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Phoenix [80]
3 years ago
10

A larger circle has a circumference of36.A smaller circle has a circumference of one third of that. Find the radius of the small

er circle (use 3 for pi)
Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

r=1.91

Step-by-step explanation:

hopefully this helps...

Using the formula

C=2πr

Solving for

r= C/2π = 12/2·π = 1.90986

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The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
Elis [28]

Answer:

84.13% probability a particular tire of this brand will last longer than 57,100 miles

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 = 60000, \sigma = 2900

What is the probability a particular tire of this brand will last longer than 57,100 miles

This is 1 subtracted by the pvalue of Z when X = 57100. So

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

Z = \frac{57100 - 60000}{2900}

Z = -1

Z = -1 has a pvalue of 0.1587

1 - 0.1587 = 0.8413

84.13% probability a particular tire of this brand will last longer than 57,100 miles

7 0
3 years ago
What is the value for x
algol [13]
Those are adjacent angles. They will equal 180 degrees since they both ly on the same straight line. Straight line= 180 degrees. 

10x-20+6x+8=180

Add 20 to both sides. 

10x+6x+8= 200

Combine like terms. 

16x=192

Divide both sides by 16. 

x=12

I hope this helps!
~kaikers
3 0
4 years ago
Read 2 more answers
If you could help out that would be great :D
Alinara [238K]

Answer:

[(x+5)²+(y+3)²]

Step-by-step explanation:

  1. length = 5 units and width = 3 units
  2. x is for length as y is for width
  3. (x+5) for length & (y+3) for width
  4. [(x+5)²+(y+3)²]
6 0
3 years ago
A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price. the customer was charged a 7%
tekilochka [14]

Answer:

19.26

Step-by-step explanation:

method 1 -

original cost - 12

sell cost - 12×1.5×1.07 =19.26 answer

method 2-

original cost - 12

sell cost increase by 50 % = 12+ 6 = 18

tax 7 % = 18×7/100 = 1.26

total cost = 18+1.26 = 19.26

4 0
4 years ago
Given the scatter plot, choose the function that best fits the data.
igor_vitrenko [27]

Answer:

f(x) = 3x2

Step-by-step explanation:

I think the given the scatter plot is missing and it is my attachment for your question.

My answer:

f(x) = 3x2,  it is a parabolic pathway. a =3 (positive) so the line is going up.

The other options are straight lines so they are wrong.

7 0
3 years ago
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