Answer:
32,643
Step-by-step explanation:
A phone manufacturer offers its customers two different versions of the same phone. The low storage version costs $350, and the high storage version costs $450. let X represent the manufacturer's income on a randomly chosen purchase of this phone. Based on previous data, here's the probability distribution of X along with summary statistics:
Low capacity High capacity
х income ($) 350 450
P(X) 0.65 0.35
Mean: μx=$385
Standard deviation: σx= $48
The manufacturer is considering a $25 price increase on both versions of the phone. Assume that this increase will not change the probability that corresponds to each version. Let Y represent their income on a randomly chosen purchase of this higher priced phone. What are the mean and standard deviation of Y?
Answer:
Mean = $410
Standard deviation = $48
Step-by-step explanation:
From the given information:
Low capacity High capacity
Y income ($) 350 + 25 450 + 25
= 375 = 475
P(Y) 0.65 0.35
[tex]U_Y = (375 \times 0.65) + (475 \times 0.35)[/tex]
[tex]U_Y = 243.75 + 166.25[/tex]
[tex]\mathbf{U_Y = 410}[/tex]
[tex]Var _{(Y)} = E(Y^2) - E(Y)^2[/tex]
[tex]Var _{(Y)} = \Big [(375)^2 \times 0.65 + (475)^2 \times 0.35 \Big ]- (410)^2[/tex]
[tex]Var _{(Y)} =170375 - 168100[/tex]
[tex]Var _{(Y)} = 2275[/tex]
[tex]\sigma _Y = \sqrt{Var _{(Y)}}[/tex]
[tex]\sigma _Y = \sqrt{2275}[/tex]
[tex]\mathbf{\sigma _Y \simeq 48}[/tex]
This question is based on the concept of statistics. Therefore, the mean of Y is [tex]U_y[/tex] = 410 and the standard deviation of Y is [tex]\sigma_{(Y)}[/tex] =48.
Given:
Low capacity = $350
High capacity = $450
P(X) of low capacity = 0.65
P(X) of high capacity = 0.35
Mean: μx=$385
Standard deviation: σ(x)= $48
We need to calculate the the mean and standard deviation of Y (Y represent their income on a randomly chosen purchase of this higher priced phone).
According to the question,
From the given information, it is observe that,
Low capacity High capacity
Y income ($) 350 + 25 450 + 25
= 375 = 475
P(Y) 0.65 0.35
Now, calculate the mean of Y,
[tex]U_y = (375 \times 0.65) + ( 475 \times 0.35)\\U_y = 243.75 + 166.25\\\bold{U_y = 410}[/tex]
Now, calculate the variance of Y,
[tex]Var_{(Y)} = E( Y^2) - E ( Y) ^2\\\\Var_{(Y)} = [(375)^2 \times 0.65 + (475)^2 \times 0.35] - (410)^2\\\\Var_{(Y)} = 170375 - 168100\\\\Var_{(Y)} = 2275\\[/tex]
Calculating the standard deviation of Y,
[tex]\sigma_{(Y)} = \sqrt{Var_{(Y)}} \\\\\sigma_{(Y)} = \sqrt{2275} \\\\\sigma_{(Y)} = 47.6 \approx 48[/tex]
Therefore, the mean of Y is [tex]U_y[/tex] = 410 and the standard deviation of Y is [tex]\sigma_{(Y)}[/tex] =48.
For more details, prefer this link:
https://brainly.com/question/23907081
please help asap!!!!!!
Answer:
b = 39
Step-by-step explanation:
Given that,
A rectangle STUV such that, ST = 2b-39 and VU = b
We need to find the value of b.
For a rectangle, the opposite sides are equal such that,
ST = VU
Putting all the values,
2b-39 = b
Taking like terms together,
2b-b = 39
b = 39
Hence, the value of b is 39.
Please help
I'm giving 99 points
Answer:
The box surface area is the one third of the first box she made
Step-by-step explanation:
Please help me... find the area of this shape
Answer:
16x^2
Step-by-step explanation:
what is the value of "x"?
Can someone help me with this?
Answer:
A=10 cm
B=5 cm
Area of square = 25 cm
Step-by-step explanation:
Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25
Simplify the following expressions and match them with their solution.
a. sec^2x -1
b. 1/sinx
c. sinx cotx
d. sin^2x/1+cosx
Answer:
Following are the solution to the given choices:
Step-by-step explanation:
In point a:
[tex]\to \sec^2x -1 = \tan^2 x[/tex]
In point b:
[tex]\to \frac{1}{\sin x} = cosec x[/tex]
In point c:
[tex]\to \sin x \cot x = \sin x \times \frac{\cos x}{ \sin x}\\[/tex]
[tex]= \cos x \\[/tex]
In point d:
[tex]\to \frac{\sin^2 x}{1+ \cos x} = \frac{\sin^2 x}{1+ \cos x} \times \frac{1- \cos x}{ 1- \cos x}[/tex]
[tex]= \frac{\sin^2 x (1- \cos x)}{1- \cos^2 x}\\\\= \frac{\sin^2 x (1- \cos x)}{\sin^2 x}\\\\= 1-\cos x\\[/tex]
Select all expressions that model the area of a square with a side length of a.
a2
4a
a × a
a + a + a + a
a × a × a × a
Answer:
a2
Step-by-step explanation:
Use the product rule to simplify sq root 147x^2
Answer:7x√3
Step-by-step explanation:
√147x^2
√49 (3) x^2
√7^2 ⋅ 3x^2
√7^2x^2 ⋅ 3
√(7x)^2 ⋅ 3
7x√3
Which of the following shows a reflection of the triangle over the horizontal axis?
Answer:
Either C or D
Step-by-step explanation:
Because I can only see a and b and both are wrong. Try taking a better pic then ill answer it again.
Answer:
The fourth option
Step-by-step explanation:
It reflexs accros the x axis which is horizontal
PLEASE HELP IM TIMED whats 1 divded by 1
Answer:
1
Step-by-step explanation:
1 divided by anything is that number. So with that information 1 divided by on would be 1.
If a Swoog can Swig, and a Swig can Swoog, can a Swoog Swig, a Swig Swoog?
A) Fire Truck
B) Croissant
C) Yes
D) Computerized Beard Foundation
Answer:
C. yes loll :P
Step-by-step explanation:
Hav a good day
Answer:
Yes?
Step-by-step explanation:
Bryan has a number cube and
the spinner shown. What is
the probability of rolling a
prime number and spinning
yellow?
01/12
01/8
Answer:
1/8
Step-by-step explanation:
That's the same assignment I have and you just have to think it through mate.
What is 1.8 x 2.4 Find the missing partial products PLEASE HELP!!
Answer: 4.32
Step-by-step explanation: 1.8 x 2.4 is 4.32!
0.8 x 2 = 1.6
0.4 x 0.8 = 0.32
i need help with finding area whats the area of a 3m an 7m regtangle
Answer:
34
Step-by-step explanation:
Answer:
Area of rectangle =LXB
L=7m
B=3m
so 7m multiply by 3m gives 21 so the area is 21
Help please I would appreciate it please thanks
Answer:
the roots are 5 and 1/2
Step-by-step explanation:
a = 2
b = -11
c = 5
Plug values into formula: (-b ± √b² - 4ac) ÷ 2a
the discriminant comes out to be √81
(11 + 9) / 4 = 5
(11 - 9) / 4 = 1/2
Write the phrase "the product of a number p and 5" as an expression.
An expression for the phrase is.
Step-by-step explanation:
the product of a number p and 5=p*5
p5 or 5p
hope it helps you
My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function of the number of gallons of gas in the tank?
Answer: Yes,
Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.
PLEASE HELP WITH THIS FRACTION
Answer:
2 5/18
Step-by-step explanation:
solve for x x−3/11=8
x=
How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please
Answer:
There are 8 - 1/8's in 1 (as, 8×1/8=1); and
There are 2 - 1/8's in 1/4 (as, 2×1/8=1/4).
solve for x x−3/11=8
x=
Answer:
x = 91/11
Step-by-step explanation:
1. x - 3/11 = 8
2. add 3/11 to both sides of the equation
3. x = 91/11
what is the value of x when x:3=2.13
Answer:
The other dude was wrong :( the answer is 6.39
Step-by-step explanation:
I took the test on K12
Does the decimal 12/11 terminate or repeat
Answer: 1.09090909
Step-by-step explanation:
Suppose the amount of a popular sport Drink in bottles leaving the Filling machine has a normal distribution with me 101.5 ml and standard deviation 1.6 if 36 bottles are randomly selected, find the probability that the mean is less than 102.1ml
Answer:
0.98778
Step-by-step explanation:
Given :
Mean, m = 101.5
Standard deviation, s = 1.6
Sample size, n = 36
Sample mean, x = 102.1
P(x < 102.1)
Zscore = (x - m) / s/sqrt(n)
Zscore = (102.1 - 101.5) / (1.6/√36)
Zscore = 0.6 / 0.2666666
Z = 2.25
P(Z < 2.25) = 0.98778 (Z probability calculator)
Kaleb had 136 songs on this MP3 player. If he deleted 56, what is the ratio of songs he kept to songs he deleted?
Answer:
Hi! sorry bout the other guy he did the same thing to me ive been reporting all his answers and im sorry because it sucks anyways i hink its 80
Step-by-step explanation:
what is 23 x 2 + 23 x 2 =
Answer:
92
Step-by-step explanation:
Answer:
23 x 2 + 23 x 2= 92
Step-by-step explanation:
hava gud day :P
you guys help me please
Answer:
i got the first one
plz help me rate me brainest
What is the completely factored form of this polynomial?
A + 12x2 + 32
Answer:
(x^2 + 4)(x^2 + 8)
Step-by-step explanation:
find the volume of the cylinder
give your answer to 1 decimal place
Answer: it would help if you added an image
Step-by-step explanation:
Answer:
Where is the cylinder?
Step-by-step explanation:
a florist can creat 16 bouquets of flowers during an 8-hour workday. how many bouguets can the florist creat per hour what is the unit rate
Answer:2 per hour
Step-by-step explanation:16 divided by 8 equals 2 making it 2 per hour
Answer:
A florist can create 2 bouquets of flowers per hour
Step-by-step explanation:
16/8 = 2