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The table below shows the number of U.S. residents with health insurance in 2015, in thousands, categorized by age group and annual income. According to these results, if a U.S. resident with health insurance who was 35-64 in 2015 is selected at random, what is the approximate probability that this resident had an income between $50,000 and $79,999?

A. 0.20

B. 0.25

C. 0.40

D. 0.80

One inch on the map is equal to 1000 miles.

To find what one inch would equal on the map, we can set up a proportion using the given information. We know that three-fourths of an inch on the map equals 750 miles. Therefore, the proportion would be: 3/4 inch = 750 miles. To find what one inch would equal, we can cross multiply and solve for the missing value:

3/4 inch * 1 inch = 750 miles * 1 inch

Simplifying, we get: 3/4 = 750 miles * 1 inch

Dividing both sides by 3/4, we get: 1 inch = (750 miles * 1 inch) / (3/4)

Simplifying further, we find that one inch on the map is equal to 1000 miles.

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 1 gallon covers 350 square feet.

2.5 gallons will cover 875 square feet.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can walk 8 miles in 2 hour

In one hour, the man can walk for 4 miles

We have,

One gallon covers 350 square feet.

This can be written as:

1 gallon = 350 square feet

Multiply both sides by 2.5.

2.5 x 1 gallon = 2.5 x 350 square feet

2.5 gallons = 875 square feet

Thus,

If 1 gallon covers 350 square feet.

2.5 gallons will cover 875 square feet.

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Answer:   [tex]a.\ 129,400\ ft^3[/tex]

Step-by-step explanation:

The volume of a cylinder is given by:-

[tex]\text{Volume}=\pi r^2h[/tex]

Given: The diameter of cylinder = 203 ft.

Then the radius of the cylinder =[tex]\dfrac{203}{2}[/tex] ft.

The height of the cylinder = 4 ft.

Now, The volume of cylinder :will be -

[tex]\text{Volume}=(3.14)(\dfrac{203}{2})^2(4)=\\\\\Rightarrow\text{Volume}=129,396.26\approx129,400\ ft^3[/tex]

Answer: The missing term of the Geometric sequence can be 150.

Step-by-step explanation:

Let the missing number is x,

Hence, the G.P. will,

50, x, 450

Since, the consecutive element of G.P. are in same ratio,

[tex]\implies \frac{x}{50}= \frac{450}{x}[/tex]

[tex]\implies x^2 = 50\times 450 = 22500[/tex]

[tex]\implies x = 150[/tex]

Thus, the missing term of the Geometric sequence can be 150.

To find the number of pixels brighter than 163 gray levels in a digital camera histogram, calculate the Z-score and use it to determine the percentage of values above that score, resulting in 160,000 pixels.

A gray-scale digital camera with 1,000,000 pixels has a histogram with a mean of 125 and standard deviation of 15 gray levels. To find the number of pixels brighter than 163 gray levels, first calculate the Z-score for 163: Z = (163 - 125) / 15. Then, use a Z-table or calculator to find the percentage of values above this Z-score, which corresponds to the number of pixels brighter than 163.

The answer to the question is 160,000 pixels brighter than 163 gray levels.

Jake has shifted the (B) social-psychological context by moving to a quieter, more private space in the stadium to ask Diane a serious question, which changes the norms and atmosphere to match the situation's gravity.

Jake has changed the social-psychological context by moving from the stands to a quiet lounge. The social-psychological dimension of context includes status relationships among participants, roles, norms of the society or group, and the overall atmosphere like friendliness, formality, or gravity of the situation. By choosing to ask Diane a serious question in a quieter, more private environment, Jake is altering the norms and atmosphere to better suit the gravity of the conversation he intends to have, thus changing the social-psychological context.

Answer:

(square root) 30

Step-by-step explanation:

I don't know if that's right I'm taking this test right now it might be wrong sorry if its wrong lol

Answer:

2 solutions

Step-by-step explanation:

Given the equation sin(4x)=1/2, to know the total number of solutions that the equation has within the interval (0,2π), we will need to solve for x first.

sin(4x)=1/2

4x = arcsin1/2

4x = 30°

x = 30/4

x1 = 7.5° (This angle lies in the first quadrant)

Since sine is positive in the second quadrant as well and the angle in the second quadrant is (180°-theta) where theta is 7.5°, therefore;

x2 = 180-7.5°

x2 = 172.5°

Therefore 7.5° and 172.5° are the two solutions of x that falls within the range (0,2π)

Answer: the answer is FALSE. Just took this on a p e x

Step-by-step explanation:

The square root of the given algebraic expression [tex]64y^{16}[/tex] is [tex]\bold{8y^8}[/tex]

"It is a mathematical statement which consists of numbers, variables and mathematical operations."

For given question,

We have been given an algebraic expression [tex]64y^{16}[/tex]

We need to find the square root of given algebraic expression.

[tex]\Rightarrow \sqrt{ 64y^{16}}\\\\= \sqrt{ 64\times y^{16}} \\\\=\sqrt{64} \times \sqrt{y^{16}} \\\\=8\times (y^{16})^{\frac{1}{2} }\\\\=8\times y^{\frac{16}{2} }\\\\= 8\times y^8[/tex]

Therefore, the square root of the given algebraic expression [tex]64y^{16}[/tex] is [tex]\bold{8y^8}[/tex]

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The variation is a direct variation, and the function to model it is y = 3x

From the table, we can see that:

The y values are calculated by multiplying the corresponding x values by 3

Take for instance;

When x = 3, y = 9

When x = 9, y = 27

Using the above pattern, the function to model the table is y = 3x

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Answer:

B. Neither

Step-by-step explanation:

Answer:

No correlation.

Step-by-step explanation:

A Scatter (XY) Plot has points that show the relationship between two variables.

Scatter plots use a collection of points placed using Cartesian coordinates to show values of two variables. By showing a variable on each axis, it can be detected if there is a relationship or correlation between the two variables.

Several types of correlation can be interpreted through the patterns shown in the scatter diagrams. These are: positive (values increase together), negative (one value decreases as the other increases), null (no correlation).

In the case presented, it can be clearly seen that the variables have no correlation, because the trend is not that the points form a straight line, but that there is too much dispersion.

So, the answer is:

No correlation.

Hope this helps!

Answer:

the answer  60

Step-by-step explanation:

First I did 10x7 which equals 70, Second I did 5x7 which equals 35 and then subtracted 5 to get 30, Third I did 100-70 to get 30 and than I did 30+30 to get 60.

The length of the rectangle whose area is (10r² − 11r − 6) and the width is (2r−3) is (5r+2).

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

Area of rectangel = Length × Width

Given that the area of a rectangle is 10r² − 11r − 6, while the width is 2r − 3. Therefore, it can be writen as,

[tex]\text{Area = Length}\times\text{Width}\\\\10r^2 - 11r - 6 = \text{Length} \times (2r - 3)\\\\\text{Length} = \dfrac{10r^2 - 11r - 6}{2r-3}\\\\\text{Length} = 5r+2[/tex]

Hence, the length of the rectangle is (5r+2).

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