A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Answer:
Expected value for 4 tickets = $ -7.6
Step-by-step explanation:
Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.
To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Proof -
Given that,
A lottery offers
one $ 900 prize
one $ 600 prize
three $ 400 prizes
Four $ 100 prizes
And
One thousand tickets are sold at $ 5 each
Now,
If the person bought 1000 tickets then the prize he gets is
= 900 + 600 + 3×400 + 4×100
= 900 + 600 + 1200 + 400
= $3100
And
The cost of 1000 tickets = 5×1000 = $ 5000
Now,
Price 1 ticket = [tex]\frac{3100}{1000}[/tex] = $ 3.1
⇒Expectation of 1 ticket = $ 3.1 - 5 = $ -1.9 (Here $5 is price of 1 ticket)
⇒Expected value for 4 tickets = $ 4× -1.9 = $ -7.6
⇒Expected value for 4 tickets = $ -7.6
A woman had $200. She went to a meatshop,
a bookstore and a drugstore. She spent four
times as much money at the meatshop as she
did at the drugstore. She spent $15 less at the
bookstore than at the drugstore. She then had
$5 left.
(a) Using $x to represent the amount she spent
at the drugstore, express in algebraic terms
(i) the amount she spent at the meatshop
(ii) the amount she spent at the bookshop
(b) Obtain an equation for the total amount
of money spent and hence calculate the
amount she spent at the drugstore.
Complete the proof.
Given:
R↔S tangent to circle A and circle B at points R and S.
Prove:
AR ∥ BS
The proof is shown below:
What is tangent?The tangent is defined as a line touching circles or an ellipse at only one point.
As, tangent line is perpendicular to radius of the circle.
So,
AR ⊥ RS
BS ⊥ RS
Thus, AR and BS ⊥ to same line RS.
Now, either AR or BS are in same line or parallel.
since, they are the radius of different circles.
Hence, AR ║BS.
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The Guy above me is correct
Please no links!! Can’t open them! Thanks
what is log17 60 evaluated?
Answer:
1.77815125038
Step-by-step explanation:
Triangle A'B'C'is the result of reflecting triangle ABC across the line l
Choose all answers that apply
a. BC and B'C' are both perpendicular to the y-axis
b. <B and <B' have the same measures
c. The perimeters of ABC and A'B'C' are the same
D. None of the above
9514 1404 393
Answer:
b, c
Step-by-step explanation:
Reflection across a line is a "rigid" transformation, so linear measures and angle measures remain unchanged. (b and c are true statements)
Reflection across a line skew to the y-axis will mean that any segment originally perpendicular to the y-axis will not be after the reflection. ('a' is not a true statement)
PLS ANSWER 12 POINTS U DONT HAVE TO EXPLAIN JUST GIVE THE RIGHT ANSWER PLS AND THANK YOU ILL GIVE YOU BRAINLIEST
Answer: 35 *
Its a right angle. 90 - 55 = 35
two adjacent angles from a right angle. the larger angle is 3 times the measurement of the smaller angle which is the measurement of the angle?
45°
22.5°
67.5°
30°
Answer:
Because two adjacent angles from a right angle sums up to 90° and the larger angle is 3 times the measurement of the smaller angle, the equation would be 3a + a = 90° (A will be the substituting variable for the smaller angle). Add the like terms to get 4a=90. Divide 4 on both sides to get 22.5°. Substitute 22.5 into the variable, a, to get 67.5. This means that the larger angle would be 67.5° and the smaller angle would be 22.5°.
Find the missing probability.
P(A) = ?
P(B) = 2/5
P(A and B) = 6/25
The missing probability will be P(A) = 3/25. The correct option is C.
What is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. Probability is used in mathematics, statistics, and many other fields to quantify uncertain or random events.
To find the missing probability P(A), we can use the formula for the probability of the intersection of two events:
P(A and B) = P(A) * P(B|A)
Where P(B|A) is the conditional probability of B given A.
Rearranging this formula, we get:
P(A) = P(A and B) / P(B|A)
To find P(B|A), we can use the formula for conditional probability:
P(B|A) = P(A and B) / P(A)
Substituting this into the first formula, we get:
P(A) = P(A and B) / (P(A and B) / P(A))
Simplifying, we get:
P(A) = P(A and B) / P(B)
Substituting the given values, we get:
P(A) = (6/25) / (2/5)
Simplifying, we get:
P(A) = (6/25) x (5/2)
P(A) = 3/25
Therefore, the missing probability is P(A) = 3/25.
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No links please and thanks
Answer:
3,4 is the correct answer for this question
HELP WILL GIVE BRAINLIST: Answers A: $26.81 b: $22.98 c: $19:98 D $3.83
Answer:
B 22.98
Step-by-step explanation:
divided 11.49 by 3, you get 3.83, then multiply it by 6. thats your answer
Answer:
B: $22.98
Step-by-step explanation:
The first thing we need to do for this question is find a pattern. Find a pattern between the prices of 3 pizzas, 4 pizzas, and 5 pizzas. Once we have this pattern, we can solve for x.
To find the pattern, we must first subtract the price of 4 pizzas from the price of 3 pizzas. This difference is 3.83, so we know the price went up $3.83. Next, subtract the price of 5 pizzas from the price of 4 pizzas. This is also 3.83, so we know that for every extra pizza added, the price goes up $3.83.
Now that we have our pattern, we can solve for x. Because the price goes up $3.83 for every extra pizza added, we can add $3.83 to the price of 5 pizzas. This will give us $22.98. We now know the value of x and the price of 6 pizzas.
I hope this helps. Please let me know if you need any more help. Have a great day and good luck!
Plz help
Hhhhhhhheeeeeeeeellllllllllppppppppp
Answer:
Step-by-step explanation:
1kg = 1000g
3000g [divide by 1000 to get answer in kg]
3kg = D
Please Help me its all ready late
Answer:
x = -1/3
Step-by-step explanation:
1/3x = 2/9 - 3/9
1/3x = -1/9
x = -1/3
Hope that helps!
Please help ASAP and show working out
Answer:
card 7 was removed
Step-by-step explanation:
This is so easy if you just do it one step at a time.
Anyway,
2 + 5 + 8 + 9 = 24
24 / 4 = 6
When you roll a number cube, there are 6 possible _____.
a.) dots
b.) sides
c.) outcomes
b.) none of these
Answer:
c. outcomes
Step-by-step explanation:
What is the area of the polygon given below?
A. 55 square units
B. 186 square units
C. 131 square units
D. 66 square units
Answer:
○ B. [tex]\displaystyle 186\:square\:units[/tex]
Explanation:
All edges conjoin to form right angles, therefore you have these:
[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]
OR
[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]
I am joyous to assist you at any time.
Which function could produce the graph shown below?
dnesda
-4
+3
+2
5
10
15
20
25
30
35
Exponential function given in Option (C). f(x) = 4e⁻⁰°⁰⁵ will be the answer.
Exponential function: An exponential function is given by,
[tex]f(x)=ae^{bx}[/tex]
Given in the question,
Graph of the exponential function passes through two points,(0, 4) and (27.5, 1)
For (0, 4),
[tex]4=ae^{b\times 0}[/tex]
[tex]a=4[/tex]
For (27.5, 1)
[tex]1=4(e)^{27.5\times b}[/tex]
[tex]e^{27.5b}=0.25[/tex]
[tex]\text{ln}e^{27.5b}=\text{ln}(0.25)[/tex]
27.5b = -1.3863
b = -0.05
Therefore, exponential function will be → [tex]f(x)=4e^{-0.05x}[/tex]
Option (C) will be the answer.
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how do i see if 5 + 3 x -2 and x + 2 (x + 1) + 1 are equivalent or not?
Simplify both of the expressions and see if they are the same
5+3x-2
=3+3x
x+2(x+1)
=x+2x+2
=2+3x
They are not equivalent.
find the mad: 250, 249, 251, 253, and 253
Its 250 for sure i have not done mads for a while now.
So maybe double check me with someone else
Answer:
It's 1.44
Step-by-step explanation:
Mrs. Daniel packs reams of paper into boxes. The box has a mass of 18
ounces, and each ream of paper weighs 22 ounces. If the function
y = 22x + 18 describes the total mass, the variable x represents the —
A.total mass of a box filled with reams of paper
B.total number of boxes filled with reams of paper
C.mass of each ream of paper inside a box
D.number of reams of paper packed in a box
Sophie bikes at a speed of s miles per hour. her friend rana is slower, her biking speed is only r miles per hour. Tomorrow both girls are planning to spend 3 hours biking. how much longer will be the sophies route
PLEASE HELP!!!!
Which angle measure must equal 52°?
A. а
в. Ь
с. с
D. d
Е. е
Answer:
Option C will be your answer
Step-by-step explanation:
Angle C will be equal to 52 by vertical angle theorem
hope it helps you
have a great day !!
Angle c is the vertical opposite angle with 52° so it will have a measure of 52° thus option (C) is correct.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Two opposite angle made by two intersecting lines is said to be vertically opposite angle so the angle opposite to 52° is c so, ∠c = 52°.
Hence " Angle c has a measure of 52° since it is the vertical opposite angle with 52°".
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what an expression that is equivalent to 7/8
Answer:
0.875 is the equivalent fraction
cant do fractions help
Identify the constant of proportionality from the table.
26
5 15
6 18
8 24
C. 2
D. 6
Answer:
The constant of proportionality is 3.
Step-by-step explanation:
6/2 is 3 and so on.
Correct me if I'm wrong
Help please I will mark brainliest
Heather is considering purchasing an item that costs $17. The sales tax in Heather's area is set at 7.5%. What is the total purchase price that leather would be charged on this purchase? Round your answer to the nearest cent, if necessary.
Answer:
$18.28
Step-by-step explanation:
To get the answer all I did was take 7.5% of 17 which is 1.275
I then rounded 1.275 to 1.28. When you round up the number after the 7 has to be 5 or above. Seeing as the number was 5 we rounded it up to 1.28.
Then I took $17+$1.28= $18.28.
I hope this helps!!!
find 3/4 of 32
please show all your work for full credit
Answer:
24
Step-by-step explanation:
[tex]\frac{3}{4} *32\\=\frac{3}{4}*\frac{32}{1} \\=\frac{96}{4} =24[/tex]
Make x the subject of the formula r=√x²+y²
Answer:
Step-by-step explanation:
Choose all equivalent expression(s). ab^-3x=
Answer:
Is there a photo the problem or is that just it?
Answer:
The answer is the last two.
Step-by-step explanation: