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3 years ago

11

Simplify (3x + 14) + (19x - 35)

1 answer:

Ray Of Light [21]3 years ago

6 0

Answer:

22x -21

Step-by-step explanation:

(3x + 14) + (19x - 35)

Combine like terms

3x+19x + 14-35

22x -21

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Every day, Luann walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, wit

Nana76 [90]

Answer:

a. 341.902.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of a normal variable:

For n instances of a normal variable, the mean is $n\mu$ and the standard deviation is $s = \sigma\sqrt{n}$

60 days, for each day, mean 6, variance of 12.

So

$\mu = 60*6 = 360$

$s = \sqrt{12}\sqrt{60} = 26.8328$

What is the 25th percentile of her total wait time over the course of 60 days?

X when Z has a p-value of 0.25, so X when Z = -0.675.

$Z = \frac{X - \mu}{s}$

$-0.675 = \frac{X - 360}{26.8328}$

$X - 360 = -0.675*26.8328$

$X = 341.902$

Thus, the correct answer is given by option A.

3 0

2 years ago

The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Write an expo

xeze [42]

<h2>Hello!</h2>

The answer is:

In 2036 there will be a population of 32309 rabbits.

<h2>Why?</h2>

We can calculate the exponential decay using the following function:

$P(t)=StartAmount*(1-\frac{percent}{100})^{t}$

Where,

Start Amount, is the starting value or amount.

Percent, is the decay rate.

t, is the time elapsed.

We are given:

$StartAmount=144,000\\x=7.2(percent)\\t=2036-2016=20years$

Now, substituting it into the equation, we have:

$P(t)=StartAmount(1-\frac{percent}{100})^{t}$

$P(t)=144000*(1-\frac{7.2}{100})^{20}$

$P(t)=144000*(1-0.072)^{20}$

$P(t)=144000*(0.928)^{20}$

$P(t)=144000*(0.928)^{20}$

$P(t)=144000*0.861=32308.888=32309$

Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.

Have a nice day!

5 0

3 years ago

Free to whoever gets it

liraira [26]

LolAnswer:

Step-by-step explanation:

3 0

3 years ago

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Cameron is trying to find the equation of a line that

Alchen [17]

Yes it does I went on Desmos graphing Calculator and put in the equation and got those answers

5 0

3 years ago

Need help please and thank

cupoosta [38]

Answer:

The Answer is B

Step-by-step explanation:

All the numbers and coefficients in option B correspond with the ones in the question. Hope this helps :)

7 0

3 years ago