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lorasvet [3.4K]
3 years ago
14

Find the circumference of the circle with the given radius or diameter. (Use 3.14 for it) r=20

Mathematics
2 answers:
Margarita [4]3 years ago
6 0

Answer:

\huge\boxed{C\approx125.6}

Step-by-step explanation:

The formula of a circumference of a circle:

C=d\pi=2\pi r

<em>d</em><em> - diameter</em>

<em>r</em><em> - radius</em>

We have the radius <em>r = 20</em>.

Substitute:

C=2\pi(20)=40\pi

use π ≈ 3.14

C\approx(40)(3.14)=125.6

iogann1982 [59]3 years ago
4 0

Answer:

C = 2πr = 2 * 3.14 * 20 = 125.6

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In trapezoid ABCD, find m∠A if m∠B= 25°, m∠C = 155° and m∠ D= 117°.
telo118 [61]
Hello there! A trapezoid is a quadrilateral, and the angles of a quadrilateral have a sum of 360°. We don't know the angle measurement for A, so let's start off by adding the measurements of the other angles together. 117 + 155 + 25 is 297. Now, we subtract that number from 360 to find the angle measurement. 360 - 297 is 63. There. The measurement of angle A is 63°.
6 0
3 years 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
A 5-digit combination lock with digits 0-9 can be opened only if a correct combination of digits is chosen. Find the probability
sammy [17]

The total number of combinations without restrictions is

10 * 10 * 10 * 10 * 10 = 100000

Problem A

10 * 9 * 8 * 7 * 6  = 30240

the number of ways the combination can be set up with no repetition.

The probability of such an event is P = 30240 / 100000 = 0.3024

Problem B

The number of ways that can be done with repetition and no zeros is

9 * 9 * 9 * 9 * 9 = 59049

The probability of such an event is

P = 59049 / 100000 = 0.59049

7 0
3 years ago
Read 2 more answers
All of the following proportions are equivalent except
shtirl [24]
All are equal except A/D = C/B

I replaced the values with numbers
a=5 b=10 c=50 d=100

10/5=100/50 so it’s not b/a = d/c
5/10=50/100 so it’s not a/b = c/d
5/50 = 10/100 so it’s not a/c = b/d
5/100 is NOT 50/10 so it’s NOT a/d = c/b
8 0
3 years ago
I need help with these problems please and thank you
AURORKA [14]

Answer:

Refractive index of a medium depends upon the refractive index of the surroundings

7 0
2 years ago
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