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
DO U LIKE MATHEMATICS QUESTIONS
Answer:
No lol
Step-by-step explanation:
I actually hate maths..
a band is playing a 5000 seat arena and determines that if it sells tickets for $50 each, it will only sell 2,000 tickets. at decides to sell tickets at reduced prices in order to sell more tickets, and discovers that that for each $5 it reduces prices, it will sell an additional 500 tickets. what is the optimal ticket price if the band wants to maximize the revenue from this concert?
Answer:
375,000$?
Step-by-step explanation:
Answer:
Optimal ticket price is $35
Step-by-step explanation:
$50 -> 2000 tickets => $100,000 revenue
each $5 drop in price equals 500 more tickets sold
$40 -> 3000 tickets => $120,000 revenue
$35 -> 3500 tickets => $122,500 revenue
$30 -> 4000 tickets => $120,000 revenue
$25 -> 4500 tickets => $112,500 revenue
$20 -> 5000 tickets => $100,000 revenue
Which statement about the graph of y= 3x+5 is correct?
a. The line passes through the ordered pair (3, 0) and has a slope of 5.
b. The line passes through the ordered pair (0,5) and has a slope of 3.
c. The line passes through the ordered pair (5,20) and has a slope of 5/3
d. The line passes through the ordered pair (3, 14) and has a slope of 3/5
Answer:
b. The line passes through the ordered pair (0,5) and has a slope of 3.
Step-by-step explanation:
The equation given is in slope-intercept form.
[tex]y= mx+b[/tex]
m = slope
b = y-intercept
The slope is 3 in the equation. 3 is in m's spot.
[tex]y=\boxed{m}x+b\\\\y=\boxed{3}x+b[/tex]
The y-intercept is 5. This means that the line will pass through (0,5).
[tex]y=mx+\boxed{b}\\\\y=3x+\boxed{5}[/tex]
The correct option should be B.
Hope this helps.
Miya is selling grapefruit and nuts for a fundraiser. The grapefruits cost 5 dollars each and a bag of nuts cost 15 dollars each. She sells 30 items and made 250 dollars. How many grapefruits did she sell?
Answer:
A) 5G + 15N = 250
B) G + N = 30 We'll multiply B) by -5
B) -5G -5N = -150 then we add A)
A) 5G + 15N = 250
10N = 100
N = 10 bags of nuts ($150.00)
We put N=10 into A)
A) 5G + 150 = 250
A) 5G = 100
G = 20 Grapefruits ($100.00)
Step-by-step explanation:
Simplify csc θ(1−cos^2 θ)/sinθ cos θ to a single trigonometric function
Answer:
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
Step-by-step explanation:
Step(i):-
Given that the trigonometric function
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
we know that sin²∝ + cos²∝ = 1
⇒ sin²∝ = 1- cos²∝
Now we have to simplify the given trigonometric function
= [tex]\frac{cosec\alpha(sin^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
= [tex]\frac{cosec\alpha(sin \alpha ) }{ cos\alpha }[/tex]
Step(ii)
we know that cosec∝ = 1/ sin∝
= [tex]\frac{\frac{1}{sin\alpha } (sin \alpha ) }{ cos\alpha }[/tex]
After cancellation sine function, we get
= [tex]\frac{1 }{ cos\alpha } = sec\alpha[/tex]
Final answer:-
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
find the value of m, if
(1/4)^2m × (1/4)^m = (1/4)^6
Answer:
m = 2
Step-by-step explanation:
[tex] { \bigg( \frac{1}{4} \bigg)}^{2m} \times { \bigg( \frac{1}{4} \bigg)}^{m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ { \bigg( \frac{1}{4} \bigg)}^{2m + m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ { \bigg( \frac{1}{4} \bigg)}^{3m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ \because \: bases \: are \: equal \\ \therefore \: exponents \: will \: also \: be \: equal \\ \\ \implies3m = 6 \\ \\ \implies \: m = \frac{6}{3} \\ \\ \huge \red{ \boxed{\implies \: m = 2 }}\\ [/tex]
Over the holiday break, Ms. Horton baked a ham that was 19 1/4 pounds.
By the end of the night there was 6 7/10 pounds left. How much turkey was
eaten that night?
Answer:
12 11/20
Step-by-step explanation:
the answer to the question is 12 11/20
12(x - 1) = - 4(3-X) + 8x
This equation has infinite solutions, any real number makes it true.
Sort the following expressions by rewriting tham is the table.
Answer:
Helllllllllllllllllo pls say it back or ur stupied
Step-by-step explanation:
QUICK HELP GIVING BRAINLIEST AWAY
Answer:
-6
Step-by-step explanation:
8 - 2 = 6
But, its has - in it so with that being said, its -8 minus -2 = -6
Answer:
-6
Step-by-step explanation:
hope this helps!
Which property can be used to solve the equation?
d/10 = 12
O addition property of equality
O subtraction property of equality
O multiplication property of equality
O division property of equality
Answer:
D
Step-by-step explanation:
4p + 3p = 49
solve for p
Answer:
4p + 3p = 49
p(4+3)=49
p=49/7
p=7
Step-by-step explanation:
..........
jameson runs m miles and burns c number of calories is this independent or dependent
Answer:
the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent
jason went to the store to buy a trampoline with his dad the trampoline was 60% off and they paid $90 how much did it cost without the discount
Answer:
It costed $150 dollars
Step-by-step explanation:
You divide 90 by 60 to get 1.5 then you multiply that by 100 to get 150
Triangle ABC is shown below. Which point is the coordinate of the image of
Step-by-step explanation:
there is no image how am I supposed to solve it
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps :)
write the fraction 4/12 as a division expression
Answer:
4 ÷ 12 = 0.33333333333
Step-by-step explanation:
Jada has a vegetable garden. Two-thirds of the garden is made up of tomato plants. Four-fifths of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beefsteak tomatoes?
Answer:
8/15
Step-by-step explanation:
The problem states that Jada has a vegetable garden made up of 2/3 tomato plants, of which 4/5 are beefsteak tomatoes. Therefore, to determine the portion of the garden that is made up of beefsteak tomatoes, both fractions must be unified in the same common divisor.
Thus, since the common least multiple of 3 and 5 is 15 (3 x 5), the fraction 2/3 can be calculated as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be calculated as 8/10, since the common lower multiple of 5 and 10 is exactly 10.
Therefore, 8/15 of Jada's vegetable garden are beefsteak tomatoes.
Answer:
8/15
Step-by-step explanation:
Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.
9514 1404 393
Answer:
circle of radius 27 inches
Step-by-step explanation:
Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.
The cross section is a circle of radius 27 inches.
Sarah drives her car for 2 1/2 hours with a constant speed of 60 mph. What is the distance Sarah traveled?
Answer:
Bro I gave you the answer fully explained and then some noob deleted it so Im sorry your answer is 150 miles because 60 minutes in one hour and she drove 2.5 hours which is 150 miles. Hope this helps
Step-by-step explanation:
Consider the following quadratic equation:
10x2 = -15x
i need help asap!! using standard form ax^2+bx+c=0
Plz help I really need it
Answer:
PLZ HELP I ALSO REALLY NEED HELP ON A QUESTION
Step-by-step explanation:
Rose wants to get 90% on a 40 question quiz. How many questions must she get correct?
Find the mean of 86, 87, 91, and 128
Answer:
98
Step-by-step explanation:
Answer:
296
Step-by-step explanation:
I hope this helps you out!
The surface areas of two similar containers are 1500 cm² and 375 cm². The
volume of the smaller container is 450 cm squared. What is the volume of the larger
container, to the nearest whole number?*
Answer:
1800cm^3
Step-by-step explanation:
Since you know that the containers are simular your gonna want to know the difference. so you would do 1500/375 (The two Surface areas) to get 4 which is the differnce.
The Volume now looks like x/450 - So to find x or the volume of the larger container you would multiply 450x4 which equals 1800
a contractor hired 150 men to pave a road in 30 days how many men would he hire to do the same work in 10 days
Answer:
750 men
Step-by-step explanation:
150 divided by 3 equals 5
5 times 150 equals 750
so it will take 70 men in 10 days
Find the value of x, rounded to the nearest tenth?
Answer:
Step-by-step explanation:
we can use the trigonometric function in a right triangle
cos x = adjacent side to the angle /hypothenuse
cos 36°= x/10 ; multiply both sides by 10
10 * cos 36° = x ; make sure your calculator mode is in degrees
8.1 = x
Find the missing angles of 2 questions.
Answer:
x= - 6
Step-by-step explanation:
[tex]for \: 3 \\ u = 360 - 55 - 145 - 30 - 55 = 75[/tex]
[tex]for \: 4 \\ head \: opposite \: angels \\ first \\ 360 - 130 - 130 = 100 \\100 = (2x + 56 + 56) = 2x + 112 \\ 2x = 100 - 112 = - 12 \\ x = - 6[/tex]
What is the x-coordinate of point B? Write a decimal coordinate.
ch
.
B
3
2
1 2 3 4 5 x
-5 4 3 2 1
2+
3t
PLS ANSWEE
The difference between the x-coordinate of point A and the x-coordinate of point B is -9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that,
the point B: (14,4)
and Point A: (5,4).
The x coordinate of B is 14 while that of A is 5.
so, we get,
if the difference is x units,
then it can be expressed as equation,
x = 5 - 14
now,
The difference between the x-coordinate of point A and the x-coordinate of point B is
= 5 - 14
= -9
Hence, The difference between the x-coordinate of point A and the x-coordinate of point B is -9
Find out more on equation at:
brainly.com/question/2972832
#SPJ7
Complete question:
Point B: (14,4)Point A: (5,4)What is the difference between the x-coordinate of point A and the x-coordinate of point B?
Select the correct answer. Which operation gives a result of 1.39? A. sum of 2.39 and -130 B. sum of 0.63 and 1.25 C. sum of -2.96 and 4.35 D. sum of -5.66 and 1.25
Answer:
The answer is -2.96 + 4.35
Answer:
-2.96 + 4.35
I hope this helps
Find the volume of the following cube.
A. 12 cubic yards
B. 16 cubic yards
C. 46 cubic yards
D. 64 cubic yards
Step-by-step explanation:
Volume of a cube
= (Side length of cube)³
= (4 yards)³
= 64 cubic yards. (D)
anyone a J Balvin fan :)
Answer:
He Ll nah fam
Step-by-step explanation: