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4 years ago

Help with word problems and inequalities?

Mathematics

1 answer:

jeyben [28]4 years ago

8 0

Answer:

what is your question

Step-by-step explanation:

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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

Awnser me pkeaeeeeeeeeee

postnew [5]

Answer:

46.01

Step-by-step explanation:

i.e sum of all the purchases + 7% of the total purchase.

3 0

3 years ago

Find the measure of angle x in the figure below<br>67 61<br>у<br>X<br>67

kondor19780726 [428]

Answer: y67

Step-by-step explanation:5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = y67

3 0

3 years ago

Read 2 more answers

Devon rented a U Haul truck for $48 for 4 hours plus $13.50 per each hour you go over. At the end of the day, his total bill was

Rasek [7]

Answer:

You need to write an equation to find the answer to this:

h = hours

48 + 13.5h = 112.50 -First you need to subtract 48 from both sides

48 - 48 + 13.5h = 112.50 - 48

13.5h = 64.5 -Now divide both sides by 13.5

13.5h / 13.5 = 64.5 / 13.5

h = 4.77777778

However, I would just round to 5.

I hope this helps!

-Mikayla

3 0

3 years ago

Use benchmarks to estimate the sum of 9 1/16 +3 1/16

Leno4ka [110]

12 and 1/8, I just simplified 2/16 to 1/8

5 0

3 years ago

Read 2 more answers