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N76 [4]
3 years ago
15

On Monday, Ken spent half of his money on a new game. The next day he earned $12 mowing lawns. He now has $32. How much money di

d Ken have before he bought the game?
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

He had $20 before he bought the game, you can use subtraction to find out how much Ken had

$32 - $12 = $20

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Answer:

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Step-by-step explanation:

Because it says simple interest, use the formula I = Prt.

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3 years ago
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is
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Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

H_{0}: \mu = 434

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

H_{a}: \mu < 434

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that \mu = 434

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This means that X = 431, n = 9, \sigma = \sqrt{144} = 12

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}

z = -0.75

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

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each person will get 9

Step-by-step explanation:

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