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3 years ago

PLEASE HELP! Show your work! Thank you so much!!!!!

Mathematics

2 answers:

steposvetlana [31]3 years ago

8 0

7% of $500 is $35.

If you make $35 a year, in 3 years you would make 35 x 3 = 105

$105 + $500 = $605 C. is the correct answer.

DedPeter [7]3 years ago

5 0

7% of 500 is 35
35 * 3 = 105
500 + 105 = 605therefore ur answer is c $605

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WILL GIVE BRAINLIEST<br> PLZ help meh<br> thank you

GREYUIT [131]

Answer:

the -2 at the end means that while the x remains constant, the y will be smaller - it shifts it 2 units downthe other change is that it's x+4 now, not x, and this shifts the graph left. (the value of function is now the same as previously when x was smaller)the answer is B!

Step-by-step explanation:

5 0

3 years ago

Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose t

worty [1.4K]

Answer:

a) $P(X \leq 100) = 1- e^{-0.01342*100} =0.7387$

$P(X \leq 200) = 1- e^{-0.01342*200} =0.9317$

$P(100\leq X \leq 200) = [1- e^{-0.01342*200}]-[1- e^{-0.01342*100}] =0.1930$

b) $P(X>223.547) = 1-P(X\leq 223.547) = 1-[1- e^{-0.01342*223.547}]=0.0498$

c) $m = \frac{ln(0.5)}{-0.01342}=51.65$

d) $a = \frac{ln(0.05)}{-0.01342}=223.23$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}$

Solution to the problem

For this case we have that X is represented by the following distribution:

$X\sim Exp (\lambda=0.01342)$

Is important to remember that th cumulative distribution for X is given by:

$F(X) =P(X \leq x) = 1-e^{-\lambda x}$

Part a

For this case we want this probability:

$P(X \leq 100)$

And using the cumulative distribution function we have this:

$P(X \leq 100) = 1- e^{-0.01342*100} =0.7387$

$P(X \leq 200) = 1- e^{-0.01342*200} =0.9317$

$P(100\leq X \leq 200) = [1- e^{-0.01342*200}]-[1- e^{-0.01342*100}] =0.1930$

Part b

Since we want the probability that the man exceeds the mean by more than 2 deviations

For this case the mean is given by:

$\mu = \frac{1}{\lambda}=\frac{1}{0.01342}= 74.516$

And by properties the deviation is the same value $\sigma = 74.516$

So then 2 deviations correspond to 2*74.516=149.03

And the want this probability:

$P(X > 74.516+149.03) = P(X>223.547)$

And we can find this probability using the complement rule:

$P(X>223.547) = 1-P(X\leq 223.547) = 1-[1- e^{-0.01342*223.547}]=0.0498$

Part c

For the median we need to find a value of m such that:

$P(X \leq m) = 0.5$

If we use the cumulative distribution function we got:

$1-e^{-0.01342 m} =0.5$

And if we solve for m we got this:

$0.5 = e^{-0.01342 m}$

If we apply natural log on both sides we got:

$ln(0.5) = -0.01342 m$

$m = \frac{ln(0.5)}{-0.01342}=51.65$

Part d

For this case we have this equation:

$P(X\leq a) = 0.95$

If we apply the cumulative distribution function we got:

$1-e^{-0.01342*a} =0.95$

If w solve for a we can do this:

$0.05= e^{-0.01342 a}$

Using natural log on btoh sides we got:

$ln(0.05) = -0.01342 a$

$a = \frac{ln(0.05)}{-0.01342}=223.23$

5 0

3 years ago

Why is 26 an irrational number

zavuch27 [327]

Answer:

26 is a rational number.

Step-by-step explanation:

26 is a rational number, because it is an integer (whole number), which falls under the rational number category.

5 0

3 years ago

Simplify the answer 21/10+5/10

Softa [21]

21/10+5/10
Add nominators since denominators are the same.
26/10
Or 2 6/10 as a mixed number.

3 0

3 years ago

A record players original price was $235. It was sold at 15%. what is the sale price?

shusha [124]

The sale price is 35.25 dollars

3 0

4 years ago

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