8 customers entered a store over the course of 16 minutes. At what rate were the customers entering the store in minutes per customer?

Final answer:

The 95% confidence interval for the true mean score of subjects' attitudes towards public transportation is between 67.361 and 85.039, computed using a t-score for a sample size of 25.

Explanation:

To calculate the 95% confidence interval for the mean score of all subjects regarding their attitudes towards public transportation, we will use the following formula for a confidence interval when the population is normally distributed but the population standard deviation is not known:

CI = ± t*(s/√n), where CI is the confidence interval, ± denotes plus or minus, t is the t-score that corresponds to the desired level of confidence and degrees of freedom (df = n - 1), s is the sample standard deviation, and √n is the square root of the sample size.

For our sample size of n = 25, the degrees of freedom is df = 24. Consulting a t-distribution table or using statistical software to find the t-value for df = 24 at a 95% confidence level, we assume a t-value approximately equal to 2.064 (this may slightly vary depending on the source of the t-distribution table). Plugging in the values:

CI = ± 2.064*(21.4/√25), thus the margin of error is approximately 2.064 * 4.28

The confidence interval is then the sample mean ± the margin of error:

76.2 ± (2.064 * 4.28)

This calculation yields a confidence interval for the population mean score of:

Lower Bound = 76.2 - 8.83872 ≈ 67.361

Upper Bound = 76.2 + 8.83872 ≈ 85.039

Therefore, rounding to three decimal places: 67.361 (Lower Bound) and 85.039 (Upper Bound).

We are 95% confident that the true mean score of all subjects' attitudes towards public transportation lies between 67.361 and 85.039.

Answer:

30 PS4 in the shipment are likely to be defective

Step-by-step explanation:

We take the estimate from the sample and estimate to all the PS4 in store. This means that we can solve this question using a rule of 3.

From the sample of 50 PS4, 3 are defective. How many are expected to be defective out of 500?

50PS4 - 3 defective

500 PS4 - x defective

[tex]50x = 3*500[/tex]

[tex]x = \frac{1500}{50}[/tex]

[tex]x = 30[/tex]

30 PS4 in the shipment are likely to be defective

Answer:

don't take my word but I think 150

Step-by-step explanation:

Answer:

1.5 hours

Step-by-step explanation:

make each half hour represent t

Cost C(t) = 24 + 14t

66 = 24 + 14t

42 = 14t

t = 3

3 half hours = 1.5 hours

Answer:

1 and a half hours of work

Step-by-step explanation:

You minus 66 and 24 to get 42. Then you divide 42 and 14

Answer:

  (x +3)^2 +(y -4)^2 = 52

Step-by-step explanation:

The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

We are given the value of (h, k), and we can find the value of r^2. Using the values of h and k, our equation is ...

  (x +3)^2 +(y -4)^2 = r^2

Since we know this equation is satisfied by the point (1, -2), we can use this point in the equation to find r^2:

  (1 +3)^2 +(-2 -4)^2 = r^2

  16 +36 = r^2 = 52

The equation of the circle is ...

  (x +3)^2 +(y -4)^2 = 52

Answer:$7.50+$0.50xN or C+$0.50xN

Step-by-step explanation:

Because the pizza is 7.50 and the extra toppings are 0.50 cents so the number of toppings is n and the cost for the pizza is c so C+0.50xN.

Good Luck!!

Answer:

a. .92

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error of the interval is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The lower bound is the point estimate [tex]\pi[/tex] subtracted by the margin of error.

The upper bound is the point estimate [tex]\pi[/tex] added to the margin of error.

Point estimate:

The confidence interval is symmetric, so it is the mean between the two bounds.

In this problem:

[tex]\pi = \frac{0.372 + 0.458}{2} = 0.415[/tex]

Sample of 400, which means that [tex]n = 400[/tex]

Margin of error is the estimate subtracted by the lower bound. So [tex]M = 0.415 - 0.372 = 0.043[/tex]

We have to find z.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.043 = z\sqrt{\frac{0.415*0.585}{400}}[/tex]

[tex]z = \frac{0.043\sqrt{400}}{\sqrt{0.415*0.585}}[/tex]

[tex]z = 1.745[/tex]

[tex]z = 1.745[/tex] has a pvalue of 0.96.

This means that:

[tex]1 - \frac{\alpha}{2} = 0.96[/tex]

[tex]\frac{\alpha}{2} = 1 - 0.96[/tex]

[tex]\frac{\alpha}{2} = 0.04[/tex]

[tex]\alpha = 0.08[/tex]

Confidence level:

[tex]1 - \alpha = 1 - 0.08 = 0.92[/tex]

So the correct answer is:

a. .92

To determine the confidence coefficient for the proportion of MSU students who attended at least three football games, the margin of error is calculated from the given interval range and related to the Z-value of a standard normal distribution. The coefficient that matches the margin of error from the calculation is approximately 0.95, indicating a 95% confidence level.

The confidence interval for the proportion of Michigan State University (MSU) students who attended at least three football games is given as (0.372, 0.458). To determine the confidence coefficient used to calculate this interval, we need to look at the width of the interval and how it relates to the standard error of the proportion.

The width of the confidence interval is 0.458 - 0.372 = 0.086. Since we know that the total width of the interval spans the range of twice the margin of error, one margin of error is then 0.086 / 2 = 0.043.

Using the Z-table for the normal distribution, we can find which confidence coefficient corresponds to a Z-value that gives a margin of error of 0.043, considering that the formula for the margin of error in this case would be: Z * sqrt((p*(1-p))/n). For a sample size of 400, and approximating p by the midpoint of the confidence interval (0.372 + 0.458)/2 = 0.415, the computation would look roughly like this:

Z * sqrt((0.415*(1-0.415))/400) = 0.043

After solving this equation for Z, we can then locate the corresponding confidence level on the standard normal (Z) distribution table. This process would lead to finding that the closest confidence coefficient that would generate the margin of error of 0.043 with the given sample size and point estimate proportion is approximately 0.95, or 95%.

Therefore, the confidence coefficient is 0.95, which corresponds to option b. 0.95.

Answer:

(7x+2y)- length (4x-3y)- width

22x-2y is the perimeter.

Step-by-step explanation:

2 + 2 =4 is four tgvjixyi9

Answer:

It’s 4 or fish

Step-by-step explanation:

Answer:

lateral surface area = 48 inches²

Step-by-step explanation:

The picture below is the square base pyramid you are referring. The lateral area is adding the area of the 4 triangles in the pyramid.

area of a triangle = 1/2 × b × h

The slant height of the triangle is gotten using Pythagoras theorem

lateral surface area = 4 × (1/2 ×  3 × 8)

lateral surface area = 4 × 24/2

lateral surface area = 4 × 12

lateral surface area = 48 inches²

Answer:

48 in

Step-by-step explanation:

<3 hoped this helped <3

Answer:

p value= 2.228

Step-by-step explanation:

since average of two groups is being compared two-sample t-test will be performed.

degrees of freedom= 12-2=10

at α=.025 from t table

p value= 2.228

Answer:  the minute hand travel 39.6 cm

Step-by-step explanation:

Length of minute hand of a clock = 9 cm

Central angle made by the minute hand = 252°

To find: how far the minute hand travel

Therefore

Length of minute hand is equal to the radius of circle

As we know the circumference of a circle is given by

[tex]C= 2\pi r \dfrac{\theta}{360^\circ}[/tex] where C is circumference , r is radius and ∅ is the central angle  

So we have

[tex]C= 2 \times \dfrac{22}{7} \times 9 \times \dfrac{252^\circ}{360^\circ} \\\\\Rightarrow C= 2 \times \dfrac{22}{7} \times \dfrac{252^\circ}{40^\circ} \\\\\Rightarrow C= \dfrac{11}{7} \times \dfrac{252^\circ}{10^\circ} = 39.6[/tex]

Hence, the minute hand travel 39.6 cm in 42 minute period

Final answer:

The minute hand of the clock, which measures 9 centimeters in radius, travels approximately 39.3 centimeters along the arc when it moves through a 252-degree central angle in a 42-minute period.

Explanation:

To determine how far the minute hand of a clock travels in a 42-minute period, we need to calculate the arc length, which is a portion of the circumference of the circle traced by the minute hand's tip. We are given that the minute hand is 9 centimeters long, meaning it is the radius of the circle, and it travels through an arc of 252° during a period of 42 minutes.

The formula to calculate the arc length is:

ℓ = θ/360 × 2πr

Where:

ℓ is the arc length

θ is the central angle in degrees

r is the radius of the circle

In this case:

θ = 252°

r = 9 cm

Now, let's substitute these values into the formula:

ℓ = 252/360 × 2 × π × 9

ℓ ≈ 0.7 × 2 × 3.14159 × 9

ℓ ≈ 39.27 cm

So, to the nearest tenth of a centimeter, the minute hand travels approximately 39.3 cm during a 42-minute period.

I think it is c. y= -2x hope you have a good day!

Step-by-step explanation:

One hundred minus five n

Answer:

x=-3(y-5)

Step-by-step explanation:

Answer:

We conclude that less than thirty percent of the teen girls smoke to stay thin.

Step-by-step explanation:

We are given that the Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old).

After four years the girls were surveyed again. Sixty-three said they smoked to stay thin.

Let p = percentage of the teen girls who smoke to stay thin.

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 30%      {means that at least thirty percent of the teen girls smoke to stay thin}

Alternate Hypothesis, [tex]H_A[/tex] : p < 30%      {means that less than thirty percent of the teen girls smoke to stay thin}

The test statistics that would be used here One-sample z proportion statistics;

                    T.S. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample % of teen girls who smoke to stay thin = [tex]\frac{63}{273}[/tex] = 0.231

           n = sample of teen girls = 273

So, test statistics  =  [tex]\frac{0.231-0.30}{\sqrt{\frac{0.231(1-0.231)}{273} } }[/tex]  

                              =  -2.705

The value of z test statistics is -2.705.

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 z table gives critical value of -1.645 for left-tailed test.

Since our test statistics is less than the critical value of z as -2.705 < -1.645, 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 less than thirty percent of the teen girls smoke to stay thin.

About 23% of the surveyed girls smoked to maintain or lose weight. Social and cultural factors contribute to this behavior, which often leads to health issues. Broader and more comprehensive studies are needed for a conclusive answer.

Yes, there's some evidence to suggest fewer than thirty percent of teen girls smoked to stay thin. Only 63 girls out of the 273 surveyed stated they smoked for weight issues, which equates to around 23%. However, this result is not conclusive, as it is based solely on the girls who participated in this particular study. For a more comprehensive conclusion, we would need to evaluate multiple studies with larger participant samples.

In broader context, the challenges teens face with self-image are due in part to sociocultural factors, such as the beauty ideal of thinness often emphasized in media. The image of thin models contributes significantly to body image concerns and associated behaviours like smoking to maintain or lose weight. Such behaviours can lead to health problems including, but not limited to, type 2 diabetes, heart disease, and even cancer.

Also, obesity is a rising epidemic affecting many, with its highest rates found in the United States. Increasing awareness about these issues and promoting healthier methods of maintaining weight can help in addressing these problems.

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Here is your answer! uwu

A score of 120 is one standard deviation below the mean of 150 on a test with a standard deviation of 30.

The score that is 1 standard deviation below the mean is found by subtracting the standard deviation from the mean. In the context of this normal distribution of test scores, with a mean of 150 and a standard deviation of 30, we calculate the score one standard deviation below the mean as follows:

Score = Mean – Standard Deviation = 150 – 30 = 120

This calculation indicates that a score of 120 is one standard deviation below the mean on this test.

Answer:

2304.8 ft^2

Step-by-step explanation:

The lateral area of one of the pyramid is 21.5 * 13.4 * 4/2 = 576.2

There are 4 of them, so we multiply that by 4 : 576.2 * 4 = 2304.8

Answer:

t ≤ 33

Step-by-step explanation:

The answer can be 33 or below.

Answer:

Yes, that's true.

Step-by-step explanation:

A brokerage fee is the commission paid to a salesperson or broker for selling insurance or securities, respectively. The amount of this fee is usually calculated as a percentage of the transaction price, though it may be a flat fee.

brokerage fee compensates a broker for executing a transaction. It is usually, but not always, a percentage of the transaction value. In finance, stockbrokers most often come to mind, but real estate agents and business brokers frequently charge brokerage fees

Answer:

A brokerage charges  brokerage account fees  regardless of whether an investor buys or sells assets, and trade commissions  are incurred with every transaction.

Answer:

The correct answer is (C).  

Because the sample sizes are less than 10% of their respective population sizes, the standard deviation of the difference in sample means is approximately≈2.912 minutes.

​  

​

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct answer is (C).

Because the sample sizes are less than 10% of their respective population sizes, the standard deviation of the difference in sample means is approximately \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}} = \sqrt{\frac{12.8^2}{30}+\frac{5.2^2}{40}} \approx 2.912

n

1

​

s

1

2

​

​ +

n

2

​

s

2

2

​

​

​ =

30

12.8

2

​ +

40

5.2

2

​

​ ≈2.912 minutes.

Answer:[tex]f(x)=\frac{3}{4}x^2+2x-5[/tex]

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b

Answer: 108 minutes

Step-by-step explanation:

This translates to:

Juan Pablo takes 7 minutes to do a full lap on a football field, Pedro needs 2 more minutes ruuning at the same speed thanJuan Pablo.

How much time does Pedro need to do 12 laps?

The fact that Pedro runs at the same speed than Juan Pablo, and needs more time, may mean that the radius of the laps of Pedro are a little bit bigger than the ones of Juan Pablo (which means that the total distance that pedro runs is bigger)

If Juan Pablo does a lap in 7 minutes, then Pedro does a lap in 7 minutes + 2 minutes = 9 minutes.

Then to do 12 laps, he needs 12 times that amount of time, this is:

12*9 min = 108 minutes

Answer:

A

Step-by-step explanation:

Plate X will result in the lightest place since it's density and thickness both are less.

Answer:

40 kids

Step-by-step explanation:

288 minus the 8 kids that had to hide in cars= 280. 280 divided by the seven busses is 40

Answer:

The probability that she will not pull lipstick is 71%.

Step-by-step explanation:

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

[tex]P(E)=\frac{n(E)}{N}[/tex]

Here,

n (E) = favorable number of outcomes

N = total number of outcomes

The contents in Mrs. Braddock's bag are:

Number of lipsticks = n (L) = 6

Number of eye shadows = n (S) = 4

Number of eye liners = n (E) = 6

Number of mascaras = n (M) = 5

Total number of items in the bag = N = 21

Consider that the probability of an event occurring is P. Then the probability of the given event not taking place is known as the complement of that event.

Complement of the given event is, 1 – P.

Compute the probability of selecting a lipstick as follows:

[tex]P(L)=\frac{n(L)}{N}\\\\=\frac{6}{21}\\\\=\frac{2}{7}[/tex]

Compute the  probability of not selecting a lipstick as follows:

[tex]P(L^{c})=1-P(L)[/tex]

          [tex]=1-\frac{2}{7}\\\\=\frac{7-2}{7}\\\\=\frac{5}{7}[/tex]

Convert this probability into percentage as follows:

[tex]\frac{5}{7}\times 100 = 71.4286\approx 71\%[/tex]

Thus, the probability that she will not pull lipstick is 71%.

Answer:

The mean of the number of restaurants that failed within a year is 23.04 and the standard deviation is 3.96.

Step-by-step explanation:

For each restaurant, there are only two possible outcomes. Either it fails during the first year, or it does not. The probability of a restaurant failling during the first year is independent of other restaurants. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

The probability that an independent restaurant will fail in the first year is 32%.

This means that [tex]p = 0.32[/tex]

72 independent restaurants

This means that [tex]n = 72[/tex]

Mean:

[tex]E(X) = np = 72*0.32 = 23.04[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{72*0.32*0.68} = 3.96[/tex]

The mean of the number of restaurants that failed within a year is 23.04 and the standard deviation is 3.96.

Final answer:

The mean number of independent restaurants in the sample expected to fail within the first year is 23.04, and the standard deviation is approximately 4.28.

Explanation:

To find the mean and standard deviation of the number of restaurants that failed within a year in Kristen's research, we can use the properties of the binomial distribution. The probability of a single restaurant failing (success in this context) is 0.32 (32%). Given a sample size of 72 restaurants, the mean number of restaurants that fail within a year is the product of the sample size and the probability of failure.

The formula for the mean (μ) of a binomial distribution is μ = n * p, where n is the sample size and p is the probability of success. Therefore, the mean number of failed restaurants is 72 * 0.32 = 23.04.

The formula for the standard deviation (σ) of a binomial distribution is σ = √(n * p * (1 - p)). Thus, the standard deviation of failed restaurants is √(72 * 0.32 * (1 - 0.32)) = √(72 * 0.32 * 0.68) ≈ 4.28.

Therefore, the mean number of restaurants that failed within a year is 23.04, and the standard deviation is approximately 4.28.

Answer:

A) y = 2 x

Step-by-step explanation:

The equation for direct variation is

y = kx where the constant of proportionality is k

y = 2x

Answer:

We have two relations

2*x*y = 6 (2 times x times y is equal to six)

x - y = 3  ( the difference between x and y is trhe)

Where whe have two variables, x and y.

To solve this system, the first step is isolation one of the variables in one of the equations, let's isolate x in the second equation.

x - y = 3

x = 3 + y

now we can replace this in the other equation and then solve it for y.

2*x*y = 6

2*(3 + y)*y = 6

6y + 2y^2 = 6

now we have the quadratic equation:

2y^2 + 6y - 6 = 0

the solutions are:

[tex]y = \frac{-6 + -\sqrt{6^2 - 4*2*(-6)} }{2*2} = \frac{-6 +- 9.2}{4}[/tex]

the solutions are:

y = (-6 + 9,2)/4 = 0.8

y = (-6 - 9.2)/4 = -3.8

if y = 0.8, then:

x = 3 + y = 3.8

if y = -3.8

x = 3 + y = 3 - 3.8 = -0.8

so we have two possible solutions:

(-0.8, -3.8) and (3.8, 0.8)