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posledela
3 years ago
14

Find the standard deviation of the words per page. 10 15 8 16 14 12 9 12 14 10

Mathematics
2 answers:
Vanyuwa [196]3 years ago
3 0

Answer:

Standard deviation =  2.569

Step-by-step explanation:

The mean = (10 + 15 + 8 + 16 + 14 + 12 + 9 + 12 + 14 + 10) ÷ 10 = 12

x - mean = -2 , 3 , -4 , 4 , 2 , 0 , -3 , 0 , 2 , -2

(x - mean)² = 4 , 9 , 16 , 16 , 4 , 0 , 9 , 0 , 4 , 4

Σ(x - mean)² = 4 + 9 + 16 + 16 + 4 + 0 + 9 + 0 + 4 + 4 = 66

Standard deviation = √(66/10) = 2.569

yaroslaw [1]3 years ago
3 0

Answer:

standard deviation = 2.56 .

Step-by-step explanation:

We have to find the standard deviation of :

10, 15, 8 ,16, 14, 12, 9,12, 14, 10

The formula to find standard deviation is:

S.D = ∑(x-mean)² / n where n is total number of values.

The mean is the sum of total values divided by the number of values.

The mean=( 10+ 15+8 +16+14+ 12+ 9+12+ 14+ 10) / 10 = 12

(x- mean) = -2 , 3 ,-4 , 4 , 2 , 0 , -3 , 0 ,  2 ,  -2 .

(x- mean)² =  4, 9,16, 16, 4, 0, 9, 0, 4, 4.

∑(x- mean)² = 4+9+16+ 16+4+ 0+ 9+0+ 4+ 4= 6

n = 10

Putting values in formula, we have

standard deviation =√66/10

S.D=  2.56  which is the answer.

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Answer:

total=45

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7 0
3 years ago
Suppose that you want to design a cylinder with the same volume as a given cylinder, but you want to use a different radius and
shutvik [7]

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6 0
3 years ago
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A consumer organization estimates that over a​ 1-year period 20​% of cars will need to be repaired​ once, 5​% will need repairs​
gtnhenbr [62]

Answer:

a) 0.5476

b) 0.0676

c) 0.4524

Step-by-step explanation:

Given this information, we can conclude that 74% of the cars won't need any repairs over a 1-year period (100 - 20 - 5 - 1 = 74%). And 26% will need at least 1 repair over a 1-year period.

P(car doesn't need repair) = 0.74

P (car needs repair) = 0.26

If you own two cars, the probability that:

<u>a) Neither will need repair:</u>

We need that car 1 won't need repair AND car 2 won't need repair.

=P(Car 1 doesn't need repair) x P(Car 2 doesn't need repair)

= 0.74 x 0.74 = 0.5476

The probability that neither will need repair is 0.5476.

<u>b) Both will need repair:</u>

We need that car 1 needs repair AND car 2 needs repair.

P(Car 1 needs repair) x P(Car 2 needs repair)

= 0.26 x 0.26 = 0.0676

The probability that both will need repair is 0.0676

<u>c) At least one car will need repair</u>

Car 1 needs repair or Car 2 needs repair or both need repair.

To solve this one, it's easier to use the complement of P(neither needs repair)

1 - P(neither needs repair)

1 - (0.74)(0.74)  = 1 - 0.5476 = 0.4524

The probability that at least one car will need repair is 0.4524

4 0
3 years ago
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Colt1911 [192]
You actually have most of the answers correct.
E is the origin
D is the x axis
A is the y axis
B is at coordinates (1, 3)
C is at coordinates (3, 1)
*remember you go across on the graph x axis and then up y axis.
6 0
4 years ago
Find the value of each variable in the parallelogram
melomori [17]

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

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x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

5 0
3 years ago
Read 2 more answers
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