Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The expected value is given by the sum of each outcome multiplied by it's respective probability.
In this problem:
The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is [tex]\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}[/tex].The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is [tex]\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}[/tex]In the other cases, Ayo wins £1.40, with [tex]1 - \frac{18}{72} = \frac{54}{72}[/tex] probability.Hence, his expected profit for a single game is:
[tex]E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583[/tex]
For 216 games, the expected value is:
[tex]E = 216(0.2583) = 55.8[/tex]
Ayo can be expected to make a profit of £55.8.
To learn more about expected value, you can take a look at https://brainly.com/question/24855677
Four people can paint a fence in 6 hours how long would three people take to paint it?
Answer:
8 hours
Step-by-step explanation:
4 people = 6 hours
→ Work out how long 1 person takes
1 person = 24 hours
→ Work out how long 3 people takes
3 people = 8 hours
How many different terms are in the expression? 28s + 3t+ 6b + 21f
Answer:
4
Step-by-step explanation:
In math, the word difference is the result of subtracting one number from another. It refers to the difference in quantity between two numbers. In math, we get the difference between two numbers by subtracting the subtrahend (the number being subtracted) from the minuend (the number being subtracted from).
The product of b and 9 is less than or equal to 26.
Which inequality is graphed on the number line?
Express the perimeter of the following
rectangle in terms of n.
3n-7
n + 5
1. O 4n - 2
2. O 8n - 14
3. O 8n - 4
4. O 6n - 14
Answer:
8n - 4.Step-by-step explanation:
Perimeter: 2B + 2L=> 2(3n - 7) + 2(n + 5)=> 6n - 14 + 2n + 10=> 8n - 4Conclusion:
Therefore, the perimeter in terms of n is 8n - 4.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
its A
Step-by-step explanation:
Noah drove 480km in 5 hours. About how far did he drive in 2 hours?
Answer:
192km
Step-by-step explanation:
480/5 = x/2
5x = 960
/5 /5
x = 192
Answer:
If Noah's driving was at a constant rate, he drove 192 km in 2 hours
Step-by-step explanation:
In order to find the answer to this question then we can set up two equations with x meaning the km/h he is going and y as our answer.
Noah drove 480km in 5 hours can be set up as:
480 = 5x
Dividing both side by 5:
x=96
and we want to find the number of km he drove in 2 hours:
y = 2 x
because we know x=96 from the first equation
y = 196 so, therefore, Noah drove 192 km in 2 hours
8:07, 8:58, ?, 10:43, 11:37
9:51
9:50
9:53
9:49
Answer:
9:50
Step-by-step explanation:
because, 8:07 ->8:58 +51
...+52
...+53
A pattern can either follow an arithmetic sequence, a geometric sequence or a user defined sequence.
The term that completes the sequence is (d) 9:49
The sequence is given as:
8:07, 8:58, ?, 10:43, 11:37
The above sequence follows an arithmetic sequence, and the common difference (d) is calculated using:
d = 8:58 - 8:07
This gives
d = 51 seconds
The missing term (which is the third term) is then calculated using:
T3 = 8:58 + 51 seconds
This gives
T3 = 9:49
Hence, the term that completes the sequence is (d) 9:49
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
Help Plssss it is due tommorrow!!!!! I think it is A i am not sure help
Answer: congruent bases
Step-by-step explanation:
what makes a trapezoid a trapezoid is that the bases are different! the side on top and bottom are different.
Find the value of theta, to the nearest hundredth if cos they have is -0.7 and theta is in quadrant 2
Step-by-step explanation:
if I understand you correctly, then
cos(theta) = -0.7
then Theta = 134.427004...°
and that is rounded 134.43°
Need help on HS geometry
Answer:
RS = 46 , RT = 38
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then
RS = 2 × UW = 2 × 23 = 46
RT = 2 × VW = 2 × 19 = 38
Choose the true statements.
O
A linear function is expressed by a graph of a line that
crosses both axes at the origin. An equation is written in
slope-intercept form to express the same function as
shown in the graph. From just this information, what
statements can be made?
The slope of the equation must be positive.
The y-intercept of the equation is zero.
It is possible that the line on the graph is horizontal.
The slope of the equation must be negative.
Answer:
The y-intercept must be zero.
It is possible that the line is horizontal.
Step-by-step explanation:
The description states that the line "crosses both axes at the origin." That would mean that the point (0,0) is on the graph. The y-intercept is the value of y when x=0. We see that it is zero in this case (0,0).
The description says nothing about the slope. So it could be either positive or negative. But it could also mean that the slope is zero. A zero slope would be a horizontal line. So that is a second statement that is true: "It is possible that the line on the graph is horizontal."
Answer:
its b and c
Step-by-step explanation:
Which expression shows a way to factor 20+24?
Answer:
20+24= 2(10+12) = 4(5+6)
Those are two ways to factor 20+24.
Solve
x ^ 4 -8x ^ 2 – 9 = 0
Answer: 0 is the answer
Step-by-step explanation: your welcome its 0
A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor game console. A survey participant is randomly selected. Let M be the event the participant brought a microwave and let C be the event the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant did not bring a microwave or did not bring a console, P(MC or CC)?
0.10
0.29
0.39
0.90
Answer:
0.90
Step-by-step explanation:
I’m doing the unit test
Answer:
0.29
Step-by-step explanation:
The probability that they brought both is .90
The probability of neither is .29, which is what this question is asking
Pls solve this with solution
SOMEONE HELP!!!!!!!!!!!!!!!!!!!! I would give more points but there are people who just write random things for an answers that isnt correct just to get points.
Answer:
a) 320 is correct
b) 20 more 18 year old students
Step-by-step explanation:
a) 320 is correct
b) 20 more 18 year old students: The only information we have in the 25 - 35 minute time frame is the data for 30 minutes:
12 years: 40 students
18 years: 60 students
Difference = 20 more 18 year old students than 12 year old students spent spent time on social media for 25 - 35 seconds.
HEPL!! due in 2 hours so please help or attempt! I came up with 5 different answers and don't know which one is the actual answer!!
Answer:
Original Price = $23
Step-by-step explanation:
$5.75 is the price after a discount of 75%
Let the original price be x and x is 100% of the price
5.75 = 100%x - 75%x
5.75 = 25%x
The new price is 25% of the original because you are subtracting 75%
25% is also written as 0.25
5.75 = 0.25x
x = 5.75/0.25
x = 23
The original price is 23
-Chetan K
Hi, I have a question it is kinda hard but I think i got it, if it's wrong plz tell mee
Solve for X
5-x+6=4
X=3
5-x + 6 = 4
Combine like terms:
11-x = 4
Subtract 11 from both sides
-x = -7
Divide both sides by -1
X = 7
Answer: x = 7
Solve for X
5-x+6=4
Answer:-x = 7
Explanation:-=> 5-x + 6 = 4
=> (5+6)-x = 4
=> 11-x = 4
(subtract both the sides by 11)
=> -x = -7
(divide both the sides by -1)
=> x = 7
Which property is shown here? (-3 + 9) + 1 = -3 + (9 + 1)
Answer:
Commutative property
Step-by-step explanation:
Answer:
Associative property I think
Step-by-step explanation:
in 3x + 2/3y - 15 < 0, the point (x,9) is a solution for the inequality shown. what is the possible value for x?
a: 2
b: 3
c: 4
d: 5
answer: 2
explanation:
if you plug in all of the numbers available for the equation and using 9 as a substitute for y, you'll see that it will either = 0 or be greater than 0
Combine the like terms to create an equivalent expression.
\large 9p+3p
Step-by-step explanation:
there is not much here.
all I can see is
9p + 3p
and that is 12p (as 9+3 = 12)
MATH WILL YOU PLEASE HELP!
Answer:
I think it's -6x-18, this queston uses distributive property, so you must multiply each term inside the parenthesis to the number outside the parenthesis.
Find the maturity value of a loan of Php 5,000 at an interest rate of 15% in 2 years
Answer:
Php 6500
Step-by-step explanation:
Assuming simple interest, the value after 2 years is ...
A = P(1 +rt) . . . . . value of loan of principal P at annual rate r for t years
A = 5000(1 +0.15·2) = 5000(1.30) = 6500
The maturity value will be Php 6500.
Jordan goes to a high school with 1900 students. He surveyed a random sample of 240 students about their favorite sport, and 150 said that football was their favorite sport. Jordan reported to the school newspaper that football is the favorite sport of 1188 students. What inference did Jordan make? PLSS HELP QUICK !!
Answer: answer b
Step-by-step explanation:
make t the subject q= 1+3t/2-t
Answer:
t = dfrac-1 + 2 q3 + q.
Step-by-step explanation:
A shop has a sale that offers 20% off all prices.On the final day reduce all the sale prices by 25%.Linz buys a radio on the final day.Work out the overall percentage reduction on the price of the radio
Answer:
40%
Step-by-step explanation:
Original price = x
Sale = 20% off
20% / 100 = 0.2 to convert from a percent to a decimal
Sale = x - 20% of x = x - 0.2x = 0.8x
Sale price = y = 0.8x
Reduction of sale prices = 25% = 0.25
Reduction = y - 25% of y = y - 0.25y = 0.75y
End price in terms of original price (x):
0.75y = 0.75(0.8)x
= 0.6x
End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction
Zoe charges £9 per student to attend a dance class. There are y students in the class.
a . Write an expression for the total amount she charges for a class.
b. How much does she charge for 5 students?
c. How many students must she have in the class to make £72?
x = 16 - 4y
3x + 4y =8
substitution method
Answer:
i think x = -4, y = 5
Step-by-step explanation:
x = 16 - 4y
3x + 4y = 8
3(16 - 4y)+4y = 8
48-12y+4y = 8
48-8y = 8
48-8 = 8y
40 = 8y
5 = y
so
x = 16 - 4y
x = 16 - 4(5)
x = 16 - 20
x = -4
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
2
Step-by-step explanation:
Choose 2 points on the graph: (0, -2) and (1, 0)
[tex]\boxed{ gradient = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Gradient of graph
[tex] = \frac{0 - ( - 2)}{ 1 - 0} [/tex]
[tex] = \frac{0 + 2}{1} [/tex]
= 2
Answer:hope it helps!
Step-by-step explanation:
cannot be bothered
The blueprint for Moreno's living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new blueprint? (The width is 8)