Step-by-step explanation:
- 35/10(2-15n/10) 145n/10 - 7 - 6n
-70/10 +35*15n/100.145n/10 -7-6n
-7 + 525n/100.145n/10 -7- 6n
-14 +5.25n .14.5n -6n
-14 +76.125n^2 -6n is final answer
Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour. Determine the following: a) Probability of no orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item a) of the question statement b) Probability of 3 or more orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item b) of the question statement c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001. Round your answer to two decimal places (e.g. 98.76).
Answer:
a) 0.39984 = 39.984% probability of no orders in five minutes.
b) 0.06563 = 6.563% probability of 3 or more orders in five minutes.
c) The length of time is 0.63 hours
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.
Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour.
This means that [tex]\mu = 11h[/tex], in which h is the number of hours.
a) Probability of no orders in five minutes.
Five minutes means that [tex]h = \frac{5}{60} = \frac{1}{12}[/tex], so [tex]\mu = \frac{11}{12} = 0.9167[/tex]
This probability is P(X = 0). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]
0.39984 = 39.984% probability of no orders in five minutes.
b) Probability of 3 or more orders in five minutes.
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]
[tex]P(X = 1) = \frac{e^{-0.9167}*(0.9167)^{1}}{(1)!} = 0.36653[/tex]
[tex]P(X = 2) = \frac{e^{-0.9167}*(0.9167)^{2}}{(2)!} = 0.168[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.39984 + 0.36653 + 0.168 = 0.93437[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.93437 = 0.06563[/tex]
0.06563 = 6.563% probability of 3 or more orders in five minutes.
c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.
This is h for which:
[tex]P(X = 0) = 0.001[/tex]
We have that:
[tex]P(X = 0) = e^{-\mu}[/tex]
And
[tex]\mu = 11h[/tex]
So
[tex]P(X = 0) = 0.001[/tex]
[tex]e^{-11h} = 0.001[/tex]
[tex]\ln{e^{-11h}} = \ln{0.001}[/tex]
[tex]-11h = \ln{0.001}[/tex]
[tex]h =-\frac{\ln{0.001}}{11}[/tex]
[tex]h = 0.63[/tex]
The length of time is 0.63 hours
Phoebe is 3 years less than half her brother’s age. Phoebe is 13 years old. Her brother is b years old. Write an equation that could be used to find her brother’s age.
plzzzzzz help
Answer:
dont know dont care
Step-by-step explanation:
u should pay more attention to what you lesson/teacher is teaching you
Dawn is baking an Apple pie she has a European recipe that calls for 1500 decigrams of sugar. how many cups of sugar will she need?
Answer:
she needs exactly 3 cups
Step-by-step explanation:
Find the equation of the line specified.
The slope is -7, and it passes through ( 5, -3).
a.
y = -7x - 3
c.
y = -14x + 32
b.
y = -7x + 32
d.
y = -7x - 38
Emma and Paul each invest $2,000 into
accounts that earn 6% interest. If Emma's
account earns simple interest and Paul's
account earns compound interest, which is the
value of each person's account after 8 years?
A. Emma - $2,960; Paul - $3,187.70
8. Emma - $960; Paul - $3,187.70
C. Emma - $2,960; Paut- $ 1,187.70
The value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
What is interest?Interest is the money you pay on top of the amount you borrow which compensates lenders for making their money available as well as the risk they take.
For the borrower, it is like a rental cost, while for the lender it is an income for lending – for risking their money and doing without it for a given period.
Given that, Emma and Paul invested $2,000 into accounts that earn 6% interest.
Emma invested in Simple interest and Paul invested in compound interest,
We need to find the amount of both after 8 years.
Formula to be used =
Simple interest = PRT / 100 [p = principal, r = rate and t = time]
Compound interest =
A = P(1+r)ⁿ [a = amount, p = principal, rate = rate, n = time]
So,
Emma's account after 8 years =
2000 × 6 × 8 / 100 + 2000 = $2960
Paul's account after 8 years =
A = 2000(1+0.06)⁸
A = $3187.7
Hence, the value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
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PLEASE HELP!
Find the area and circumference of the following. Leave in terms of pi. * 2 poir
16
Area = 100pi and Circumference = 50 pi
Area = 256pi and Circumference = 32 pi
Area = 100 pi and Circumference = 55 pi
Answer:
B. Area = 256pi & Circumference = 32pi
Step-by-step explanation:
Area = pi r^2
A = pi (16)^2
A = 256pi
Circumference = 2pi r
C = 2(pi)(16)
C = 32pi
What is the factored form of this polynomial? x2 + 5x − 36
A. (x + 4)(x + 9)
B. (x − 4)(x − 9)
C. (x − 5)(x + 8)
D. (x − 4)(x + 9)
Answer:
D. (x - 4)(x + 9)
Step-by-step explanation:
x2+5x−36
[think of numbers that add together to get 5 and multiply together to get -36!]
-4 + 9 = 5
-4 * 9 = -36
hope this helped! :]
Answer:
D: ( x - 4 ) ( x + 9 )
Step-by-step explanation:
By multipling the two friction :
x2 + 9x - 4x - 36
= x2 + 5x - 36
Fill in the blank to complete the identity.
sin x =_____(COS X)
A) sec x
B) cot x
C) tan x
D) csc x
Answer:
answer will be option c tan x
pls Mark as brainliest
A 30%tip on a $50 haircut.
Answer:
$15
Step-by-step explanation:
What is the volume of the figure?
Answer:
47.12
Step-by-step explanation:
same as the last question
HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER
Answer:
C (0,-2)
Step-by-step explanation:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.
As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading
Note that this equation is linear since all of the terms in
x and y are of degree at most 1.
What is the solution set of x2 – 10 = 30x?
{–220, 250}
{–250, 220}
{15 – StartRoot 235 EndRoot, 15 + StartRoot 235 EndRoot}
{–15 – StartRoot 235 EndRoot, –15 + StartRoot 235 EndRoot}
9514 1404 393
Answer:
(c) {15 -√235, 15 +√235}
Step-by-step explanation:
For solutions p and q, the trinomial is ...
(x -p)(x -q) = x² -(p+q)x +pq
That is, the constant term (-10) must be the product of the roots, and the x-coefficient (-30) must be the opposite of their sum.
The sums of roots in the answer choices are ...
a) 30
b) -30
c) 30
d) -30
We know the sum of roots is 30, so we can eliminate choices 'b' and 'd'.
The product of the roots must be -10, eliminating choice 'a'. Thus, the only viable choice is C.
_____
The product of the roots of C is ...
(15 -√235)(15 +√235) = 15² -235 = -10 . . . . as required
Answer:
C
Step-by-step explanation:
Does 30, 20, and 16 make a right triangle?
Answer:
no I don't think it does make a right triangle
Answer:
No i don't think it does..
Step-by-step explanation:
um trust me?
The following amount was assigned to each. A penguin was $9, an octopus was $36, and ant was $27. Based on this information, how much will be given to a pig?
Answer:
$14
Step-by-step explanation:
Answer:
Is there options because this question not that in depth
Step-by-step explanation:
example of a 400 word essay which choosing a college
A rectangular plaza measures 3/8 mile by 4/5 mile. What is its area?
Answer:
3/10
Step-by-step explanation:
then after reducing you get 3/10
The area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have a rectangular plaza that measures 3/8 mile by 4/5 mile.
Here the length L = 3/8
And width W = 4/5
Area of rectangular plaza = L×W = (3/8)×(4/5)
= 12/40 square miles or
= 0.3 square miles
Thus, the area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.
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What is the answer to this problem?
Answer:32?
Step-by-step explanation:
Help with number 3 please :)
Answer:
32
You’re... welcome?
Answer:
32
Step-by-step explanation:
The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.
(9m + 10) x2
please solve this if u do u get 30 points
Answer:
18m+20
Step-by-step explanation:
Hope this helps ya
Jimmy has 317 of feet of chord for his science experiment. James has 3/5
feet of chord for his science experiment as well. (a) How many feet of
chord do they have altogether? (b) Who has more chord, Jimmy or
James? Help please
Answer:
(a)317 and 3/5 (b) jimmy
Step-by-step explanation:
(a) 317 and 3/5 because i plus there chord both (b) no explanation cause jimmy has mire chord than james
Answer:
A.317 3/5
B.jimmy
Step-by-step explanation:
sana Po makatulong
Jim has 28 mangoes he gave Tom 8 how many does Jim has
Answer: 20 mangoes.
Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.
28 - 8 = 20
Which describes the correlation shown in the scatterplot?
Answer:2,4
Step-by-step explanation:
3.65 is greater than or less than 3and1/5
Answer:
Greater
Step-by-step explanation:
It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!
PLZ HELP!!!!! Find the slope of each line that passes through the given points. (−2, 1) and (6, −5)
Answer:
m = -3/4
Step-by-step explanation:
-5 - 1 / 6 - -2 = -6/8 = -3/4
Answer:
Step-by-step explanation:
(-5 - 1)/(6 + 2)= -6/8 = -3/4
Calculate the distance traveled when moving at a rate
of 60mph for 3.5hrs.
Sentence Answer
how did we get this answer
Answer:
dist = 60 mph * (3.5 hrs) = 210 miles
The answer is 210 Miles
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
PLS ANSWER PLS DUE TODAY
Answer:
radius of semi circle is 16mm.
diameter of semi circle is 32mm.
perimeter of triangle=sum of all sides.
perimeter of triangle = 20mm+20mm+32mm
perimeter of triangle =72mm
perimeter of semi circle=pi×r
perimeter of semicircle = 3.14×16mm
perimeter of semicircle =50.24mm
perimeter of the figure= 72mm+50.24mm=122.24mm
The drawing below shows the dimensions of Kim’s kite.
What is the are of Kim’s
kite?
F 32 square inches
G 48 square inches
H 96 square inches
J 120Square inches
it's that one
Step-by-step explanation:
okayyy so uhh
Please help meeeeeeeeeee
I hope this helped
Step-by-step explanation:
Ok
First : Find the area by using length x width x height
Second: 18in (long/length) x 12in (wide/width) 10in (high/height)
last : 18 x 12 x 10
=2,160 in/ C
whoever gets this correct first gets brainlest