(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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Auntie Sammy buys a hand bag. There was a discount
of 20%.
If Auntie Sammy paid $245, what was the original price?
Answer:
Step-by-step explanation:
I think the original proce would be $265
1. Subtract the percentage discount from 100
100 - 20= 80
2. Multiply the final price($245) by 100
245 × 100= 24,500
3. Divide the answer in step 2 by the answer in Step 1
24,500 ÷ 80= $306.25
answer is $306.25
How to check to ensure your answer is correct:
1. Multiply the "answer" by the discount price divided by 100. This will give the discount percentage in dollars.
$306.25 × 0.2( which is 20÷100)= $61.25(discount in dollars)
2. Subtract the discount in dollars from the "answer"
$306.25 - $61.25= $245(final price is the same as in the problem so it is correct)
OR
1. Multiply the original price by the number you get from step 1 in your problem divided by 100
$306.25 × 0.8(80 from the very first step divided by 100)= $245(the final price is the same given in the question)
How many centimeters does it grow Bamboo grows 91 centimeters per day. per hour? (GIVING BRAINLIEST)
Answer:
3.79 centimetres
Step-by-step explanation:
1 day = 24 hours
91 ÷ 24 = 3.79 centimetres
Answer:
if the question you're asking is how many cm does bamboo grow per hour, then around 3.81 cm per hour.
NEED HELP WITH THIS QUESTION
Use the remainder theorem and synthetic division to find f(k) for the given value of k.
Answer:
3
Step-by-step explanation:
Given that,
[tex]f(x) =-x^3-8x^2-15x+3[/tex]
We need to find the value of f(x) when k = -5
Put x = -5 in th given function.
So,
[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]
Hence, the value of the given function is equal to 3.
determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 5,15,45,...
Answer:
It's geometric and common difference is 3
Step-by-step explanation:
15/5=3
45/15=3
Answer:
its geometric and the common ratio is 3
Step-by-step explanation:
Wilson Swartz rents a car for 5 days at $51.29 a day and has unlimited miles. Wilson drives 198 miles and spends $29.90 on gasoline. The CDW fee is $15.50 per day. What is the total cost? What is the cost per mile?
Answer:
Total cost=333.95
Cost per mile=6.622
Step-by-step explanation:
5x51.29=256.45
5x15.50-77.50
256.45+77.50=333.95
What is the equation of the exponential function??
Anthony's mom bought a new Prius in 2018 that cost
$28,000. She looked up the current value and saw that
it was only $22,000 after two years! She is worried
about how much her car will be worth in 3 more years.
What is the exponential equation?
1
How much will the car be worth in 3 years?
Submit
Answer:
$19500Step-by-step explanation:
Let the depreciation rate is x per year, then we have:
28000*x² = 22000x² = 22000/28000x² = 0.7857x = √0.7857 x = 0.8864Exponential function for this case is:
V(t) = 28000*0.8864^t, where V(t) - future value, t- number of yearsValue of the car after 3 years:
V(3) = 28000*0.8864^3 V(3) = 19500SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM
Answer:
It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"
Step-by-step explanation:
2.
Lisa is 1.50m tall. Sean is 35cm shorter. How tall is Sean
in metres?
Answer:
Sean is 1.15m
Step-by-step explanation:
35cm = 0.35m
Lisa is 1.5m tall and Sean is 0.35m shorter
1.5m - 0.35m = 1.15m
Sean is 1.15m
ARITHMETIC SEQUENCES, what comes next after -2/25? I will Mark you as BRAINLIEST pls help
Answer:
26/5
Step-by-step explanation:
an=a1+(n-1)d
d is common difference
so,
2/5- (-2)=12/5
putting values in above formula
=-2+(4-1)(12/5)
=-2+3(12/5)
=-2+(36/5)
=26/5
1. Kathy is building a bed for her dollhouse. She used her real bed as a guide for how to
create the dollhouse bed. Her bed is 36 inches wide and 60 inches long. If she wants
to scale this down by 1/10, what would be the dimensions of the dollhouse bed?
Explain how you got your answer.
*Use the term SCALE FACTOR in your explanation.
PLS ANSWER QUICKLY !!!
A bag contains 10 blue counting chips and 10 red counting chips. What is the probability that, without looking, Miguel will pick a blue chip first, which he will keep, and on his second draw Miguel will select a red chip?
1/10
11/21
5/38
5/19
Answer: 5/19
Step-by-step explanation:
(probability of blue chip)/(total chips) x (probability of red chip)/(new total chips)
10/20 x 10/19 = 100/380
simplify: 5/19
Complete the point-slope equation of the line through (-9,6) and (−7,−8)
y−6=
Answer:
its 9 :)
Step-by-step explanation:
hkjgh
no links please or you will be reported .
Answer:
Step-by-step explanation:
2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees. Hopefully this is correct
The Pacheco family has a monthly income of $ 7,300 . They have monthly fixed expenses of $ 3,280 . In July, they had monthly variable expenses of $ 2,620 . They have annual expenses totaling $ 14,000 . Assuming annual expenses are paid off at an equal rate monthly, what was the Pacheco’s cash flow for July?
Answer:
Positive 233
Step-by-step explanation:
7300-3280-2620-1167(14000/12)=233.
The area of parallelogram WXYZ is approximately 45 square units.
Parallelogram W X Y Z is shown. Sides W Z and X Y are congruent. The lengths of sides W X and Z Y are 10 units. Angle W Z Y is 115 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
What is the approximate perimeter of the parallelogram?
5 units
15 units
30 units
40 units
Answer:
30 units!
Step-by-step explanation:
Edge 2020, I got a 100% on the test
Answer:
30 units
Step-by-step explanation:
muah good luck guys!
Find the probability of drawing a 10 from a standard deck
of 52 cards,
Answer:
4/52 or 1/13 (simplified)
Step-by-step explanation:
There are 4 "10's" in a pack.
This means you have the chance to pick 4 10's.
So out of 52 cards, you can get 4.
4/52 -> Which can be simplified to 1/13.
This is the probability of getting a 10 (once) in a standard deck of cards.
The probability of drawing a 10 from a standard deck of 52 cards is 1/13.
Number of 10's in a standard deck of 52 cards =4
Total cards =52
What is probability?Probability is the measurement of the possibilities of events.
P(event) =Favorable outcomes/ Total possible outcomes
Here, Favorable outcomes =4
Total possible outcomes =52
P(10) =4/52
P(10) =1/13
So, the probability of drawing a 10 from a standard deck of 52 cards =1/13
Thus, the probability of drawing a 10 from a standard deck of 52 cards is 1/13
To get more about probability visit:
https://brainly.com/question/24756209
work out the value of x.
Answer:
4.8
Step-by-step explanation:
area of rectangle = lxb = 8x
area of trapezium = (a+b)h/2 = ( x+13)6 /2 = 3x + 39
Aea of whole figure = 91.8
8x + 3x+ 39 = 91.8
11x = 91.8-39
x= 52.8 /11 = 4.8
I hope im right! !t
If you know the answer your a genius at math^
Answer: I think its B
Step-by-step explanation: hoped this helped :)
A bowl contains 10 red balls and 10 blue balls.A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color?
Answer:
5 balls
Step-by-step explanation:
Sorry if it's wrong.
Convert. (13/5) into a mixed number.
Answer:
2 3/5 :)
Step-by-step explanation:
I need work shown as well
Answer:
Step-by-step explanation:
the area of the squared is 5 * 5 = 25
the area of the triangle is 1/2*base*height = 1/2*2*5= 5
the area of the circle is [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625
now add the pieces up for the total
25+5+19.625 = 49.625 [tex]in^{2}[/tex]
:)
First, find the area of the semi-circle.
A= pi*radius squared
Find your radius. The diameter is 5, half of that is 2.5
Input into the formula
A= pi*2.5^2
=3.14*6.25
=19.625 in^2
You can round that to about 19.6 inches.
Find the area of the square
A=s^2
= 5^2
= 25 in^2
Find the area of the triangle.
A= b*h/2
= 2*5/2
= 10/2
= 5 in^2
Add it all up.
19.6+ 25 + 5= 49.6
∴ 49.6 in²
Best of luck!
girl name are April, may, June, what is the name the mother?
mary is the 4th childs nam,e
Find the difference: (6a + 6) - (3x - 2) - (2a + 4)
Answer:
4 a − 3 x + 4
Step-by-step explanation:
I just simplified everything together to get this answer.
Hope that this helped! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you!
Find an equation of the line that bisects the acute angle formed by the graphs of negative 5X plus 7Y +4 equals zero and 7X minus 5Y +6 equals zero
Answer:
Step-by-step explanation:
x+ y = 0
and
-2x + 5y + 2 = 0
Step-by-step explanation:
given line
3x+5y+2=0
5x+3y-2=0
solution
when two line bisect each other then line equation of bisector is express as
1
and here
A1 = 3
B1 = 5
C1 = 2
and
A2 = 5
B2 = 3
C2 = -2
so now put value in equation 1 we get
solve it we get
-2x + 5y + 2 = 0 1
and
3x+5y+2 = - ( 5x+3y-2 )
solve it we get
8x + 8y = 0
x + y = 0 2
Answer: D -12x +12y -2 =0
Step-by-step explanation:
Edge 2021
solve (x – 5)^2 = 17
Answer:
x = 5 ± √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMultiple RootsStep-by-step explanation:
Step 1: Define
(x - 5)² = 17
Step 2: Solve for x
[Equality Property] Square root both sides: x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides: x = 5 ± √17Please help ! Please help! I will heart you !
Answer:
x = 65
Step-by-step explanation:
x + 115 = 180
x = 65
Answer:
65 degrees
Step-by-step explanation:
180-115=65 degrees
The line that 115 degrees is on is equal to 180.
What is the slope for coordinates (-1,3) (0,0) (1,-3)
Answer:
-3
Step-by-step explanation:
The slope should be -3 since the rise is -3 and the run is 1 it would be -3/1.
Please help! This is due today!
te amo vato de arriba, ojalá y algún día seas mi novio y me mandes la visa y unos cuantos dólares pa'l frí fayer y comprarme más cosas de marca :"3
en fin... nunca me vas a hacer caso :")
Find the total surface area. Round to the nearest hundredth if necessary.
Answer:
166
Step-by-step explanation:
multiply the 6 by 2 and then multiply 13 by 10
to get 166