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Lena [83]
4 years ago
9

Look at the picture! Express the following set in set-builder notation ?

Mathematics
1 answer:
Alex4 years ago
7 0

Answer:

A.   E={x|x\in N and x is a multiple of 8}

Step-by-step explanation:

Let x represent the set of natural numbers. Then we can write;

x\in N.

The set of all natural numbers that are multiples of 8 is then written as;

x\in N and x is a multiple of 8.

E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;

E={x|x\in N and x is a multiple of 8}

The correct choice is A

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A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard d
abruzzese [7]

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, \bar{x}_{1} = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, \bar{x}_{2} = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2}  \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ t_{\alpha /2} = 3.25

Therefore, we have;

\mu_1 - \mu_2 = \left (2.007- 2.001  \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

8 0
3 years ago
What is the difference between measuring a Circle in Degrees and measuring a Circle in Radians?
Eduardwww [97]

there are 360 degrees in circle, there are 6 radian in circle.

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3 years ago
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A cylinder and Its dimentions are shown below.
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Answer:

45

Step-by-step explanation:

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3 years ago
Trevor gets 10 heads when flipping a weighted coin 18 times. What is the experimental probability that the next flip will come u
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Answer:

5/9

i got it right

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2 years ago
Show work. step by step instructions. <br> solve for p<br> 4(p+2)=28
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We can use the distributive property for this:

4 (p+2) = 28

4p + 8 = 28.

4p = 28 - 8.

4p = 24.

Divide by 4 on both sides:

p = 6

6 0
4 years ago
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