Answer:
a.
E(y)=0.8
V(3y-10)=7.74
b.
The expected amount of surcharge is 117.5.
c.
The standard deviation of surcharges is 217.6723.
Step-by-step explanation:
a.
y 0 1 2 3
p(y) 0.5 0.25 0.2 0.05
y*p(y) 0 0.25 0.4 0.15
E(y)=sum(y*p(y))=0+0.25+0.4+0.15
E(y)=0.8.
y² 0 1 4 9
y²p(y) 0 0.25 0.8 0.45
V(y)=E(y²)-[E(y)]²
E(y²)=sum(y²*p(y))=0+0.25+0.8+0.45=1.5
V(y)=E(y²)-[E(y)]²
V(y)=1.5-[0.8]²
V(y)=1.5-0.64
V(y)=0.86
V(3y-10)=9V(y)=9*0.86=7.74
V(3y-10)=7.74
b.
E(95Y²-25)=95E(Y²)-25=95*1.5-25=142.5-25=117.5
E(95Y²-25)=117.5
The expected amount of surcharge is 117.5.
c.
SD(95Y²-25)=?
SD(95Y²-25)=√V(95Y²-25)
V(95Y²-25)=95²*V(Y²)
V(95Y²-25)=9025*V(Y²)
V(Y²)=E[(Y²)²]-[E(Y²)]²
y^4 0 1 16 81
y^4*p(y) 0 0.25 3.2 4.05
E[(Y²)²]=sum(y^4*p(y))=7.5
V(Y²)=E[(Y²)²]-[E(Y²)]²
V(Y²)=7.5-[1.5]²
V(Y²)=7.5-2.25
V(Y²)=5.25
V(95Y²-25)=9025*V(Y²)
V(95Y²-25)=9025*5.25
V(95Y²-25)=47381.25
SD(95Y²-25)=√47381.25
SD(95Y²-25)=217.6723
The standard deviation of surcharges is 217.6723.
Kevin spent $250 at plaza extra. this was 16 dollars less than twice what he spent at cost-u-less. how much did he spend at Cost-u-less explain and show work
Solve 6b - 1 = 2/3b + 11 for b.
Answer:
exact form B= 9/4
decimal form B= 2.25
mixed number form 2 ¼
Which expression has a positive quotient?
Answer:
where are the expressions?
Step-by-step explanation:
A customer buys 5 books at a bookstore for a total cost of $65. If all the books cost the same amount, how much does 1 book cost?
Answer:
13
Step-by-step explanation:
Cost of 5 books = $65
So, cost of 1 book = $65 ÷ 5
= $13
The cost of one book is $13.
What is unit rate?A unit rate means a rate for one of something.
Given that, A customer buys 5 books at a bookshop for a total cost of $65.
Cost of 5 books = $65
So, cost of 1 book = $65 ÷ 5
= $13
Hence, The cost of one book is $13.
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Help ( i'm real dumb ) : (
Answer:
ALICE(-3,-6) QUADRANT III
DAVE (-11,5) QUADRANT II
SASHA (12,10) QUADRANT I
MARY (8,-7) QUADRANT IV
Step-by-step explanation:
Help me out pleaseeeeeeeeee
Answer:
ANSWER IS B
Step-by-step explanation:
Answer: 1 1/5
Step-by-step explanation:
3/5x4=2 2/5
2 2/5 divided by 2
=1 1/5
someone help me.... if u guys geniussssss
Answer: For a) the Factor is (x+2) (x+1)
Step-by-step explanation: Because (x+2) multiplied by (x+1) gives you x2 + 3x +2.
I don't know your language so I don't know if that was the question or what the other questions were asking, but that's the best I can do
Which expression is equivalent to 27 + 45?
Question options:
1)
8(3 + 6)
2)
8(19 + 37)
3)
9(3 + 5)
4)
9(18 + 36)
Answer:
Step-by-step explanation:
li boa yerrmeee
The table shows the lengths of four trails at a horseback riding camp. The estimated length of all four trails is 12 miles. Find a possible length for trail D. Show your work.
Answer:
Step-by-step explanation:
2.6 plus 1.8 plus 4.2 is 8.6. subtract this from 12 to get your answer of 3.4
If the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Terms are similar, and we can perform arithmetic operations on them like addition and subtraction.
It is obtained from the table that the length of trails A, B, and C will be 2.6, 1.8, and 4.2 miles.
It is given that the estimated length of all four trails is 12 miles the length of Trail D is obtained by adding all the given lengths of the trails and subtracting it from the total length.
= 2.6 + 1.8, + 4.2 miles.
= 8.6 miles
The length of trail D is,
= 12 miles - 8.6 miles
= 3.4 miles.
Thus, if the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.
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Can you help me ??
Jon earns $13.75 per hour at his landscaping job. If the hours he works is represented by the
variable h, then which equation below could be solved to find out how many hours he must
work to earn $50
Answer:
hi
Step-by-step explanation:
how are ya
Select all of the expressions that are equal to the product of 10x9 and (60x–6)–1. Assume X ≠ 0.
Answer: a and c
Step-by-step explanation:
Answer:
A and C for edge
Step-by-step explanation:
Got it right :)
Divide. Write the quotient in lowest terms.
1
Col
What is 1/4 divided by 1 1/8
Answer:
2/9 or 0.222.
Step-by-step explanation:
A deck of cards contains 5 red cards and 3 orange cards. What is the probability that a card picked at random is red?
60% chance i think tell me if right or wrong
Kelly bought 302 sheets of stickers. Each sheet had 13 stickers. She gave away 808 stickers to her friends. How many stickers does Kelly have remaining?
Answer:
3118 stickers left
Step-by-step explanation:
302(sheets)
* 13(stickers)
3926(how many she has in total)
- 808(how many she gave away)
3118 (how may Kelly has remaining)
me me me me me me me me me me me pls
Answer:
Yes
Step-by-step explanation:
it is porportional
Answer:
yes it is proportional i agree with he or she they are correct as well
Step-by-step explanation:
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the equation. Explain each step and identify the property used to reach each step.
0.6x + 0.8 = 1.4
I need all the steps
Answer:
The steps are below. Thanks.
Step-by-step explanation:
Equation= 0.6(1)+0.8=1.4
1. Calculate the product. Any expression multiplied by 1 remains the same.
0.6×1+0.8 to 0.6+0.82. Calculate. Add the numbers.
0.6+0.8 to 1.43. Answer found!
1.4Alternative Form of the final answer 1.4 could be: 7/5 or 1 2/5.
Hope this helps and if you could mark me as brainliest. Thanks!
What is 10% of 80? Use any strategy to help you.
Answer: 8
Step-by-step explanation: Cross multiply 10% over 100 (10%/100) and x over 80 (x/80) you will get 8 as the result.
A stationer sold 1 dozen of pen at the rate of Rs.25 each and gained Rs.120 altogether.how much was the cost price of the pens
Answer:
Rs.15
Step-by-step explanation:
The stationer sold 1 dozen of pens, meaning he sold 12 pens.
He gained Rs.120, meaning he gained Rs.(120/12) = Rs.10 for each pen.
Hence, the cost price was Rs.(25 - 10)
= Rs.15
Hope this helped!
Lisa paid $43.95 for 16.1 gallons of gasoline. What was the cost per gallon rounded to the nearest hundredth?
Answer$ 2.73 per gallon
Step-by-step explanation:
Answers must be in standard form:
(K+4)(3k+2)
Answer:
3kK+2K+12k+8
Step-by-step explanation:
Answer:
k3-k4
Step-by-step explanation:
PLEASE HELP SLOVE DUE TODAY!!!
Answer:
69
Step-by-step explanation:
3
Which is the greatest fraction? Circle your answer.
3
100
3
1000
3
500
How do you know?
Answer:
3/100
Step-by-step explanation:
If the numerators are the same then the smallest denominator is the biggest fraction.
Arrange the four expressions in ascending order of their values when x = -2.
Answer:
3-1 2-4 1-3 4-2
Step-by-step explanation:
Which correctly describes how the graph of the inequality by 6y - 3x > 9 is shaded?
Above the solid line
Below the solid line
Above the dashed line
Below the dashed line
Answer:
Above the dashed line.
Step-by-step explanation:
Greater than means the colored area goes above the line. And since it is not "greater than or equal to" it is a dashed line.
Answer:
above
Step-by-step explanation:
Factor.
x² – x - 2
How to factor these numbers
Sophia is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fee to join the gym is $100 and the total cost of membership, including the joining fee, would be $300 for 5 months. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.
Answer:
40t+100
Step-by-step explanation:
The equation that represents the total cost of the gym membership over t months is C = 40t + 100.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Sophia is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member.
The one-time fee to join the gym is $100 and the total cost of membership, including the joining fee, would be $300 for 5 months
Based on the data given in the question:
The linear equation can be framed as follows:
C = 40t + 100
Here C represents the total cost of the gym membership over t months.
Thus, the equation that represents the total cost of the gym membership over t months is C = 40t + 100.
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Skylar is driving on a long road trip. She currently has 9 gallons of gas in her car. Each hour that she drives, her car uses up 1 gallon of gas. How much gas would be in the tank after driving for 5 hours? How much gas would be left after tt hours?
Answer:
4 gal after 5 hours
Step-by-step explanation:
y = 9 - x
y = 9 - 5
Y = 4
Stella graphs the equation y=13x–2 .
Select all statements about Stella's graph that are true.
a)The graph is a straight line.
b) The line passes through the origin.
c) The line passes through the point (0, −2) .
d) The slope of the line is 3.
e) The y-intercept of the line is 2.
Answer:
Option A and C are correct
Step-by-step explanation:
I took the quiz on k12
Answer:
option A and c are correct thankes to the person before me
Step-by-step explanation:
I got it right on my quiz
Suppose the radius of the cylinder is decreasing at a rate of 2 cm/sec, but the volume is constant. How fast is the height changing when the radius is 10 cm and the height is 35 cm? Include units with your answer. Hint: If the volume is constant, what do you know about the rate of change of the volume?
According to the question,
r = 10 cmh = 35 cm[tex]\frac{dr}{dt} = -2 \ cm/s[/tex]As we know the formula,
[tex]V = \pi r^2 h[/tex]then,
→ [tex]\frac{dv}{dt} = \pi [2r\frac{dr}{dt} h+ r^2 \frac{dh}{dt} ][/tex]
→ [tex]0 = \pi [2 \pi h\frac{dr}{dt} + r^2 \frac{dh}{dt} ][/tex]
By substituting the given values,
→ [tex]0 = 2\times 10\times 35\times (-2)+(10)^2\times \frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = \frac{2\times 10\times 35\times 2}{10\times 10}[/tex]
[tex]\frac{dh}{dt} = \frac{140}{10}[/tex]
[tex]\frac{dh}{dt} = 4 \ cm/s[/tex]
Thus the answer above is right.
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Samantha is making lemonade for her friends. The recipe makes 2 quarts of lemonade. Samantha says that 2 quarts will make 4 cups of lemonade, just enough for each of her friends to have one cup. Is she correct? Justify your thinking.
brainliest will be given to the first one who answers correctly please answer asap!
Answer:
Not enough info given. How many friends are there? if she has 3 friends over then yes because she will have enough lemonade for all of her friends and her to have 1 cup of lemonade. If she has more than 3 friends over, then no will not, she will have to double the recipe to assure there is enough.
Step-by-step explanation:
I hope this helps somewhat. Sorry if it's not correct