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Lelechka [254]
3 years ago
13

Help this is extremely confusing

Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

With UW extended to point X, then

∠VWX is an external angle of the triangle.

The external angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

∠VWX = ∠WUV + ∠UVX ← substitute values

6x - 19 = 3x + 3 + x - 2, that is

6x - 19 = 4x + 1 (subtract 4x from both sides )

2x - 19 = 1 ( add 19 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

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Circle D is shown with the measure of the minor arcs which segment are congruent
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5 0
3 years ago
(Refer to the attached image)​
DENIUS [597]
<h3>Answer:  9 meters</h3>

===========================================

Work Shown:

  • side a = 8
  • side b = 5
  • angle C = 88 degrees

Applying the law of cosines

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 8^2 + 5^2 - 2*8*5*cos(88)

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c = sqrt(86.2080403)

c = 9.2848285

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5 0
1 year ago
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
In the expression 10^5, what is the Base Number? What is the Exponential Number?
Flauer [41]

Answer:

10 is the base number, and 5 is the exponent

Step-by-step explanation:

5 0
3 years ago
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