Answer:
a) 2
b)
0.1353 = 13.53% probability that exactly 0 customers will arrive during a five-minute period.
0.2707 = 27.07% probability that exactly 1 customer will arrive during a five-minute period.
0.2707 = 27.07% probability that exactly 2 customers will arrive during a five-minute period.
0.1805 = 18.05% probability that exactly 3 customers will arrive during a five-minute period.
c) 0.1428 = 14.28% probability that delays will occur
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
a. What is the mean or expected number of customers that will arrive in a five-minute period?
0.4 customers per minute, so for five minutes, this is [tex]\mu = 5*0.4 = 2[/tex]
b. Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period.
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]
0.1353 = 13.53% probability that exactly 0 customers will arrive during a five-minute period.
[tex]P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707[/tex]
0.2707 = 27.07% probability that exactly 1 customer will arrive during a five-minute period.
[tex]P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707[/tex]
0.2707 = 27.07% probability that exactly 2 customers will arrive during a five-minute period.
[tex]P(X =3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1805[/tex]
0.1805 = 18.05% probability that exactly 3 customers will arrive during a five-minute period.
c. Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur?
This is:
[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]
In which:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1353 + 0.2707 + 0.2707 + 0.1805 = 0.8572[/tex]
[tex]P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8572 = 0.1428[/tex]
0.1428 = 14.28% probability that delays will occur
If you go to sleep at 8:25 p.m. and wake up at 6:15 a.m. for how long did
you sleep?
Find the volume of the solid figure shown below. The area of the base is 40 square inches, and the height of the figure is 7 inches. 280 in. 3 68 in. 3 47 in. 3 108 in. 3
Answer:
280in
Step-by-step explanation:
Answer:
280 in. ^3
Step-by-step explanation:
40 x 7
ASAP pleeeease ASAP ASAP
You are given the results of measurement of resistors. We are testing the
measurement tool. It will pass the technical control if the mean value will be
in the range [198-202] with standard deviation less than 3 Ohms. Will the tool
pass the technical control?
Answer:
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
Step-by-step explanation:
Mean:
The mean is the sum of all values divided by the number of values.
[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]
The mean is in the desired range.
Standard deviation:
The standard deviation is the square root of the sum of the difference squared between each value and the mean, divided by the number of values.
[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
Let H(x) = 5 x 2 - 10 x. Find x such that (x, - 5 ) is on the graph of H(x).
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The equation in vertex form is ...
H(x) = 5(x^2 -2x) = 5(x^2 -2x +1) -5
H(x) = 5(x -1)^2 -5
The only value of x that will make H(x) = -5, is x=1.
The graph of F(x) below resembles the graph of G(x) = x?, but it has been
changed somewhat. Which of the following could be the equation of F(x)?
Fix) =>
Gix) = x2
A. F(x) - x-2
B. F{X) = 4x2+2
C. Fx) = - - 2
D. FN-4222
Answer:
B. f(x) = 4x² + 2
Step-by-step explanation:
f(x) = 4 (x - 0)² + 2
vertex: (0 , 2) with vertical stretch
Decide whether the function is polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient.
f(x)= 9x^4 + 8x^3 - 6x^-2 + 2x
Answer:
It is not a polynomial function, because it includes a negative exponent.
Answer:
Step-by-step explanation:
Leading coefficient = 9
It is in standard form.
It is degree 4
It is a polynomial (I don't think there is a special name for degree 4). Time to eat crow. A 4th degree Polynomial is a quartic.
I didn't notice the power is -2. I am incorrect in telling you it was a polynomial (function). As I noted below, more crow to eat. Please give the Brainliest to the other responder
Asymptotes of x=3 and y=-2
Answer:
Both of these values don't have asymptotes.
Answer:
Both of these values don't have asymptotes.
Use the graph of y=f(x) in the figure to estimate:
f(0)≈
f(1)≈
f(b)≈
f(c)≈
f(d)≈
9514 1404 393
Answer:
f(0) ≈ 22f(1) = 10f(b) ≈ -8f(c) = 0f(d) 24Step-by-step explanation:
This takes graph-reading one step further. You get to estimate the y-value without benefit of minor grid lines. You must mentally divide the 10-unit distance between grid lines into equal spaces. Then estimate how many of those spaces lie between the point and the nearest grid line.
You can do this more precisely by drawing a diagonal line across the grid from one major grid intersection to one that is (5, 1) or (5, -1) major grid points away. Where that line crosses the intermediate grid lines, the vertical measure will be some multiple of 1/5 of the vertical difference between grid points. For example, a line from (0,20) to (5,30) will cross at (1,22), (2,24), (3,26), and (4,28). You can use these reference points to identify the y-values at f(0) and f(d).
Here's our eyeball estimate:
f(0) ≈ 22f(1) = 10f(b) ≈ -8f(c) = 0f(d) 24
What is the value of the expression below? 6 - 11
Answer:
[tex]{\boxed{\boxed{\tt { ᶛɲƧཡэʀ :-}}}} \ [/tex]
[tex]6 - 11 \\ = - 5[/tex]
Answer:
-5 is your answer
have a nice day
A wading pool is 2 m long and 5 m wide. If it holds 30 cubic meters of water, how deep is this wading pool?
Answer:
It would have to be 3 m deep
Step-by-step explanation:
2x5xy=30
2x5x3=30
Plz help need help help
Answer:
8,560
Step-by-step explanation:
8000 x .02 interest/year x 3.5years=560 interest earned
8000+560=8,560 investment worth after 3.5 years
Find the equation of the circle in standard form:
Answer:
(x + 5)^2 + (y + 1)^2 = 2^2
Step-by-step explanation:
I see that the instructions here call for "completing the square."
We need to rewrite x^2 + y^2 + 10x + 2y + 22 = 0 in the standard equation-of-a-circle formula (x - h)^2 + (y - k)^2 = r^2.
Start with x^2 + y^2 + 10x + 2y + 22 = 0, Group x terms together, then y terms:
x^2 + 10x + y^2 + 2y = -22
Going through the steps of completing the square, we insert additional constants:
x^2 + 10x + 25 - 25 + y^2 + 2y + 1 - 1 = -22, or
x^2 + 10x + 25 + y^2 + 2y + 1 = + 25 + 1 - 22 = 4
Rewrite x^2 + 10x + 25 as (x + 5)^2, and y^2 + 2y + 1 as (y + 1)^2
after which the original equation becomes (x + 5)^2 + (y + 1)^2 = 2^2
(10^7)^2 as a single exponent
If z is a standard normal variable, find the probability.
The probability that z is greater than -1 82
Answer:
.
Step-by-step explanation:
A new factory in a small town has an annual payroll of $ million. It is expected that of this money will be spent in the town by factory personnel. The people in this town who receive this money are expected to spend of what they receive in the town, and so on. What is the total of all this spending, called the total economic impact of the factory, on the town each year? Use the formula for the sum of an infinite geometric series.
Answer:
I would say a millions dollars!
Step-by-step explanation:
Find all values of the variable x for which the rational expression is undefined.
8x+9/x^2-13x+42
The expression is undefined when x=
Answer:
Step-by-step explanation:
8x+9/x^2-13x+42
Write 8 x as a fraction with denominator 1
8x+9/x^2-13x+42
then we multipuly 8x/1 by x^2/x^2
Solve for x x= [ ]* pls help
Multiply.
(-3+2i)(-4+4i)
Write your answer as a complex number in standard form.
Answer:
4 - 20 i
Step-by-step explanation:
you do stuff and you get 4 - 20 i
Find the volume. No links please
Answer:
72 centimeters
Step-by-step explanation:
V=bh or l*w*h
V=6*3*4 = 72 cm
Which angles are pairs of corresponding angles? Check all that apply.
1/2
4 3
516
87
9 110
12111
13/14
16/15
1 and
3
Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.
hope it helps!!
From the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7 What are Corresponding Angles?Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.
Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7
Learn more about corresponding angles on:
https://brainly.com/question/2009183
ending on your answer
What percent of the large square is shaded?
O 56%
O 5%
06%
44 %
Use linear regression to find an equation that would best predict a fair home price based on the
comps given below. Round each variable to 4 decimal places.
Answer:
y = 0.0807x - 3.4286
Step-by-step explanation:
Given the data above :
X :
1400
1700
1500
Y:
108
133
120
Using a linear regression calculator, the regression equation obtained is :
y = 0.0807x - 3.4286
Slope = 0.0807
Intercept = - 3.4286
x = predictor variable
y = predicted variable
Choose the function that shows the correct transformation of the quadratic function shifted two units to the right one
unit up.
o f(x) = (x - 2)2 - 1
O f() = (x - 2)2 + 1
o f() = (x + 2)2 - 1
o f(x) = (x + 2)2 + 1
help please mathematics!!!
Answer:
answer: 16
because 16/20 is an equivalent fraction to 4/5 hope that helps!
Select the correct answer.
Consider function g.
g(x)= 5/x-1 +2
What is the average rate of change of function gover the interval [-4,3]?
ОА. -7/2
OB. 1/2
OC. -1/2
OD. 2
Answer:
Option B
Step-by-step explanation:
Average rate of change of a function 'f' in the interval x = a and x = b is given by,
Average rate of change of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Given function is,
g(x) = [tex]\frac{5}{x-1}+2[/tex]
We have to calculate the rate of change in the interval [-4, 3],
Average rate of change = [tex]\frac{g(3)-g(-4)}{3-(-4)}[/tex]
g(3) = [tex]\frac{5}{3-1}+1[/tex]
= 2.5 + 1
= 3.5
g(-4) = [tex]\frac{5}{-4-1}+1[/tex]
= -1 + 1
= 0
Average rate of change = [tex]\frac{3.5-0}{3+4}[/tex]
= [tex]\frac{3.5}{7}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, Option B will be the answer.
Answer:
B
Step-by-step explanation:
Edmentum
For the purpose of determining the value of its end-of-year inventory, a clothing store creates a list at the end of the year of every item currently in stock along with each iter's wholesale price. Which of the
following is the best description of the end-of-the-year activity?
Answer:
A census, because the wholesale prices of all items are listed.
Step-by-step explanation:
Someone help PLEASE thanks
Answer:
Utiliza la regla
Step-by-step explanation:
Y te sacarasb10
What is the surface area of the
rectangular prism below?
To Find Surface Area:
So Surface area is found according to this equation SA=2lw+2lh+2hw
6and 1/2 times 2 is 13 that would be the 2 sides
then you do 3 times 6 1/2 which is 19 1/2, which is the top and bottom
finally you do 3 times 9 1/5 which is 27 3/5.
Now since 1/2 and 1/5 are not the same, we find the LCM or Least Common Multiple, which is 10 so 1/2 is multiplied by 5 which is 5/10 and 3/5 is multiplied by 2 which makes 6/10.
Adding 5/10 and 6/10 is 11/10 or 1 1/10
13+6+9=28
28+1 1/10 = 29 1/10
and finally because we did surface area it is 29 1/10 CM^2
__________________________________________________________
To Find Volume:
The Equation used to find volume is l*w*h
The Length is 6 1/2
Height is 9 1/5
width is 3
First, lets again convert the fractions
5/10 and 6/10
6 5/10 times 9 6/10 is 62.4
62.4 times 3 is 187.2
The .2 and be put into 2/10 or 1/5 so the FINAL answer is 187 1/5
Another way to check this is
6*9*3=162
1/5*1/2
Hope this helped :)
~Ukiahsmith1
Answer:
So Surface area is found according to this equation SA=2lw+2lh+2hwStep-by-step explanation:
ME LO RESUELVEN PORFAAAAAAAAAAAA
Answer:
A = arcTan(8/15) = 0.4900 radians = 28.07°
Step-by-step explanation:
Tan(A) = 8/15
A = arcTan(8/15) = 0.4900 radians = 28.07°
The length of a rectangle exceeds its width by
3 inches, and the area is 108 square inches.
What are the length and width of the
rectangle?
l=36in
width = 12in
there's ur answer