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Dahasolnce [82]
3 years ago
12

PLEASE HELP!!!

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

standard deviation=143.527

C

Step-by-step explanation:

75, 82, 100, 120, 140.

if we add 450

75, 82, 100, 120, 140,450

standard deviation=143.527

find the mean=sum /count=967/6=161.167

then find the  √square difference between each sample and the mean, add up the differences²/6-1

find the square root of the differences=143.527

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The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $620
nikdorinn [45]

Answer:

Step-by-step explanation:

Let x represent the number of units of games sold.

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be

0.9 × x = 0.9x

The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be

1.69 × x = 1.69x

The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be

C = 6200 + 0.9x

Profit = Revenue - total cost

Therefore,

Profit = 1.69x - (6200 + 0.9x)

= 1.69x - 0.9x - 6200

= 0.79x - 6200

8 0
3 years ago
If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that
Ivan

Answer:

\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

<u>Given</u><u> </u><u>:</u><u>-</u>

• \sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}

<u>To</u><u> </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>

•\sf\implies cos2A =\dfrac{\sqrt3}{2}

<u>Proof </u><u>:</u><u>-</u><u> </u>

We know that ,

\sf\implies cos2A = 1 - 2sin^2A

Therefore , here substituting the value of sinA , we have ,

\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2

Simplify the whole square ,

\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}

Add the numbers in numerator ,

\sf\implies cos2A =  1-2\times \dfrac{4-2\sqrt3}{8}

Multiply it by 2 ,

\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}

Take out 2 common from the numerator ,

\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}

Simplify ,

\sf\implies cos2A =  1 -\dfrac{ 2-\sqrt3}{2}

Subtract the numbers ,

\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}

Simplify,

\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }

Hence Proved !

8 0
3 years ago
W + 4 = 16<br> Need for a test
Nady [450]

Answer:

12

Step-by-step explanation:

when + go to the other side it has to be -

w=16-4

=12

7 0
3 years ago
Read 2 more answers
Kendrick and Rishaun spend a total of $112 at an amusement park. They spend $32 on parking, $12 on lunch, and the rest on 2 admi
Elena-2011 [213]
Each ticket is $34 each
32+12+2x=112
44+2x=112
-44 -44
———————-
2x=68
— —
2 2
x=$34
6 0
3 years ago
Ethan burns 650 calories when he runs for 1 hour. Soppose he runs 5 hours in one week
alex41 [277]
650 x 5=3250 calories
3 0
3 years ago
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