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ryzh [129]
3 years ago
8

PLEASE ANSWER. QUESTION ABOUT GRAPHS.

Mathematics
1 answer:
Sav [38]3 years ago
5 0
A)
160c / 20m
1c / (20/160)m
therefore, he takes 1/8 minutes to burn 1 calorie

b)

m = rise/run = 20/160 = 1/8

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1/4 because there are 8 letters in vacation and two a’s meaning it’s a 2/8 chance simplify that to 1/4 (25%)
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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 131131 millimete
matrenka [14]

Correct question:

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 131 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31" steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 1.9 millimeters? Round your answer to four decimal places.

Answer:

0.1310

Step-by-step explanation:

Given:

Sample size, n = 31

mean, u = 131

standard deviation, \sigma = 7

X - u = 1.9

If a random sample of 31 steel bolts is selected, the probability that the sample mean would differ from the population mean by more than 1.9 millimeter, would be determined by:

Z = \frac{X-u}{\frac{\sigma}{\sqrt{n}}}

Z = \frac{1.9}{\frac{7}{\sqrt{31}}}

Z = 1.51

Probability =

P(|Z| > 1.51) =

P(Z < -1.51) + P(Z > 1.51)

= P(Z < -1.51) + 1 - P(Z > 1.51)

Using the standard normal table:

= NORMDIST(-1.51) = 0.0655;

NORMDIST(1.51) = 0.9345

Thus,

P = 0.0655 + 1 - 0.9345

= 0.1310

4 0
3 years ago
X = 8<br> x = 9<br> x = 14<br> x = 15
jek_recluse [69]

Answer:

x = 8

Step-by-step explanation:

The angles 75° and (5x + 35)° are vertical angles and congruent, thus

5x + 35 = 75 ( subtract 35 from both sides )

5x = 40 ( divide both sides by 5 )

x = 8

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How many complete rotations does the minute hand of a clock make as it moves from 12:00 noon to 4:00 p.m.?
Elenna [48]

Answer:

4\ rotations

Step-by-step explanation:

we know that

The minute hand of a clock will make one rotation in one hour

12:00 noon to 4:00 p.m is equal to 4\ hours

so

by proportion

Find how many rotations will make in 4 hours


\frac{1}{1} \frac{rotation}{hour}=\frac{x}{4} \frac{rotation}{hours} \\ \\ x=4\ rotations

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