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
Hs math need help on triangle
A 100 , 100 , 160
B 100 , 100 , 100
C 100 , 60 , 20
D 100 , 40 , 40
Answer:
Option D.Step-by-step explanation:
It must be option D because an isosceles triangle always have two angles the same measure and must be a total of 180°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Let other two angles be x
[tex]\\ \tt\Rrightarrow x+x+100=180[/tex]
[tex]\\ \tt\Rrightarrow 2x+100=180[/tex]
[tex]\\ \tt\Rrightarrow 2x=80[/tex]
[tex]\\ \tt\Rrightarrow x=40[/tex]
Option D is correct
Find the pressure in N/m^2 exerted by a force of 42 N on an area of 7 m^2.
Answer:
Answer:
Force = 42 N
Area = 7 m^2
Pressure = Force/Area
= 42/7
= 6 N/m^2.
Step-by-step explanation:
got it from brainly
The following stem-and-leaf plot shows a data set.
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
How many observations are in this data set?
47
14
19
15
=============================================================
Explanation:
Ignore the stems. We count out the number of leaves
row one: 3 leaves (3,7,7)row two: 5 leaves (2,4,4,4,5)row three: 4 leaves (1,5,8,9)row four: 3 leaves (0,6,7)So we have a total of 3+5+4+3 = 15 leaves which correspond to 15 data values.
Write an equation for the proportional relationship shown in the table.
Answer:
y = 14x
Step-by-step explanation:
First Way of Finding the Equation:
We can find the equation for this proportional relationship by subtracting two of the y-values from each other and then dividing that by the difference of two of the x-values. For now, I'll use the points (2, 28) and (1, 14).
[tex]\frac{28-14}{2-1} =\frac{14}{1} =14[/tex]
So, this proportional relationship has an equation of y = 14x.
Second Way of Finding the Equation:
Another way of finding the equation is to simply examine the table given. What are all the x-values multiplied by to get to their corresponding y-values? Well, one easy way of answering this question is looking at the point (1, 14) - 1 × 14 = 14, so the constant of proportionality must be 14.
From this information, we know that the equation must be y = 14x.
Hopefully that's helpful! :)
How I can answer this question, NO LINKS, If you answer correctly I'll give u brainliest
Answer:A and D
Step-by-step explanation:
4*5r=20r
4*15t=60t
20*r = 20r
20*3t=60t
You want to order posters to advertise your band. A company charges $109.95 for the first 100 posters and $65 for each additional 100 posters. Write an equation that represents the total cost y (in dollars) as a function of the number (in hundreds) of posters ordered, x. Find the total cost of 1000 posters.
The equation that represents the total cost as a function of the number (in hundreds) of posters ordered, x is f(y) = 109.95 + 65x
let
y = total cost
x = numbers in hundreds
cost of first hundred = $109.95
Cost of additional hundred = $65
f(y) = 109.95 + 65x
The total cost of 1000 posters
1000 - first hundred = 900
additional hundreds = 900/100
= 9
So,
f(y) = 109.95 + 65x
= 109.95 + 65(9)
= 109.95 + 585
= 694.95
f(y) = $694.95
Therefore, the total cost of 1000 posters is f(y) = $694.95
Learn more about linear function:
https://brainly.com/question/13136492
what does 1/4 divided by 1/10 equal
Answer: 2/5
Step-by-step explanation: hope it helps
Can someone pls help me like plsssssssss
Answer:
2x-8
Step-by-step explanation:
hi
hope it helps you
thank me later
carryonlearing
Answer:
The third one is not the same (2+x-4)
Step-by-step explanation:
2x-8 is the same as -8+2x as it just switched places
With 2(x-4)
You multiply 2 with x and -4
Which is 2x-8
Thus the same
2+x-4
is not the same since if you add 2 and -4
You will get
x-2
Which is not the same as 2x-8
Hope this helps!
Greg has entered a cycle race of 125 km. he rides the first 85 km in 2.5 hours. he rides the rest of the way in 2 hours. How much faster did he ride during the first part of the journey compared to the second?
Answer:
He rides 14km/hr faster
Step-by-step explanation:
Speed = distance/ time
In the first part,
Speed= 85/2.5
= 34km/hr
In the second part,
Distance= 125-85
=40km
Speed= 40/2
=20km/hr
How much faster did Greg ride ?
34-20= 14km/hr
Marsha used a graphing calculator to graph an expense and a revenue function for her family’s printing business. The graph looked like the one below. What are the approximate breakeven points? *
The approximate breakeven points of the given functions are 15 and 47.
The breakeven point is the point where the total revenue equals to total expenses.
At this point, there is no profit or loss. That is the net profit is zero and he net loss is zero.
From the given graph, the dashed line represents the expense function while the solid line represents the revenue function.
The breakeven point occurs at the intersection of the expense and revenue line.The first breakeven point occurs at x = 15.The second breakeven point occurs at x = 47.Thus, the approximate breakeven points of the given functions are 15 and 47.
Learn more about breakeven points here: https://brainly.com/question/25641668
Answer: 15 and 47
Step-by-step explanation:
will give brainliest
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Miguel bought 8 equally priced pens for $3.84.
How much will 15 of these pens cost?
Answer:
$7.20
Step-by-step explanation:
If 8 pens cost $3.84, we need to find out how much ojne pen costs.
To find out the cost of one pen we need to divide $3.84 by 8.
$3.84 / 8 = $0.48
1 pen cost $0.48
We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.
$0.48 x 15 = $7.20
15 pens cost $7.20
Which of the following options have the same value as 2\%2%2, percent of 909090?
Answer:
2 percent equals 0.02
so we just multiply that by 909090 so
0.02*909090=18181.8
Hope This Helps!!!
Simplify (2x-1/x^2-2x-3) + (1/x-3)
Please provide a step by step
Answer:
(3x - 9)/(x² - 5x + 12)
Step-by-step explanation:
Answer attached, please refer it.
Hope it helps :)
can i get some help ?::
Answer:
7+3^2-2*5/4-1*2=
7+9-10/-2=
6/-2 or -3
3/4+1/8=
7/8 divided by 1/8=
7-2^2
3
-3<3
the second one is larger
Hope This Helps!!!
Samir works at a carpet warehouse and is paid a 4% commission on his sales. in November, he sold $9455 of carpet. How much did Samir earn in commission for November?
Answer:
$378.20
Step-by-step explanation:
9455 * .04 = $378.20
Complete the proof(using sas congruence)! Use to sas congruence to prove that two angles are congruent
4 x 1/3 x 3/4 x 1/3 as a fraction or whole number
Answer:
Step-by-step explanation:
To multiply fractions just multiply top × top × top × top ( and write it on top) Then multiply bottom × bottom × bottom × bottom. Whenever you can reduce or simplify the result, make sure you do that too. Since the whole entire problem is all times-ing (and dividing bc fraction bar is just dividing) you could "cancel" numbers that are in the top and bottom that are the same. See image.
can someone help me with these? it's a study guide and I lost the notes I took for these
Step-by-step explanation:
[tex]thanks \: you \: the \: point \\ pls \: follow \: me[/tex]
Please help me asap
ty :)
Answer:
y = -3x - 3
Step-by-step explanation:
Subtract 3x both sides
y = -3 - 3x
y = -3x + (-3)
someone please help this is due in 25 minutes
Because it is an isosceles triangle, the 2 sides that are given will be equal to each other.
15=4x+3
(subtract 3 on both sides)
12=4x
(divide by 4 on both sides)
x=3
Hope it helps!
Answer:
x = 3.
Step-by-step explanation:
1. 4x + 3 = 15
2. Subtract 3 from both sides.
3. Divide by 4 from both sides.
please answer i have finals this coming week and i need to get my grade up
Answer:
first line for you graph would be from 5 to 5 and the second line is -4 to 2
Step-by-step explanation:
hope this is what you needed:)
Which value is a solution to the inequality: 2(x-2)>14 *
-10
4
3
10
1/2x divided by 3=6 what is x
Answer:
x = 36Step-by-step explanation:
1/2x ÷ 3 = 6=> 1/2x × 1/3 = 6=> 6 x 1/6x = 6 x 6=> x = 36Conclusion:
Therefore, the answer is 'x = 36'.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The e of the function f(x) = e* has a value of:
a
3.14
2.718
1.98
None of these choices are correct.
Answer: 2.718
Step-by-step explanation:
You don’t need the star there but it is Euchre’s number when you look it up it is 2.718
Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a multiple of 3.
Answer
1/3
Step-by-step explanation:
Which exponential expression is equivalent to the product shown 2/3×2/3×2/3×2/3×2/3×2/3×2/3?
Answer:
B. (2/3) x (2/3) x (2/3)
C. 8/27
D. 2^3 /3^3
hope this helps
If the radius of a circle is ‘r’ units, which of the following is its circumference? *
Answer:
2πrExplanation:
The area of the unit circle is π (in general πr2 where r is the radius).
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar because the angle to the sun is the same. Choose two equations that can be used to find the height, h, of the tree.
The two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
We have given that,
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow.
What is the similar triangles?Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of a similar triangle are a ratio to each other.
The tree casts a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,
h / 12 = 5 / 4
Therefore, h / 12 = 5 / 4
cross multiply
4h = 60
divide both sides by 4
h = 60 / 4
h = 15 ft
Therefore, the two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
To learn more about the triangle visit:
https://brainly.com/question/17335144
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Answer:
i am on ttm
Step-by-step explanation:
12/4=h/5
5/4=h/12
What value(s) of x will make x2 = 25 true?
A. 5 and -5
B. 5
C. 5
D. 12.5 and -12.5
x^2 = 25
x = -5, 5
Check your work!
(-5)^2 = 25
(5)^2 = 25
Hope this helps! :)