Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the given sample data. An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1 equals smooth dash yellow1=smooth-yellow​, 2 equals smooth dash green2=smooth-green​, 3 equals wrinkled dash yellow3=wrinkled-yellow​, and 4 equals wrinkled dash green4=wrinkled-green. Do the results make​ sense?

Answer:

The mean of the the random variable X is 1200.

The standard deviation of the random variable X is 21.91.

Step-by-step explanation:

The random variable X is defined as the number of city residents in the sample who support the proposal.

The random variable X follows a Binomial distribution with parameters n = 2000 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

Check the conditions as follows:

[tex]np=2000\times 0.60=1200>10\\\\n(1-p)=2000\times (1-0.60)=800>10[/tex]  

Thus, a Normal approximation to binomial can be applied.

So,  the random variable X can be approximate by the Normal distribution .

Compute the mean of X as follows:

[tex]\mu=np[/tex]

  [tex]=2000\times 0.60\\=1200[/tex]

The mean of the the random variable X is 1200.

Compute the standard deviation of X as follows:

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

  [tex]=\sqrt{2000\times 0.60\times (1-0.60)}\\=\sqrt{480}\\=21.9089\\\approx 21.91[/tex]

The standard deviation of the random variable X is 21.91.

Answer: They can buy 140 ​vans, 70​ small trucks, and 70 large trucks.

Step-by-step explanation:

Let x represent the cost of each commercial van.

Let y represent the cost of each small truck.

Let z represent the cost of each large truck.

The total number if vehicles that they want to purchase is 280. It means that

x + y + z = 280- - - - - - - - - - - 1

Each commercial van will cost ​$55 000​, each small truck ​$20000​, and each large truck ​$70000. The total amount to be spent is $14000000. It means that

55000x + 20000y + 70000z = 14000000- - - - - - -2

Past experience shows that they need twice as many vans as small trucks. It means that

x = 2y

Substituting x = 2y into equation 1 and equation 2, it becomes

2y + y + z = 280

3y + z = 280

z = 280 - 3y - - - - - - - - -3

55000(2y) + 20000y + 70000z = 14000000

110000y + 20000y + 70000z = 14000000

130000y + 70000z = 14000000- - - - - - - 4

Substituting equation 3 into equation 4, it becomes

130000y + 70000(280 - 3y) = 14000000

130000y + 19600000 - 210000y = 14000000

130000y - 210000y = 14000000 - 19600000

- 80000y = -5600000

y = -5600000/- 80000

y = 70

x = 2y = 2 × 70

x = 140

z = 280 - 3y = 280 - 3(70)

z = 280 - 210

z = 70

Answer:

A) 9.49 ft

Step-by-step explanation:

The area of the rectangle is:

[tex]A = (18\,ft)\cdot (5\,ft)[/tex]

[tex]A = 90\,ft^{2}[/tex]

The length of the square is:

[tex]l = \sqrt{90\,ft^{2}}[/tex]

[tex]l \approx 9.487\,ft[/tex]

Answer:

2,100 people.

Step-by-step explanation:

If 2 out of 5 people were in favor of a new high school being built, we know that 3 out of 5 people are against the decision. We can simply use this as a fraction to find the amount of people against:

[tex]3500 * \frac{3}{5}= 2100[/tex]

Therefore, 2,100 people are against the decision.

Answer:

b

Step-by-step explanation:

The answer is 5.381!

The number 5.3809 rounded to the nearest thousandth is 5.381 because the thousandth is 3 decimals.

Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.

We have a number:

= 5.3809

The thousandth(3 decimals) place is:

Rounded to the nearest 0.001 or the Thousandths Place.

The number becomes:

= 5.381

Thus, the number 5.3809 rounded to the nearest thousandth is 5.381 because the thousandth is 3 decimals.

Learn more about the rounding off number here:

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Answer:

honestly this is very confusing could you send a graph?

Step-by-step explanation:

Answer:

Inside a checkbook is the register. This is where you record events in your checking account such as checks you've written, cash withdrawals, and deposits. It's very important to write down every transaction so you know exactly how much money you have in the bank.

Step-by-step explanation:

Answer:

You can store your money in an organized fashion, separating them by type (penny, dime, $1, $5, etc.).

Answer:

The first one is false and the second is vertex

Step-by-step explanation:

9514 1404 393

Answer:

  9 days

Step-by-step explanation:

Divide quantity by rate to find time.

  (3 cups)(1/3 cup/day) = 3/(1/3) days = 3(3/1) days = 9 days

Answer:

  15,700 cubic feet

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

where r is the radius (half the diameter), and h is the height.

Put the given numbers into the formula and do the arithmetic.

  V = (3.14)(10 ft)²(50 ft) = 15,700 ft³

__

An estimate of the arithmetic will get you to the right answer choice:

  πr²h = π(100)(50) = 5000π ≈ 3×5000 = 15,000 . . . . close to 15,700

Answer:

 15,700 cubic feet

Step-by-step explanation:

Answer:

x = ± 6sqrt(5)

Step-by-step explanation:

x^2 = 180

Take the square root of each side

sqrt(x^2) = ±sqrt(180)

x =±sqrt(36)sqrt(5)

x = ± 6sqrt(5)

Answer:

Edge 2020

A

-13.42, 13.42

Step-by-step explanation:

Answer: $200

Step-by-step explanation:

Answer:

The answer is C.

Answer:

Wat is the question?

Step-by-step explanation:

Answer:

on the no. line the negative no.s are to the left of zero. -5 is less than 4 because -5 lies to the left of 4 on the no. line -1 is greater than -3 because -1 lies to the right of -3 on the no. line . for less than you can use the sign <- sign

Step-by-step explanation:

-2>-9

7x^2 > -2x^2

6 > -8

pls mark me brainliest if you feel this answer helps you.

if you have any question pls feel to ask in the comment section.

thanks.

Answer:

The 95% confidence interval about the mean age is between 17.6 years and 57.6 years.

This means that we are 95% sure that the mean age of an inmate in the death row is in this interval. 39.2 is part of this interval, which implies that the mean age of a​ death-row inmate has not changed since then.

Step-by-step explanation:

We have the sample standard deviation, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 32 - 1 = 31

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 31 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0395

The margin of error is:

M = T*s = 2.0395*9.8 = 20

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 37.6 - 20 = 17.6 years

The upper end of the interval is the sample mean added to M. So it is 37.6 + 20 = 57.6 years.

The 95% confidence interval about the mean age is between 17.6 years and 57.6 years.

This means that we are 95% sure that the mean age of an inmate in the death row is in this interval. 39.2 is part of this interval, which implies that the mean age of a​ death-row inmate has not changed since then.

Final answer:

To construct a 95% confidence interval about the mean age of death-row inmates, we can use the formula: sample mean ± (critical value) * (standard deviation / square root of sample size). In this case, the 95% confidence interval is approximately 35.8 to 39.4 years old.

Explanation:

To construct a 95% confidence interval about the mean age, we can use the formula: sample mean ± (critical value) * (standard deviation / square root of sample size).

In this case, the sample mean is 37.6, the standard deviation is 9.8, and the sample size is 32. To find the critical value, we look up the z-score for a 95% confidence level, which is approximately 1.96.

Substituting these values into the formula, we have:

37.6 ± 1.96 * (9.8 / √32)

Simplifying the equation gives us the 95% confidence interval of approximately 35.8 to 39.4. This means that we are 95% confident that the true mean age of death-row inmates falls within this interval.

Answer:

a) [tex]36401.1-2.262\frac{18230.58}{\sqrt{10}}=23360.63 \approx 23361[/tex]    

[tex]36401.1+2.262\frac{18230.58}{\sqrt{10}}=49441.56 \approx 49442[/tex]  

b) increasing the sample size or decreasing the confidence level

Since if we increase the sample size the margin of error would be lower and if we decrease the confidence level the margin of error would be reduced since the critical value t would be lower

Step-by-step explanation:

We have the following data given

22,485 56,758 59,762 17,671 16,301 12,262 48,307 51,196 47,326 31,943

We can calculate the sample mean and deviation with this formula:

[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex]s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

[tex]\bar X=36401.1[/tex] represent the sample mean

[tex]\mu[/tex] population mean

s= 18230.58 represent the sample standard deviation

n=10 represent the sample size  

Part a

The confidence interval for the mean is given by:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=10-1=9[/tex]

The  Confidence level is 0.95 or 95%, the significance is [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], the critical value for this case would be [tex]t_{\alpha/2}=2.262[/tex]

Replacing the info given we got:

[tex]36401.1-2.262\frac{18230.58}{\sqrt{10}}=23360.63 \approx 23361[/tex]    

[tex]36401.1+2.262\frac{18230.58}{\sqrt{10}}=49441.56 \approx 49442[/tex]    

Part b

The confidence interval can be made narrower:

increasing the sample size or decreasing the confidence level

Since if we increase the sample size the margin of error would be lower and if we decrease the confidence level the margin of error would be reduced since the critical value t would be lower

Answer:

Cost to buy and run the first car for 5 years=$24000

Cost to buy and run the second car for 5 years=$26000

I think we should buy the first car, because It is cheaper to buy and maintain

Step-by-step explanation:

first car:

Cost $18000 to buy

Cost $100 to maintain each month

5years =5 x 12=60months

Cost to maintain for 60months=100x60=$6000

First car cost to buy and run over the 5 year period=18000+6000=$24000

Second car:

It cost $22400 to buy

Cost $60 to maintain each month

5years=60months

Cost to maintain for 60months is 60 x 60=$3600

Cost to buy and run over the second car for 5years is 22400+3600=$26000

Answer:

3238.37571429

Step-by-step explanation:

or 3238.4

Answer:

9:45 pm

Step-by-step explanation:

1 1/2 hours is 1 hour 30 min

11:15 - 1 hr 30 = 9:45

Answer:

9:45 im pretty sure :)

Step-by-step explanation:

So they canoed for 1 hour and 30 minutes. so you subtract 1:30 from 11:15

Answer:75/8

Step-by-step explanation:

weight gain=81/4-87/8

weight gain=(2x81-1x87)/8

Weight gain=(162-87)/8

weight gain =75/8

Answer:

D. (3, -4)

Step-by-step explanation:

Imagine you are going 4 right and 3 up.

Now if you turn this 90o clockwise, you are going 4 down and 3 right.

that is (3, -4)

Final answer:

Rotating the point (4, 3) 90 degrees clockwise about the origin results in the point (3, -4), making option D the correct answer.

Explanation:

The question asks about rotating the point (4, 3) 90 degrees clockwise about the origin and determining the coordinates of the resulting point. To rotate a point 90 degrees clockwise around the origin, you can switch the x and y coordinates and then change the sign of the new y-coordinate. Thus, the original point (4, 3) becomes (3, -4) after the rotation.

This process can be visualized as a transformation where the point's x-coordinate effectively becomes the y-coordinate but negative, and the y-coordinate becomes the new x-coordinate. This transformation corresponds to choice D. (3, -4) as the correct answer. This method is a straightforward application of rotation in the coordinate system, relying on the rules of rotating points in two-dimensional space.

Answer:

The 95​% confidence interval for p₁-p₂

( -0.01564 ,0.04044 )

Step-by-step explanation:

Explanation:-

Given data Of the 1230 males​ surveyed, 176 responded that they had at least one tattoo

Given the first sample size 'n₁' = 1230

Given x = 176

The first sample proportion

[tex]p_{1} = \frac{x}{n_{1} } = \frac{176}{1230} =0.1430[/tex]

q₁ = 1-p₁ =1-0.1430 = 0.857

Given data Of the 1079 females​ surveyed, 141 responded that they had at least one tattoo

Given the second sample size n₂ = 1079

and x = 141

The second sample proportion

[tex]p_{2} = \frac{x}{n_{2} } = \frac{141}{1079} = 0.1306[/tex]

q₂ = 1-p₂ = 1-0.1306 =0.8694

The 95​% confidence interval for p₁-p₂

[tex](p_{1} - p_{2} - Z_{\frac{\alpha }{2} } se(p_{1} - p_{2}) ,p_{1} - p_{2} + Z_{\frac{\alpha }{2} } se(p_{1} - p_{2})[/tex]

where

        [tex]se(p_{1}-p_{2}) = \sqrt{\frac{p_{1}q_{1} }{n_{1} }+\frac{p_{2} q_{2} }{n_{2} } }[/tex]

[tex]se(p_{1}-p_{2}) = \sqrt{\frac{0.143(0.857) }{1230}+\frac{ 0.1306(0.8694) }{1079 }[/tex]

 se(p₁-p₂) = 0.01431

[tex](p_{1} - p_{2} - Z_{\frac{\alpha }{2} } se(p_{1} - p_{2}) ,p_{1} - p_{2} + Z_{\frac{\alpha }{2} } se(p_{1} - p_{2})[/tex]

[tex][(0.1430-0.1306) - 1.96(0.01431) , 0.1430-0.1306) + 1.96(0.01431)[/tex]

On calculation , we get

( 0.0124- 0.0280476 ,0.0124+ 0.0280476)

(   -0.01564 ,0.04044 )

Conclusion:-

The 95​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.

(   -0.01564 ,0.04044 )

Answer:

c is correct

Step-by-step explanation:

edge

the arc length of the following segment of a circle is c. 18.6.

Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length.

here, we have,

given that,

the following segment of a circle.

angle=97°

radius=11

so, the arc length= 18.6

hence, the arc length of the following segment of a circle is c. 18.6.

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Answer:

that is the solution to the question

Answer:

a) removing a vowel, not replacing it, and then removing another vowel

Step-by-step explanation:

This question is from the topic Probability. In Probability, a dependent event is one in which the outcome of one event alters or changes the outcome of another event. A classic example of this is seen when sampling without replacement is done. When sampling without replacement is done, the outcome of another event within the same set changes. When sampling with replacement is done, the outcome of the events are independent because every item in the population still has an equal chance of being chosen. However, in the case of sampling without replacement, once an item has been selected from a population, the outcome of every other event after it is altered based on the item that was initially chosen.

Let's assume that the bag has 26 tiles (one for each alphabet from a - z)

Population = 26, consonant = 21, vowel = 5

If a vowel or consonant is removed & is replaced, we have:

Pr (choosing "a") = number of item ÷ population

Pr = 1 ÷ 26 = 1/26

Pr (choosing "y") = 1 ÷ 26 = 1/26

Doing this for over & over again, produces the same probability

However, if an item was selected without replacement, we have:

Pr (choosing "a") = 1 ÷ 26 = 1/26

Without replacement implies that if I choose tile letter "a", tile letter "a" will not be included in subsequent events, hence:

Population = 25

Pr (choosing "u") = 1 ÷ 25 = 1/25

Without replacement, population = 24

Pr (choosing "y") = 1 ÷ 24 = 1/24

So, we see the dependent nature of the events in how that the outcome of the next event is being altered. As such, option a describes a dependent event & is the correct answer

Answer:

A. removing a vowel, not replacing it, and then removing another vowel

simple answer ^^

Step-by-step explanation:

EDGE 2021    : )

Answer:

54

Step-by-step explanation:

because it is

Answer: The volume of the composite solid is about 589.5 cubic feet.

Step-by-step explanation: