What are the coordinates

A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 614 babies bo

MissTica

Answer:

The number of newborns who weighed between 1614 grams and 5182 grams was of 586.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean weight was 3398 grams with a standard deviation of 892 grams.

This means that $\mu = 3398, \sigma = 892$

Proportion that weighed between 1614 and 5182 grams:

p-value of Z when X = 5182 subtracted by the p-value of Z when X = 1614.

X = 5182

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5182 - 3398}{892}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772

X = 1614

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1614 - 3398}{892}$

$Z = -2$

$Z = -2$ has a p-value of 0.0228

0.9772 - 0.0228 = 0.9544.

Out of 614 babies:

0.9544*614 = 586

The number of newborns who weighed between 1614 grams and 5182 grams was of 586.

4 0

3 years ago

Which of the following is equal to the rational expression when x does not equal -2 or -6?

MissTica

Answer:

B. 3 / (x+6)

Step-by-step explanation:

3(x+2)/(x+6)(x+2) = 3 / (x+6)

6 0

3 years ago

PLEASE HELP FAST!! <br>28. Find the value of x In the figure below. Show your work.

IceJOKER [234]

Answer:

62

Step-by-step explanation:

its 62

4 0

2 years ago

The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part

erastova [34]

Answer:

$71.63 \: \: \mathrm{cm^2 }$

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

$d=\sqrt{w^2 + l^2}$

The width is 10 cm and the length is 12 cm.

$d=\sqrt{10^2 + 12^2}$

$d \approx 15.62$

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

$A=\pi r^2$

The $r$ is the radius of the circle, to find radius from diameter we can divide the value by 2.

$r = \frac{d}{2}$

$r=\frac{15.62}{2}$

$r=7.81$

Let’s find the area now.

$A=\pi (7.81)^2$

$A \approx 191.625$

Find the area of rectangle.

$A=lw$

Length × Width.

$A = 12 \times 10$

$A=120$

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

$191.625-120$

$71.625 \approx 71.63$

5 0

3 years ago

Which relationship describes angles 1 and 2?

stiks02 [169]

They are vertical angles and here’s why.

Vertical angles are a pair of opposite angles formed by intersecting lines.

Supplementary angles are two angles that equal 180 when added together.

Adjacent angles are two angles that have a common side and a common vertex.

Complementary angles are two angles that add up to 90 degrees.

Hope this helped!

6 0

2 years ago