Determine how (if possible) the triangles can be proved similar.

The American Community Survey showed that residents of New York City have the longest travel times to get to work compared to re

LiRa [457]

Answer:

The probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.

Step-by-step explanation:

The random variable X can be defined as the travel times to get to work.

The expected travel time is, μ = 38.3 minutes.

The distribution of random variable X can be defined as the distribution of time interval between which a person reaches their work place at a constant average rate.

This implies that X follows an Exponential distribution with parameter, $\lambda=\frac{1}{\mu}=\frac{1}{38.3}$ .

The probability density function of X is:

$f_{X}(x)=\lambda e^{-\lambda x};\ x\geq 0$

Compute the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work as follows:

$P(17.24\leq X\leq 42.13)=\int\limits^{42.13}_{17.24}{\frac{1}{38.3} e^{-x/38.3}}}\, dx$

$=\frac{1}{38.3}\times \int\limits^{42.13}_{17.24}{ e^{-x/38.3}}}\, dx$

$=\frac{1}{38.3}\times| \frac{e^{-x/38.3}}{-1/38.3}}|^{42.13}_{17.24}\\$

$=-e^{42.13/38.3}+e^{17.34/38.3}\\=-0.3329+0.6375\\=0.3046$

Thus, the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.

6 0

3 years ago

Find the mean and range. 26 19 23 39 31 34 23 25

sveticcg [70]

Range: largest number minus the smallest number
39 - 19 = 20
your range is 20

Mean: add all of the numbers and divide by the amount of numbers there are.

26+19+23+39+31+34+23+25= 220
220/8 = 27.5

your mean is 27.5

hope this helps

7 0

3 years ago

Read 2 more answers

Ms. Thornton is buying treats for her top 10 algebra students in each of her two classes (20 treats total). She’s only willing t

Paladinen [302]

Answer:

Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75.

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

Step-by-step explanation:

Total treats to buy = 20

Total cost to spend = $30

Price of one candy pack = 1.75

We need to find:

a) What is the maximum number of packs that she will be able to buy?

Price of 1 candy pack = $1.75

If she spends $30, divide 30 by 1.75 to get the number of candy packs she can buy

Number of candy packs = $\frac{30}{1.75} = 17.14 \approx 17$

So, Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75

b) Will that be enough for all of her students?

No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.

5 0

3 years ago

Identify an equation in point-slope form for the line perpendicular to y = –4x – 1 that passes through (–2, 7).

MrMuchimi

Slope of a line perpendicular to an equation is the negative reciprocal of the original equations slope.

In this case the slope is -4 so the line perpendicular will be +1/4

y = (1/4)x + b
7 = (1/4)*-2 + b
7 = -1/2 + b
b = 7 1/2 or 7.5

Full equation is y = (1/4)x + 7.5

6 0

3 years ago

Read 2 more answers

Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? Note: 1 pound is about 0.45 kilograms

tekilochka [14]

Answer:

The baby weighs less then the watermelon.

Step-by-step explanation:

The 12 pounds of the baby = about 5.4 kilograms unlike the 7.5 kilograms of the watermelon.

8 0

3 years ago