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Keith_Richards [23]
2 years ago
10

Rearrange to make x the subject

Mathematics
1 answer:
mario62 [17]2 years ago
3 0

Step-by-step explanation:

<h3>Given equation : </h3>

<h3>y = 3x - 2 / x+1</h3>

<h3>for subject x</h3>

<h3>» x = - 2 + y -3+ y</h3>
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A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer
weqwewe [10]

Answer:

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

Step-by-step explanation:

The null and alternate hypothesis are:

H0:p≥0.03

Ha:p<0.03

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.

0.03 is tested at the null hypothesis:

This means that \mu = 0.03, \sigma = \sqrt{0.03*0.97}

28 out of 600 items produced by the machine were found defective.

This means that n = 600, X = \frac{28}{600} = 0.0467

Value of the test-statistic:

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

z = \frac{0.0467 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{600}}}

z = 2.4

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.

Looking at the z-table, z = 2.4 has a p-value of 0.9918.

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

7 0
2 years ago
Please help me with this question
KonstantinChe [14]
Equation for Line
y = -1/2 x - 2
8 0
2 years ago
I need help with this.
Sedaia [141]

The two lines are parallel, no matter how long they travel they will not cross.

8 0
2 years ago
A bed &amp; bath company intends to ship out 28,457 blue blankets, and three times as many white blankets. If each box contains
Butoxors [25]

28457 x 3 = 85371 white blankets

85371 + 28457 = 113,828 total blankets

113828/55 = 2069.6 total boxes

so 2069 full boxes

and 55*.6 = 33 left over blankets

8 0
2 years ago
What is the y intercept of a line that has a slope of -3 and passes through the point (2,7)
Tom [10]
Y = mx + b
slope(m) = -3
(2,7)...x = 7 and y = 2
now we sub and fund b, the y int
2 = -3(7) + b
2 = -21 + b
2 + 21 = b
23 = b <== ur y int
5 0
3 years ago
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