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3 years ago

Find the unit rate. 180 miles in 3 hours

Mathematics

1 answer:

leva [86]3 years ago

3 0

Answer:

60 miles per hour

Step-by-step explanation:

First, put the equation in a fraction.

You would put 180 up top because people always say miles per hour not the other way around.

You can see the dividing line as your "per" and your "hour" would be the bottom number.

To find the unit rate, you will divide the numerator (180) and the denominator (3).

Your final answer should be 60 miles per hour.

$\frac{180}{3} = \frac{60}{1}= 60$

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The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are

USPshnik [31]

The appropriate hypothesis which is used to test the dropout rate are $H_{0}:p > =0.081\\$ and $H_{1}: p < 0.081$ .

Given Drop out rate through 24 year old who are not enrolled is 8.1%, sample size=1000 and we have to find the hypothesis to test the drop out rate of the school.

The variable which needs to be studied is X=Number of individuals with age between 16 and 24 years old that are high school dropouts.

The parameter of interest is the proportion to high school drop outs is p.

Sample proportion= $p^{1}$ =0.065

The hypothesis can be formed as under:

$H_{0}:p > =0.081$ (null hypothesis)

$H_{1}:p < 0.081$ ( alternate hypothesis)

Null hypothesis is a hypothesis which is tested for its validity and alternate hypothesis is hypothesis which is opposite of null hypothesis means if null hypothesis is rejected then the alternate hypothesis will be true.

$Z_{H_{0} }=(p^{1}-p)/\sqrt{p*(1-p)/n}$

= $0.065-0.081/\sqrt{(0.081*0.0919)/1000}$

=-1.85

Hence the appropriate hypothesis are $H_{0}:p > =0.081$ and $H_{1}:p < 0.081$ .

Learn more about hypothesis at brainly.com/question/11555274

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2 years ago

Ava is thinking of a four-digit number described below.

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3 years ago

Read 2 more answers

Beverly's average mark for nine examination papers was 89.5. How many marks did she score altogether?

SVETLANKA909090 [29]

Answer:

805.5 out of 900

Step-by-step explanation:

A test is out of 100 and because there are 9 tests: 9 x 100 which equals 900.

To get the average we add up each test mark and divide by the number of tests. The same can be applied here but reversed. So because there were 9 tests we can multiply 89.5 by 9 which gives us 805.5. Beverly scored 805.5 marks out of 900 which makes her average 89.5% for 9 tests.

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2 years ago

Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10

melisa1 [442]

Answer:

Step-by-step explanation:

Given:

27 + 2/3 ÷ 3 + 9/10

In division, compatible numbers are numbers that can be divided mentally.

27 + 2/3 ÷ 3 + 9/10

27 + 0.67 ÷ 3 + 0.9

27.67 ÷ 3.9

= 7.0948717948717

Approximately

= 7

But, alternatively

27.67 ÷ 3.9

27.67 is closer to 28

3.9 is closer to 4

Therefore,

28 ÷ 4

= 7

The quotient of 27 + 2/3 ÷ 3 + 9/10 using compatible numbers is around 7

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