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Nata [24]
3 years ago
11

If frank has 24 pennies 62 nickles 55 dimes 16 quarters and 19 fifty cent pieces how much money does he have

Mathematics
2 answers:
Nitella [24]3 years ago
8 0

Answer:

Frank has $22.34.

Step-by-step explanation:

24 pennies - 0.01 x 24 = 0.24

62 nickels - 0.05 x 62 = 3.10

55 dimes - 0.10 x 55 = 5.50

16 quarters - 0.25 x 16 = 4.00

19 half dollar (50cent) - 0.50 x 19 = 9.50

0.24 + 3.10 + 5.50 + 4.00 + 9.50 = 22.34

Eddi Din [679]3 years ago
4 0

Answer:

$22.34

Step-by-step explanation:

First we convert all the money to dollars.

1 penny = 0.01 dollar

24 pennies = 0.24 dollar

1 nickle = 0.05 dollar

62 nickles = 3.10 dollars

1 dime = 0.10 dollar

55 dimes = 5.50 dollars

1 quarter = 0.25 dollars

16 quarter = 4.00 dollars

1 fifty cent = 0.50 dollars

19 fifty cent pieces = 9.50 dollars

Total money = $0.24 + $3.10 + $5.50 + $4.00 + $9.50

                    = $22.34

He have $22.34.

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  1. For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
  2. The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
  3. Based on this, we should <u>fail to reject</u> the null hypothesis.
  4. Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

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