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zvonat [6]
3 years ago
15

A random variable X has a mean of 10 and a standard deviation of 3. If 2 is added to each value of X, what will the new mean and

standard deviation be?
Mathematics
1 answer:
dlinn [17]3 years ago
6 0

Answer:

New mean will be 12

And no change in standard deviation

Step-by-step explanation:

We know the relationship between the two mean and standard deviation

\sigma=\frac{\sqrt{x-x_i}}^2{n}

\sigma=\text{standard deviation},x=mean,n=\text{number of observations}

If we add 2 to each value of x that means the mean will become n will become 2n and since we are adding 2 to each value

The new mean will become 12

And there will be no change in the standard deviation because of equal change in the each data.

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Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.
Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

a_n=a_1+(n-1)d

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

a_7=a_1+(7-1)d

40=a_1+6d

a_1+6d=40

a18 = 106

a_1_8=a_1+(18-1)d

a_1+17d=106

we can subtract both equations

a_1+17d-a_1-6d=106-40

11d=66

d=6

now, we can find a1

a_1+6d=40

we can plug d=6

a_1+6*6=40

a_1=4

12th term:

a_1_2=a_1+(12-1)d

now, we can plug values

a_1_2=4+(12-1)*6

a_1_2=4+66

a_1_2=70

so, 12th term is 70...........Answer

3 0
4 years ago
Suppose that g(x)=f(x+8)+4 which statement best compares the graph of g(x) with the graph of f(x)
olga nikolaevna [1]


The graph of G(x) is the graph of F(x) shifted 4 units down. B. The graph of G(x) is the graph of F(x) shifted 4 units to the left C. The graph of G(x)...



5 0
3 years ago
What is the GCF of (8x-6) <br><br>sos T-T
makvit [3.9K]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the G.C.F. of 8x-6.

\triangle~\fbox{\bf{KEY:}}

  • G.C.F. stands for Greatest Common Factor.

So what is the G.C.F. of 8x-6? We can list all of their common factors and then select the greatest one, like so:

\longmapsto\bf{Factors\;of\;8x:} 1, 2, 4, 8, x

\longmapsto\bf{Factors\;of\;-6:} -1, 1, 2, -3, 3, -6, 6

So the GCF is:

2

Now, we can also factor it out by placing it outside the parentheses ():

2(4x-3)

See, we factored it out by dividing both terms of the expression by the G.C.F.

\ddot\bigstar Remember this...

\fbox{\bf{We\;factor\;out\;the\;G.C.F.\;by\;dividing\;all\;the\;terms\;of\;the\;expression\;by\;it}}

Hope this helps you out! :D

Ask in comments if any queries arise.

~Just a smiley person helping fellow students :)

6 0
2 years ago
Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form
DochEvi [55]

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8     (original equation)

x+8=5y <u>(Addition Property of Equality)</u>

1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>

<u />

y-y1=m(x-x1)    <u>(point-slope formula)</u>

y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>

y+5=1/5(x-6)

y+5=1/5x-6/5   (Distributive Property of Multiplication)   Note:  5 = 25/5

<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)

<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)

5 0
3 years ago
4(x - 1) =2(x + 2)<br> 10. 8
Angelina_Jolie [31]

Answer:

9.4

Step-by-step explanation:

8 0
3 years ago
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