Ask question

Ask question

All categories

2 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

1 answer:

cupoosta [38]2 years ago

3 0

Answer is c
60•3=180
180/2.5= 72 I think

You might be interested in

Write the expressions "Four times the difference of a number and 7 is 32", "One third of a number is 12 less than the number its

Anna71 [15]

<u>Part 1)</u> "Four times the difference of a number and $7$ is $32$ "

Let

x--------> the number

we know that

the expressions is equal to

$4(x-7)=32$

therefore

<u>the answer part 1) is</u>

$4(x-7)=32$

<u>Part 2)</u> "One third of a number is $12$ less than the number itself"

Let

x--------> the number

we know that

the expressions is equal to

$\frac{1}{3} x=(x-12 )$

therefore

<u>the answer part 2) is</u>

$\frac{1}{3} x=(x-12 )$

<u>Part 3)</u> "Ten increased by the quotient of a number and $2$ is $-15$ "

Let

x---------> the number

we know that

the expressions is equal to

$10+ (\frac{x}{2} )= -15$

therefore

<u>the answer Part 3) is</u>

$10+ (\frac{x}{2} )= -15$

<u>Part 4)</u> "One less than the product of a number and $3$ is $5$ more than the number itself"

Let

x---------> the number

we know that

the expressions is equal to

$(3x)-1=5+x$

therefore

<u>the answer Part 4) is</u>

$(3x)-1=5+x$

3 0

3 years ago

Read 2 more answers

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean of 1262 and a s

Andrew [12]

Answer:

a) 1186

b) Between 1031 and 1493.

c) 160

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean of 1262 and a standard deviation of 118.

This means that $\mu = 1262, \sigma = 118$

a) Determine the 26th percentile for the number of chocolate chips in a bag. 

This is X when Z has a p-value of 0.26, so X when Z = -0.643.

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

$-0.643 = \frac{X - 1262}{118}$

$X - 1262 = -0.643*118$

$X = 1186$

(b) Determine the number of chocolate chips in a bag that make up the middle 95% of bags.

Between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile.

2.5th percentile:

X when Z has a p-value of 0.025, so X when Z = -1.96.

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

$-1.96 = \frac{X - 1262}{118}$

$X - 1262 = -1.96*118$

$X = 1031$

97.5th percentile:

X when Z has a p-value of 0.975, so X when Z = 1.96.

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

$1.96 = \frac{X - 1262}{118}$

$X - 1262 = 1.96*118$

$X = 1493$

Between 1031 and 1493.

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?

Difference between the 75th percentile and the 25th percentile.

25th percentile:

X when Z has a p-value of 0.25, so X when Z = -0.675.

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

$-0.675 = \frac{X - 1262}{118}$

$X - 1262 = -0.675*118$

$X = 1182$

75th percentile:

X when Z has a p-value of 0.75, so X when Z = 0.675.

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

$0.675 = \frac{X - 1262}{118}$

$X - 1262 = 0.675*118$

$X = 1342$

IQR:

1342 - 1182 = 160

7 0

3 years ago

A coupon book has a coupon for 40% off of a lift ticket at Mt. Woodstock. A lift ticket usually costs $70. How much would a skie

Mrac [35]

Answer:

The Skier would save $28 dollars

Step-by-step explanation:

The answer is 28 because 40% of 70 is 28.

Hope this helps! :)

4 0

3 years ago

Read 2 more answers

Can you simplify the fraction 4/-3 any more

Svetllana [295]

Answer:

No

Step-by-step explanation:

you can't simplify it anymore no matter how low of a number you simplify it by

6 0

3 years ago

Read 2 more answers

Gloria scored 75, 76, and 77 on the first three math tests. What score does she need on test #4 so that the mean of her scores w

skelet666 [1.2K]

Answer:

77%

Step-by-step explanation:

(75+76+77+80) / 4 = 77

5 0

3 years ago