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pochemuha
2 years ago
13

Zachary weighs 37 kilograms 95 grams. Gabe weighs 4,650 grams less than Zachary. Harry weighs 2,905 grams less than Gabe. How mu

ch does Harry weigh?
Mathematics
1 answer:
Archy [21]2 years ago
5 0
First make the numbers the same.
37 kilograms is 37000 grams, for there are 1000 grams in a kilograms.
Zachary weighs 37095 grams
37095-4650= Gabes weight = 32445 grams
32445-2905= Harry's weight = 29540 grams or 29,54 kilograms
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A baker uses 13 1/2 cups of flour to make bread. She uses 2 1/4 cups of flour to make each loaf. The baker sells 2/3 of the loav
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Answer:

She sells 4 loaves of bread

Step-by-step explanation:

Lets explain how to solve the problem

→ A baker uses 13\frac{1}{2} cups of flour to make bread

→ She uses 2\frac{1}{4} cups of flour to make each loaf

From these information we can find the number of loaves of bread

she can make

∵ There are 13\frac{1}{2} cups of flour

∵ Each loaf of bread needs 2\frac{1}{4} cups of flour

∴ The number of loaves = 13\frac{1}{2} ÷ 2\frac{1}{4}

To divide two mixed numbers make them improper fractions and

change the division sign to multiplication sign and reciprocal the

fraction after the division sign

∵ 13\frac{1}{2} = \frac{(13)(2)+1}{2}

∴ 13\frac{1}{2} = \frac{27}{2}

∵ 2\frac{1}{4} = \frac{(2)(4)+1}{4}

∴ 2\frac{1}{4} = \frac{9}{4}

∴ The number of loaves = \frac{27}{2} × \frac{4}{9}

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<em>She can make 6 loaves</em>

→ The baker sells \frac{2}{3} of the loaves of bread that she makes

→ We need to find the number of loves of bread she sells

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2 years ago
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Answer:

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Step-by-step explanation:

A two-sample <em>z</em>-test can be performed to determine whether the claim made by the owner of pier 1 is correct or not.

It is provided that the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations.

The hypothesis to test whether the average weights of the fish in pier 1 is more than pier 2 is as follows:

<em>H₀</em>: The weights of fish in pier 1 is same as the weights of fish in pier 2, i.e. <em>μ</em>₁ = <em>μ</em>₂.

<em>Hₐ</em>: The weights of fish in pier 1 is greater than the weights of fish in pier 2, i.e. <em>μ</em>₁ > <em>μ</em>₂.

The significance level of the test is:

<em>α</em> = 0.05.

The test is defined as:

z=\frac{(\bar x_{1}-\bar x_{2})-(\mu_{1}-\mu_{2})}{\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}+\frac{\sigma_{2}^{2}}{n_{2}}}}

The decision rule for the test is:

If the <em>p</em>-value of the test is less than the significance level of 0.05 then the null hypothesis will be rejected and vice-versa.

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Step-by-step explanation:

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