Answer:
a.
x $ 0 $ 50 $ 100
p (x) 25/36 5/36 6/36
b. 23.61%
c. 23.61%
Step-by-step explanation:
We have that "x" is the amount of money earned:
we have to fail twice, the probability of failure is 5/6 and the probability of hitting is 1/6, therefore if you lose the probability would be:
5/6 * 5/6 = 25/36
the one to win 50 $, would be:
1/6 * 5/6 = 5/36
and the one to win $ 100 would be:
1/6 * = 6/36
that is to say:
a.
x $ 0 $ 50 $ 100
p (x) 25/36 5/36 6/36
b. the expected amount you'll win would be:
0 * 25/36 + 50 * 5/36 + 100 * 6/36 = 23.61
c. The normal thing is to pay at least the expected amount, that is, $ 23.61, since something greater than that would already be profit.
The expected value is the sum of the product of values and their respective probabilities. Hence ;
Expected winning = $9.722 Willing amount to be paid should be any amount less than $9.722To win $100 :
P(6) × P(6) = 1/6 × 1/6 = 1/36To win $50 :
P(not 6) × P(6) = 5/6 × 1/6 = 5/36To win nothing :
P(not 6) × P(not 6) = 5/6 × 5/6 = 25/36The probability distribution table :
X : _______ $0 ______ $50 _______ $100P(X) : ____ 25/36 _____ 5/36 _______ 1/36The expected value :
E(X) = Σ[(X × P(X)]E(X) = (0 × 25/36) + (50 × 5/36) + (100 × 1/36)
E(X) = 0 + 9.7222
E(X) = 9.722
Therefore, the expected amount to be won is $9.722
Willing amount to be paid to play the game :
Any value below the expected value,
Therefore, the willing amount will be < 9.722
Learn more :https://brainly.com/question/18405415
What is the value of p in the equation 1/4(8-4p)+2p=12
Solution is 10. How?
I dont know if it helps but tell me if it does
What’s the correct answer for this?
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As the radius of the circle is 5
You need to square this value for it to fit the equation
5^2 = 25
Thus, your answer would be option B
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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Calculate the value of B in the triangle below.
Answer:
30
Step-by-step explanation:
The calculation is in the image
I WILL MARK AS BRANLIEST!
Chad is packing to go to college he packed 6 Mario games and nine brand new textbooks in a box the total weight of the box was 21 pounds realizing the box still had room and how strong he is, he put two more games in the box the new weight of the box is 22 pounds
What is the weight of one textbook and what is the weight of one game.
Answer:
0.5 pounds is one game
2 pounds is one textbook
Step-by-step explanation:
g = games
t = textbooks
Let's start with how much a game weighs. We know that when Chad added two more games the weight of the box increased by one pound (it was previously 21 pounds and then went to 22 when the two games were added). This means one game equals half of a pound (or 0.5 lbs.)...
[tex]2g = 1[/tex]
[tex]\frac{2g}{2} = \frac{1}{2}[/tex] -> if you divide one side by two, you must do the same to the other.
[tex]g = \frac{1}{2} = 0.5[/tex]
Now that we know the weight of the games, we can figure out the weight of the textbooks.
[tex]6g + 9t = 21[/tex] -> 6 games and 9 textbooks weigh 21 pounds.
Plugging in that each game is 0.5 pounds...
[tex]6(0.5) + 9t = 21[/tex]
[tex]3 + 9t = 21[/tex]
[tex]3 - 3 + 9t = 21 - 3[/tex]
[tex]9t = 18[/tex]
[tex]\frac{9t}{9} = \frac{18}{9}[/tex]
[tex]t = 2[/tex]
That means that each textbook equals 2 pounds.
I hope this helps!
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of
[tex]\pi[/tex]
Answer:
288
Step-by-step explanation:
Just took test on edg
I need help please and thank you
Answer:
A
Step-by-step explanation:
Here you can check by trying points along the number line that are not included in the other number line. For example, x = -3 is included in A but not in B and x = -5 is included in B but not in A.
If x = -3, the inequality 5x > -20 is true because -15 > -20.
If x = -5, the inequality 5x > -20 is false because -25 is not > -20.
There for the answer should include x = -3 and not include x = -5, so A.
PLEASE HELP?
The product of two rational numbers is ______ rational.
A: never
B: sometimes
C: always
Answer: C Always
Step-by-step explanation: multiply two rationals is the same as multiply two fractions which will result in another fraction
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 564 randomly selected adults showed that 56% of them would erase all of their personal information online if they could. Find the value of the test statistic.
Answer:
The value of z test statistic is 2.871.
Step-by-step explanation:
We are given that a software firm survey of 564 randomly selected adults showed that 56% of them would erase all of their personal information online if they could. Find the value of the test statistic.
Let p = population proportion of adults who would erase all of their personal information online if they could.
So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 50% {means that adults who would erase all of their personal information online if they could is less than or equal to 50%}
Alternate Hypothesis, [tex]H_A[/tex] : p > 50% {means that majority of adults would erase all of their personal information online if they could}
The test statistics that would be used here One-sample z test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of adults who would erase all of their personal information online if they could = 56%
n = sample of adults taken = 564
So, the test statistics = [tex]\frac{0.56-0.50}{\sqrt\frac{0.56(1-0.56)}{564} {} }[/tex]
= 2.871
The value of z test statistic is 2.871.
5) Two machines M1, M2 are used to manufacture resistors with a design
specification of 1000 ohm with 10% tolerance. Resistors of M1 are found to
follow normal distribution with mean 1050 ohm and standard deviation of 100
ohm, while those of M2 are found to follow normal distribution with mean 1000
ohm and standard deviation of 120 ohm. Which machine do you prefer? Why?
Answer:
Since M1 has the higher probability of being in the desired range, we choose M1.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.
So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.
For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.
M1:
Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that [tex]\mu = 1050, \sigma = 100[/tex]
The probability is the pvalue of Z when X = 1100 subtracted by the pvalue of Z when X = 900. So
X = 1100
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1100 - 1050}{100}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915.
X = 900
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{900 - 1050}{100}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
0.6915 - 0.0668 = 0.6247.
M1 has a 62.47% probability of being in the desired range.
M2:
M2 are found to follow normal distribution with mean 1000 ohm and standard deviation of 120 ohm. This means that [tex]\mu = 1000, \sigma = 120[/tex]
X = 1100
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1100 - 1000}{120}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a pvalue of 0.7967.
X = 900
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{900 - 1000}{120}[/tex]
[tex]Z = -0.83[/tex]
[tex]Z = -0.83[/tex] has a pvalue of 0.2033
0.7967 - 0.2033 = 0.5934
M2 has a 59.34% probability of being in the desired range.
Since M1 has the higher probability of being in the desired range, we choose M1.
About 10% of the population is left-handed. Use that statistic to answer the questions below.
Answer:
What is the question?
Step-by-step explanation:
if f(x) =6x-4 what is f(x) when x=8
Answer:
it's 44
Step-by-step explanation:
6(8) - 4
48 - 4
44
Please do it on a piece of paper if possible <3
What are the domain and range of g(x)=−14(x−21)2+47?
Answer:
Step-by-step explanation:
Let's solve for g.
gx=(−14(x−21))(2)+47
Step 1: Divide both sides by x.
gx
x
=
−28x+635
x
g=
−28x+635
x
Answer:
g=
−28x+635
x
what the answer please answer quick need help
Answer:
6/5 = 1 1/5
Step-by-step explanation:
3/4 ÷ 5/8
Copy dot flip
3/4 * 8/5
Rewriting
3/5 * 8/4
3/5 *2
6/5
Changing from an improper fraction to a mixed number
5/5 +1/5
1 1/5
Answer:
[tex]\frac{6}{5}[/tex] = [tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
The range of which function includes -4
Answer:
the first one
Step-by-step explanation:
Answer:
A)
Step-by-step explanation:
just took the quiz on edge
Work out the volume of this cylinder.
Give your answer rounded to the nearest whole number.
image will be provided shortly
Answer:
24618 mm^3
Step-by-step explanation:
V = pi r^2 h
We know the diameter
r = d2/ = 28/2 = 14
V = pi (14)^2 (40)
Approximating pi to 3.14
V = (3.14 ) 14^2 *40
V =24617.6
Rounding to the nearest whole number
V = 24618
pls help me with this — show work pls
Answer:
D
Step-by-step explanation:
A rectangular vegetable patch has an area of 56 square meters and a
perimeter of 30 meters. What are the dimensions of the vegetable patch?
meters by
meters
Answer:
The dimensions of the vegetable patch is 8 m by 7 m.
Step-by-step explanation:
Area of a vegetable patch is 56 square meters and the perimeter is 30 m.
If l is length and b is breadth, then area and perimeter of a rectangle is given by :
[tex]A=l\times b[/tex]
[tex]P=2(l+b)[/tex]
Substituting the values in the above formulas as :
[tex]l\times b=56\ ....(1)[/tex]
and
[tex]2(l+b)=30\\\\l+b=15\ .....(2)[/tex]
We need to solve equation (1) and (2) to find the values of l and b such that :
Equation (2), l = 15 - b
Equation (1) becomes,
[tex](15-b)b=56\\\\b=7\ m, 8\ m[/tex]
If b = 7 m, so, l = 8 m
If b = 8 m, l = 7 m
So, the dimensions of the vegetable patch is 8 m by 7 m.
1. Solve the equation for x.
6 = -8
X =
(Use the value of x in the sum )
Answer:
The equation does not have a variable
Step-by-step explanation:
6=?-8
Answer: The equation does not have a variable to solve for x
Hope this helps.
Answer:
6÷8=0.75
Step-by-step explanation:
hheks ccu h ccu se bfi s no San kfi rn ko is GB bbn 9 guy dndvidbtdjd
find the output, g, when the input, r, is 3.
g = -5r + 13
g = __
Answer:-2
Step-by-step explanation:
g=-5(3)+13
=-15+13
=-2
Hope this helps
Answer:
g = -2
Step-by-step explanation:
g = -5r + 13 Substitute 3 for r into the equation
g = -5(3) + 13 Multiply in the parentheses
g = -15 + 13 Add
g = -2
Pham can work as many or as few hours as she wants at the college bookstore for $10 per hour. But due to her hectic schedule, she has just 20 hours per week that she can spend working at either the bookstore or at other potential jobs. One potential job, at a café, will pay her $12 per hour for up to 5 hours per week. She has another job offer at a garage that will pay her $11 an hour for up to 2 hours per week. And she has a potential job at a day care center that will pay her $8.50 per hour for as many hours as she can work. If her goal is to maximize the amount of money she can make each week, how many hours will she work at the bookstore?
Answer:
16 hours per week
Step-by-step explanation:
Pham can earn TR1 = $11*16 = $176 at the college bookstore.
At a café she can earn TR2 = $12*6 = $72.
At a garage she can earn TR3 = $10*5 = $50.
At a daycare center she can earn TR4 = $8.50*16 = $136.
If her goal is to maximize the amount of money she can make each week, then she should work 16 hours per week at the bookstore to earn $176.
-stated by a math superior online
Answer:
oof
Step-by-step explanation:
.Select the three ratios that are in simplest form.
4/9
11/13
6/5
14/21
Answer:
4/9, 11/13, 6/5
Step-by-step explanation:
Puis traveled one-quarter of the journey to his destination. He still has to cover 24km to reach the third-way mark. How many kilometers does he still have to travel to reach his destination
Answer:
The distance Puis still have to travel to reach his destination is 72 km.
Step-by-step explanation:
The given parameters about Puis journey are
Distance covered by Puis = 1/4 of total distance
Distance remaining for Puis to complete the journey = 3/4 of the journey
Distance of Puis from the third-way (central) mark = 24 km
Therefore;
Distance from 1/4 of journey to 1/2 of journey = 24 km
Hence, 1/2 - 1/4 = 1/4 of the journey = 24 km
Which gives Total distance covered by Puis = 24 km
Total distance of the journey = 4 × 24 km = 96 km
The distance Puis still have to travel to reach his destination = 96 - 24 = 72 km.
1
2
Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is
true?
Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard.
3x3-9
Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard length, depth, and height
3x3-9
Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion wil
remain constant
Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3ft, 3x3ft
A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft
Helppppp
Answer:
Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.
Step-by-step expArionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.
lanation:
Answer:
The short answer you are looking for is C!
Step-by-step explanation:
I hope you all live a long prosperous life, I wish that you and your family live long and happy, I hope that you will all get through this pandemic and get good flying grades! god bless you if you read this to the end, I love you. ʕっ•ᴥ•ʔっ <3
40 POINTS URGENT PLEASE HELP
a.) $385
b.) $430
c.) $444
d.) $480
Answer:
The amount of loan ($20000) after 48 months with 1.5% (0.015) interest rate is calculated by:
A = 20000 x (1 + 0.015/12)^48
= 21235.94$
Monthly payment of Grace is calculated by:
M = A/number of month
= 21235.94/48 = 442.4 = ~444$
Hope this helps!
:)
P.S: I did try the amortization formula, but something wrong with my calculator. I used other formula instead :)
Simplify the square root of 18
Answer: [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{18}[/tex] = [tex]\sqrt{3*6}[/tex] = [tex]\sqrt{3*3*2}[/tex] = [tex]\sqrt{3^{2}*2 }[/tex] = [tex]3\sqrt{2}[/tex]
Three friends equally share 1/2 of a pizza how much of the pizza does each friend get
The answer to this problem is 1/6.
The share of the pizza each friend will have is 1 / 6.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that three friends equally share 1/2 of a pizza. The fraction of the pizza shared by each friend will be:-
Fraction of pizza = ( 1 / 2 ) x ( 1 / 3 )
Fraction of pizza = ( 1 / 6 )
Therefore, the share of the pizza each friend will have is 1 / 6.
To know more about expression follow
https://brainly.com/question/17220365
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A line passes through the point (4,-6) and has the slope of -3/4. Which is the equation of the line? y=-3/4x-3 y=-3/4x-6 y=-3x-3/4 y=-6x-3/4
Answer:
hope this helps you
Identify the most reasonable unit to measure the height of a coffe cup
Answer:
m
Step-by-step explanation:
Find the slope and y intercept of the line y= 3x-6
Answer:
slope = 3
y-int= -6
Step-by-step explanation:
y=mx+b
m: slope
b : y-int