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gavmur [86]
3 years ago
7

What is the variance of the data set? 8, 9, 10, 16, 17

Mathematics
1 answer:
adoni [48]3 years ago
6 0
Mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.

x - mean:

8 - 12 = -4,  -4² = 16

<span>9 - 12 = -3,  -3² = 9
</span>
<span>10 - 12 = -2,  -2² = 4
</span>
<span>16- 12 = 4,  4² = 16</span>

<span>17- 12 = -5,  -5² = 25
</span>
Sum of the squares =   16 + 9 + 4 + 16 +25 = 70

Variance = 70/5 = 14

Variance = 14
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Y=-3x+12 Y=-3
Alenkasestr [34]

Well first you substitute -3 for y and then subtract 12 from both sides of the equation and it should look like -15=-3x. Then divide 3 on both sides and you should end up getting 5=x.

4 0
3 years ago
At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician
Serhud [2]

Answer:

The value of the test statistic is t = 1.97

Step-by-step explanation:

The null hypothesis is:

H_{0} = 250

The alternate hypotesis is:

H_{1} \neq 250

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the null hypothesis value, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 251.6, \mu = 250, \sigma = 5.4, n = 44

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}

t = 1.97

The value of the test statistic is t = 1.97

4 0
3 years ago
What dimensions of the box are required to fit the candle? 5 cm by 6 cm by 18 cm 7 cm by 6 cm by 18 cm 5 cm by 3 cm by 18 cm 7 c
ella [17]

Answer:

7cm.by6cm sana makatulong

4 0
3 years ago
Read 2 more answers
Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x-3y=13 4x-y=-9
Tems11 [23]

2x -3y = 13

4x -y = -9

Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.

4x -y = -9 x -3 = -12x + 3y = 27

Now add this to the first equation:

2x -12x = -10x

-3y +3y = 0

13 +27 = 40

Now you have :

-10x = 40

Divide each side by -10:

x = 40 / -10

x = -4

Now you have a value for x, replace that into the first equation and solve for y:

2(-4) - 3y = 13

-8 - 3y = 13

Add 8 to both sides:

-3y = 21

Divide both sides by -3:

y = 21/-3

y = -7

Now you have X = -4 and y = -7

(-4,-7)

3 0
3 years ago
Can someone help me please with number 3?
Reil [10]

Answer:

The cost of 4 medium pizzas:

4 (x - 3)

Step-by-step explanation:

#3

x = the cost of a large pizza

medium pizza costs $3 less than a large pizza. So it's x - 3

If 4 medium pizzas then it will be: 4 (x - 3)

6 0
3 years ago
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