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galben [10]
3 years ago
10

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

and a standard deviation of 7. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 141.4 millimeters
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let \bar X = <u><em>sample mean diameter</em></u>

The z score probability distribution for sample mean is given by;

                            Z  =  \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } }  ~ N(0,1)

where, \mu = population mean diameter = 141 millimetres

           \sigma = standard deviation = 7 millimetres

           n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P(\bar X > 141.4 millimetres)

      P(\bar X > 141.4) = P( \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } } > \frac{141.4-141}{\frac{7}{\sqrt{39} }  } } ) = P(Z > 0.36) = 1 - P(Z \leq 0.36)

                                                            = 1 - 0.6406 = <u>0.3594</u>

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

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qwelly [4]
You didnt give enough information but 40
3 0
3 years ago
Divide 4 2/3 &amp; 3 1/3. Simplify the answer and write it as a mixed number.
Leto [7]

Answer:

4 2/3 ÷ 3 1/3= 1 2/5

Step-by-step explanation:

First, you turn the mixed terms into an improper fraction like this

4 2/3 → 14/3 because when you multiply 4 times 3 equaling 12 then having 2 then adding that you get 14/3.

3 1/3 → 10/3 because when you multiply 3*3=9 then having 1 and adding that you get 10/3.

Then, you do KCF which stands for <u>Keep Change Flip</u> so for this you would do: 14/3 ÷ 10/3 → 14/3 × 3/10

14 × 3 = 42 and 3 × 10= 30

Now being 42/30 this is considered an improper fraction in which you have to transform it into a mixed number like this:

(For this you need to find the greatest common factor)

42/30 →  42 and 30 greatest common factor is 6 because they are divisible and factor of 6.

Now you divide both the denominator and the numerator y 6 like this:

42 ÷ 6= 7

30 ÷ 6= 5

Now we have 7/5, this is still an improper number so we see how many times 7 can go to 5 which is once. So we have 1 as whole number, now we put the reminder as the numenator of the mix fraction keeping 5 as being the denominator.

Overall, We have our answer 1 2/5

I hope this helps :D  

7 0
3 years ago
HELP ASAP!!
garri49 [273]
I'm pretty sure it would be <span>x - y + 1 = 0 because if you plug in one of the coordinates into each equation, this is the only one that works.

</span><span>y - x + 1 = 0
2 - 1 + 1 = 0
2 = 0 not correct

</span><span>x - y + 1 = 0
1 - 2 + 1 = 0
0 = 0 correct

</span><span>-x - y + 1 = 0
-1 - 2 + 1 = 0
-2 = 0 not correct
</span>
4 0
3 years ago
How do i solve this problem?
Dominik [7]

Answer:

Step-by-step explanation:

surface area of one  can 2πrh+2πr²

=2πr(h+r)

≈2×3.14×3/2(4.25+1.5)

≈9.42(5.75)

≈54.165 in²

number of cans=1000/54.165

=18 cans

material used=18×54.165≈975 in²

material left=1000-975=25 in²

3 0
3 years ago
What is (3x+8) + (6x+2) in simplest form
barxatty [35]
(3x+8) + (6x+2) \\ \\ 3x + 8 + 6x + 2 \ / \ simplify \\ \\ (3x + 6x) + 8 + 2 \ / \ gather \ like \ terms \\ \\ 9x + 8 + 2 \ / \ simplify \\ \\ 9x + 10 \ / \ simplify \\ \\ Answer: \fbox {9x + 10}
7 0
3 years ago
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