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Ghella [55]
3 years ago
6

Jenn swam ⅕ mile in ¼ hour. What is her unit rate in miles per hour?

Mathematics
2 answers:
Paladinen [302]3 years ago
4 0

Answer:

1/2 mile/1/5 hour = 5/2 mph = 2 1/2 mph

Step-by-step explanation:

raketka [301]3 years ago
4 0

Answer:

0.80mph

Step-by-step explanation:

If 1/5 = 1/4, then:

she swims 1/5 miles for every 1/4 (fourth) of an hour

per hour means 1 hour

we must covert 1/4 to 4/4 (one mile)

1/4 × 4/1 = 4/4

if we multiply by 4/1 to get to 4/4, then we must also multiply by 4/1 for 1/5 miles

1/5 × 4/1 = 4/5

Her unit rate in miles per hour is 4/5 per 1 miles, or 0.80mph

*0.80 = 4/5 because 4 × 20 = 80 and 5 × 20 = 100; 80/100 = 0.80*

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There are 84 boys in the 6th grade class. If boys make up 30% of the 6th graders, how many students are in this whole 6th grade
koban [17]
<h3>Answer:  280</h3>

Work Shown:

x = number of students in the 6th grade class

30% = 30/100 = 0.30

30% of x = 0.30x this is equal to 84 since "30% of the 6th graders are boys (and there are 84 boys in sixth grade)", so we say 0.30x = 84

Divide both sides by 0.30 to isolate x

0.30x = 84

0.30x/0.30 = 84/0.30

x = 280

So there are 280 students overall in the 6th grade class.

7 0
3 years ago
Read 2 more answers
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var
Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

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

By the Central Limit Theorem

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

Z = \frac{3765 - 3639}{59.5}

Z = 2.12

Z = 2.12 has a pvalue of 0.983

X = 3513

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

Z = \frac{3513 - 3639}{59.5}

Z = -2.12

Z = -2.12 has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

3 0
3 years ago
A rectangle with a width of 3 units and a length of x +5
Luden [163]

Answer:

The area is 45 units squared

Step-by-step explanation:

If the rectangle's width is 3 units, and the length is 5 times then:

5 x 3 = 15

So the length is 15 units

The area is length times width

15 x 3 = 45

The area is 45 units squared

7 0
3 years ago
C) 0.090909
Natasha_Volkova [10]

Answer:

I think its D

Step-by-step explanation:

3 0
2 years ago
Please help :) is it linear, if so model the data with and equation.
Yuki888 [10]

Answer:

The relationship is linear: y -5 = 2 (x+7)

Step-by-step explanation:

While the difference between -7 and -5 / -5 and -3 / -3 and -1 is always 2 teh difference between 5 and 9 / 9 and 13 / 13 and 17 is always 4.

y-5 = -1/2 (x +7)

for x= -7 and y = 5 this is true

for x=-5 and y = 9 this is not true

y + 7 = 1/2 (x-5)

for x= -7 and y = 5 this is not true

y -5 = 2 (x+7)

for x= -7 and y = 5 this is true

for x = -5 and y = 9 this is true

for x = -3 and y = 13 this is true

for x = -1 and y = 17 this is true

8 0
3 years ago
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