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Pepsi [2]
3 years ago
15

Im distributive property and combining like term and I have to simplify this expression 10(7r)

Mathematics
1 answer:
faltersainse [42]3 years ago
8 0
It would be 70r if you are using distributive property
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An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive pr
LenKa [72]

Answer:

(a) The correct option is: <em>H₀</em>: <em>p</em> = 0.02 vs. <em>Hₐ</em>: <em>p</em> < 0.02.

(b) Explained below.

(c) The better value of <em>α</em> will be 0.10.

Step-by-step explanation:

An automobile manufacturer is considering using robots for part of its assembly process only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers.

To test whether the proportion of defective installations is less for the robots than for human assemblers use a single-proportion <em>z</em>-test.

(a)

The hypothesis can be defined as:

<em>H₀</em>: The proportion of defective installations is same for both the robots and  human assemblers, i.e. <em>p</em> = 0.02.

<em>Hₐ</em>: The proportion of defective installations is less for the robots than for human assemblers, i.e. <em>p</em> < 0.02.

The alternate hypothesis is the claim or the statement that is being tested.

In this case we need to test whether the proportion of defective installations is less for the robots than for human assemblers or not, so that the manufacturer can decide whether they want to apply the conversion.

Thus, the correct option is:

<em>H₀</em>: <em>p</em> = 0.02 vs. <em>Hₐ</em>: <em>p</em> < 0.02.

(b)

A type I error occurs when we discard a true null hypothesis and a type II error is made when we fail to discard a false null hypothesis.

In this case a type I error will be committed if conclude that the proportion of defective installations is less for the robots than for human assemblers when in fact it is not.

And a type II error will be committed if we fail to conclude that proportion of defective installations is less for the robots than for human assemblers.

(c)

The power of the test is the probability of rejecting a false null hypothesis.

The power of the test sis affected by the significance level of the test (<em>α</em>).

Lesser the significance level of the test the lesser is the power of the test.

If the value of <em>α</em> is reduced from 0.05 to 0.01 then the region of acceptance will increase. This implies that there is low probability of rejecting the null hypothesis even when it is false.

So higher the value of <em>α</em> the higher is the probability of making a correct decision.

Thus, the better value of <em>α</em> will be 0.10.

3 0
3 years ago
Adding school fairest 20% of the people are under 16 years old one third of the people remaining are teachers if there are 21 te
dedylja [7]
<span>In the fairest school 20% are below 16 years old
1/3 are teachers which is equals to = 21
Let’s start solving:
=> 1/3 of 100% = ( 100 / 3 = 33.33% )
thus 33.33% = 21
=> 21 x 3 = 63, is the total number of people in the school.
Let’s try solving the number of people below 16 years old
Then there are 20% of it:
=> 63 * .20 = 12.6
Thus, there are around 13 people who are 16 years old younger.</span>



4 0
3 years ago
What is 0.125 0.4 0.62 1.05 0.05 from least to greatest
aksik [14]

0.05

0.125

0.4

0.62

1.05

7 0
3 years ago
What is the slope of the line 3 + 4x = 2y - 9
SSSSS [86.1K]
Hello! 

Ok so ideally we would like to see this in y=mx+b form. But it will take some algebreic skills to ninja our way through this. 

I'll show my steps so you can follow, 

3+4x = 2y - 9 (original equation) 

Next we just add 9 to both sides, 

12 + 4x = 2y, now we can divide both sides by 2,

y=2x+6 as our final equation. This is in y=mx+b form, thus the slope of our line is 2 because the 2 is sitting in the m space of the equation. If you  still dont understand linear stuff, I'd google slope-intercept form 

Hope this helped!
7 0
3 years ago
Solve for n <br><br> 5) 13. n = 234
siniylev [52]

Answer:

13×n =234

n=234÷13

n=18

18 is ans

5 0
3 years ago
Read 2 more answers
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