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4 years ago

5(k+5)+4<21+6k what is the answer

1 answer:

4 0

Solve whats in the parentheses first
5k+25+4<21+6k

5k+29<21+6k

plug in a number in k for both sides
5(1)+29<21+6(1)
5+29<21+6
34<27

5(2)+29<21+6(2)
10+29<21+12
39<33

so 5(k+5)+4 is greater than 21+6k

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Will give 15 point <br> Easy math please explain your work

shtirl [24]

Answer:

Answer is 154

Step-by-step explanation:

4 0

3 years ago

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

Please help with my geometry

faust18 [17]

Answer:

www.mahtpapa.com

Step-by-step explanation:

5 0

3 years ago

(39 points PLZ HELP)Find the sum of a finite geometric series. A ball is dropped from a height of 10 meters. Each time it bounce

erastovalidia [21]

So we need to find the sum of the first 5 terms.

You have told me that the first term is 10 meters, and that r = 0.5 per term.

With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).

Plugging in the terms that we know...

s₅=10((1-0.5⁵)/(1-0.5))

s₅=10(0.96875/0.5)

s₅=10(1.9375)

s₅=19.375

With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.

3 0

3 years ago

Read 2 more answers

8 5x=-2 whats the value of the variable?

wlad13 [49]

In order to get the value of x you have to set x by itself subtract from both sides because the only way to get rid of a positve its with a negative now you have 5x=6, now divide 5 from both sides because the only way to get rid of a multiplication is with a division, this will give you the final answer of x=6/5

Hope this helps

8 0

3 years ago