Answer:
B) 5.625 inches
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
prove that ACE and BCF are similar
Answer:
There's no such thing as BCF.
Step-by-step explanation:
[look above]
How many solutions does the equation have? 2(x+3)=2x+6
Answer:
Infinitely Many Solutions
Step-by-step explanation:
Subtract 6 from both sides of the equation
2
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
Students took a survey to determine their end of year field trip. The results showed that 120 students wanted to go to an amusement park. This number represents 40% of the students who took the survey. What was the total number of students who took the survey?
Answer:
300
Step-by-step explanation:
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.
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)
x + 3x² – 28x
Can you guys help me solve this in ax^2+bx+c
Thank you thank you
Answer:
3x²+(-27x) +0
Step-by-step explanation:
The given expression is :
x + 3x² – 28x
We need to solve this in the form of ax²+bx+c.
we can write the given expression as :
3x²-28x+x = 3x²-27x
= 3x²+(-27x) +0
If we compare the given expression with the general expression, we find that,
a = 3, b = -27 and c = 0
Hence, the required equation is 3x²+(-27x) +0.
The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.
Answer:
$ 6096
Step-by-step explanation:
Let the cost of truck = x
x+19% of x = 9068
x + 0.19x = 9068
1.19 x = 9068
[tex]x = \frac{9068}{1.19}[/tex]
x = 7620.17
Reduction = 20% of 7620.17
= 0.20 * 7620.17
= $ 1524.03
New price = 7620.17 - 1524.03
= $ 6096.14
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
A software company employs 450 workers. It plans to increase its workforce by 8 employees per month until it has doubled in size. Which equation can be used to determine m, the number of months it will take for the company’s workforce to double in size?
Answer:
Step-by-step explanation:
8m + 450 or 450 + 8m
Answer:
hope this helps below 0-0
Step-by-step explanation:
Find area of shaded. Exact answer of pi
Question 5
Evaluate:
Five cubed.
Write the numerical answer only.
Answer:
125
Step-by-step explanation:
..................
Answer:
pretty sure it's 125
Step-by-step explanation:
hope this helps!
Please help this a big part of my grade I will give brainliest o
Answer: ok what is it
Step-by-step explanation:
The graph of a proportional relationship contains the point (4, 20). What is the constant of proportionality?
Enter your answer in the box.
9514 1404 393
Answer:
5
Step-by-step explanation:
A proportional relationship has the equation ...
y = kx . . . . . . where k is the constant of proportionality
Solving this equation for k, we get ...
k = y/x
Filling in the given values (x, y) = (4, 20) gives ...
k = 20/4
k = 5
The constant of proportionality is 5.
Answer:
The answer is 1/5 = 0.2
Step-by-step explanation:
The area of the square is
3x2 - 7x + 12. The area of the
triangle is x2 - 8x + 18. Find the
area of the shaded region.
Answer:
Area = 2x² + x - 6
Step-by-step explanation:
The area of the shaded region is the square area minus the triangle area:
[tex](3 {x}^{2} - 7x + 12) - ( {x}^{2} - 8x + 18) \\ {3x}^{2} - 7x + 12 - {x}^{2} + 8x - 18 \\ {2x}^{2} + x - 6[/tex]
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).
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
simple math! i'll mark you if you get it right
Answer:
5
Step-by-step explanation:
Brainly plsss
A racetrack is in the shape of an ellipse, 180 ft long and 90 ft wide. What is the width 30 ft from a vertex?
Answer:
x
Step-by-step explanation:
If a shirt is normally priced at $40 and sold for $24, what is the discount rate
Answer:
The discount would be 40% off.
You would save $16.00
Step-by-step explanation:
May I have brainiest please I'm trying to level up!
</3 PureBeauty
A 500 foot tall building is a represented by a model that is 25 inches tall using the same scale what is the height of the model of a 360 foot tall building
Answer:
Step-by-step explanation:
500 divide by 25= 20
18÷360=20
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
Which value is a solution to the inequality x < 4
Step-by-step explanation:
What are the options to choose from?
WORTH ALOT!!! 25) A hockey player signs a contract with a starting salary of $840,000 per year and an annual increase of 6.5% beginning in the second year. What will the athlete's salary be, to the nearest dollar, in the eighth year? A) $1,303,897 B) $1,306,144 C) $1,307,827 D) $1,305,349 3
the answer is A I hope this helps
Order the expressions from the least number of terms to the greatest number of TERMS.
Answer:
3x⁹, 2x - 5(3x²), 8x + 2x/3 + 6, x + 3 - y - 6
Step-by-step explanation:
3x⁹ has one term, so it comes first. 2x - 5(3x²) has two terms, so it comes next. 8x + 2x/3 + 6 has three terms and comes next. The last one is x + 3 - y - 6 because it has four terms.
9x^2+6x factorise fully
Answer:
THX FOR THE POINT NOOB
Step-by-step explanation:
Guys I need help please actually answer and explain! Will mark brainlest!
I need the answer for part b and c of number 23.
Please help me... find the area of this shape
Answer:
16x^2
Step-by-step explanation:
what is the value of "x"?
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.