2(x-2)+7>-1 and 5-4x>9

For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to les

Elza [17]

Answer:

The 95% confidence interval estimate of the true population proportion of U.S. employers that were likely to require higher employee contributions for health care coverage is 0.52 +/- 0.0370

= (0.4830, 0.5570)

The margin of error M.E = 0.0370

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

p+/-M.E

Given that;

M.E = margin of error

Proportion p = 52% = 0.52

Number of samples n = 700

Confidence interval = 95%

z value (at 95% confidence) = 1.96

Substituting the values we have;

0.52 +/- 1.96√(0.52(1-0.52)/700)

0.52 +/- 1.96(0.0189)

0.52 +/- 0.0370

( 0.4830, 0.5570)

The 95% confidence interval estimate of the true population proportion of U.S. employers that were likely to require higher employee contributions for health care coverage is 0.52 +/- 0.0370

= (0.4830, 0.5570)

The margin of error M.E = 0.0370

4 0

3 years ago

Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2) .

Fofino [41]

Answer:

The points of the dilated figure would be at (-2, 10), (2, 6), and (-8, 4); an image of the figure is attached.

Step-by-step explanation:

First we translate the center of dilation and figure so the origin becomes the center of dilation.

Since the point (2, 2) is our center of dilation, we must translate it left 2 and down 2 to make the origin the center; this means we map every point

(x, y)→(x-2, y-2)

The scale factor of 2 means that each point will be multiplied by 2; this gives us the rule

(x, y)→(2x-4, 2y-4)

Lastly we will translate the figure right 2 and up 2 to move it back to its original position; this gives us the rule

(x,y)→(2x-4+2, 2y-4+2) = (2x-2, 2y-2)

The first point in the original figure, at the top, is (0, 6). Applying the transformation gives us

(0, 6)→(2*0-2, 2*6-2) = (0-2, 12-2) = (-2, 10)

The point on the right of the pre-image is (2, 4). Applying the transformation rule gives us

(2, 4)→(2*2-2, 2*4-2) = (4-2, 8-2) = (2, 6)

The point on the left of the pre-image is at (-3, 3). Applying the transformation rule, we have

(-3, 3)→(-3*2-2, 3*2-2) = (-6-2, 6-2) = (-8, 4)

7 0

3 years ago

Read 2 more answers

13.) Find the area of the shaded region if the side length of the square is 8 in.

sladkih [1.3K]

Answer:

<h3>Area of shaded region = 6.88 square inches</h3>

Step-by-step explanation:

Area of shaded region

When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).
$\sf \boxed{\text{Area of the shaded region =$\dfrac{Area \ of \ square - area \ of \ circle}{2}$}}$