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Nookie1986 [14]
3 years ago
10

What is the variance of the following data? If necessary, round your answer to two decimal places.

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0
Definitely The answer B
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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There
KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5

We have to find the value of x such that the probability is 0.05

P(X > x)  = 0.05

P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05  

= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05  

=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83  

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0
3 years ago
HURRY ASAP WILL GIVE BRAINLIEST
patriot [66]

Answer:

w ≤ -2

Step-by-step explanation:

The first point is on -2 and is going down the number line so w is less than -2 but since there is a closed circle, it would be w is less than or equal to -2 or w ≤ -2

4 0
2 years ago
Read 2 more answers
A bakery sells a pack of peanut butter cookies for $3 and a
Westkost [7]
F(x,y) =3x + 5y (hope this helps )
5 0
2 years ago
Sophie was asked to plot the point (8,5). She started at the origin, moved 8 units up and 5 units to the
ycow [4]

Answer:

she plotted (8,5)

Step-by-step explanation:

the formula of that is (x,y). you would need to go 8 to the right and 5 units up. sophie mixed up the values.

6 0
2 years ago
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Khan khan khan khan
Ber [7]

Answer:

11

Step-by-step explanation:

it says motor cycles combined with garbage so add both of them then subtract that from the bull dosers

motor =18

garbage=4

18+4=22

bulldosers=11

22-11= 11 more

5 0
3 years ago
Read 2 more answers
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