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
How many cards are in a standard deck of cards? What are their colors?
Answer:
52 cards
Step-by-step explanation:
the colors I am not sure of thought sorry
what is 1/4 compared to 25%
Answer:
i dunno if this will help any but i think 1/4 and 25% is the same since 100/4=25
Step-by-step explanation:
if it doesn't i'm sorry for waisting ur time-
Which value of x makes the equation 9=34x true?
Select one:
x = 12
x=814
x = 6
x=634
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to. Each sample contains 65 responses, and the standard error of the mean is 44.8.
Use this information to complete the statement. Round your answer to the nearest hundredth.
The standard deviation is approximately(blank) .
Answer:
361.09
Step-by-step explanation:
Explanation:
Calculate the standard error of the mean, SE, using this formula, where is the standard deviation and n is the sample size.
For this situation, the sample size is 65, and the standard error of the mean is 44.8. Substitute these values into the formula, and solve for .
So the standard deviation is approximately 361.09.
The standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to each sample contains 65 responses, and the standard error of the mean is 44.8.
As we know,
The standard error is given by:
SE = σ/√n
SE = 44.8
n = 65
44.8 = σ/√65
44.8√65 = σ
σ = 361.09
Thus, the standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
Learn more about the standard deviation here:
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1ч (х – 2) =36 times-Ч2
Answer:
x = -7
Step-by-step explanation:
14(x - 2) = 3(-42)
14x - 28 = -126
14x = -126 + 28
14x = -98
x = -7
I need help on my tips for math could someone be nice and help
Answer:
A im pretty sure its a try it and let me know
Help
Write an equation for each line
Answer:
Yellow- y = -3 + 5
Red- y = 2x + 5
Purple- y = 2x - 6
Blue- x = 5
Green- y = 2
I hope this helps you ^^ Good luck :]
rewrite in standard form
9514 1404 393
Answer:
3x -5y = 4
Step-by-step explanation:
The coefficients are mutually prime integers in standard form. Here, a common factor of 8 can be removed from all of them. The result is ...
3x -5y = 4
Answer:
I think it's this ( 40y+32/24) {See Below For More}
Step-by-step explanation:
Move all constant terms to the right-hand-side
24x=32+40y
Move all constant terms to the right-hand-side
X= 40y+32
24
The Equation Is Solved With:
X 1 = 40y+32
24
Solution Of The Equation:
X1= 40y+32
24
Find the area of the following figure: 14ft 6ft 9ft
Step-by-step explanation:
s = a+b+c / 2
= 14+6+9 / 2
= 14.5 feet
Area = √s(s-a)(s-b)(s-c)
= √14.5×(14.5 - 14)×(14.5 - 6)×(14.5 - 9)
ANSWER: 18.410255294265 feet^2
Help please picture inserted
(1\6-1)(3-2/5)-(1/3-1/2)
Answer:
2 1/3 (simplified)
Step-by-step explanation:
(1/6 - 1) = -5/6
(1 = 6/6)
(3 - 2/5) = 2 3/5
[3= 18 (3 * 6)]
(1/3 - 1/2) = -1/6
(you can change both of the denominators to 6 by multiplying them both by 3 / 2
So the equation now is
(-5/6)(2 3/5) - (-1/6)
-5/6 * 2 3/5 = 2 1/6 (simplified)
2 1/6 - -1/6 = 2 1/3 (simplified)
A drink is made by adding water to juice.
Rana has 120ml of juice.
She adds some water.
She has now made 450ml of the drink.
Has Rana followed the instructions?
Answer:yes
Step-by-step explanation:
As the Amount is unknown Hence X = Any amount Unless the water amount is given the instructions is yes as she added 120ML Of juice into water which is currently X
how many different perfect cubes are among the positive actors of 2021^2021
Answer:
hope this helps :D
Step-by-step explanation:
Perfect cube factors:
If a number is a perfect cube, then the power of the prime factors should be divisible by 3.
Example 1:Find the number of factors of293655118 that are perfect cube?
Solution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube 4x3x2x3=72
Perfect square and perfect cube
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.
Example 2: How many factors of 293655118 are both perfect square and perfect cube?
Solution: If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are 2x2x1x2=8
Example 3: How many factors of293655118are either perfect squares or perfect cubes but not both?
Solution:
Let A denotes set of numbers, which are perfect squares.
If a number is a perfect square, then the power of the prime factors should be divisible by 2. Hence perfect square factors must have
2(0 or 2 or 4 or 6 or 8)—– 5 factors
3(0 or 2 or 4 or 6) —– 4 factors
5(0 or 2or 4 )——- 3 factors
11(0 or 2or 4 or6 or 8 )— 5 factors
Hence, the total number of factors which are perfect square i.e. n(A)=5x4x3x5=300
Let B denotes set of numbers, which are perfect cubes
If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are i.e.n(A∩B)=2x2x1x2=8
We are asked to calculate which are either perfect square or perfect cubes i.e.
n(A U B )= n(A) + n(B) – n(A∩B)
=300+72 – 8
=364
Hence required number of factors is 364.
True or false? if Matrix A is 3 X 2 and matrix B is 2 X 17 matrix, you can do A X B
A. True
B. False
which three choices are needed to create the target figure ?
Answer:
Um is there more to the question?
Step-by-step explanation:
Tatia is helping her mother make pancakes. Tatia's mother told
her to put 6 half-cups of pancake mix into the bowl. How much
pancake mix is in the bowl?
What is the value of x?
(Only type the numerical value. Do not type x= before your answer)
Answer:
Step-by-step explanation:
study lol
Teresa is a video game designer andher annual income is $134,723. Teresa must pay income tax of 6%. What is the amount of income tax in dollars and cents that Teresa pays
PLEASE HELP EASY 30 POINTS
Answer:
I want her mollah
Step-by-step explanation:
There are 16 ounces in 1 pound. Juan is mailing a package that weights 10 pounds. He wants to know the weight of the package in ounces.
Complete the sentence.''
Answer:
160 ounces
Step-by-step explanation:
Easy mental math.
16oz × 10 pounds = 160 oz
please learn your school work. I know it's boring, but this is actually stuff you'll use in the real world. this is simple 4th-6th grade work. :)
HELP THIS IS DUE TODAY. A B C or D. The table shows the relationship of how many pounds of pecans are needed to make a certain number of pies:
Number of Pies
3
6
9
Pounds of Pecans
2
4
6
Which graph below shows plots of equivalent ratios for this situation?
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 15, 10 and 30, 20 and 45, 30.
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 10, 15 and 20, 30 and 30, 45.
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 15, 10 and 25, 10 and 35, 10.
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 10, 30, and 20, 20 and 30, 10.
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
∠2=67°
Step-by-step explanation:
Angles along a straight line add up to 180. Therefore:
∠1+∠2=180
113+∠2=180
∠2=180-113
∠2=67°
THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) can u do all three of these? Pls thanks!!!! :))
Answer:
Circle 1: 37.68 ft
Circle 2: 28.26 cm
24 x 2y = 210
and
2x + 2 =22
Work out the value of x and the value of y
Answer:
2x + 2 = 22
subtract 2 from both sides
= 2x = 20
x = 10
=======
24 x 2y = 210
subtract 24 on both sides
2y = 176
y = 88
Answer:
X=20
Y=\frac{35}{8x}
Step-by-step explanation:
What is MEAN ABSOLUTE DEVIATION and how do you find it?
Step-by-step explanation:
Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.
Select all the expressions that equal 4 x 106.
(2 x 108) (2 x 10-2)
40 x 105
1.2x10°
3x102
406
400,000
The following data points represent the number of guests at Hunter’s Ribeye BBQ House each day since they opened.
96, 279, 255, 254, 75, 211, 271, 291, 102
Display the data in a histogram.
Step-by-step explanation: first one goes to 2 second one goes to 0 and third one goes to 6 I said "get help" on khan academy
The histogram for the given data is displayed below.
What is histogram?A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.
The given data is 96, 279, 255, 254, 75, 211, 271, 291, 102.
Data in order 75, 96, 102, 211, 254, 255, 271, 279, 291.
From the graph, with intervals 0-74 there are 0 observations
75-149 there are 3 observations
150-224 there is 1 observation
225-299 there are 5 observations
Therefore, the histogram for the given data is displayed below.
Learn more about the histogram here:
https://brainly.com/question/14421716.
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A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position of the Ferris wheel is level with the loading platform. The wheel completes one revolution in 8 minutes. The function, h(t), gives your height in meters above the ground t minutes after the wheel beings to turn. How high are you off the ground after 6 minutes
Answer:
height = 20.5068 m
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5 { since the wheel starts at 6 o clock }
midline C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
B = 2π/8 = π/4
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( 4.71238898) + 20.5
height = -17.5 × cos( 4.712) + 20.5
height = -17.5 × -0.00038898 + 20.5
height = 0.0068 + 20.5
height = 20.5068 m
complete the table for the equation. plz helppp
The following quadrilateral is a parallelogram. Solve for x, y, and z.
Answer:
X = 44Y = 31Z = 105Step-by-step explanation:
The measurements of a quadrilateral will add up to be 360. Additionally, we know these two triangles created within the parallelogram will be congruent, so their corresponding angles will also be congruent by CPCTC.
(44 * 2) + (105 * 2) + (31 * 2) = 360
Have a nice day, fam. Spread The Love.
NEED HELP ASAP PLEASE HELP I NEED HELP! :/
Answer:
130 square feet
Step-by-step explanation: