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2 years ago

11

A triangle has angle measures of 104 and 22 what is the measure of the third angle?

1 answer:

OverLord2011 [107]2 years ago

8 0

Answer:

54 degrees.

Step-by-step explanation:

All triangles equal 180 degrees. So, 180 minus 104 minus 22 equals 54. Since you can add 54, 104, and 22 together to get 180, that means that is the correct answer.

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An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the

NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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 problem, we have that:

$\mu = 71.9, \sigma = 7.8$

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

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

$-0.995 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -0.995*7.8$

$X = 64$

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

$-1.28 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -1.28*7.8$

$X = 62$

Grades between 62 and 64 result in a D grade.

6 0

2 years ago

NO LINKS!!!<br><br>QRSTU ~ FGCDE. Find FG, CD, and EF.

arsen [322]

Answer:

See below ~

Step-by-step explanation:

Given :

<u>QRSTU ~ FGCDE</u>

Finding the scale factor :

Take two corresponding sides in proportion
RS : GC
40 : 12
<u>10 : 3</u>

Applying the scale factor to find the missing sides :

- FG :

QR : FG = 10 : 3
30/FG = 10/3
FG = 30/10 x 3
FG = 3 x 3
<u>FG = 9</u>

- CD :

ST : CD = 10 : 3
40/CD = 10/3
CD = 40/10 x 3
CD = 4 x 3
<u>CD = 12</u>

- EF :

UQ : EF = 10 : 3
30/EF = 10/3
EF = 30/10 x 3
EF = 3 x 3
<u>EF = 9</u>

4 0

1 year ago

Read 2 more answers

Find the slope of the line containing the pair of points. (7,4) and (6,-9)

lesya [120]

Answer:

13

Step-by-step explanation:

We can use the slope formula to find the slope

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

= ( -9-4)/(6-7)

= -13/-1

= 13

3 0

1 year ago

Read 2 more answers

Identify the problem with the following study. An internet poll on a website asks people to indicate whether or not they have a

ratelena [41]

Answer:

B. VOLUNTARY RESPONSE

Step-by-step explanation:

3 0

2 years ago

A scale drawing of a kitchen is shown below. (4in by 5in) The scale is 1:20. Show your work to determine the area of the room in

valkas [14]

The answer is 800 square feet. Hope this was helpful!

5 0

2 years ago