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katovenus [111]
3 years ago
5

5.13570

gn="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
anzhelika [568]3 years ago
7 0
0.1428 is your answer
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Oksi-84 [34.3K]

Answer:

a

Step-by-step explanation:

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3 years ago
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The "cold start ignition time" of an automobile engine is being investigated by a gasoline manufacturer. The following times, in
Nezavi [6.7K]

Answer:

<em>1. Sample Mean = 2.50 </em>

<em>2. Sample Variance = 1.35</em>

<em>3. Standard Deviation = 1.16</em>

Step-by-step explanation:

Note: As this question is not complete, similar can be found on internet where following are asked to calculate and here I will calculate these as well.

1. Sample Mean.

2. Sample Variance.

3. Sample Standard Deviation.

So, for sample mean to calculate from the given data points. We need to apply to following formula to calculate sample mean.

Sample Mean = (X1 + X2 + .... + XN) divided by Total number of data points.

Sample Mean = (0.17 + 1.94 + 2.62 + 2.35 + 3.05 + 3.15 + 2.53 + 4.81 + 1.92) divided by (9).

<em>Sample Mean = 2.50</em>

Likewise, from the answer of sample mean we can calculate sample variance by following steps.

<u><em>Solution: </em></u>

1.      Subtract the obtained mean from each of the data point given.

       (0.17 - 2.50) = -2.33

       (1.94 - 2.50) = -0.56

       (2.62 - 2.50) = 0.12

       (2.35 - 2.50) = -0.15

       (3.05 - 2.50) = 0.55

       (3.15 - 2.50) = 0.65

       (2.53 - 2.50) = 0.03

       (4.81 - 2.50) =  2.31

       (1.92 - 2.50) = -0.58

2.      Square each of the differences obtained in step 1.

            -2.33^{2} = 5.43

            -0.56^{2} = 0.31

               0.12^{2} = 0.01

            -0.15^{2} = 0.02

              0.55^{2}  = 0.30

              0.65^{2}  = 0.42

              0.03^{2} = 0.01

              2.31^{2} = 5.34    

           -0.58^{2} = 0.34    

3.  Sum all of these squares.

(5.43 + 0.31 + 0.01 + 0.02 + 0.30 + 0.42 + 0.01 + 5.34 + 0.34) = 12.18

4. Divide 12.18 by (n-1), where n = 9.

<em>Sample Variance =  12.18/9 = 1.35</em>

Now, by using sample variance, we can calculate standard deviation with easy simple steps.

So, in order to find standard deviation, we just need to take the square root of sample variance that we have already calculated above.

<em>Standard Deviation = </em>\sqrt{1.35}<em> = 1.16 </em>

<em>Good Luck!</em>

6 0
3 years ago
PLEASE HELP ITS DUE TODAY PLEASE HELP ASAP 15 POINTS PLEASE HELP​
ludmilkaskok [199]

Answer:

210 cm³

Step-by-step explanation:

volume = W x L x H

(where W = width, L = length and H = height)

By inspection of the diagram,

W = 6 cm

L = 7 cm

H = 5 cm

Therefore, volume = 6 x 7 x 5 = 210 cm³

6 0
2 years ago
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Please help and show the steps please
Lynna [10]
First we solve for y₁
3×5 - 5y₁ = 20
15 - 5y₁ = 20
-5y₁ = 20 - 15
-5y₁ = 5
y₁ = -1
(5, -1)

Now we solve for x₂
3x₂ - 5×2 = 20
3x₂ - 10 = 20
3x₂ = 20 + 10
3x₂ = 30
x₂ = 10
(10, 2)
6 0
3 years ago
What conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0​
nexus9112 [7]

Answer:

x=-3

Step-by-step explanation:

If x=-3, then

x³+x²-2x+12=-27+9+6+12=-27+27=0

If this is true, then x+3 is a factor. So:

x³+x²-2x+12/x+3=x²-2x+4

So the factors of x³+x²-2x+12 are:

(x+3)(x²-2x+4)

((x²-2x+4) has no real roots)........

4 0
2 years ago
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