1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pogonyaev
2 years ago
14

A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable

with mean 125 and standard deviation 7. His profit on each bar sold is $0.25, and it costs him $2.00 per day to maintain the machine and rent the space for it. What is the mean for Y
Mathematics
1 answer:
docker41 [41]2 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

Let Y represent the profit per day, and x represent the number of bar sold per day. Hence:

Y = 0.25x - 2

a) The mean is given as:

\mu_y=E(Y)=E(0.25X-2) = 0.25E(X)-2\\\\But\ E(X)=mean\ of\ machine=125. Hence:\\\\E(Y)=0.25(125)-2=29.25\\\\E(Y)=\$29.25

b) The standard deviation of y is:

\sigma_y=var(0.25X-2)\\\\\sigma_y=0.25\sigma(X)\\\\but\ \sigma_X=7,hence:\\\\\sigma_y=0.25(7)=1.75\\\\\sigma_y=\$1.75

You might be interested in
Use 2 points to write an equation for each function. Exponential functions.
8_murik_8 [283]
y=ma^x\\\\(0;\ 10)\to m\cdot a^0=10\to m=10\\\\y=10a^x\\\\(1;\ 20)\to 10a^1=20\ \ \ |:10\\a=2\\\\\boxed{y=20\cdot2^x}\\\\check:\\(-2;\ 2.5)\to2.5=10\cdot2^{-2}\\\\2.5=10\cdot\dfrac{1}{2^2}\\\\2.5=10\cdot\dfrac{1}{4}\\\\2.2=2.2\ correct\ :)\\\\(2;\ 40)\to40=10\cdot2^2\\\\40=10\cdot4\\\\40=40

Answer:\boxed{y=10\cdot2^x}
6 0
2 years ago
Eight times the sum of a number and 2 equals 4
Scrat [10]
8 x n + 2 = 4
If you could show me a photo I’d probably be able to help more.
5 0
2 years ago
Read 2 more answers
Maya is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She
yKpoI14uk [10]

Answer:

The kite is 73.4 feet above the ground.

Step-by-step explanation:

125 sin 34=

Cross multiply.

x=69.899112...

x=69.899112...

{Add 3.5, the distance from the ground to her hand:}

Add 3.5, the distance from the ground to her hand:

69.899112...+3.5=

73.399112...

3 0
3 years ago
Help me please!..
AlexFokin [52]

Answer:

44 times

Step-by-step explanation:

There is a 50% (2/4) chance that this could occur, as given in the question.

88*.5 = 44.

8 0
3 years ago
Below are the lengths (in minutes) of phone calls made on an 800 line to a business on one day. Fine the five-number summary for
RoseWind [281]

Answer :19

19\

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Jerome bought eight packs of baseball cards at a garage sale. Each pack had 10 cards. He gave his younger sister three cards fro
    11·1 answer
  • How do you simplify 2 sin (4theta) cos (4theta), using a double-angle formula?
    7·1 answer
  • The amount of​ carbon-14 present in animal bones after t years is given by ​P(t)equalsUpper P 0 e Superscript negative 0.00012 t
    8·1 answer
  • a square has a perimeter of 38 inches. We want to know the length of each side. choose the best model for the problem
    10·2 answers
  • Please help quick! It is due in 20 min! Please help!
    10·1 answer
  • The vertex of y=(x-4)(x+2)
    5·2 answers
  • PLEASE HELP ME! I know how to do slope. I just don't understand what they want me to do.
    10·1 answer
  • Help plzzzzzzzzzzzzzz-
    6·1 answer
  • Find the coordinates where the line x+y=3 and the curve x^2+3y=27 intersect
    15·1 answer
  • So i figured out the first but I don't know the rest please help?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!