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3 years ago

Need help on this! (plz help)

Mathematics

1 answer:

Lynna [10]3 years ago

5 0

Step-by-step explanation:

you just need to put each in the calculator. I'm not so sure what an ALEKS calculator is

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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

A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten c

Lelechka [254]

Make two equations representing the position of each animal, p and k, for the puppy and kitten respectively.

p=25t and k=180+20t

The puppy will catch the kitten when p=k so we can say:

25t=180+20t subtract 20t from both sides

5t=180 divide both sides by 5

t=36

So the puppy will catch the kitten after 36 seconds.

7 0

3 years ago

Read 2 more answers

Brainliest to whoever gets it right first

Inga [223]

I just guessed and it is 108

3 0

3 years ago

What is the volume of the cylinder below?

snow_lady [41]

Volume of cylinder = πr²h

Volume = π (12)² × 17