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
Write the ratio 3/9 4/9 in simplest form
Answer:
3/9 is 1/3 but 4/9 is already simplified :D
if you are happy with my answer, please give brainliest :)
Step-by-step explanation:
evaluate.
[tex] - \sqrt{81} [/tex]
.......
Answer:
Step-by-step explanation:
First find factors of 81
3 81
3 27
3 9
3 3
1
81 = 3×3×3×3
81 = 3^4
Taking squareroot
∴ -√81 = -√3^4
= -3^2
= -9
Find the zeros for 2x2−24=26. What is the positive value of x?
Answer:
i think it is 12
Step-by-step explanation:
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
UT is shorter than WT, therefore you cannot use it on this triangle.
I am joyous to assist you at any time.
Where did you get the 165?
Answer:
There is not enough information to tell the answer to this problem.
Step-by-step explanation:
sorry
Answer:
Sorry but I cant solve this bc there is not enough info
Step-by-step explanation: :/
write an absolute value inequality for the graph below.
use x for your variable.
Step-by-step explanation:
The magnitude of x is equal or less than 7.
=> We have |x| <= 7.
Question 2
What is the quotient of 3/4 divided by 5/4
Answer:
3/5
Step-by-step explanation:
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Operations With Fractions
Evaluate the expression:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}[/tex]
The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}[/tex]
Simplifying:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}[/tex]
Answer: [tex]\frac{3}{5}[/tex]
Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?
Answer: 1,152 toys can be stored in the box.
Step-by-step explanation:
For an object with measures L (length) by W (width) by H (height) the volume is calculated as:
V = L*W*H
We know that the measures of each toy are: 4in x 3in x 3in
Then the volume of each toy is:
V = 4in*3in*3in = 36in^3
The toy box is 4ft x 2ft x 3 ft
First we should write the measures in the same units as before, we know that:
1ft = 12 in.
Then:
4ft = 4*12 in = 48 in
2ft = 2*12in = 24in
3ft = 3*12in = 36in
Then the measures of the box are:
48in x 24in x 36in
Then the volume of the box is:
V = 48in*24in*36in = 41,472 in^3
Now, the number of toys that can be stored in the box is the same as the number of times that 36in^3 is in 41,472 in^3
this is equal to the quotient between 41,472 in^3 and 36in^3
N = 41,472 in^3/36in^3 = 1,152
1,152 toys can be stored in the box.
Need help ASAP swill mark Brainly
Answer:
B
Step-by-step explanation:
Hope it helps!
Answer:
-1 and 1/7
Step-by-step explanation:
hope this helps! have a great day!
Find the volume of the right cylinder. Round your answer to two decimal places.
Answer:
307.88
Step-by-step explanation:
During class, students were asked to talk to their neighbor to determine whether
3/9 represents a repeating decimal or a terminating decimal. Diego told his
neighbor that 3/9 represents a terminating decimal. Is Diego correct? Explain
your reasoning in a full sentence.
Your answer
use one or more exponents to write the expression 9 x 9 x 9 x 9 x 7 x 7
Answer:
9^3 times 7^2
Step-by-step explanation:
I need help I'm in 6th grade I use to have all f but I changed it into a,b,c can someone plss help so I don't fail
Answer:
um what
Step-by-step explanation:
1/2x+3=2x is...
a)x=6
b)x=4
c)x=2
d)x=1
Lynnetta gets paid weekly for completing household chores. The amount of money she earns for doing dishes, D, is
approximately Normally distributed with a mean of $53 and a standard deviation of $3.60. The amount of money she
earns for doing laundry, L, is approximately Normally distributed with a mean of $47 and a standard deviation of
$4.10. Assume that D and L are independent random variables.
What is the probability that Lynnetta will earn more than $110 in a randomly selected week?
0.034
0.097
0.249
0.966
Answer:
its a
Step-by-step explanation:
i guessed on edge lol
which expression is equivalent to the following expression: 4.7z + 13y - 1/5 + 7
Answer:
Step-by-step explanation:
I'm not sure if you wanted the answer or not but here's the answer to that.
4.7z + 13y + 34/5
(x - 3)2 + (y + 7)2 = 121 what's the radius
Answer:
[tex]r=11[/tex]
Step-by-step explanation:
The equation of a circle is commonly denoted as:
[tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h, k)[/tex] is the center of the circle.
This equation is already written in that format, therefore:
[tex]r^2=121,\\r=\fbox{$11$}[/tex],
Find the 43rd term in the sequence: -6, -3, 0,...
Answer: 129
Step-by-step explanation: 43•3=129
I need help quick please!!!!
Answer:
1 is false
2 is blueprints
Step-by-step explanation:
Can y’all help me? I think it’s the last one but I’m not sure
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.4 millimeters (mm) and a standard deviation of 0.8 mm. For a randomly found shard, find the following probabilities.
a. the thickness is less than 3.0 mm
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm
Answer:
a) the required probability is 0.0013
b) the required probability is 0.0288
c) the required probability is 0.9759
Step-by-step explanation:
Given the data in the question;
let x be the thickness measurements
Given that X follows a Normal distribution with mean μ = 5.4
standard deviation σ = 0.8
then z = x-μ / σ = x-5.4 / 0.8 follows standard Normal
a) probability that the thickness is less than 3.0 mm
P( x<3 ) = P( x-5.4 / 0.8 < 3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013
Therefore, the required probability is 0.0013
b) the thickness is more than 7.0 mm
P( x>7 ) = P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) = P( Z > 2.00)
= 1 - P( Z ≤ 2)
= 1 - 0.9772
= 0.0288
Therefore, the required probability is 0.0288
c) the thickness is between 3.0 mm and 7.0 mm
P(3< x<7 ) = P( x<7) - P(x<3)
= P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) - P( x-5.4 / 0.8 < 3-5.4 / 0.8 )
= P( Z< 2 ) - P( Z < -3)
= 0.9772 - 0.0013
= 0.9759
Therefore, the required probability is 0.9759
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.
Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?
Answer:
1.17 x 10^2
Step-by-step explanation:
Im pretty sure its right
The diagram shows a square.
(7x + 3) cm
Find the length of the side of the square.
(5x + 8) cm
The length of each side of the square is; 20.5cm
Squares and equal sidesSince, all sides of a square have equal lengths;
We can assume that the the sides given are equal so that we have;7x +3 = 5x +8
2x = 8 -3
2x = 5
x = 5/2
x = 2.5
By substituting x into either of the expressions! we have;
7x + 37(2.5) + 3 = 17.5 + 3 = 20.5Read more on squares;
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Drag the numbers to create three ratios that are equivalent to 4:12.
Each number may be used once or not at all.
Answer:
20:60 12:36 2:6
Step-by-step explanation:
The second number is going to be 3 times as big as the first ine
If William wants to travel 450 miles in 12 hours, what constant speed (miles per hour) must he travel?
Answer: 37.5 rounded it would be 38
Step-by-step explanation:
PLEASE HELP IM BEING TIMED
Which equation results from adding the equations in this system?
-8x+8y = 8
3x-By=-18
A: 5X=-10
B: 5x = 26
C: -5X = 26
D: -5x=-10
Step-by-step explanation:
You have miscopied the second equation as it contains a third variable B when there isn't a B in the answers.
Please correct it for assistance
what is an eqivallent fraction to 4/3
Answer:
8/6
Step-by-step explanation:
That is because 8 and 6 are double than that of 4 and 3 so it is an equavalent equation.
Answer:
8/6
Step-by-step explanation:
Multiply the numerator and denominator by 2! :)
You spent 9.5 hours playing Among Us
this week. This is 2.75 hours more than the
number of hours h you played last week.
Which equation can be used to find h?
Answer:
9.5-2.75=h
Step-by-step explanation:
What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept of that line?
Answer:
y=-[tex]\frac{1}{2}[/tex]x+[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find
m=(y2-y1)/(x2-x1)
=(2-(-4))/(-2-1)
=6/-3
=-2
in this equation the slope is 2, and to find the first equation, use y=mx+b
use the point (1, -4) to find b
-4=(2)(1)+b
-4=2+b
b=-6
the first equation of the line is y=2x-6
to find the x intercept of that line substitute 0 for y
0=2x-6
2x=6
x=3
the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2
for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b
y=mx+b
0=(-1/2)(3)+b
b=3/2
thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-[tex]\frac{1}{2}[/tex]x+3/2
The equation of the line that is perpendicular to the line through (1,-4) and (-2,2) is [tex]y= \frac{1}{2}x+3[/tex]
The equation of the line perpendicular to the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:
[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]
The slope m is calculated using the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2-(-4)}{-2-1} \\\\m=\frac{6}{-3} \\\\m=-2[/tex]
For the line passing through the points (1,-4) and (-2,2), substitute m = -2, x₁ = 1, and y₁ = -4 into the equation [tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]
[tex]y-1=\frac{-1}{-2} (x-(-4))\\\\y-1=\frac{1}{2}(x+4)\\\\y=\frac{1}{2}x+2+1\\\\y= \frac{1}{2}x+3[/tex]
Learn more on equation of a line here: https://brainly.com/question/13763238