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ivolga24 [154]
2 years ago
5

Find the value of x. show your work

Mathematics
1 answer:
kompoz [17]2 years ago
4 0

Answer:

x= 41

Step-by-step explanation:

To answer this question, we know that a triangle has a total of 180 degrees. So we can add all of the angles and set them equal to 180 degrees, then solve for x.

x+(x+70)+28=180

2x+70+28=180

2x+98=180

2x=82

x= 41

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Which expresses 1050 : 2000 in decimal form
MatroZZZ [7]

Answer: 10.5 : 20.2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A new roller coaster at an amusement park requires individuals to be at least​ 4' 8" ​(56 ​inches) tall to ride. It is estimated
Maksim231197 [3]

Answer:

a) 34.46% of​ 10-year-old boys is tall enough to ride this​ coaster.

b) 78.81% of​ 10-year-old boys is tall enough to ride this​ coaster

c) 44.35% of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 54, \sigma = 5

a. What proportion of​ 10-year-old boys is tall enough to ride the​ coaster?

This is 1 subtracted by the pvalue of Z when X = 56.

So

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

Z = \frac{56 - 54}{5}

Z = 0.4

Z = 0.4 has a pvalue of 0.6554

1 - 0.6554 = 0.3446

34.46% of​ 10-year-old boys is tall enough to ride this​ coaster.

b. A smaller coaster has a height requirement of 50 inches to ride. What proportion of​ 10-year-old boys is tall enough to ride this​ coaster?

This is 1 subtracted by the pvalue of Z when X = 50.

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

Z = \frac{50 - 54}{5}

Z = -0.8

Z = -0.8 has a pvalue of 0.2119

1 - 0.2119 = 0.7881

78.81% of​ 10-year-old boys is tall enough to ride this​ coaster.

c. What proportion of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a?

Between 50 and 56 inches, which is the pvalue of Z when X = 56 subtracted by the pvalue of Z when X = 50.

From a), when X = 56, Z has a pvalue of 0.6554

From b), when X = 50, Z has a pvalue of 0.2119

0.6554 - 0.2119 = 0.4435

44.35% of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a

5 0
3 years ago
Plz help :)))))))))))))))))))
natita [175]
(2 - 7z)(2 + 7z)
= (2)^2 - (7z)^2
= 4 - 49z^2

8 0
3 years ago
BRAINLIEST ANSWER PLUS POINTS IM GOING TO BREAK MY COMPUTER PLS HELP!!! Complete the table of values then plot the ordered pairs
Anastasy [175]
First, that looks like Pearson and if it is, I'm so sorry for you.
Secondly, I think this answer is correct.

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3 years ago
-cep Leu<br>2. 3x -1 = -10​
nekit [7.7K]

Answer:

-3

Step-by-step explanation:

3x-1=-10

3x=-9

x=-3

7 0
2 years ago
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