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AlekseyPX
3 years ago
5

You just got a new job with the Biden Administration as a House Clerk working full time (40 hours a week) with

Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

No

Step-by-step explanation:

You are making alot of money but you can't pay off all of this and still have money left over

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An angle measures 48.4° less than the measure of its complementary angle. What is the measure of each angle?
Gennadij [26K]

Answer:

The angles are 69.2 degrees and 20.8 degrees

Step-by-step explanation:

Complementary angles, when added together, = 90°

We’ll call the first unknown angle a and the second angle b

b = a - 48.4

a + b = 90

So let’s substitute in for b in the second equation:

a + a - 48.4 = 90

2a - 48.4 = 90

2a = 138.4

a = 69.2

69.2 - 48.4 = 20.8 = b

Now, does a + b = 90?

69.2 + 20.8 = 90

Lmk if you have questions

3 0
2 years ago
20% of 80 = 40% of ________ ?​
iren2701 [21]

Answer: 160

Step-by-step explanation:

4 0
3 years ago
BRAINLIEST!!PLEASE HELP ME
kupik [55]
A.) The temperature rises 10 degrees over 3 hours.
(To explain my reasoning is because at 0 hours the temperature was 30 then at 3 hours the temperature moved up to 40 and at 6 the temperature moved to 50 which means every 3 hours its moving up 10 degrees)
4 0
2 years ago
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Suppose the test scores for a college entrance exam are normally distributed with a mean of 450 and a s. d. of 100. a. What is t
svet-max [94.6K]

Answer:

a) 68.26% probability that a student scores between 350 and 550

b) A score of 638(or higher).

c) The 60th percentile of test scores is 475.3.

d) The middle 30% of the test scores is between 411.5 and 488.5.

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 = 450, \sigma = 100

a. What is the probability that a student scores between 350 and 550?

This is the pvalue of Z when X = 550 subtracted by the pvalue of Z when X = 350. So

X = 550

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

Z = \frac{550 - 450}{100}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 350

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

Z = \frac{350 - 450}{100}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a student scores between 350 and 550

b. If the upper 3% scholarship, what score must a student receive to get a scholarship?

100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So it is X when Z = 1.88

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

1.88 = \frac{X - 450}{100}

X - 450 = 1.88*100

X = 638

A score of 638(or higher).

c. Find the 60th percentile of the test scores.

X when Z has a pvalue of 0.60. So it is X when Z = 0.253

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

0.253 = \frac{X - 450}{100}

X - 450 = 0.253*100

X = 475.3

The 60th percentile of test scores is 475.3.

d. Find the middle 30% of the test scores.

50 - (30/2) = 35th percentile

50 + (30/2) = 65th percentile.

35th percentile:

X when Z has a pvalue of 0.35. So X when Z = -0.385.

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

-0.385 = \frac{X - 450}{100}

X - 450 = -0.385*100

X = 411.5

65th percentile:

X when Z has a pvalue of 0.35. So X when Z = 0.385.

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

0.385 = \frac{X - 450}{100}

X - 450 = 0.385*100

X = 488.5

The middle 30% of the test scores is between 411.5 and 488.5.

7 0
3 years ago
Someone please help me will give BRAILIEST!!!!!!
rewona [7]
The answer is true plz thnk me
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3 years ago
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