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Allisa [31]
3 years ago
6

Seira has 11.5 yards of yarn. She uses a certain amount for a project, leaving 5.25 yards of yarn. The equation (11.5-x=5.25) re

presents this situation, where x is the amount of yarn Siera used for her project. How mug yarn did Sierra use for her project?
Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0

Answer:

6.25 yards of yarn were used

Step-by-step explanation:

11.5 yards of yarn - 5.25 yards of yarn remaining = 6.25 yards of yarn that was used in the project.

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About 16.5% if you were 100kg on earth you would be 16.5kg on the moon
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3 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is
Volgvan

Answer:

Null Hypothesis, H_0 : \mu \geq 430 gram   {means that the machine is not under filling the bags}

Alternate Hypothesis, H_A : \mu < 430 gram   {means that the machine is under filling the bags}

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting.

It is believed that the machine is under filling the bags. A 21 bag sample had a mean of 429 grams with a variance of 289.

<u><em>Let </em></u>\mu<u><em> = mean weight bag filling capacity of machine.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq 430 gram   {means that the machine is not under filling the bags}

Alternate Hypothesis, H_A : \mu < 430 gram   {means that the machine is under filling the bags}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean = 429 grams

             s = sample standard deviation = \sqrt{289} = 17 grams

             n = sample of bags = 21

So, <u><em>test statistics</em></u>  =  \frac{429-430}{\frac{17}{\sqrt{21} } }  ~ t_2_0   

                               =  -0.269

<em>Now at 0.01 significance level, the t table gives </em><u><em>critical value of -2.528 at 20 degree of freedom</em></u><em> for left-tailed test. Since our test statistics is higher than the critical value of t as -0.269 > -2.528, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><u><em>we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the machine is not under filling the bags.

3 0
3 years ago
Which lists the fractions Four-sevenths, Five-ninths, and in order from least to greatest?
Vladimir [108]

Answer:

Solution given:

the fractions Four-sevenths=4/7≈0.57

the fractions Five-ninths=5/9≈0.55

Since 0.55 is less than 0.57

<u>least=the fractions Five-ninths</u>

<u>greatest=the fractions Four-sevenths</u>

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If \\(z_1=3+2i\\) and \\(z_2=4+3i\\) and are complex numbers, find \\(z_1z_2\\)
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Answer:

df

Step-by-step explanation:

ff

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Place the steps for finding f(x) in the correct order.
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The answer is C
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