Answer:
0.5940 = 59.40% probability that at least two customers are there for the next hour.
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.
On average, the shoppers across McMaster Univerisity have 2 customers per hour
This means that [tex]\mu = 2[/tex]
Find the probability that at least two customers are there for the next hour.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]
[tex]P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1353 + 0.2707 = 0.4060[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4060 = 0.5940[/tex]
0.5940 = 59.40% probability that at least two customers are there for the next hour.
The tread life on tires produced at one factory has a standard deviation of sigma equals 4 comma 000 miles. What is the standard deviation of the sampling distribution of the sample means given the sample size is 4
Answer:
[tex]\sigma_x = 2000[/tex]
Step-by-step explanation:
Given
[tex]\sigma = 4000[/tex]
[tex]n = 4[/tex]
Required
The sample standard deviation
The sample standard deviation cannot be calculated directly. However, we can use the value of standard error because standard error approximates to sample standard deviation.
So, we have:
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{4000}{\sqrt 4}[/tex]
[tex]\sigma_x = \frac{4000}{2}[/tex]
[tex]\sigma_x = 2000[/tex]
Hence, the sample standard deviation is 2000
Four times the sum of 5 and some number is 4. What is the number
Answer:
n = -4
Step-by-step explanation:
1. the sum of 5 and some number translates to 5 + x.
2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).
3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4
4. Now you can solve the equation. When solved, the answer is n = -4
What is the true solution to In 20+ In 5= 2 In x?
x=5. A
X= 10 b
X=50 c
X= 100 d
ln(20) + ln(5) = 2 ln(x)
ln(20×5) = ln(x ²)
ln(100) = ln(x ²)
100 = x ²
x = 10
The path earth follows around the sun is earth's ___
A translação é o movimento que a Terra realiza em torno do Sol, sendo que ela demora 365 dias, 5 horas e 48 minutos para completá-lo. Esse movimento é o responsável direto pela existência das estações do ano. Como o eixo de inclinação do nosso planeta é de 23º27', há períodos em que os dias são maiores que as noites (solstícios de verão), períodos em que as noites são maiores que os dias (solstícios de inverno) e períodos em que eles possuem a mesma duração (equinócios de primavera e outono).
In circle S, angle QTR is an inscribed angle.
What is the measure of angle QRS?
angle QRS = 51°
Step-by-step explanation:
The diagram for the question has been attached to this response.
From the diagram, some circle theorems can be applied.
Circle theorem:
The angle subtended by an arc of a circle at the centre is twice the angle subtended by it at any other point on the remaining part of the circle.
From the diagram, QR is the arc and therefore:
∠QSR = 2 x ∠ QTR
Since ∠QTR = 39°
=> ∠QSR = 2 x 39°
=> ∠QSR = 78°
Other theorem:
(i)The base angles of an isosceles triangle are equal.
Triangle QSR is an isosceles triangle, therefore, angles SQR and QRS are equal. i.e
∠SQR = ∠QRS
(ii) The sum of angles of a triangle is 180°. i.e
∠SQR + ∠QRS + ∠QSR = 180°
Since ∠SQR = ∠QRS and ∠QSR = 78°
=> ∠QRS + ∠QRS + 78° = 180°
=> 2(∠QRS) = 180° - 78°
=> 2(∠QRS) = 102°
Divide both sides by 2
=> ∠QRS = 51°
Therefore, angle QRS = 51°
If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is
the smallest? (Assume all lengths are whole numbers.)
9514 1404 393
Answer:
largest: 1024 m²smallest: 0 m²Step-by-step explanation:
The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.
The largest enclosed area is (32 m)² = 1024 m².
__
The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.
The smallest enclosed area is (64 m)(0 m) = 0 m².
_____
"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².
5. There are 32 more pupils in the Robotics Club than in the Art club. The number of pupils
in the Robotics Club is 18 less than 3 times the number of pupils in the Art club. How
many pupils are there in the Robotics club?
what is the next numbers in the sequence 0, 5, 20, -, -,-
Answer:
51, 104, and the next number of series is 185
Step-by-step explanation:
I hope this will help u
Answer:
the next number in the sequence should be 45
please help i will mark you brainliest... A number - _________= the previous number
Answer:
1
Step-by-step explanation:
When 1 substract from any number then will get previous number.
Example:
Let any number that is 5
5-1=4
4 is the just previous number of 5
Therefore, number -1 = the previous number
Answer will be 1
i need help with this one plz! (marking BRAINLIST) :)
Answer:
Sinx = c/b
cosx = a/b
tanx = c/a
Step-by-step explanation:
B is hypotenuse, a is adjacent, c is opposite of angle x.
Sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
You decide to work out your weekly pay by using the following formula:
p = 5hr
p is weekly pay
h is hours worked
r is rate of pay per hour
This week you worked 8 hours a day, for 5 days, at an hourly rate $6.88.
How much did you earn? $
Answer:
p = 5(8)(6.88)
p = $275.20
Find the distance between A(-3, 2) and B(5, -1).
In 24.736, which digit is in the thousandths place?
Answer:
6
Step-by-step explanation:
The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.
In the decimal number 24.736, the digit which is at the thousandth place will be 6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We know that the number starts from the tenths after the decimal.
....123.456..
The expansion of the number is given as,
... + 100 + 20 + 3 + 0.4 + 0.05 + 0.006 + ......
The expansion is written in form of words. Then
Hundreds + Tens + Ones + Tenths + Hundredths, Thousandths, and so on.
In the decimal number 24.736, the digit which is at the thousandth place will be 6.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
PLEASE HELP THIS IS DUE NOW
will mark brainliest!
10 points
5x + 3y = 17
-8x - 3y = 9
Answer:
1)x=−3/5y+17/5
2)x=−3/8y+−9/8
Step-by-step explanation:
Let's solve for x.
5x+3y=17
Step 1: Add -3y to both sides.
5x+3y+−3y=17+−3y
5x=−3y+17
Step 2: Divide both sides by 5.
5x/5=−3y+17/5
x=−3/5y+17/5
Answer:
x=−3/5y+17/5
Let's solve for x.
−8x−3y=9
Step 1: Add 3y to both sides.
−8x−3y+3y=9+3y
−8x=3y+9
Step 2: Divide both sides by -8.
−8x/−8=3y+9/−8
x=−3/8y+−9/8
Answer:
x=−3/8y+−9/8
I HOPE THIS IS CORRECT IF NOT TELL ME AND ILL FIX IT.
Find the volume of the prism.
9514 1404 393
Answer:
420 mm³
Step-by-step explanation:
The volume is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
The triangular base area is given by the formula ...
A = 1/2bh
A = 1/2(10.5 mm)(10 mm) = 52.5 mm²
Then the volume of the prism is ...
V = (52.5 mm²)(8 mm) = 420 mm³
To evaluate whether or not the intake of a vitamin or mineral is adequate, comparisons are made between the intake distribution and the requirement distribution. Here is some information about the distribution of vitamin C intake, in milligrams per day, for women aged 19 to 30 years:
Percentile (mg/d)
Mean 1st 5th 19th 25th 50th 75th 90th 95th 99th
84.2 31 43 47 60 79 103 126 141 180
Use the 5th, the 50th, and the 95th percentiles of this distribution to estimate the mean (±0.01) and standard deviation (±0.01) of this distribution assuming that the distribution is Normal.
μ = _________
σ = _________
Answer:
[tex]Mean=79[/tex]
[tex]\sigma=30.3951.[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]Age Bracket :19-20[/tex]
[tex]5th\ percentile = 42[/tex]
[tex]50th\ percentile = 79[/tex]
[tex]95th\ percentile = 142.[/tex]
Generally the mean Median and mode of the 50th percentile is are all equal
[tex]Mean=Median=Mode[/tex]
Therefore
[tex]Mean=79[/tex]
Generally for Normal distribution
[tex]5th\ percentile\ = mean - 1.645*\sigma[/tex]
[tex]95th\ percentile\ = mean + 1.645*\sigma[/tex]
Therefore
[tex](95th\ percentile\ - 5th\ percentile) = 2*(1.645*SD).[/tex]
[tex]\sigma=(95th\ percentile\ - 5th\ percentile)/3.29[/tex]
[tex]\sigma=\frac{142-42}{3.29}[/tex]
[tex]\sigma=30.3951.[/tex]
Given the image below, find the area of the regular polygon. The Perimeter of the
decagon is 80 in.
12.3 in.
Answer:
try 492.43, this should be correct if I did this right
what is 300+45-9x2+22-1+2
Answer:
350
Step-by-step explanation:
Use PEMDAS.
[tex]300+45-9*2+22-1+2[/tex]
300+45-18+22-1+2
345-18+22-1+2
327+22-1+2
349-1+2
348+2
350
in a class of 30 students, 5 have a brother and 23 have a sister. there are 2 students who have a brother and a sister. what is the probability that a student has a sister also has a brother
Answer:
2/23
Hope this helps!
How would you complete the square on the left side of this equation? x^2-6x=15 A. Add 6 to both sides of the equation. B. Subtract 6 from both sides of the equation. C. Add 9 to both sides of the equation. D. Subtract 9 from both sides of the equation. Please select the best answer from the choices provided A B C D
Answer:
C. Add 9 to both sides of the equation.
Step-by-step explanation:
Given
[tex]x^2 - 6x = 15[/tex]
Required
Complete the squares
We have:
[tex]x^2 - 6x = 15[/tex]
---------------------------------------------
Take the coefficient of -6 i.e. -3
Square it (-3)^2 = 9
Add 9 to both sides
---------------------------------------------
Hence, C is correct
Which is the best estimate of 2127
Answer:
20
Step-by-step explanation:
Have a nice day :)
Is the figure line symmetric? If yes, how many lines of symmetry does the figure have?
Yes
A.No
B. Yes;3 lines of symmetry
C.Yes;6 lines of symmetry
D.Yes; 12 lines of symmetry
Please help. This is due today
Answer:
yes 6 lines are symmetry
Write 4/5 with denominator 15
Answer:
12 / 15
Step-by-step explanation:
4/5 = x /15
15 / 5 = 3
So multiply both numerator and denominator by 3
4/5 * 3/3 = 12 / 15
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
To get this fraction, we multiply top and bottom by 3
4*3 = 12
5*3 = 15
We get the value 3 through trial and error, or you can note how 15/5 = 3.
ang
Name two vertical angles, two supplementary
angles in the diagram below.
Answer:
5 and 3 is vertical. 4 and 6 are vertical. 2 and 1 are supplementary angles.
Could I get the awnser and explanation of this? Thank you!
Answer:
equation: y = 4x-12
slope: 4
y-intercept: -12
Step-by-step explanation:
3 points across an x-axis is +1 x-axis difference and +4 y-axis away from origin, so you have to subtract 3 by 1 andsubtract y by 4. until x is 0, you get -12 on y-axis
hi I need help on this
what is the slope of the line that contains the points (-1,2) and (3,3)
Answer:
B
Step-by-step explanation:
Hi there!
We are given the points (-1,2) and (3,3) and we need to find the slope.
The formula for slope calculated from two points is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points
since we have two points, we can substitute them into the formula, but let's label their values to avoid any confusion
[tex]x_{1}[/tex]=-1
[tex]y_{1}[/tex]=2
[tex]x_{2}[/tex]=3
[tex]y_{2}[/tex]=3
now substitute into the formula (m is the slope); remember: we have a negative number in this, so we'll be subtracting a negative.
m=[tex]\frac{3-2}{3--1}[/tex]
simplify
m=[tex]\frac{3-2}{3+1}[/tex]
m=[tex]\frac{1}{4}[/tex]
so B is your answer
Hope this helps! :)
The camping group has 24 ppl in all 21 out of 24 would like a s’more it takes 1 min and 30 sec to make each one if two ppl are making them at the same time how long will it take to make one for each person
Answer:
16 minute 30 seconds
Step-by-step explanation:
1 minute 30 seconds = 1.5 minutes
1.5 x 21 = 31.5 minutes
One person will make 10, one person makes 11.
11
11× 1.5 = 16.5
10× 1.5 = 15
16.5 is the answer
PLEASE ANSWER ASAP. How are direct democracy and representative democracy similar?
