Answer:
a=41.2
Step-by-step explanation:
a^2 + (30)^2. =51^2
a^2+900=2601
-900. -900
a^2= +\- square root 1701
a=41.243181
a=41.2
For an upcoming concert, each customer may purchase up to 3 child tickets and 3 adult tickets. Let C be the
number of child tickets purchased by a single customer. The probability distribution of the number of child
tickets purchased by a single customer is given in the table below.
Com
No
с
2
0 1
0.4 0.3
3
0.1
p(c)
0.2
(a) Compute the mean and the standard deviation of C.
(b) Suppose the mean and the standard deviation for the number of adult tickets purchased by a single customer
are 2 and 1.2, respectively. Assume that the numbers of child tickets and adult tickets purchased are
independent random variables. Compute the mean and the standard deviation of the total number of adult
and child tickets purchased by a single customer.
(c) Suppose each child ticket costs $15 and each adult ticket costs $25. Compute the mean and the standard
deviation of the total amount spent per purchase.
(a) The mean of C is 1.0 and the standard deviation is 1.0.
(b) The mean of the total number of adult and child tickets purchased is 3.0, and the standard deviation is approximately 1.56.
(c) The mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.
(a) To compute the mean of C, we multiply each value of C by its corresponding probability and sum them up:
Mean (μ) = (0 * 0.4) + (1 * 0.3) + (2 * 0.2) + (3 * 0.1) = 0 + 0.3 + 0.4 + 0.3 = 1.0
To compute the standard deviation, we first need to calculate the variance. The variance (σ²) is found by summing the squares of the differences between each value of C and the mean, weighted by their corresponding probabilities:
Variance (σ²) = [(0 - 1)² * 0.4] + [(1 - 1)² * 0.3] + [(2 - 1)² * 0.2] + [(3 - 1)² * 0.1] = 0.4 + 0 + 0.2 + 0.4 = 1.0
Finally, we take the square root of the variance to obtain the standard deviation (σ):
Standard Deviation (σ) = √(1.0) = 1.0
(b) Since the numbers of child tickets and adult tickets purchased are independent, the mean of the total number of adult and child tickets purchased is the sum of their individual means:
Mean (μ) = Mean of child tickets (μ c) + Mean of adult tickets (μ a) = 1.0 + 2 = 3.0
The variance of the total number of tickets purchased is the sum of the variances of the child and adult tickets:
Variance (σ²) = Variance of child tickets (σ c²) + Variance of adult tickets (σ a²) = 1.0 + (1.2)² = 2.44
The standard deviation of the total number of tickets purchased is the square root of the variance:
Standard Deviation (σ) = √(2.44) ≈ 1.56
(c) To compute the mean and standard deviation of the total amount spent per purchase, we need to multiply the number of child tickets and adult tickets purchased by their respective prices and sum them up.
Mean (μ) = Mean number of child tickets (μ c) * Price of child ticket + Mean number of adult tickets (μ a) * Price of adult ticket
Mean (μ) = 1.0 * $15 + 2 * $25 = $15 + $50 = $65
Variance (σ²) = Variance of child tickets (σ c²) * (Price of child ticket)² + Variance of adult tickets (σ a²) * (Price of adult ticket)²
Variance (σ²) = 1.0 * ($15)² + (1.2)² * ($25)² = $225 + $900 = $1125
Standard Deviation (σ) = √(1125) ≈ $33.54
Therefore, the mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.
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Adam thinks of a number.
He multiplies it by 8, adds 6 and then divides it by 2.
He ends up with 131.
What was the number he started with?
The number Adam started with is 32.He ends up with 131.
Let's denote the number Adam started with as "x." After multiplying by 8, we have 8x.
He adds 6 to the result.
The expression becomes 8x + 6.
He divides the result by 2.
The expression becomes (8x + 6) / 2.
The final result is 131.
Setting up the equation:
(8x + 6) / 2 = 131
To find x, we can solve this equation.
Multiplying both sides by 2:
8x + 6 = 262
Subtracting 6 from both sides:
8x = 256
Dividing both sides by 8:
x = 32
Therefore, the number Adam started with is 32.
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GUYS HELPS JUST CLICK THE IMAGE PLEASE
Answer:
a
Step-by-step explanation:
11 (4) + 33
Help pls
Answer:
11 (4) + 33
= 11 × 4 + 33
= 44 + 33
= 77
Answer:
77
Step-by-step explanation:
11(4)+33=? Multiply 11 by 4 [when a number is in parentheses it means to multiply it by the number in front of it]
44+33=77
HELP ASAP I WILL MARK BRAINLEY
What is the mean of the following data? Given the set { 8, 3, 6, 1, 79, 8, 30, 6, 71, 5, 3}
Answer:
20
Step-by-step explanation:
if we add all these numbers together we get 220
220 divided by 11 is 20
9. Ella bought a $379 tablet for 15% off. The
next day, she saw that it was marked down
an additional 20% off the sale price. How
much more money would she have saved by
waiting a day to purchase the tablet?
A. $18.95
B. $24.52
C. $48.16
D $64.43
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³Write the equivalent fraction with a denominator of 100.
What number will go in the numerator? 9/10=
1) 10
2) 50
3) 90
Answer:
90/100
Step-by-step explanation:
Hope this helps you...
Answer:
9/10 = 9×10/10×10 = 90/100
3) 90
15f=45 find the variable
g Company A and Company B both produce a part used in a 3D Printer. A random sample of 9 parts from Company A results in a sample mean equal to 128.2 ft-lbs and a sample standard deviation 17.8 ft-lbs. A random sample of 8 parts from Company B gives a sample mean equal to 138.4 ft-lbs and a sample standard deviation 14.9 ft-lbs. If you do a test of hypothesis to see if the population variances of Company A and Company B parts are equal or not, what is the numerical value of the test statistic
Answer:
The value of test statistic is F = 1.427
Step-by-step explanation:
The given data is
n1=9; s1=17.8
n2=8 s2=14.9
1) And significance level is chosen to be α = 0.05.
2) The null and alternate hypothesis are
H0: σ₁²=σ₂² against the claim Ha: σ₁²≠σ₂²
The null hypothesis the population variances of Company A and Company B parts are equal.
against the claim
the population variances are not equal of the two companies.
3) The critical region F∝(υ1,υ2) = F(0.025)8,7 > 4.9
where υ1= n1-1= 9-1= 8 and υ2= n2-1= 8-1= 7
4)Test Statistic
F = s₁²/s₂²
F= 17.8²/ 14.9²= 1.427
5) Conclusion :
As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the population variances of Company A and Company B parts are not equal. Hence Ha is rejected and H0 is accepted.
if the ball rolled 20 meters in 5 secoundes whats its speed
Answer:
4 meters/ sec
Step-by-step explanation:
20/5 = 4 Lol
Pls mark brainliest
Answer:
20/5=4m/s
Step-by-step explanation:
speed=distance/time
so speed=20/5
MATH problems. Help to solve please! Write in dm!
softwaretester answers. i am available to help you!
Difference in the 2 in 92.5 and the 4 in 8.49
Step-by-step explanation:
Raja Dilip aashram Mein Gaye
Jimmy believes that the shuffle feature on his music player is malfunctioning by not playing songs that meet this distribution of music types. To test this, he listens to 100 songs randomly chosen when his player is in shuffle mode and records the number of songs in each category. Which inference procedure should he use to test whether or not the shuffle feature is working correctly
Answer:
A chi-square goodness-of-fit test
Step-by-step explanation:
GOF test is used to determine if the data meets the expected values.
A chi-square goodness-of-fit test procedure should be used to test whether or not the shuffle feature is working correctly.
What is a distribution?
A distribution includes an algebraic function that calculates the likelihood that long-been-considered outcomes will occur. In the perspective of its population space as well as event probability, it is a schematic representation of random phenomena.
To ascertain regardless of whether the observed sample frequency deviates noticeably from those given in the null hypothesis, should use the chi-square goodness of fit test.
He notes the number of tracks in each classification after listening to 100 songs selected at random while his player is in shuffle mode. One can determine out whether the quality of fit is "good enough" and draw the conclusion that the population matches the distribution by applying the chi-square goodness of fit test.
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PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠KJL and ∠KJG
Step-by-step explanation:
What is 73 as a decimal?
Answer
Step-by-step explanation:
Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)
Answer:
(0,1)
Step-by-step explanation:
I put it in desmos :)
Answer:
0,1
Step-by-step explanation:
Sergio puts flowers in vases. He puts the same number of flowers in each
vase, as shown in the table below. How many vases does Sergio need for
112 flowers?
Answer:
Since there is so table shown here, I advice you to divide 112 with the number of flowers in each vase. Like for example lets say that the amount of flowers in each vase is 16. You would need to divide 112 and 16. Thats 7. So the "answer" would be 7. Do the same (divide 112) with the amount of flowers you have in your table.
f(x)= -2x^2+3x-7, calculate the average rate of change on the interval [1, 1+h]
Answer:
[tex]Rate = -2h-1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]Interval: [1,1+h][/tex]
Required
The average rate of change
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex][a,b] = [1,1+h][/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{1+h - 1}[/tex]
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
Calculate f(1+h) and f(1)
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]f(1) = -2 * 1^2 + 3 * 1 - 7 = -6[/tex]
[tex]f(1+h) = -2 * (1+h)^2 + 3 * (1+h) - 7[/tex]
Evaluate squares and open bracket
[tex]f(1+h) = -2 * (1+h+h+h^2) + 3+3h - 7[/tex]
[tex]f(1+h) = -2-2h-2h-2h^2 + 3+3h - 7[/tex]
[tex]f(1+h) = -2-4h-2h^2 + 3+3h - 7[/tex]
Collect like terms
[tex]f(1+h) = -2h^2-4h +3h-2+ 3 - 7[/tex]
[tex]f(1+h) = -2h^2-h-6[/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 - -6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 +6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h}{h}[/tex]
Factorize the numerator
[tex]Rate = \frac{h(-2h-1)}{h}[/tex]
Divide
[tex]Rate = -2h-1[/tex]
find the GCF
find the GCF
What are the outliers???
PLEAS HELP ASAP :)))))
Answer:
18 inches
Step-by-step explanation:
54*1/3=18(inches)
Which of the following is NOT an example of a right angle?
Ο Α.The corner of a door
O B.The corner of a book
C.The point of a pencil
D.The corner of a piece of notebook paper
Answer:
The point of a pencil
Step-by-step explanation:
all other three mesure 90 the point of pencil is not square shape in order for it to be right angle its gotta be square shape hope this helps! may i be marked brainliest?
**WILL GIVE BRAINIEST Whats the value of x
Answer:
109.899098772yd
Step-by-step explanation:
90-16=74
cos(74)=x/640
how many term of the A.P 3,6,9,12....must be taken at the least to have a sum not less than 2000?
I dont wantonly help you I just want points ahahhaahahah
if these two shapes are similar, what is the measure of the missing length X?please answer i’ve been doing IXL for 3 hours
What is the elapsed time between 10:05am 10:51am
46 minutes is the elapsed time :)
Answer:
46 minutes
Step-by-step explanation:
In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.
write the absolute value inequality in the form lx-bl c that has the solution set x<-5 or x<7
Find the missing side
Please help. The picture is above !!
Answer:
the pic is not clear to me
Step-by-step explanation:
