parameters are given:

[tex]\mu = 3500 gr, \sigma = 500g[/tex]

[tex]X \sim N(\mu =3500, \sigma =500)[/tex]

Part b

For this case we want to find this probability:

[tex] P(X< 3110)[/tex]

And in the firt figure attached we see the normal standard distirbution with the parameters given and the green area represent the probability that we want to find.

Part c

For this case the z score is defined as:

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

And replacing we got:

[tex] Z= \frac{3100-3500}{500}= -0.8[/tex]

And in the second figure attached we illustrate the probability desired in terms of the z score. With the shaded area representing the probability that z<-0.8

Part d

We can find this probability using the normal standard distribution or excel and we got:

[tex] P(X<3100) =P(Z<-0.8) = 0.212[/tex]

Answer:

Step-by-step explanation:

.7104

The probability that the difference in sample means (males – females) is greater than 20 cm is; 0.7088

The formula for z-score of difference between two means is;

z = (x₁' - x₂' - Δ)/√[(√σ₁²/n₁) + (σ₂²/n₂)]

We are given;

Sample mean 1; x₁' = 180 cm

Sample mean 2; x₂' = 158 cm

Standard deviation 1; σ₁ = 7 cm

Standard Deviation 2; σ₂ = 9 cm

hypothesized difference; Δ = 20 cm

Sample size; n₁ = n₂ = 10

Thus;

z = (180 - 158 - 20)/√[(7²/10) + (9²/10)]

z = 0.55

From online z-score table, we have;

p = 0.71

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Answer:

H0:μ=10.6

Ha:μ≠10.6

Step-by-step explanation:

you do not find out about the 12.9 until after stating the hypothesis.

The correct hypothesis set for testing whether the mean number of sick days has changed is H0: μ = 10.6 against Ha: μ ≠ 10.6, which represents a two-tailed test.

The correct set of hypotheses for the city administrator to test whether the mean number of sick days this year is

different from last year would be:

This is because the administrator is investigating if there is a change in either direction (increase or decrease), which is

considered a two-tailed test.

The null hypothesis (H0) always states that there is no difference or no effect, while the alternative hypothesis (Ha)

suggests that there is a difference from the norm, in that the mean is not equal to 10.6 days.

Based on the information given, the correct answer would be:

B. H0: μ = 10.6
Ha: μ ≠ 10.6

Answer:

B ✔️

Step-by-step explanation:

"Cell phones as an educational tool"

Answer:

solve for x

x   ≤  −  7

The expected mean weight gain of the broiler chickens after 5 generations of selection is 900 grams.

The expected mean weight gain of the broiler chickens can be calculated using the equation:

Σ = µ + (h^2 * S * t)

where µ is the initial population mean, h^2 is the heritability, S is the selection differential, and t is the number of generations.

From the question:

Substituting these values into the equation gives:

Σ = 700g + (0.80 * 50g * 5) = 700g + 200g = 900g

So, the expected mean weight gain after 5 generations of selection is 900 grams.

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After 5 generations of selection with a heritability of 0.80 and a selection differential of 50 g, the expected mean weight gain for the flock is 900 g.

To determine the expected mean weight gain after 5 generations, we use the breeder's equation, which is R = h²S, where R is the response to selection, h² is the narrow-sense heritability, and S is the selection differential.

⇒ R = h² x S

⇒ 0.80 x 50 g = 40 g

⇒ Total gain = R x 5

⇒ 40g/generations x 5 generations = 200 g

⇒ Expected mean weight gain after 5 generations = 700 g + 200 g

= 900 g

Thus, the expected mean weight gain after 5 generations of selection is 900 g.

Answer:

Step-by-step explanation:

Originally, there were 47 ducks.  After the dog jumped in, there were 29.  This means there were 18 ducks.

47 - 29 = 18

After the dog got out 5 groups of 3 ducks came.  This means that 15 ducks came back.

5 × 3 = 15

To find the total amount of ducks, add the ducks together.

18 + 15 = 33

To find the number of ducks remaining in the pond, subtract the 29 ducks scared away from the initial 47, then add the 15 ducks that returned in 5 groups of 3, resulting in 33 ducks now present in the pond.

The student has asked a question related to a basic arithmetic problem involving ducks in a pond. Initially, there were 47 ducks in the pond. A dog scares 29 ducks away. After the dog leaves, 5 groups of 3 ducks each return to the pond. To solve this, we perform two main steps:

find the leght of the arch for one degree by doing

2.25 ÷ 114°

u will get

0.0197368421 ft every 1°

and since a full circumference is equal to 360°, just do this:

0.0197368421 ft × 360° = 7.10526315789 ft

ROUND IT OFFFFFF

u get 7.105 ft

VOILA

Answer:

y=-28

Step-by-step explanation:

add 4 to both sides which gets you -y =28. Then you have to move the negative sign to the other side because y can't end with a negative

Answer:28.8 m

Step-by-step explanation:

length of arc=theta/360 x 2 x π x radius

Length of arc=150/360 x 2 x3.14x11

length of arc=(150x2x3.14x11) ➗ 360

Length of arc =10362 ➗ 360

Length of arc =28.8

Answer:

D.

Step-by-step explanation:

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