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FromTheMoon [43]
3 years ago
14

What is the measure of the missing angle in a triangle that contains angle measures of 37° and 59°?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

Answer:84 degrees

Step-by-step explanation:

so if a triangle is 180 degrees in total you need to find how much you need to equal that so you add 59+37=96 degrees so then you will subtract 180-96=84 degrees

Your welcome!

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Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of
tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

For this problem, the parameters are given as follows:

\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{16 - 15}{0.4743}

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

Z = \frac{X - \mu}{s}

Z = \frac{15 - 15}{0.4743}

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0
2 years ago
A circle with a radius of 3cm sits inside a 8cm*7cm rectangle. What is the area of the shaded region? Round your final answer to
Elanso [62]

Answer:

27.73 cm squared

Step-by-step explanation:

In order to find the shaded region, we need to find the areas of the circle and the rectangle and then subtract the circle area from the rectangle area.

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 7 and the width is w = 8. Plug these in:

A = lw

A = 7 * 8 = 56 cm squared

The area of a circle is denoted by: A = πr², where r is the radius. Here, the radius is r = 3, so plug this in:

A = πr²

A = π * 3² = 9π ≈ 28.27 cm squared

Now subtract 28.27 from 56:

56 - 28.27 = 27.73

The answer is thus 27.73 cm squared.

7 0
3 years ago
Read 2 more answers
What is m∠PQR? please help
leva [86]

Answer:

127

Step-by-step explanation:

The angles add up to 180° since they are on a straight line. Find 3x - 5.

3x - 5 + x + 1 = 180

4x - 4 = 180

4x = 180 - 4

    = 176

x = 176 ÷ 4

x = 44

3x - 5 = 3(44) - 5

          = 132 - 5

          = 127

6 0
3 years ago
Read 2 more answers
Five more than four times a number
Tasya [4]

Answer: 4x +5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write down in terms of N and expression for the nth term of the following sequence 25 20 15 10 5
GREYUIT [131]

Answer:

30x-5

Step-by-step explanation:

25-5=20

20-5=15

-5  -10  -15  -20  -25

25  20  15   10     5

I hope that helped you

8 0
3 years ago
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