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Zielflug [23.3K]
3 years ago
9

the following data values represent a population. what is the variance of the values? 17, 5, 11, 1, 11

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0
Variance = summation of (x - mean)^2 all divided by the number of dataset.
mean = (17 + 5 + 11 + 1 + 11)/5 = 9

Variance = [(17 - 9)^2 + (5 - 9)^2 + (11 - 9)^2 + (1 - 9)^2 + (11 - 9)^2]/5 = (8^2 + (-4)^2 + 2^2 + (-8)^2 + 2^2}/5 = (64 + 16 + 4 + 64 + 4)/5 = 152/5 = 30.4
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Jina is saving money to buy a bike. She has $63 and is going to save an additional $9 each week. The bike costs $198. In how man
Cerrena [4.2K]

Answer:

Jina will have enough money to buy the bike in 15 weeks

Step-by-step explanation:

y = mx + b

198 = 9x + 63

Subtract 63 from both sides;

135 = 9x

Divide both sides by 9;

x = 15

3 0
3 years ago
Select the property of equality used to arrive at the conclusion. If x = 3, then x 2 = 3x
VARVARA [1.3K]
I think it would be the Multiplication property of equality
4 0
3 years ago
Read 2 more answers
Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11)
Katen [24]

Answer:

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).

Step-by-step explanation:

We have given the vertices at (0, ±9) and foci at (0, ±11).

Let (0,±a)  = (0,±9) and (0,±c)  = (0,±11)

The standard equation of parabola is:

\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} }=1

From statement, a  = 9

c² = a²+b²

(11)²  = (9)²+b²

121-81  = b²

40  = b²

Putting the value of a² and b² in standard equation of parabola, we have

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 which is the answer.

3 0
3 years ago
Ronnie collects horseshoes and hand grenades and places
lesantik [10]

Answer: 3.5 pounds

Step-by-step explanation:

3 s   + 7 h = 32        s = shoes   h= hand grenades

6 s   + 2 h = 22        Multiply first equation by -2   and add to second equation to get :

-12 h = -42

h = 3.5 pounds

sorry if this was late

8 0
2 years ago
What is the value of this expression 6 • [(32 - 8) divided by 4 + 2]
zalisa [80]

Answer:

48 is your answer.

Step-by-step explanation:

What you want to do is follow PEMDAS.

Parenthesis are first. You will subtract 32 and 8 to get 24.

6 x [(24)/4+2] You will then divide 24 and 4 to get 6.

6 x[6+2] you will then add 6+2 to get 8.

6 x 8 = 48 is your answer.

7 0
3 years ago
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