Suppose we take repeated random samples of 50 college students from the same population and determine a 95% confidence interval for the mean GPA from each sample. Which of the following statements is true regarding the confidence intervals?
A. The intervals are centered around the population mean GPA.
B. The intervals are centered around the sample mean GPA.
C. 95% of the intervals will contain the sample mean in the long run.
D. 95% of the intervals will contain the population mean in the long run.

Answer:

# of plants    # of gardens

  10-14                   2

  15-19                   2

  20-24                 5

  25-29                 3

  30-34                  3

  35-39                  5

  40-44                  4

Step-by-step explanation:

10-14: 10, 12 (2 numbers)

15-19: 18, 19 (2 numbers)

20-24: 20, 22, 23, 24, 24 (5 numbers)

25-29: 25, 27, 38 (3 numbers)

30-34: 31, 33, 33 (3 numbers)

35-39: 36, 36, 36, 37, 38 (5 numbers)

40-44: 40, 44, 44, 44 (4 numbers)

Answer:

10-14 ⇒ 2

15-19 ⇒ 2

20-24 ⇒ 5

25-29 ⇒ 3

30-34 ⇒ 3

35-39 ⇒ 5

40-44 ⇒ 4

Answer:

[tex]18\sqrt{10}$ units[/tex]

Step-by-step explanation:

We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.

We want to find the point on the line y=3x which is closest to Q.

Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.

If x=a, y=3a, so the point P has the coordinates (a,3a).

Distance between point Q and P

[tex]=\sqrt{(60-a)^2+(0-3a)^2}\\D =\sqrt{10a^2-120a+3600}[/tex]

To minimize D, we find its derivative

[tex]\dfrac{dD}{da}=\dfrac{10a-60}{\sqrt{10a^2-120a+3600} }\\$Setting \dfrac{dD}{da}=0\\10a-60=0\\10a=60\\a=6[/tex]

Therefore, the y-coordinate for P is 3*6=18.

The point P=(6,18).

Next, we calculate the distance between P(6,18) and (60,0).

[tex]D =\sqrt{10(6)^2-120(6)+3600}\\=\sqrt{3240}\\=18\sqrt{10}$ units[/tex]

Answer:

7:1

Step-by-step explanation:

28:4=

7(4):1(4)=

7:1

Hope this helps!

Answer:

[tex]7:1[/tex]

Step-by-step explanation:

[tex]28:4[/tex]

Common highest factor is 4.

Simplify the ratio.

[tex]28 \div 4 : 4 \div 4[/tex]

[tex]7:1[/tex]

Answer:

17.50

Step-by-step explanation:

The profit on one hotdog is

1 - .65 = .35

Multiply by the number of hotdogs sold

.35 * 50 =17.50

Answer:

This is because 2 is the stem and the leaves are 1, 2, 4, and 5

so the numbers are 21, 22, 24, and, 25

This is because 2 is the stem for the leaves 6 and 7

3 is the stem for the leaf 0

So the numbers are 26, 27, and 30

Hope this helped

Answer:

As you know about the stem and leaf plot

1 |7 7 7 8                   => 17, 17, 17, 18

2|1 2 4 5 6 7             => 21, 22, 24, 25, 26, 27

3|0 2 5 5 6 7 7 8 9  => 30, 32, 35, 35, 36, 37, 37, 38, 39

4|1 2                         => 41, 42

Now we count to complete the table:

16-20       |       4    {17, 17, 17, 18}

21-25       |       4    {21, 22, 24, 25}

26-30      |       3    {26, 27, 30}

31-35       |       3    {32, 35, 35}

36-40      |       5    {36, 37, 37, 38, 39}

41-45       |       2    {41, 42}

Hope this helps!

Answer:

27.11% probability that 2 of them have blue eyes

Step-by-step explanation:

For each person, there are only two possible otucomes. Either they have blue eyes, or they do not. The probability of a person having blue eyes is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

8% of all people have blue eyes.

This means that [tex]p = 0.08[/tex]

Random sample of 20 people:

This means that [tex]n = 20[/tex]

What is the probability that 2 of them have blue eyes?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{20,2}.(0.08)^{2}.(0.92)^{18} = 0.2711[/tex]

27.11% probability that 2 of them have blue eyes

The probability that 2 of them have blue eyes is 27.11%.

Given that,

Approximately 8% of all people have blue eyes.

Out of a random sample of 20 people,

We have to determine,

What is the probability that 2 of them have blue eyes?

According to the question,

People having blue eyes p = 8% = 0.08

Sample of people n = 20

For each person, there are only two possible outcomes. Either they have blue eyes, or they do not.

The probability of a person having blue eyes is independent of any other person.

The probability that 2 of them have blue eyes is determined by using a binomial probability distribution.

[tex]\rm P (X = x) =n_C_x\times p^x \times (1-p)^{n-x}}[/tex]

Therefore,

The probability that 2 of them have blue eyes is,

[tex]\rm P (X = x) =n_C_x\times p^x \times (1-p)^{n-x}}\\\\ \rm P (X = x) = \dfrac{n!}{(n-x)! \times x!} \times p^x \times (1-p)^{n-x}}\\\\[/tex]

Substitute all the values in the formula,

[tex]\rm P (X = 2) = \dfrac{20!}{(20-2)! \times 2!} \times (0.08)^2 \times (1-0.08)^{20-2}}\\\\ P (X = 2) = \dfrac{20!}{(18)! \times 2!} \times (0.0064) \times (0.92)^{18}}\\\\ P (X = 2) = \dfrac{19\times 20}{ 2} \times (0.0064) \times (0.222)\\\\ P(X = 2) = {19\times 10}\times (0.00142)\\\\P(X = 2) = 0.2711\\\\P(X = 2) = 27.11 \ Percent[/tex]

Hence, The required probability that 2 of them have blue eyes is 27.11%.

For more details refer to the link given below.

https://brainly.com/question/23640563

Answer:

0.5

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X higher than x is given by the following formula.

[tex]P(X > x) = \frac{b - x}{b-a}[/tex]

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes.

This means that [tex]a = 5, b = 45[/tex].

What is the probability that the mail arrival time is more than 25 minutes on a given day?

[tex]P(X > 25) = \frac{45 - 25}{45 - 5} = 0.5[/tex]

So the probability that the mail arrival time is more than 25 minutes on a given day is 0.5.

Answer:

39 degrees and 51 degrees respectively.

Step-by-step explanation:

Two angles are complementary if their sum adds up to 90 degrees.

Given the pair of complementary angles formed by the three support beams:

3x+3 and 5x-9

Then:

3x+3+5x-9=90 degrees

Collect like terms

3x+5x=90+9-3

8x=96

Divide both sides by 8

x=12

Therefore, the measure of each angle is:

[tex](3x+3)=3(12)+3=36+3=39^\circ\\(5x-9)=5(12)-9=60-9=51^\circ[/tex]

The measure of each angle is 39 degrees and 51 degrees respectively.

Answer:

39 and 51 degrees

Step-by-step explanation:

Answer:

The probability that the final settlement amount is between 1 and 3 given that the initial claim is 2 = (2/9) = 0.2222

Step-by-step explanation:

The complete question is presented in the attached image to this solution

The joint probability distribution is given as

f(x, y) = {2/[x²(x - 1)} × y^-[(2x-1)/(x-1)] for x>1 And y>1

Given that the initial claim estiamted by the comapny is 2, determine the probability that the final settlement amount is between 1 and 3.

That is, x = 2, and y ranges from 1 to 3

Inserting x = 2 into the expression, we obtain

f(y) = (1/2) × y⁻³ = (y⁻³/2)

The required probability would then be

P(1 < y ≤ 3) = ∫³₁ f(y) dy

= ∫³₁ (y⁻³/2) dy

= [y⁻²/-4]³₁

= [3⁻²/-4] - [1⁻²/-4]

= (-1/36) - (-1/4)

= (1/4) - (1/36)

= (8/36)

= (2/9) = 0.2222

Hope this Helps!!!

Answer:

m = -2/3

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

So,

[tex]m = \frac{-1-1}{9-6}[/tex]

m = -2/3

Answer:

not 100% sure but my answer is 110

Step-by-step explanation:

It is More Affordable and is the better Buy From All the other choices.

Answer:

1,280,000 (1.28 million.)

Step-by-step explanation:

If Network B schedules its top show (with a probability of 0.7), Network A will get 1.1 million viewers.

If Network B schedules a different show during that time​ slot, (with a probability of 0.3), Network A will get 1.9 million viewers.

Therefore, the probability distribution table of number of viewers of Network A is:

[tex]\left|\begin{array}{c|c|c}$Number of Viewers, x&1.1$ million&$1.7 million\\P(x)&0.7&0.3\end{array}\right|[/tex]

Therefore, the expected number of viewers for Network​ A's top show

= (1100000 X 0.7) + (1700000 X 0.3)

=1,280,000

The expected number of viewers for Network​ A's top show is 1.28 million.

Answer:

Option D

Step-by-step explanation:

I think the least preferred method the researcher would like is to select a random sample of students from each college. This means the researcher would have to go to every college and randomly selects participants which is very exhausting. Thus, this would be the least prefer method over the others...

Answer:

3422 x232

Step-by-step explanation:

Answer:

c and d

Step-by-step explanation:

the x intercepts are the solutions

Answer:

(0,2) and (-5,0)

Step-by-step explanation:

the point where the two graph lines meet would be the answer.

Answer:

There is enough evidence to support the claim that that the actual percentage that do not fail is different from the stated percentage (61%).

Test statistic z = -2.19.

P-value = 0.03.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that that the actual percentage that do not fail is different from the stated percentage (61%).

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.61\\\\H_a:\pi\neq 0.61[/tex]

The significance level is assumed to be 0.05.

The sample has a size n=1300.

The sample proportion is p=0.58.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.61*0.39}{1300}}\\\\\\ \sigma_p=\sqrt{0.000183}=0.014[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.58-0.61+0.5/1300}{0.014}=\dfrac{-0.03}{0.014}=-2.189[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=2\cdot P(z<-2.189)=0.03[/tex]

As the P-value (0.03) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that that the actual percentage that do not fail is different from the stated percentage (61%).

Answer:

h= pi(r)2/A or h= 3.14 times 7 times 2 divided by A

Step-by-step explanation:

u need to do the opposite of multiplication which is division to find the height

hope this helps

correct me if this is wrong

Answer:

340

Step-by-step explanation:

If x is the amount of pages in the book we can write:

1/4x + 5 + 3/5(x - (1/4x + 5)) + 10 + 12 + 24 = x

1/4x + 51 + 3/5(3/4x - 5) = x

1/4x + 51 + 9/20x - 3 = x

7/10x + 48 = x

3/10x = 48

x = 160

Answer:

Step-by-step explanation:

Add the two equations together:

  (x -y) +(x +y) = (34) +(212)

  2x = 246

  x = 123

  y = x-34 = 89

Malik has 89 foreign stamps and 123 domestic stamps.

Answer:

89 and 123

Step-by-step explanation:

Answer:

a. 16 years

b. 50 years

Step-by-step explanation:

Let us assume the age of Ahsan be X

And, the age of his mother be Y

It is mentioned in the question that the sum of the both ages to be 61 years and their difference is 29 years

So now the equation is as follows

X + Y = 61 .............................. (1)

-X + Y = 29 .............................. (2)

Now solve this

We get

2Y = 90

Y = 45 = Ahsan mother age age

Now put the value of Y in any of the above equation

So X would be

X = 61 - 45

= 16 i.e ahsan age

The mother age is

= 45 years + 5 years

= 50 years

The 5 years come from

= 21 years - 16 years

= 5 years

Answer:

60

Step-by-step explanation:

x=60 .

The triangle is equilateral and x=60 cause the two lines are ||

a. x=60°

b. Alternate interior angles

Solution,

Given,

All sides of triangle are equal.

AB=BC=AC

<ABC=<ACB=<BAC=y

By angle sum property of triangle,

<ABC+<BCA+<CAB=180

or y+y+y=180

or 3y=180

or y=180/3

y=60

Now,

<ACB=<CAD

<CAD(x)=60( Alternate interior angles)

Hope this helps ..

Good luck on your assignment..

Answer:

Type II error.

Step-by-step explanation:

We have a hypothesis test for the claim that placing a seasonal cookie product on an end cap (the shelf at the end of an aisle at a store) will make a difference in sales.

The null hypothesis will state that there is no difference, while the alternative hypothesis will state that there is significant positive difference.

The result is a P-value of 0.1288 and the null hypothesis failing to be rejected.

As the null hypothesis failed to be rejected, if an error has been made in the conclusion, is that we erroneusly accept a false null hypothesis.

This is a Type II error, where the null hypothesis is accepted although the alternative hypothesis is true.

Answer:

180

Step-by-step explanation:

2(24)-3=45

24-8=√16=4

45*4=180

Answer:

y≤4

Step-by-step explanation:

y≤4

try to graph it on a parabola and u will find the answer above :D hope this helped

Answer:

Step-by-step explanation:

Since the value of the car decreases by a common factor each year, the decay is exponential.

An exponential decay function is of the form

[tex]A(t)=A_0(1-r)^t$ where:\\Initial Value, A_0=\$11,000\\$Decay Factor, r=9%=0.09[/tex]

Therefore, the function modeling the car's decay is:

[tex]A(t)=11000(1-0.09)^t[/tex]

We want to determine the car's value in two years.

When t=2

[tex]A(2)=11000(1-0.09)^2\\A(2)=\$9109.10[/tex]

The value of the car in 2 years will be A(t)=$9109.10

Final value of the car after 2 years will be $9109.10

 Value of the car decay by 9%.

Since, 9% is a common factor by which the value of car is decreasing,

Therefore, decay will be exponential.

Expression for the exponential decay is given by,

[tex]P=P_0(1-\frac{r}{100} )^t[/tex]

Here, [tex]P=[/tex] Final price

[tex]P_0=[/tex] Initial price

[tex]r=[/tex] Rate of decay

[tex]t=[/tex] time

  If initial price of the car [tex]P_0=11000[/tex], rate of decay [tex]r=0.09[/tex] and [tex]t=[/tex] Number of years

By substituting the values in the expression,

P = [tex]11000(1-0.09)^2[/tex]

  = 11000(0.91)²

  = $9109.10

   Therefore, final value of the car after 2 years will be $9109.10

Learn more,

https://brainly.com/question/24515212

Answer:

Step-by-step explanation:

Claim: if the mean amount of garbage per bin is different from 50.

Null hypothesis: u=50

Alternative hypothesis : u =/ 50

Using the z score formular for a one sample z test - z = (x - u ) / (sd/√n)

Where x = 48.99, u = 50 sd =3.7 and n = 36

z = 48.99 - 50 / (3.7/√36)

z = -1.01 / (3.7/6)

z = -1.01/0.6167

z = -1.6377

To find the p value at a 0.01 level of significant from the -1.6377 z score for a two tailed test the p value using the p value calculator is 0.1016. The result is not significant at 0.01 level of significant thus we will fail to reject the null and conclude that the mean amount of garbage per bin is 50.

Answer:

649,006

Step-by-step explanation:

Six hundred and forty nine thousand= 649,000

and six so we have

649006

THE ANSWER IS 649,006 HOPE IT HELPS

Answer:

A. y = 7(x + 1)²-3

Step-by-step explanation:

Parabola:

[tex]y = 7x^{2} + 14x + 4[/tex]

[tex]y = 7(x^{2} + 2x) + 4[/tex]

Putting into vertex form, remember that:

[tex](x + a)^{2} = x^{2} + 2ax + a^{2}[/tex]

In this question:

[tex]x^{2} + 2x[/tex], to put into this format:

[tex]x^{2} + 2x + 1 = (x + 1)^{2}[/tex]

We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then

Vertex form:

[tex]y = 7(x^{2} + 2x + 1) + 4 - 7[/tex]

[tex]y = 7(x + 1)^{2} - 3[/tex]

So the correct answer is:

A. y = 7(x + 1)²-3