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morpeh [17]
3 years ago
10

Michael has a recipe that requires 3/4 cup of flour,and he wants to make 1/2 the recipe. How much flour does he need?

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

Answer:

Michael will use 3/8 cup of flour.

Step-by-step explanation:

Half of a Fraction:

1.  Reduce fraction to its lowest terms.

2.  If the numerator is an even number than divide the numerator by 2.

Example:  4/5 divided in half would be 2/5.

3.  If the numerator is an odd number than multiply the denominator by 2.

Example:  1/3 divided in half would be 1/6.

3/4 cup of flour divided in half would be 3/8 because the numerator 3 is an odd number so the denominator of 4 would be multiplied by 2 equaling 8.

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Answer:

6/25

Step-by-step explanation:

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3 years ago
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An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state ins
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Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:

H_0: p \geq 0.85

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:

H_0: p < 0.85

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812

Hence the test statistic is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}

z = -1.68

<h3>What is the p-value and the conclusion</h3>

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.

Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

4 0
1 year ago
A cylindrical soup can has a radius of 1.8 in. and is 6.7 in. tall. Find the volume of the can.
avanturin [10]
<h3><u><em>I</em></u><u><em>nitial considerations</em></u></h3>
  • <em>radius = 1.8 in</em>
  • <em>tall = 6.7 in</em>
  • <em>Volume?</em>

<h3><u><em>Resolution</em></u></h3>

<em>Volume = base area x tall</em>

<em>base area = π x (1.8in)²</em>

<em>base area = 10.179 in²</em>

<em>Volume = 10.179 in² x 6.7 in</em>

<em>Volume = 68.198 in³</em>

<h3 /><h3><em><u>Answer</u></em></h3>

<em>the volume is 68.198 in³</em>

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3 years ago
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Line ABC is a straight line. Line A B is a straight line. Line B comes out of the line to form angles 1 and 2. Which describes t
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Answer:

the answer is b fam

Step-by-step explanation:

7 0
3 years ago
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