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lidiya [134]
3 years ago
12

PLEASEEE HELP! 3/8x+y=3 find the intercept and sketch the line.

Mathematics
1 answer:
just olya [345]3 years ago
8 0
X-intercept is 8
Y-intercept is 3
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A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than
vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

H_0: p \leq 0.05

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

H_a: p > 0.05

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.

0.05 is tested at the null hypothesis:

This means that \mu = 0.05, \sigma = \sqrt{0.05*0.95}

A random sample of 300 items taken from the production line contained 27 defective items.

This means that n = 300, X = \frac{27}{300} = 0.09

Value of the test statistic:

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

z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}

z = 3.18

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0
3 years ago
Write and equation given slope and a point. <br> M= -1 and (-2,3)
ArbitrLikvidat [17]

Step-by-step explanation:

y - 3 = -1(x- -2)

y-3 = -x -2

Y = -x +1

3 0
3 years ago
Find the surface area S of the following cylinder.
Tanya [424]

Answer:

384π

Step-by-step explanation:

From the diagram,

Diameter ( d ) = 16

Height ( h ) = 16

To find : Surface area of Cylinder = ?

Radius ( r ) = ?

Formula : -

r = d / 2

r = 16 / 2

r = 8

Formula : -

Surface area of Cylinder = 2πr ( r + h )

Surface area of Cylinder = 2πr ( r + h )

= 2π x 8 ( 8 + 16 )

= 16π x 24

Surface area of Cylinder = 384π

4 0
3 years ago
How many degrees does the polynomial 6c9 have
spayn [35]

Answer:

None, there are no degrees/exponents

Step-by-step explanation:

Hope this is helpful :)

6 0
3 years ago
Read 2 more answers
If you answered 17 out of 25 questions correct on a quiz, what would your grade be as a percent?​
k0ka [10]

Answer:

68%

Explanation:

17/25 = 0.68

5 0
3 years ago
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