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user100 [1]
2 years ago
13

For what value of x is line a parallel to line b? Enter your answer in the box. X =​____

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

Step-by-step explanation:

115 = 5x + 15

115 - 15 = 5x

100 = 5x

20 = x

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A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines
storchak [24]

Answer:

The null hypothesis is H_o: \mu = 4.

The alternate hypothesis is H_a: \mu \neq 4

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

H_o: \mu = 4

At the alternate hypothesis we test if it is different. So

H_a: \mu \neq 4

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.

4 is tested at the null hypothesis:

This means that \mu = 4

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that n = 196, X = 4.14

He knows that the population standard deviation is 0.83 cm.

This means that \sigma = 0.83

Value of the test statistic:

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

z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}

z = 2.36

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

5 0
2 years ago
How to find what numbers a number is divisible by
nevsk [136]
If the number ends with an even number or a number that is always divisible by 2. Or every number that ends with 5 or zero is always divisible by 5 too. Bdause for example in a fraction we do 10/5 and it will be equal to 2/1 or 2. Hope it helped you!
7 0
3 years ago
You make a scale drawing of a tree using the scale 5 in. = 27 ft. if the tree is 67.5 ft. tall, how tall is the scale drawing?
evablogger [386]
You would get the equivalent amount to 5in = ?ft then divide that by 67.5
8 0
3 years ago
Enter the values to complete the statement. To determine whether (−1,4) (−1,4) is a solution to the equation 3x+8y=29 3x+8y=29 ,
aivan3 [116]
<span>To determine whether (−1,4) is a solution to the equation 3x+8y=29, substitute  ...-1... for x and ...4... and for y.


In a pair of values like (-1, 4), the first coordinate, or entry, occupied by -1 always represents x.

Similarly, the second coordinate occupied by 4 represents y.


Answer: </span>substitute  ...-1... for x and ...4... and for y.
8 0
3 years ago
A=1/2h(a+b) solve for b
vovangra [49]

Answer:

b=2A/h-a

Step-by-step explanation:

A=1/2h(a+b)

a+b=A/(1/2h)

a+b=A/(h/2)

a+b=(A/1)(2/h)

a+b=2A/h

b=2A/h-a

3 0
3 years ago
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