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3 years ago

Mark drove 50 percent of the distance.

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Break everything into 8ths.

50% = 1/2=4/8

4/8+1/8=5/8
the remaining distance is 8/8-5/8. so 3/8, not 1/4

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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

What is the square root of 72

Andrej [43]

Answer:

8.48528137424

Step-by-step explanation:

5 0

3 years ago

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Need help with this

zepelin [54]

Answer:

4.2 is your answer rounded to the nearest tenth.

Step-by-step explanation:

8/17 is equal to 0.470588235294.

In order to make an equivalent fraction with 9 as the denominator, divide 9 by 17 to get 0.529411764705.

Then, multiply 0.529411764705 by 8 to get 4.235294117647.

4.235294117647 is our <em>u</em><em>.</em>

Simplified to the nearest tenth it is 4.2.

we can double check our answer by taking 4.235294117647 divided by 9. You should get 0.470588235294.

Hope this helps!

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2 years ago

What is 40 1/3 divided by 50

solong [7]

121/150 or 0.0806. The 6 is repeating itself.

8 0

2 years ago

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Tim can mow 4 lawns in 6 hours. How many lawn(s) can he mow in 1 hour?

Art [367]

4/6 = 0,66

So, Tim can mow 0,66 lawns in 1 hours.

Control:
0,66 lawns x 6 hours = 4 lawns

6 0

2 years ago

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