If the perimeter of the regular hexagon shown above is 78 centimeters, what is the length of each side?

Mary and Jane both took PSY230 last semester but they were in two different sections taught by different professors. Mary's clas

Greeley [361]

Answer:

Due to the higher z-score, Jane did better in class.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Whoever's grade had the better z-score did better in class.

Mary's:

Mean of 85, standard deviation of 5, grade of 88. This means that $\mu = 85, \sigma = 5, X = 88$ . So

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

$Z = \frac{88 - 85}{5}$

$Z = 0.6$

Jane's

Mean of 80, standard deviation of 10, grade of 88. This means that $\mu = 80, \sigma = 10, X = 88$ . So

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

$Z = \frac{88 - 80}{10}$

$Z = 0.8$

Due to the higher z-score, Jane did better in class.

4 0

3 years ago

18. Curry powder is sold at $7.45 per 100 g. How much money will Thuy need in order to buy 3 kg of curry powder?

MissTica

Answer:

Step-by-step explanation:

$7.45 = 100g

x = 3kg( 3 × 1000) = 3000g

∵ $7.45 = 100g

x = 3000g

(100 × x) = (7.45 × 3000)

100x = 22350

100x/100 = 22350/100

x = $223.5

4 0

2 years ago

Read 2 more answers

PLEASE HELP! I’m struggling with each part any help will be amazing

Vlad [161]

Answer:

slope: -5/2

y-intercept: (0, 2)

Linear function: y = -5/2x + 2

Step-by-step explanation:

Given points (-2, 7) and (2, -3):

Use these points to solve for the slope of the line using the formula:

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) = (-2, 7)

(x2, y2) = (2, -3)

Substitute these values into the equation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 7) / [2 - (-2)]

m = -10/ (2 + 2)

m = -10/4 = -5/2

Therefore, the slope of the line in reduced form is m = -5/2.

The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis of the Cartesian grid. The y-intercept is also the value of y when x = 0.

To solve for the y-intercept, use one of the given points (2, -3) and the slope (m = -5/2), and substitute their values into the slope-intercept form:

y = mx + b

-3 = -5/2(2) + b

-3 = -5 + b

Add 5 to both sides to solve for the y-intercept, b:

-3 + 5 = -5 + 5 + b

2 = b

Given the value of b = 2, it means that the y-intercept is (0, 2).

Therefore, given the slope of -5/2, and the y-intercept, b = 2:

The linear equation in slope-intercept form is: y = -5/2x + 2

Please mark my answers as the Brainliest, if you find this helpful :)

5 0

3 years ago