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ser-zykov [4K]
3 years ago
14

On a trip to Waco, Texas, Steve drove at a constant rate of 60 miles per hour for 3 hours. Steve’s brother makes the same trip i

n 2.5 hours. About how fast does Steve’s brother drive on this trip ?
A. 67 miles per hour
B. 72 miles per hour
C. 75 miles per hour
D. 50 miles per hour

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0
Answer is c
60•3=180
180/2.5= 72 I think
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The pair (-1, 1) is a solution to the equation 2y - 3x = 5. Find another (x, y) pair that is a
morpeh [17]

Answer: (1,4)

Step-by-step explanation:

Given

Equation of line is 2y-3x=5

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Take x=1 and substitute it in the above equation

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6 0
3 years ago
Which represents the solution set of the inequality 15y-9<36?
hram777 [196]
1) Add 9 to both sides
2) You get 15y<45
3) Divide by 15 on both sides
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Remember that < is less than and > is greater than
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4 0
3 years ago
A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0
3 years ago
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velikii [3]

Answer:

266\frac{2}{3}

Step-by-step explanation:

if a 45 minute workout is 1000 calories, at the same rate, a 12 minute workout would be 266 calories and 2 thirds. \frac{12}{45} x 1000 = 266\frac{2}{3}

7 0
2 years ago
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Slav-nsk [51]

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8 0
3 years ago
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