(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.
To know more about standard deviation:
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Alicia sews costumesfor a school play.She takes an average of 86 minutes to sew each costume.How long would she take to sew 16 of these costumes
Answer:
1376 minutes
Step-by-step explanation:
Alicia sews costumes for schools
She takes 86 minutes to sew one costume
Therefore the time taken to sew 16 costumes can be calculated as follows
86 mins= 1 costume
x= 16 costume
Cross multiply
x= 86×16
= 1376 minutes
pls help me :) brainliest too!
Answer:
67 Yards
Step-by-step explanation:
Have a nice day :)
Which equation(s) represents a nonproportional relationship? Select all that apply
y=3x
y=3x-2
y= x+1
y= -4x
triangle with 30 angle 4 cm side and 6 cm side
Answer:
Step-by-step explanation:
A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2
12 snack bars together weigh 1 lb. 4 oz. If there are 16 oz. in a lb. and 453.6 g in a lb., how many grams does
each bar weigh? Round your answer to the nearest hundredth.
Answer:
567g
Step-by-step explanation:
Each bar weighs 1 lb 4 oz. Since a pound is 16 oz, 4 oz is 1/4 or .25 lb.
1.25 x 453.6
567
Each bar weighs 567g.
Your company paid a dividend of $2.00 last year. The growth rate is expected to be 4 percent for 1 year, 5 percent the next year, then 6 percent for the following year, and then the growth rate is expected to be a constant 7 percent thereafter. The required rate of return on equity (ks) is 10 percent. What is the current stock price?
Answer: Calculation of the dividends:- Year 1 = 2 * (1.04) = $ 2.08 Year 2 = 2.08 * (1.05) = $ 2.184 Year 3 = $ 2.184 * (1.06) = $ 2.31504 Year 4 = $ 2.31
Find x in each triangle.
Answer:
it is 3.4 cm
Step-by-step explanation:
by phythagorous teorm
3 square +1.6 square=x square
11.56=x square
then x =radical 11.56 =3.4 cm
Please can you help me .and give me the answer
Answer:
I believe that X=10 .
Step-by-step explanation:
Good luck ^^
Find the sides marked with letters, all lengths are given in centimeters.
Answer:
Length of side LM = 9 units
Length of side AC = 9 units
Length of side LN = 15 units
Step-by-step explanation:
Given:
In Δ LMN
Length of side LM = m
Length of side LN = a
Length of side MN = 15
In Δ ABC
Length of side AB = 6
Length of side BC = 9
Length of side AC = m
Find:
Length of all missing sides
Computation:
We know that both triangle are similar using AA rule
So,
Length of side LM / Length of side MN = Length of side AB / Length of side BC
Length of side LM / 15 = 6 / 9
Length of side LM = [6 x 15] / 9
Length of side LM = 90 / 9
Length of side LM = 9 units
Length of side LM = Length of side AC = m
Length of side AC = 9 units
Length of side MN / Length of side LN = Length of side BC / Length of side AC
15 / Length of side LN = 9 / 9
Length of side LN = 15 units
Can some person help me??????????????
Answer:
1.2d
198 donors
Step-by-step explanation:
d+0.2d=1.2d
20% more than last year= d+0.2d=1.2d
d=165
1.2(165)=198
Yes, you do get the same number with each of the expression because they are both the same exact things, except one of them has not combined like terms.
A website administrator is considering using one of the two models above to predict the total number of purchases, P, made x weeks after the website's advertisin(g campaign begins. How many more purchases are predicted by the exponential model than by the linear model 5 weeks after the advertising campaign begins?
P = 2000x
P= 500(2^x)
A. 6000
B. 8000
C. 10,000
D. 16,000
9514 1404 393
Answer:
A. 6000
Step-by-step explanation:
Use x=5 and evaluate each model.
Linear model
P = 2000(5) = 10,000
Exponential model
P = 500(2^5) = 500(32) = 16,000
The difference in the predicted value is ...
16,000 -10,000 = 6,000 . . . more are predicted by the exponential model
Dolores deposited $2500 into a savings account which interest compounded monthly at a rate of 2.12%
How much interest will they earn after 8 years? Round to the nearest dollar
Help pleaseeeeeeeeeee
Answer:
2961.63
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.12/100
r = 0.0212 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 2,500.00(1 + 0.0212/12)(12)(8)
A = 2,500.00(1 + 0.001766667)(96)
A = $2,961.63
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 2.12% per year compounded 12 times per year over 8 years is $2,961.63.
Answer:
I=$424
Step-by-step explanation:
I=PRT
I=2500×8×0.0212
I=$424
The shape shown on the coordinate plane is rotated about the y-axis.
What is the shape of the solid created by the rotation?
Answer:
Cone, radius = 4, height = 7
Step-by-step explanation:
The point (4, 0) will spin around the y-axis, forming the base of the cone. The point (0, 7) will not move--it's point of the cone.
Point G is (-8,6) Point J is a reflection of point G and is reflected across the x axis what are the coordinates of point J?
Answer:
(-8, -6)
Step-by-step explanation:
Given the Point G is (-8,6) if Point J is a reflection of point G and is reflected across the x axis, to get the coordinate of point J, we will negate the y coordinate while retaining the x coordinate value
J = (-8, -(6))
J = (-8, -6)
Hence the required coordinate of J is (-8, -6)
If y varies inversely as x and x=4 when y=16 find x when y=9
Answer:
x=3
Step-by-step explanation:
x^2=y
A certain flight transports over 1,000 passengers daily, and the airline is curious what proportion of passengers
on this flight don't use overhead bin space. They take an SRS of 40 of these passengers and find that 6 of them
don't use overhead bin space. The airline wants to use this data to create a one-sample z interval to estimate
the proportion of passengers on this flight don't use overhead bin space.
Which conditions for constructing this confidence interval did the sample meet?
Choose all answers that apply:
The data is a random sample from the population of interest.
nö > 10 and n(1-P) > 10
Individual observations can be considered independent.
Answer: The data is a random sample from the population of interest.
And
Individual observations can be considered independent.
Step-by-step explanation:
On khan academy
Use the distributive property to write an expression that is equivalent to the expression 4(12 - 3x) + 6 for all values of x.
Answer:
-12x + 54
Step-by-step explanation:
Using the distributive property, distribute 4 to the terms in the parentheses:
4(12 - 3x) + 6
Multiply 12 and -3x by 4:
48 - 12x + 6
Add like terms:
-12x + 54
So, the answer is -12x + 54
9514 1404 393
Answer:
54 -12x
Step-by-step explanation:
The factor outside parentheses multiplies each term inside.
4(12 -3x) +6 = 4(12) +4(-3x) +6
= 48 -12x +6
= 54 -12x
Cassandra earns $12.98 an hour working at Key Food. How much money will she
earn this month, if she works 36.7 hours? Round the amount of time to the
nearest hundredth. *
Answer:
12.98x36.7=476.366
A chord that is 24 cm long is 4 cm closer to the center of a circle than a chord that is 20 cm long. What is the radius of the circle?
Answer:
(mkkwkskskwkwskskwkwi
please help, i'll mark brainliest (please don't send a link)
Answer:
Greater Than -8
Step-by-step explanation:
The open circle means that it is not equal to (where a closed would be)
And the arrow is pointing to numbers that are higher than -8 :)
Answer:
Greater than of equal to -8.
So the last one.
I hope this helps :)
HELL ME PLSSSSSSS ASAP
Answer:
64 cups in 4 gallons.
Step-by-step explanation:
4 gallon = ___ cups
Firstly, there are 16 cups in a gallon. We have four gallons.
So we have to multiply the amount of cups in a gallon by the amount we have.
16x4 represents this sentence.
So, you have 64 cups in 4 gallons.
Please help!!
Dont put any link or put any random answer or you will be reported
Answer:
5
Step-by-step explanation:
3,4,4,5,5,5,5,7,7
If you cross equally on both sides them the median is 5
If f(x) = |x – 2| then find f(-3).
Answer:
5
Step-by-step explanation:
f(x) = |x – 2|
f(3) = |-3 - 2| = |-5| = 5
How do u convert kilometres into minutes
Example 0.8kilometer what till ut b in minutes woukd u times by 70
Answer:
It is not possible
Step-by-step explanation:
Given
0.8km
Required
Convert to minutes
In conversion, only units of the same metric can be converted.
i.e.
You can convert meters to miles (they both measure distance)
You can convert seconds to hours (they both measure time)
You can convert kilogram to pounds (they both measure weight)
But in the given question, you attempt to convert from distance to time.
This is not possible, because time and distance are different measurements
Jim rent a car for the weekend can choose 1 of 2 plans the first plan has $55 initial cost an additional 0.80 per mile driven The second plan has no on the song say what it cost $0.90 per mile driven how many miles would you need to drive for the two plans to cost the Same 
Solve:
23m = 18
m = ?
Answer:
m = 18/23
Step-by-step explanation:
[tex]23m=18\\\\\frac{23m=18}{23}\\\\ m=0.78260869565...\\\\\text{Exact Answer:}\\\\m=\frac{18}{23}\\\\[/tex]
Hope this helps.
someone plzz help mee!!!!
Answer:
-4 is the opposite of -1/4
The expression cube root of x^2/square root of x
can be rewritten as
I don’t know somebody help me
Answer:
C baybee
Step-by-step explanation:
they are the same angle and they are found in the inside making it alternate interior
Answer:
B
Step-by-step explanation:
A circle with center Q located at (1, 2) is drawn on the coordinate plane below.
A(3,-2)
B (2,4)
C (-2, 2)
D(-1,1)
Which point is located on the edge of the circle?
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