B. 99?% of the population lies in the interval between ___ and ___.

C. There is 99?% confidence that the proportion of worried adults is between ___ and ___.

Answer:

**Answer:**

C. There is 99% confidence that the proportion of worried adults is between 0.487 and 0.567

**Step-by-step explanation:**

**1) Data given and notation **

n=1016 represent the random sample taken

X=535 represent the people stated that they were worried about having enough money to live comfortably in retirement

estimated proportion of people stated that they were worried about having enough money to live comfortably in retirement

represent the significance level

Confidence =0.99 or 99%

z would represent the statistic

p= population proportion of people stated that they were worried about having enough money to live comfortably in retirement

**2) Confidence interval**

The confidence interval would be given by this formula

For the 99% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.

And replacing into the confidence interval formula we got:

And the 99% confidence interval would be given (0.487;0.567).

There is 99% confidence that the proportion of worried adults is between 0.487 and 0.567

Answer:
### Final answer:

### Explanation:

### Learn more about Confidence Interval here:

To build a 99% **confidence** interval, we first calculate our sample proportion by dividing the number of such instances by the total sample size. Next, we determine the standard error of the proportion, then our margin of error by multiplying the standard error by the Z value of the selected confidence level. Lastly, we determine the confidence interval by adding and subtracting the margin of error from the sample proportion.

To construct a 99% confidence interval for the proportion of adults worried about having enough money to live comfortably in retirement, we will utilize **statistical methods** and **proportions**. First, we must calculate the sample proportion. The sample **proportion** (p) is equal to **535** (the number who are worried) divided by **1016** (the total number of adults surveyed).

Then, we find the standard error of the proportion which we get by multiplying the square root of ((p*(1-p))/n) where n is the number of adults sampled. The margin of error is found using the Z value corresponding to the desired confidence level, in this case, 99%. Multiply the standard error by this Z value. Lastly, we construct the confidence interval by taking the sample proportion (p) ± the margin of error.

The result will give you the 99% confidence interval - meaning we are 99% confident that the true proportion of adults who are worried about having enough money to live comfortably in retirement lies within this interval.

#SPJ3

There are 21 people on the basketball team and 45 people on the football team. If 100 people attend the athletic banquet … a) What is the minimum and maximum number of people that are on both the basketball and the football teams? b) What is the minimum and maximum number of people that are on neither of these teams? Let x = number of individuals both in basketball and footballc) Draw a Venn diagram to illustrate this

If somebody answered my question i will give them thanks and brill and vote

7+16y=;1/4 solution or no solution?

What is the slope of the line?

Select all that justify the following statement.2•1/2=1commutative - additioninverse - additionassociative - multiplicationsymmetriccommutative - multiplicationassociative - additioninverse - multiplication

If somebody answered my question i will give them thanks and brill and vote

7+16y=;1/4 solution or no solution?

What is the slope of the line?

Select all that justify the following statement.2•1/2=1commutative - additioninverse - additionassociative - multiplicationsymmetriccommutative - multiplicationassociative - additioninverse - multiplication

**Answer:**

Attachment 1 : Option A,

Attachment 2 : Option D,

Attachment 3 : Option B,

Attachment 4 : Instantaneous rate of change will be 24

**Step-by-step explanation:**

"Remember that we can solve such questions by finding the derivative first"

1 : Let's consider this approach a bit differently. If we were to graph this function, we would see that the point (-2,26) would lie on the curve having a negative slope.

The rate of change would thus be negative, eliminating choices b and d. And, the slope of this function would be much greater than 4 due to the coefficient of " 5 " in f(x) = 5x² + 6. **Hence our answer will be option a.**

2 : f'(5) = - 2 * 5 + 4,

f'(5) = - 10 + 4 = - 6

**Your solution is option d.**

3 : f'(2) = 12 / 2 + 1 / - 3,

f'(2) = 12 / 3 / - 3 = 4 / - 3,

f'(2) = - 4 / 3

**Your solution is option b.**

4 : Here again we can apply the power rule, where using constant multiple rule and derivative of a constant, you can quickly find the derivative of g.

g'(t) = 3(2x¹) + 0 = 6t,

And now we can evaluate the derivative at that value of t.

g'(4) = 6(4) = 24 - **hence the instantaneous rate of change at t = 4, will be 24**

Standard Deviation=20

**Answer:**

159 hwqb **Step-by-step explanation:2n3wq,brudj32nwqrdb3wndj32wsd **

**Answer:**

Length ≥ 40

Width ≥ 5

Perimeter = 2 × (Length + Width)

2 × (Length + Width) ≤ 150

**Step-by-step explanation:**

To create a graph showing the possible dimensions of the garden, we need to plot the length and width of the rectangular area on the x and y axes, respectively. Since we want the length to be at least 40 feet and the width to be at least 5 feet, we can represent these constraints by the following inequalities:

Length ≥ 40

Width ≥ 5

We also know that the total length of fencing available is 150 feet, which means that the perimeter of the rectangular area must be less than or equal to 150 feet. The perimeter of a rectangle is given by:

Perimeter = 2 × (Length + Width)

So, we can write the inequality representing the perimeter as:

2 × (Length + Width) ≤ 150

To graph the possible dimensions of the garden, we can plot the points that satisfy all three inequalities on the x-y plane.

Regarding the vegetables, it is not clear what vegetables the user would like to plant in the garden. As such, we cannot provide a specific answer to this question.

In summary, we need to write three inequalities to represent the constraints in the problem, and we can graph the solution space using these inequalities.

It can be written as 5 x 10^ -11 or 0.5 x 10^ -10

Hope it helps.

**Answer:**

14/8 21/12

**Step-by-step explanation:**

Answer: 2(10+5)

Step-by-step explanation: half of 20 is 10. half of 10 is five and i put them both in parentheses. outside the parenthesis i placed 2 so it is multiplied to the inner set of numbers.

Correct answer- 2(10+5) :)