A pizza shop delivers an extra large pizza, which is sold for \$20$20dollar sign, 20, and costs the pizza shop \$12$12dollar sign, 12 to make. The pizza shop has a delivery policy that says if the pizza takes longer than half an hour to arrive, there is no charge. Experience has shown that delivery takes longer than half an hour only 10\%10%10, percent of the time.
Let the random variable XXX be the pizza shop's profit for a randomly selected delivery order for one of these pizzas. Here is the probability distribution for XXX:
Late On-time
X=\text{profit}X=profitX, equals, start text, p, r, o, f, i, t, end text -\$12−$12minus, dollar sign, 12 \$8$8dollar sign, 8
P(X)P(X)P, left parenthesis, X, right parenthesis 0.100.100, point, 10 0.900.900, point, 90
Given that \mu_X=\$6μ
X
=$6mu, start subscript, X, end subscript, equals, dollar sign, 6, calculate \sigma_Xσ
X
sigma, start subscript, X, end subscript.
Round your answer to two decimal places.
\sigma_X=σ
X
=sigma, start subscript, X, end subscript, equals
dollars
Answers
The standard deviation for the given probability distribution is;
σₓ = $6
Probability Distribution
The image for the probability distribution is missing and so i have attached it.
We are given;
Expected Value which is the mean as;
µₓ = $6
Now, from the probability distribution table attached, we can find the mean (expected value) of a discrete random variable X from;
Variance(X) = (-12 - 6)²(0.1) + (8 - 6)²(0.9) = 36
Thus, standard deviation of the random X is;
σₓ = √36
σₓ = $6
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Related Questions
Not if this correct????
Answers
Step-by-step explanation:
(o, -2) is the correct answer because in -90°
P [x,y] =P' [y,-x ]
hope it is helpful to you
Solve 2 1/9^x = 2/81 for x
Answers
Answer:
2
Step-by-step explanation:
Find the equation of the line which passes through (-2,-2) and (2, -4).
O A. y = -1/2 x
O B. y=-x-3
OC. y=-3x-5
OD. y = -2x – 6
O E. y = {x-3
Answers
Calculate the slopes using the change of y over the change in x
-2/2=-1
That’s the only option with a slope of -1
Can someone pls help me
Answers
Answer:
50.3 is the circumference
Step-by-step explanation:
Answer:
circumference = 50.2 in
Step-by-step explanation:
circumference = 2rπ
circumference = 8 x 2 x 3.14 = 50.24 in
Simplify (2^-6)(5)(2^3x5)^2
Answers
Answer:
-32000x^2
Step-by-step explanation:
Answer:
-32000x^2
Step-by-step explanation:
DetermIne the inverse function of f(x) = 1/3 + 6
Please show work
Answers
Answer:
f(x)⁻¹ = 3x - 18
Step-by-step explanation:
I'm going to assume that 1/3 is the coefficient of the x.
f(x) = 1/3x + 6
y = 1/3x + 6
x = 1/3y + 6
x - 6 = 1/3y
3x - 18 = y
f(x)⁻¹ = 3x - 18
PLEASE HELP !
Someone has offered you a wager on the outcome of a die roll. You will pay him
$100 for each time the standard, six-sided die lands on one, and he will pay you $30 for each time the die lands on any other number. Without your awareness, he has loaded the die so that it has a 40% change to land on the number one, and besides
that an equal change to land on any of the values 2 through 6.
What is the expected value of one round of gambling in this scenario?
-$12
-$32
$2
-$22
Answers
You'll lose on average $22 per roll.
====================================================
Explanation:
Normally there is a 1/6 chance to land on any given side of a standard die, but your friend has loaded the die in a way to make it have a 40% chance to land on "1" and an equal chance to land on anything else. Since there's a 40% chance to land on "1", this leaves 100% - 40% = 60% for everything else.
Let's define two events
A = event of landing on "1".B = event of landing on anything else (2 through 6).So far we know that P(A) = 0.40 and P(B) = 0.60; I'm using the decimal form of each percentage.
The net value of event A, which I'll denote as V(A), is -100 since you pay $100 when event A occurs. So we'll write V(A) = -100. Also, we know that V(B) = 30 and this value is positive because you receive $30 if event B occurs.
To recap things so far, we have the following:
P(A) = 0.40P(B) = 0.60V(A) = -100V(B) = 30Multiply the corresponding probability and net value items together
P(A)*V(A) = 0.40*(-100) = -40P(B)*V(B) = 0.60*30 = 18Then add up those products:
-40+18 = -22
This is the expected value, and it represents the average amount of money you earn for each dice roll. So you'll lose on average about $22. Because the expected value is not zero, this means this game is not mathematically fair.
This does not mean that any single die roll you would lose $22; instead it means that if you played the game say 1000 or 10,000 times, then averaging out the wins and losses will get you close to a loss of $22.
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
Answers
The actual area of the apartment will be 960 square feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
A blueprint shows an apartment with an area of 15 square inches.
If the blueprint's scale is 1 inch : 8 feet.
Then the scale factor will be 8/1 feet per inch.
Then the actual area square footage of the apartment will be
Actual area = 15 x (scale factor)²
Then the actual area of the footage will be
Actual area = 15 x (8/1)²
Actual area = 15 x 64
Actual area = 960 square feet
Thus, the actual area of the apartment will be 960 square feet.
More about the dilation link is given below.
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A number cube is rolled 35 times and the results are recorded in the table.A goodness-of-fit chi-square test is to be used to test the null hypothesis that the cube is fair. At a significance level of α = 0.05, what is the value of chi-square and the appropriate conclusion?
Answers
Answer:
Where's the table we can go off of??
Step-by-step explanation:
Answer:
2 = 11.2; fail to reject the null hypothesis
Step-by-step explanation:
This is the correct answer for the question I had on the segment exam. Please double-check because the conditions in your question because they might be slightly different and you may need a slightly different answer. Be careful about copying answers off of the internet and good luck!
I used the X^2GOT-Test, so you could check your answers too. For the expected occurrence 35/7 = 5.
If I spin the spinner 200 times, how many times may I expect it to land on
blue?
Answers
so you should expect it to land on blue 40 times
Select the statement that correctly describes a normal distribution.
a. It is a negatively skewed distribution, as the extreme values are less than the median.
b. It is a symmetric distribution, as the mean and the median are the same.
c. It is a positively skewed distribution, as the extreme values are greater than the median.
d. It is a uniform distribution, as all of the values have equal frequency.
Answers
Answer:
b. It is a symmetric distribution, as the mean and the median are the same.
Step-by-step explanation:
Normal distribution:
The biggest characteristic of the normal distribution is that it's symmetric, that is, 50% of the values are below the mean and 50% are above, which means that the mean is the same as the median.
This means that the correct answer is given by option b.
In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.
What is the measure of angle B?
12∘
20∘
141∘
129∘
Answers
Answer:
12°
Step-by-step explanation:
Let's start with the easy first.
We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.
Now, we can use this to find the remaining two angles.
180° - 39° = 141°
So, this means that we can set up m∠A + m∠B = 141°.
6x + 9 + x - 8 = 141
7x + 1 = 141
7x = 140
x = 20
Finally, we can plug in for our x value and find m∠B.
m∠B = x - 8
m∠B = 20 - 8
m∠B = 12°
Answer:
12
Step-by-step explanation:
Which three-dimensional shape has 5 vertices?
A. Triangular prism
B. Rectangular pyramid
C. Triangular pyramid
Answers
Answer:
C. Triangular pyramid
Four base vertices and the upper peak vertice
What’s the slope??? Pleas help!!!
Answers
Answer:
-1/3
Step-by-step explanation:
Use this equation : slope= y2-y1/x2-x1
Question 4
1 points)
The high school football game started at 7:15 P.M. and ended at 10:44 P.M. How
long did the game last?
A. O 3 hours 29 minutes
B. O 3 hours 9 minutes
C. O 2 hours 29 minutes
D. O 2 hours 9 minutes
Next >
< Back
Clear Answer
Answers
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
45 cm, 37cm, 35cm, 24cm
Answers
Answer:
5,250 cm²
Step-by-step explanation:
Surface area of triangular prism = bh + (s1 + s2 + s3)L
Where ,
b = 24 cm
h = 35 cm
s1 = 37 cm
s2 = 37 cm
s3 = 24 cm
L = 45 cm
Plug in the values
Surface area = 24*35 + (37 + 37 + 24)45
= 840 + 4,410
= 5,250 cm²
A student has been tracking his progress in French class. He notes each
grade he receives along with the date he received it. At the end of the
semester, he decides to create a data display to illustrate how his grades
have improved over time. What kind of display is his best choice?
O A. Stem-and-leaf plot
O B. Line graph
O C. Bar graph
D. Circle graph
Answers
Answer:
B) Line graph
Please help 5 points
Answers
Answer:
below
Step-by-step explanation:
Table One-
0 -0
1- .5
2- 1
3 - 1.5
Table Two-
0 - 0
1 - .25
2 - .50
3 - .75
A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.
Answers
Answer:
?
Step-by-step explanation:
the choices, the question?
A rectangle is 32 meters long and 4 meters wide. Which equation represents the area (A) of the rectangle?
A= 32 x 4
32= A x 4
32= (4x A) x 4
A=( 2x4) + (2x32)
Answers
Alex has 512 cubes, with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.
Answers
A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
Which linear inequality is represented by the graph?
Oys 2x + 4
Oyszx+ 3
O yz {x + 3
O y 2x + 3
Answers
The linear inequality that represents the graph is: [tex]y \le \frac 23x + \frac 15[/tex]
The line of the inequality passes through the points:
(0,0.2) and (3,2.2)
So, the slope of the line is:
[tex]m = \frac{2.2 - 0.2}{3 - 0}[/tex]
[tex]m = \frac{2}{3 }[/tex]
The equation is then calculated as:
[tex]y =mx + c[/tex]
Where c represents the value of y, when x = 0.
So, we have:
[tex]y =\frac 23x + 0.2[/tex]
Rewrite as:
[tex]y =\frac 23x + \frac 15[/tex]
The down region is shaded, and the line is a closed line.
So, the inequality is:
[tex]y \le \frac 23x + \frac 15[/tex]
Read more about inequalities at:
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What is factor for 7x^2-21-280
Answers
= 7x^2 + −21 + −280
Then combine like terms:
= 7x^2 + −21 + − 280
= (7x^2) + ( − 21 + − 280)
= 7x^2 + −301
2
−
2
1
−
2
8
0
7
x
2
−
21
−
280
7x2−21−280
7
2
−
3
0
1
Find the length of the third side.
Answers
I'm not sure if I did this right.
Answer:
2
Step-by-step explanation:
[tex]1^2+x^2=\sqrt{5}^2[/tex]
[tex]x^2+1=5[/tex]
[tex]x=\frac{+}{-} \sqrt{4}[/tex]
2 or -2
PLEASE HELP! I WILL GIVE BRAINLIEST!! Six less than the quotient of a number and 4 is 11. What is the number? Let n be the unknown number
Answers
Answer:
n/4-6
Step-by-step explanation:
n/4-6
This is the expression because we need to divide n by 4 and subtract 6
The number is 68
68 divided by 4= 17
17-6=11
What is the value of 12(x + 5)?
Answers
Answer:
12(x+5)=
12x+60=
12x÷12 & 60÷12
x=5
PLS ANSWER ILL GIVE BRAILIEST IF RIGHT
Answers
Answer:
Its upside down. Cant see what it says
Step-by-step explanation:
PLS HELP Find the value of x .
Answers
the answer is 6
8+10=18
12+?=18
12+6=18
Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Answers
Answer:
Plane 1: rate = 245 mph
Plane 2: rate = 98 mph
Step-by-step explanation:
Plane 2: Let r = rate
d = 5r
Plane 1: 2.5r = rate
d = 5(2.5r)
5(2.5r) - 5r = 735
12.5r - 5r = 735
7.5r = 735
r = 98
The following frequency table shows the number of children that each member of Moms Club has. Find the median number of children.
Answers
The median number of children is 3.
The given frequency table shows the number of children that each member of the Moms Club has.The number of children as given in the table is 1, 2, 3, 4, and 5.The number of members as given in the table is 1, 1, 2, 0, and 1.The median is the number that divides a data sample distribution's upper half from its lower half in statistics and probability theory. It can be regarded as the "midway" value for a set of data.The middle value of the number of children from the above given data is 3.To learn more about median, visit :
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Answer:
2 child
Step-by-step explanation:
