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3 years ago

What’s the correct answer

Mathematics

1 answer:

Lisa [10]3 years ago

6 0

A would be your answer I believe

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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

SOMEONE PLEASE HELP ME PLEASE

Stells [14]

Answer:

jajajajajjajajajajjajajajjajajajaj

3 0

3 years ago

Help please!!! will make brainiest

dangina [55]

Answer:

32.4

Step-by-step explanation:

14 3/5 = 14.6

14.6*6=87.6

120-87.6=32.4

8 0

4 years ago

Find the value of cos x° + sin yº

MA_775_DIABLO [31]

Answer:

1.84

Step-by-step explanation:

The given arc is a part of a unit circle centered at origin.

The x-coordinate on the unit circle represent the cosine value and y-coordinate on the unit circle represent sine value.

So, for angle equal to $x$ °, the x coordinate represents $cos (x)$ °.

So, $cos x$ ° = 0.86

Similarly, the y-coordinate of angle y represent $\sin y$ °.

So, $\sin y$ ° = 0.98

Therefore, the value of $cos (x)$ ° + $\sin y$ ° = 0.86 + 0.98 = 1.84.

4 0

3 years ago

Bob recorded the number of hours each person watched TV in a week. He then organized the information in a frequency table.

seraphim [82]

Answer:

yque ha haceqr ailluey

Step-by-step explanation:

6 0

3 years ago