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pantera1 [17]
3 years ago
11

I need help please!

Mathematics
1 answer:
Effectus [21]3 years ago
4 0

Answer:

-x^2 + 6x - 19

Step-by-step explanation:

2x^2 + 5x - 10 -(3x^2 - x + 9)

=2x^2 + 5x - 10 -3x^2 + x - 9

=-x^2 + 6x - 19

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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
-2/3x = -1. What’s the answer?
Morgarella [4.7K]
The main Answer is X=3/2
Incase you need it in decimal point it’s X=1.5 and Mixed number form it’s X=1 1/2
7 0
2 years ago
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Kathleen had a bag of candy-coated chocolates. Of the 55 candies in the bag, 20% were red, 30% were orange, 30% were green, and
Marysya12 [62]
So 20% is 1/5 and 1/5 of 55 is 11. That means there are in total 11 blue candies if 1/5 of them is damaged then technically 2.2 of them are which is kinda weird as it doesn't give whole number
4 0
3 years ago
Read 2 more answers
For the following arithmetic sequence, if a_1=21 and d= -3 what is a_1000 ?
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-2976  use formula a_1 + (n-1)d   n = term number ( in this case 1000)
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