Let f(x) = -x -5 F(4)

A store opens at 8am. From 8 until 10 customers arrive at a Poisson rate of four an hour. Between 10 and 12, they arrive at a Po

SVETLANKA909090 [29]

Answer:

The probability distribution of the number of customers that enter the store on a given day is:

$P(x=k)=\frac{57^ke^{-57}}{k!}$

Step-by-step explanation:

To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.

This can be done with the data given:

1) From 10 to 12, 8 arrival/hour: 16 expected arrivals in this period

2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.

3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.

The total expected arrivals in a day are: 16+20+21=57 arrivals/day.

Then, the probability distribution of the number of customers that enter the store on a given day is:

$P(x=k)=\frac{57^ke^{-57}}{k!}$

5 0

3 years ago

Please some help me .<br><br> OPTIONS: 75 degrees, 30, 90, or 45

lyudmila [28]

Answer:

x = 45

Step-by-step explanation:

x + 45 + 2x = 180

3x + 45 = 180

3x = 135

x = 45

3 0

3 years ago

Read 2 more answers

Use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)x−5 + 8. You may wish to grap

IrinaVladis [17]

Answer:

The Translation is 5 units to the right and 8 units up

Step-by-step explanation:

* Lets talk about some transformation

- If the function f(x) translated horizontally to the right

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

* Now lets solve the problem

∵ The parent function is y = (0.5)^x

∵ f(x) = (0.5)^x - 5 + 8 after translation

- The x in the first function is (x - 5) in the second function

∴ There is a horizontal translation to the right 5 units

- the first function is (0.5)^x in the second function y = (0.5)^x - 5 + 8

∴ There is a vertical translation up 8 units

* The Translation is 5 units to the right and 8 units up

- Look to the attached graph to more understand

- The purple graph is y = (0.5)^x

- The black graph is f(x) = (0.5)^x-5 + 8

- To check the answer take a point from the y = (0.5)^x as (0 , 1), the

image of this point on f(x) is (5 , 9)

-The point (0 , 1) is shifted 5 units to the right and 8 units up

∴ Its x- coordinate move from 0 to 5, y- coordinate move from 1 to 9

5 0

3 years ago

Read 2 more answers

"A cable TV company wants to estimate the percentage of cable boxes in use during an evening hour. An approximation is 20 percen

Marizza181 [45]

Answer:

The company should take a sample of 148 boxes.

Step-by-step explanation:

Hello!

The cable TV company whats to know what sample size to take to estimate the proportion/percentage of cable boxes in use during an evening hour.

They estimated a "pilot" proportion of p'=0.20

And using a 90% confidence level the CI should have a margin of error of 2% (0.02).

The CI for the population proportion is made using an approximation of the standard normal distribution, and its structure is "point estimation" ± "margin of error"

[p' ± $Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ ]

Where

p' is the sample proportion/point estimator of the population proportion

$Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ is the margin of error (d) of the confidence interval.

$Z_{1-\alpha /2} = Z_{1-0.05} = Z_{0.95}= 1.648$

So

$d= Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$

$d *Z_{1-\alpha /2}= \sqrt{\frac{p'(1-p')}{n} }$

$(d*Z_{1-\alpha /2})^2= \frac{p'(1-p')}{n}$

$n*(d*Z_{1-\alpha /2})^2= p'(1-p')$

$n= \frac{p'(1-p')}{(d*Z_{1-\alpha /2})^2}$

$n= \frac{0.2(1-0.2)}{(0.02*1.648)^2}$

n= 147.28 ≅ 148 boxes.

I hope it helps!

3 0

3 years ago

Ms.blankenship had 80$ she boaught 32 glue sticks and 32 boxes of crayons each glue was 1.40 and each box of crayons was 0.59 ho

Evgen [1.6K]

$10 (Teacher will purchase supplies) ... (2) bottles Elmer's Washable. Glue. (2) Elmer's Glue Sticks. (1) Expo Dry Erase marker ... 1 pk Crayola markers ... ALL, ITEMS will become ... pencil box (approx. size 5x8) ... 2 boxes of disinfectant wipes. Kindergarten - Ms. Amanda Hamilton ... Grades 3, 4, 5 - Mrs. Carol Drummond ... sticks 4 pocket folders with tabs-1 of each color (no designs) ... 1 glue stick. Art Box Ruler Colored pencils & sharpener 24 pack of crayons ... All inquiries will be responded to in a timely manner, and inquiries will be replied to via e-mail unless ...

6 0

3 years ago