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3 years ago

What is a 1/3 + a = 5/4

Mathematics

1 answer:

Oksanka [162]3 years ago

6 0

1/3+a=5/4

a=5/4-1/3

a=11/12

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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

X-30% is 12. What is X?

skad [1K]

If i'm not wrong,i think the answer is:

30％=0.3
X=0.3+12=12.3

5 0

3 years ago

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Ok this is a long one, so any help would mean the world, even if you only do part of it.

jeka94

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3 years ago

An after school job pays $46.50 for 6 hours of work. What is the unit rate?

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The unit rate is $7.75 because 46.50 divide by 6 is $7.75

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3 years ago

Find the exact interest on a loan of $32,600 at 9% annually for 30 days

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Answer:

$240.00 is the monthly interest

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3 years ago