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3 years ago

Two more than the product of a number and 6 is 8

Mathematics

1 answer:

solniwko [45]3 years ago

4 0

Answer: 6n + 2 = 8

Step-by-step explanation:

2 more means add but due to order of operations, you do multiplication first. a number is represented by n. 6n means 6 x n. Then add 2 to get 8. You can sub in 1 for n and it will be solved.

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Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find

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The z-score corresponding to an observed value of x of 2 is 0.215.

Step-by-step explanation:

We are given that a variable x has the possible observations shown below;

Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.

Firstly, we will find the mean and the standard deviation of X, i.e;

Mean of X, ( $\mu$ ) = $\frac{\sum X}{n}$

= $\frac{(-3)+ (-1)+ 0+ 1+ 1+ 2+ 4+ 4+ 5}{9}$

= $\frac{13}{9}$ = 1.44

Standard deviation of X, ( $\sigma$ ) = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{(-3-1.44)^{2}+(-1-1.44)^{2}+......+(4-1.44)^{2}+(5-1.44)^{2} }{9-1} }$

= 2.603

Now, the z-score corresponding to an observed value of x of 2 is given by;

z-score = $\frac{X-\mu}{\sigma}$

= $\frac{2-1.44}{2.603}$ = <u>0.215.</u>

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3 years ago