Answer: Expected Value = -0.31
We expect to lose about 31 cents each time we play the game.
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Explanation:
A = event of selecting a king
B = event of not selecting a king
P(A) = 4/52 since there are 4 kings out of 52 total. This fraction reduces to 1/13.
P(B) = 48/52 = 12/13
Note: P(A) + P(B) = 1.
V(A) = net value of selecting a king
V(A) = 100-8 = 92, so you net $92 if event A occurs.
V(B) = -8, meaning you lose 8 dollars if you select anything but a king
We multiply the probability values with their corresponding net values
P(A)*V(A) = (1/13)*(92) = 7.07692 approximately
P(B)*V(B) = (12/13)*(-8) = -7.38462 approximately
Add up the results:
7.07692 + (-7.38462) = -0.3077
The expected value is approximately -0.3077 which rounds to -0.31
We expect to lose on average 31 cents each time we play the game. The nonzero expected value means this is not a mathematically fair game.
The original price of sunglasses is $25. The sale price is 20% off the original price. How much money will be saved (what is the discount)?
Step-by-step explanation:
5 $
What is the value of [ 3 × ( 8 − 2 ) ] + 5 ?
juan creates a new recipe for brownies. For each pan of brownies, he adds 7 dashes of cinnamon. How many dashes of cinnamon will he use for 8 pans of brownies?
Answer:
56 dashes of cinnamon
Step-by-step explanation:
7 dashes of cinnamon = 1 pan of brownies
And we need to make 8 pans of brownies so...
7 dashes of cinnamon x 8 pans of brownies = 56 total dashes of cinnamon :)
Please help 50 points to whoever answers, and brainliest to best answer!!!!
Answer:
x = 26/yz
Step-by-step explanation:
What are the two zeros of the quadratic function defined by the expression 9x2 - 4?
Blake drew a circle with an area of 1256 cm2. What is the diameter of that circle?
state if the triangles in each pair are similar. if so state how you know they are similar and complete the similarity statement
Answer:
Similar, SSS similarity JKL
Step-by-step explanation:
HELP ASAP I DON'T UNDERSTAND
A hammock holds a maximum of 360 lbs. Three kids want to go on the hammock. If each kid weighs the same, what is the greatest weight, in pounds, each kid could be to go on the hammock. Write and solve an inequality to represent this situation
Answer:
120lbs
Step-by-step explanation:
360lbs÷3 =120lbs
Raffle tickets will be sold at an event. The graph shows the amount of revenue, in dollars, the event will raise if different numbers of tickets are sold. 100 How much revenue will the event raise for each raffle ticket sold? 90 А $4.00 80 B $2.00 70 С $1.50 D $0.75 60 Revenue (5) SO 40 30 20 10 4 8 12 16 28 32 20 24 Tickets Sold 36 40
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Answer:
C. $1.50
Step-by-step explanation:
The graph is a straight line through the origin, so the revenue is proportional to the number of tickets. The ratio of revenue to tickets will tell you the money raised for each ticket sold. Pick any point on the graph and divide the revenue value by the number of tickets.
The division can be easy if the number of tickets is 10. We see that the revenue for 10 tickets is $15, so the amount raised for each ticket is ...
$15/10 = $1.50 . . . . raised per ticket sold
what is the probability of rolling a number greater than 2 with a standard number cube
Answer:
4/6 or 2/3
Step-by-step explanation:
6 sides with 4 of the numbers being greater than 2; 4/6. The simplified version is 2/3.
If A+B+C=[tex]\pi[/tex] show that tan A + tan B +tan C = tan A.tan B.tan C
Answer:
[tex]a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b) [/tex]
Step-by-step explanation:
we have:
[tex] \tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)[/tex]
we also have:
[tex] \tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)[/tex]
from (1)(2) => proven
PLS HELP FOR 40 POINTS I HAVE AN EXAM!!!
You need to select a pair of socks from the draw and then a t-shirt. You have eight different colors of sock pairs and ten different color t-shirts. If you pull one from each draw, what are the possible combinations of socks and t-shirt that you will get?
Answer:
8
Step-by-step explanation:
You only have 8 socks and its a combination of both socks and t-shirts. Hope this helps!
Answer:
80
Step-by-step explanation:
10*8=80
The equation y-7/2=1/2(x-4) is written in point-slope form. What is the y-intercept of the equation
HELP
What is the equation of the trend line in the scatter plot ?
If 4 television weigh 160 pounds , how much do 5 of those television weigh? Show your work
Answer:
200 pounds
Step-by-step explanation:
4 televisions weigh 160 pounds
1 television weigh 40 punds
5 televisions weigh 200 pounds
Answer:
Logically 200 lbs
Step-by-step explanation:
160/4 = 40
1TV = 40 lbs
40 * 5 = 200
200lbs...
If (x, 0) lies on the graph of y = logbx , then x =
1
B
0
Answer:
1
Step-by-step explanation:
I need to finish this today! Please help!
Answer:
13 square inches
Step-by-step explanation:
Add both values for the area together to get your answer
small one is
1*1=1 square inch
large one is
4*3=12 square inches
Answer:
13
Step-by-step explanation:
area of the polygon = area of a rectangle +area of the square
area of the polygon = 3*4 +1*1 = 12+1 = 13 in²
Jenny cut an apple into eight equal slices. She gave
of the apple to Kendall.
Which shows how much of the apple Jenny has left?
Answer:
what did percent or fraction did she give Kendall?
Step-by-step explanation:
Help me please can someone tell me how to do this
quiennzmamamsmmsmsmsmssnzns
determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!!
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Answer:
SASnotSSSAASStep-by-step explanation:
Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...
SSS SAS AAS ASA (and HL for right triangles--not applicable here)
__
1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.
2. only one side and angle are marked. Insufficient information. Not congruent.
3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.
4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.
There are 10 bags of cereal in a pantry. Each serving of cereal is 1/8 of a bag.
How many servings of cereal are there in the bags in the pantry?
Answer:
80 servings
Step-by-step explanation:
there is 8 serving per bag
Answer:
80
Step-by-step explanation:
Let servings be s and the bag be b
s = 1/8 b
multiply both sides by 8
8s = b
For 10 bags, it will be 10*8s = 80s which is 80 servings.
1. Christine picks three pumpkins. They weigh
6 14 pounds, 2 1/3 pounds, and 1 1/8 pounds.
What is the total weight of the pumpkins?
Answer: [tex]9\dfrac{17}{24}\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Christine Picks three Pumpkins which weighs
[tex]6\dfrac{1}{4}=\dfrac{6\times 4+1}{4}\ \text{Pounds}[/tex]
[tex]2\dfrac{1}{3}=\dfrac{2\times 3+1}{3}\ \text{Pounds}[/tex]
[tex]1\dfrac{1}{8}=\dfrac{8\times 1+1}{8}\ \text{Pounds}[/tex]
The total weight will be the addition of the weights of each pumpkin
[tex]\Rightarrow \dfrac{25}{4}+\dfrac{7}{3}+\dfrac{9}{8}\\\\\text{Take the LCM of the denominators which will be 24}\\\\\Rightarrow \dfrac{25\times 6}{24}+\dfrac{7\times 8}{24}+\dfrac{9\times 3}{24}\\\\\Rightarrow \dfrac{150+56+27}{24}\\\\\Rightarrow \dfrac{233}{24}\ \text{Pounds}\\\\\Rightarrow 9\dfrac{17}{24}\ \text{Pounds}[/tex]
3x-8= 4
What is the first and second steps in solving this equation?
a. Multiply each side by 3
b. Divide each side by 3
c.Add 8 to each side
d. Subtract 8 from each side
what s the slope of (20,-5) (5,4)
Answer:
( 0 , 1 ) , ( 1 , 0 )
( − 5 , 9 ) , ( 3 , 0 )
( 0 , 9 ) , ( 8 , 6 )
Step-by-step explanation:
30 points!!
In the figure shown below, all the corners form right angles. What is the area of the figure?
Answer:
B
Step-by-step explanation:
2 Which of the following is the point and slope of the equation y - 9 = 3/2(x - 1) A) (1,9), 3/2 B) (-1,-9), 3/2 C) (9, 1), 3/2 D) (9.-1), 3/2
Answer:
A) (1,9), 3/2
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope format, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
y - 9 = 3/2(x - 1)
Comparing with above, we have that:
The point is [tex](x_0, y_0) = (1, 9)[/tex] and the slope is [tex]m = \frac{3}{2}[/tex]. The correct answer is given by option A.
What’s the correct answer?? I will mark as brainlest
Answer:
11
Step-by-step explanation:
Which choice is equivalent to the expression below?
(-4)-5
Rachel has just completed a study of precipitation in three different locations over the course of a year. The data she wishes to present in graph form is shown in the table below, with precipitation listed in inches. Boston Phoenix Minneapolis January 3.27 0.45 1.04 February 3.44 0.48 .76 March 3.10 0.71 1.12 April 3.89 0.31 2.10 May 3.75 0.17 3.15 June 3.12 0.09 5.11 July 2.98 0.11 5.78 August 3.07 0.33 4.65 September 3.15 0.52 3.61 October 3.55 0.40 3.22 November 3.42 0.42 2.34 December 3.44 0.29 1.84 Rachel wants her graph to emphasize the relation of each city’s precipitation to each other city’s at each point in time. What kind of graph would be appropriate? a. bar graph b. line graph c. pictograph d. histogram
Answer:
option 2 line graph
Step-by-step explanation:
100% on EDGE
Answer:
b
Step-by-step explanation: