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xxMikexx [17]
3 years ago
7

A car and a scooter are moving in opposite directions and cross each other at a common point. if the average speed of the car is

50 miles per hour and that of the scooter is 40 miles per hour,after how many hours will they be 180 miles apart?
Mathematics
1 answer:
Tema [17]3 years ago
6 0
As they are traveling in opposite directions you need to do 50 + 40 to find out how far apart they travel every hour. 50 + 40 = 90. So you know that they are 90 miles apart every hour.
180 / 90 = 2. so you know that it takes them 2 hours to be 180 miles apart.
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Mashutka [201]
First you would do 3-9 which is -6 then -4-1 which is -5 then since the parenthesis are close to each other you would multiply and you should get

30 
6 0
3 years ago
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9 is what percent of 25 in percentage form
Paladinen [302]
9/25=
25*4=100 so,9*4=36
9/25=36%
8 0
3 years ago
A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno
Reika [66]

Answer:

The 90th percentile of the distribution is 6.512 ml.

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.

Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.

This means that \mu = 6, \sigma = 0.4

Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.

This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then

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

1.28 = \frac{X - 6}{0.4}

X - 6 = 1.28*0.4

X = 6.512

The 90th percentile of the distribution is 6.512 ml.

3 0
3 years ago
Solve: x - 5 = 12 A) 7 B) 16 C) 17 D) 18
postnew [5]

Answer:

The answer is option c) 17

Step-by-step explanation:

x - 5 = 12

x = 12 + 5

x = 17

The answer is c) 17

3 0
2 years ago
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An automobile manufacturer claims that its jeep has a 53.9 miles/gallon (MPG) rating. An independent testing firm has been contr
Advocard [28]

Answer:

Value of the test statistic, z_{test}  = - 1.17

Step-by-step explanation:

Null hypothesis, H_{0}: \mu = 53.9

Alternative hypothesis, H_{a} : \mu \neq 53.9

Sample mean, \bar{X} = 53.7

Sample size, n = 110

Standard deviation, \sigma = 1.8

Significance level, \alpha = 0.02

The value of the test statistics is given by the formula:

z_{test}  = \frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt{n} } } \\z_{test}  = \frac{53.7 - 53.9}{\frac{1.8}{\sqrt{110} } } \\z_{test}  = - 1.17

7 0
3 years ago
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