MATHEMATICS COLLEGE

Employees at a large company are surveyed about their health insurance status. Employees are coded as "1" if health insurance is obtained through the company’s benefit program, "2" if health insurance is obtained from another source (such as through a spouse’s employment benefit program), or "0" if the employee does not have health insurance. This variable is:categorical numerical quantitatively categorical All answers of the answer options are correct.

Answers

Answer 1

Answer:

Answer:

Categorical is the correct answer to this question.

Step-by-step explanation:

The variable class standing is "Categorial".

As a categorical variable, it is a factor that can accept one of a small, and typically set, range of additional values, assigned each person, and another unit of measurement to a specific group or marginal class on the grounds of some long-lasting.
The data obtained may be either prescriptive or numeric.
Numbers also make no sense when you allocate significance to certain numbers.
Categorical data will help you go there. Classic data is when statistics are obtained in classes or categories.

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If quadrilateral PQRS is an isoceles trapezoid if RP=12 then SQ= ?

Answers

The question is missing parts. Here is the complete question.

Quadrilateral PQRS (shown below) is an isosceles trapezoid. If RP = 12, then SQ = ?

Answer: SQ = 12

Step-by-step explanation: A trapezoid is a quadrilateral with two opposite parallel sides, called bases. The trapezoid is an isosceles trapezoid when the non-parallel sides have the same length.

One property of isosceles trapezoid is that its diagonals are congruent, i.e., have the same length.

In the picture, segment RP is one of the trapezoid's diagonal. It is asking the measure of SQ, which is the other diagonal. So:

SQ = RP

SQ = 12

Segment SQ of isosceles trapezoid PQRS is 12 units.

Answer:

if quadrilateral PQRS is an isosceles trapezoid if RP=12 then SQ= 12

Step-by-step explanation:

In a survey of 1016 ?adults, a polling agency? asked, "When you? retire, do you think you will have enough money to live comfortably or not. Of the 1016 ?surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 99?% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.A. There is a 99?% probability that the true proportion of worried adults is between ___ and ___.

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 ___.

Answers

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

$\hat p=(535)/(1016)=0.527$ estimated proportion of people stated that they were worried about having enough money to live comfortably in retirement

$\alpha=0.01$ 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

$\hat p \pm z_(\alpha/2) \sqrt{(\hat p(1-\hat p))/(n)}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_(\alpha/2)=2.58$

And replacing into the confidence interval formula we got:

$0.527 - 2.58 \sqrt{(0.527(1-0.527))/(1016)}=0.487$

$0.527 + 2.58 \sqrt{(0.527(1-0.527))/(1016)}=0.567$

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

Final answer:

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.

Explanation:

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.

Learn more about Confidence Interval here:

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A rectangular prism has a length of 1 1/4 centimeters, a width of 4 cm, and a height of 3 1/4 cm. What is the volume of the prism

Answers

the equation to find the volume of a prism is volume=basexheight
*convert the lengths into decimals
first, you have to find the base (area=lengthxwidth)
a=1.25x4
a=5
now fill in the volume equation with the information you have.
v=5x3.25
v=16.25
the volume of the rectangular prism is 16.25 cm or 16 1/4 cm.
Hope I helped...

Y=1/2x-5
Write it in a standard form

Answers

we know that

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.Ax+By=C

so
Y=1/2x-5--------> (1/2)x-y=5
where
A=1/2
B=-1
C=5

the answer is
(1/2)x-y=5

A crew of highway workers paved 12 mile in 14 hour. If they work at the same rate, how much will they pave in one hour?

Answers

Answer:

0.857 miles in 1 hour

Step-by-step explanation:

It is given that,

A crew of highway workers paved 12 mile in 14 hour.

We need to find how much will they pave in 1 hour if they work at the same rate.

14 hours = 12 miles

To find how much they pave in 1 hour, we must divide 12 by 14 as follows :

$1\ \text{hour}=(12)/(14)\ \text{miles}\n\n=0.857\ \text{miles}$

Hence, they pave 0.857 miles in 1 hour.0.857 miles in 1 hour.

A 94-ft tree casts a shadow that is 110 ft long. What is the angle of elevation of the sun?

Answers

Answer:

Step-by-step explanation:

Setting up a diagram would be helpful here, so we should have the vertical leg representing the 84-ft. tree and the horizontal leg representing the 120 ft. shadow. With the two measurements we are given, we should use the tangent ratio, opp/adj, to set up an equation to solve for the angle of elevation. So the equation will be:

tan θ = 84/120. Using the tan inverse function on the calculator, we have tan-1( 84/120) = θ and, rounding our decimal value to the nearest 10th, we have θ =35°.

Final answer:

The angle of elevation of the sun, formed by a 94-ft tree and its 110-ft shadow, can be found using tangent in trigonometry. The formula tan(θ) = opposite/adjacent is used, where the opposite is the height of the tree (94 ft) and the adjacent is the length of the shadow (110 ft).

Explanation:

In the given problem, the tree and its shadow form a right triangle with the sun forming the angle of elevation. The length of the tree represents the opposite side of the triangle, and the shadow length represents the adjacent side. To find the angle of the sun's elevation, we can use the tangent function in trigonometry, which is the ratio of the opposite side to the adjacent side.

Step 1: Define variables
Let θ be the angle of elevation.
Opposite side (o) = 94 ft.
Adjacent side (a) = 110 ft.

Step 2: Use the tangent function
The formula is tan(θ) = o/a.

Step 3: Substitute the values
We substitute our variables into the formula to get θ = tan-1(94/110).

Step 4: Calculations
You can calculate this using a scientific calculator to find the angle of elevation.

Learn more about Trigonometry here:

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