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erma4kov [3.2K]
3 years ago
13

Hannah reads at a constant rate of 3 pages every 8 minutes.

Mathematics
2 answers:
abruzzese [7]3 years ago
8 0

Answer:

8p=3m

Step-by-step explanation:

Given that Hannah reads at a constant rate of 3 pages every 8 minutes

To find out the equation that shows the relationship between p, the number of pages read and m the minutes spent for reading.

Since in 8 minutes pages read =3

we get in 1 minute pages read =\frac{3}{8}

Suppose she reads for m minutes, then pages read would be

p=\frac{3m}{8}

Simplify toget

8p=3m

Verify:

Let her read for 8 minutes

Then we have 8p=3(8) =24

p = 3

This matches with given information 3 pages in 8 minutes.

Hence 8p=3m is right answer.

Sliva [168]3 years ago
8 0

<u>Answer:</u>

8p = 3m

<u>Step-by-step explanation:</u>

We know that:

The number of pages read by Hannah in 8 minute = 3 pages

So the number of pages Hannah reads in 1 minute = \frac{3}{8} pages

If the number of pages read by Hannah are equal to p  and the number of minutes are m, then:

m minutes = p pages

1 minute = \frac{p}{m} pages

Then \frac{p}{m}  = \frac{3}{8}

Therefore, the relationship between p, the number of pages she reads, and m, the number of minutes she spends reading is 8p = 3m.

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Step-by-step explanation:

Given

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If you borrow money from a bank, you pay the bank __________________ . Why?
Amiraneli [1.4K]

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3 years ago
HELPPP!! Plzzzz can’t do any more points so 10
Anestetic [448]

3. Answer: a) RT

                   b) XZ

                   c) TS


4. Answer: a) 26

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                  c) 21.5

                  d) 127

<u>Step-by-step explanation:</u>

2(PT) = AE              2(CP) = AN                 2(CT) = EN

2(13) = AE               2(29) = AN                  2(CT) = 43

  26 = AE                  58  = AN                      CT  = 21.5


Perimeter = AE + AN + EN

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4 0
3 years ago
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average i
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The valid conclusions for the manager based on the considered test is given by: Option

<h3>When do we perform one sample z-test?</h3>

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

  • Population mean = \mu = $150
  • Population standard deviation = \sigma = $30.20
  • Sample mean = \overline{x} = $160
  • Sample size = n = 40 > 30
  • Level of significance = \alpha = 2.5% = 0.025
  • We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

  • Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: H_0: \mu_0 \leq \mu = 150
  • Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically H_1: \mu_0 > \mu = 150

where \mu_0 is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

brainly.com/question/21477856

3 0
2 years ago
Read 2 more answers
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