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3 years ago

May someone help me out with this please

Mathematics

1 answer:

Fiesta28 [93]3 years ago

7 0

First we find the mean (average)
(7 + 8 + 9 + 9 + 10 + 11)/6 = 54/6 = 9

now we subtract the mean from every data number....and square it
7 - 9 = -2...-2^2 = 4
8 - 9 = -1...-1^2 = 1
9 - 9 = 0....0^2 = 0
9 - 9 = 0...0^2 = 0
10 - 9 = 1....1^2 = 1
11 - 9 = 2....2^2 = 4

now we find the mean (average) for those numbers
(4 + 1 + 0 + 0 + 1 + 4) / 6 = 10/6 = 1.67...this is the variance

to find the standard deviation, take the sqrt of the variance
sqrt 1.67 = 1.29 <== ur answer

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The mean score on a set of 17 test is 72. Suppose two more students take the test and score 68 and 63. What is the new mean?

Masja [62]

Answer:

New mean=71.32

Step-by-step explanation:

The expression for the total initial score is;

T=M×S

where;

T=total initial score

M=mean score

S=number in the set

replacing;

T=unknown

M=72

S=17

replacing;

T=72×17=1,224

The total initial score=1,224

Determine the total score by;

total score=total initial score+total final score

where;

total initial score=1,224

total final score=(68+63)=131

replacing;

total score=1,224+131=1,355

Determine the new mean;

New mean=total score/new number

where;

total score=1,355

new number=(17+2)=19

replacing;

new mean=1,355/19=71.32

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3 years ago

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Sidana [21]

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Step-by-step explanation:

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2 years ago

What are the vertex and xintercepts of the graph of the function below?<br> y=(x + 4)(x-2)

erik [133]

Yo sup??

y=(x+4)(x-2)

to find the x intercept put y=0

0=(x+4)(x-2)

so either x=-4 or x=2

Therefore the graph intersects the x axis at -4 and 2

Lenght of x intercept=|-4-2|=6 units

y=(x+4)(x-2)

=x^2+2x-8

This is an upward opening parabola

To find the coordinates of the vertex we can apply the formula

(-b/2a,-D/4a)

b=2

a=1

D=b^2-4ac

=4-4*1*(-8)

=4+32=36

Vertex=(-2/2*1,-36/4*1)

=(-1,-9)

Hope this helps.

3 0

3 years ago

Please! Solve f(x)-g(x) if f(x)=1/2x^4 - x^2 and g(x)= 3/4x^4 +3x^3 - x^2

igomit [66]

Answer:

$f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}$

Step-by-step explanation:

This is a subtraction between polynomials, since both functions are polynomials, hence, to solve the problem with need to perform the subtraction, by coefficients.

$f(x)= \frac{1}{2}x^{4}+0x^{3}-x^{2}\\\\g(x)=\frac{3}{4}x^{4}+3x^{3}-x^{2}$

By performing the subtraction, we have:

$f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}$

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3 years ago

JA manufacturer determines that the cost of making a computer component is $3.161616. Write the repeating decimal cost as a fra

Bad White [126]

Answer:

The repeating decimal cost

a) As a fraction = $ $\frac{3161616}{1000000}$

b) As a mixed number = $ $3\frac{161616}{1000000}$

Step-by-step explanation:

The cost of making a computer component

= $3.161616

= $ 3 + 0.161616

Looking at the repeating decimal it is in 6 decimal places, hence to convert it to a fraction,

0.161616/ 1000000 × 1000000

= 161616/1000000

Therefore, the cost of making the computer component =

$3 + $161616/1000000

Step 1

We convert to a fraction

$3 + $161616/1000000

We find the LCM = 1000000

($3 × 1000000)+ ($161616× 1)/1000000

3000000 + 161616/1000000

= $ (3161616/1000000)

As a Mixed number = $3\frac{161616}{1000000}$

8 0

3 years ago