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2 years ago

If a normal distribution has a mean of 62 and a standard deviation of 12 what is the z-score for a value of 80

Mathematics

1 answer:

kap26 [50]2 years ago

3 0

Answer with explanation:

$\text{Mean}=\mu = 62\\\\ \text{standard deviation}=\sigma=12\\\\ \bar X=80\\\\Z_{score}=\frac{\bar X -\mu}{\sigma}\\\\Z_{score}=\frac{80-62}{12}\\\\Z_{score}=\frac{18}{12}\\\\Z_{score}=1.5$

Option B:→ 1.5

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The measure of one angle is six more than half the measure of another angle. If the angles are complementary, find both measures

Snowcat [4.5K]

Answer:

The measures of the two angles are 34° and 56°

Step-by-step explanation:

* Lets explain how to solve the problem

- The complementary angles are the angles whose the sum

of their measures is 90°

- The measure of one angle is six more than half the measure

of another angle

- Let the measure of the second angle angle is x

∵ The measure of the 2nd angle is x

∵ The measure of the first angle is 6 more than the half of the

measure of the second angle

∴ The 1st angle is 6 + 1/2 x

∵ The two angles are complementary

∴ The sum of their measures is 90°

∴ x + (6 + 1/2 x) = 90

∴ (x + 1/2 x) + 6 = 90

∴ 3/2 x + 6 = 90

- Subtract 6 from both sides

∴ 3/2 x = 84

- Multiply both sides by

∴ 3x = 168

- Divide both sides by 3

∴ x = 56

∵ x is the measure of the 2nd angle

∴ The measure of the 2nd angle is 56°

∵ The measure of the 1st angle = 6 + 1/2 x

∵ x = 56

∴ The measure of the 1st angle = 6 + 1/2(56) = 34°

* The measures of the two angles are 34° and 56°

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2 years ago

Mary was asked to find the slope of the line 3x - 4y = 12. She says the answer is 3/4

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The correct answer is D. Choose two points on the graph and count the rise and the run between them. Graph D is the only one that also has a slope of 3/4 .

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What is a trigonometric ratio

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ø=Angle theta

a= length of opposite side a

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Last week marcella earned $432. Turing that week, she worked 8 hours for 4 days and 4 hours on one day. what was Marcella's pay

Step2247 [10]

The answer is approx. 10.8 per hour.

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2 years ago

Read 2 more answers

Onna received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.09 per pound. After buying the

mario62 [17]

Answer:

She bought 5 pounds

Step-by-step explanation:

Original worth of gift card = $80

Balance on card after purchase = $39.55

Amount used for purchase = 80 - 39.55 = $40.45

Next let us determine how many pounds of coffee she bought as follows:

Price of coffee = $8.09 per pound

amount spent on coffee = $40.45

Lett the number of pounds of coffee she bought be x

$ 8.09 = 1 pound

$40.45 = x pounds

since $8.09 = 1 pound

$\$\ 1 = \frac{1}{8.09}\ pounds$

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2 years ago