Answer:
3.85
Step-by-step explanation:i did the math .... :)
The entry fee is $11, and the entrants make the recipes at home and vote for their favorite, which cannot be their own recipe. The top 2 finishers win money. First place wins $58, and second place wins $48. You give yourself an X chance of finishing in the top 2, and if you finish top 2, then you have an equal chance of finishing first or second.
Required:
What is x such that entering this tournament is a fair gamble for you as an expected value maximizer?
Answer:
The value is [tex]X = 0.1719 [/tex]
Step-by-step explanation:
From the question we are told that
The entry fee is [tex]a = \$ 11[/tex]
The outcome for first place is [tex]b = \$ 58[/tex]
The outcome for second place is [tex]c = \$ 48[/tex]
The outcome for losing is [tex] d = - \$ 11[/tex]
The chance of finishing in the top two is X
Given that there are equal chance of finishing first or second, then the chance of finishing first is [tex]\frac{X}{2}[/tex]
and the chance of finishing second is [tex]\frac{X}{2}[/tex]
Then the chance of losing(i.e not finishing in the first two) is [tex]1 - X[/tex]
given that the game is a fair gamble for the player as an expected maximizer then it mean is that the expected value of entering the tournament E(X) = 0
So
[tex]E(X) = b * \frac{X}{2} + c * \frac{X}{2} * d * ( 1 - X)[/tex]
=> [tex]0 = 58 * \frac{X}{2} + 48 * \frac{X}{2} * -11 * ( 1 - X)[/tex]
=> [tex]0 = \frac{58X}{2} + \frac{48X}{2} * -11 + 11X)[/tex]
=> [tex]X = \frac{64}{11}[/tex]
=> [tex]X = 0.1719 [/tex]
You plan on using cost-based pricing. The cost of your product is $10, and you are planning a 30% mark-up. What should the price of your product be?
Answer:
Selling price= $13
Step-by-step explanation:
Giving the following information:
The cost of your product is $10, and you are planning a 30% mark-up.
The price of the product is calculated by adding to the manufacturing costs a predetermined percentage.
Selling price= 10*1.3
Selling price= $13
Based on the cost of the product and the mark-up, the price of the product will be $13.
Price of productThis can be fund using the formula:
= Cost of product x ( 1 + markup percentage)
Solving gives:
= 10 x ( 1 + 30%)
= 10 x 1.3
= $13
In conclusion, the product would be $13.
Find out more on cost based pricing at https://brainly.com/question/4144684.
The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys
Answer:
The mean of the remaining 3 boys is 51.
Step-by-step explanation:
The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:
[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)
([tex]p_{10} = 58[/tex])
[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)
Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.
In addition, we know the following mean marks from statement:
[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)
([tex]p_{7} = 61[/tex])
[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)
[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)
Where:
[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.
[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.
By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:
[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]
[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]
[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]
[tex]3\cdot p_{3} = 153[/tex]
[tex]p_{3} = \frac{153}{3}[/tex]
[tex]p_{3} = 51[/tex]
The mean of the remaining 3 boys is 51.
Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How many grams of fat are contained in all the lemonade Samantha has for the party?
Answer: 6.75
Step-by-step explanation:
1/2 gallons = 0.75 grams
1 gallons = 1.5 grams
2 gallons = 3 grams
4 gallons = 6 grams
6 + 0.75 = 6.75
I hope this helped!
Can somebody please help me with this math problem
Answer:
According to the question 25% of the students wore jackets.
Thus 25% of 12 wore jackets
The number of students can be found easily by multipling 12 with 25//100
12*25/100
12*1/4
12/4
thus, 3 students
Therefore, option 3 is correct
PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS
g A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 6% margin of error at a 95% confidence level, what size of sample is needed
Answer:
Sample size required is 267 people
Step-by-step explanation:
The explanation is given in the attachment below
Three-fourths of the sum of y and 3 plus the product of 9 and w
Answer:
¾(y + 3) + 9w
Step-by-step explanation:
Let's write it step by step:
Step 1: Three fourths of the sum of y and 3 is; ¾(y + 3)
Step 2: plus the product of 9 and w is;
¾(y + 3) + 9w
Thus,the final algebraic expression of the statement given in the question is;
¾(y + 3) + 9w
: The average student college loan rate is 4%. You borrowed $18,000 per year for 4 years for tuition, room, & board. If the interest is computed as simple interest, annually, how much interest will you owe when you graduate. Assume 4 years interest on the freshman year loan, 3 years on the sophomore loan, 2 years on the junior loan, and 1 year on the senior loan.
Answer: A) 7,200
Step-by-step explanation:
Answer:7200
Step-by-step explanation:
2+2=7200
Is the product of 0.4 * 1.8 greater then or less then 0.4
Answer:
Greater
Step-by-step explanation:
.4*1.8 is .72
.72 is greater than .4
Sandra has $32 in her purse. She $15 for a CD.Which expression represents this situation.
32+15
-32+15
-32+(-15)
32+(-15)
6x-4=3x+4 i need help doing this
the answer would be,,..................... .................................... I have no clue AT ALL¶§§
Answer:
x = 8/3
Step-by-step explanation:
6x-4=3x+4
Subtract 3x from each side
6x-3x-4=3x-3x+4
3x-4 =4
Add 4 to each side
3x-4+4 = 4+4
3x =8
Divide each side by 3
3x/3 = 8/3
x = 8/3
Answer:
hi
Step-by-step explanation:
exact form: 8/3
decimal form:
2.6 repeating sign over six
mixed number form: 2 2/3
There are 4 blue and 6 red marbles in a box. Two marbles are drawn at random without replacement. What is the probability having two blue marbles drawn?
Answer:
Probability having two blue marbles(Without replacement) = 2/15
Step-by-step explanation:
Given:
Number of blue marble = 4
Number of marble = 6
Find:
Probability having two blue marbles(Without replacement)
Computation:
Probability of first marble = 4 / 10
Probability of second marble = 3 / 9
Probability having two blue marbles(Without replacement) = [4/10][3/9]
Probability having two blue marbles(Without replacement) = 2/15
Investigate the difference between compounding annually and simple interest
for parts a-j. Round to the nearest cent.
a. Find the simple interest for a 1-year CD for $5,000 at a 2.5% interest rate.
b. Find the interest for a 1-year CD for $5,000 at an interest rate of 2.5%,
compounded annually.
c. Compare the results from parts a and b.
d. Find the simple interest for a 3-year CD for $5,000 at an interest rate
of 2.5%.
e. Find the interest for a 3-year CD for $5,000 at an interest rate of 2.5%,
compounded annually.
f. Compare the results from parts d and e.
g. Find the simple interest for a 6-year CD for $5,000 at an interest rate of 2%.
h. Find the interest for a 6-year CD for $5,000 at an interest rate of 2%,
compounded annually.
i. Compare the results from parts g and h.
j. Is interest compounded annually the same as simple interest? Explain
Step-by-step explanation:
Simple interest formula
[tex]A = P (1 + rt)[/tex]
Compound interest formula
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
a.
[tex]A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125[/tex]
Simple interest is $125
b
. [tex]A = 5000 (1 + \frac{0.025}{1})^{1*1} \\A=5000(1.025)\\A= 5125[/tex]
Compound interest is $125
c. the result for both a and b are the same
d.
[tex]A = 5000 (1 + 0.025*3) \\A=5000(1.075) \\A=5375[/tex]
the simple interest is $375
e
. [tex]A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385[/tex]
the compound interest is $385
f. the result compared, compound interest is $10 more than simple interest
g.
[tex]A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600[/tex]
the simple interest is $600
h.
[tex]A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869[/tex]
the compound interest is $4869
i. the result from g and h, h is over 8 times bigger than g.
j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h
In the diagram below, the radii of the two concentric circles are 3 centimeters and 7 centimeters, respectively.
What is the area of the shaded region?
Answer:
125.6 cm²
Step-by-step explanation:
Area of the shaded region = area of larger circle - area of the smaller circle
Area of the smaller circle = πr²
π = 3.14, r = 3 cm
Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²
Area of larger circle = πr²
π = 3.14, r = 7
Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²
Area of the shaded region = 153.86 - 28.26 = 125.6 cm²
on the map above.
In the United States, large quantities of oil and natural gas can be found in region
A. 1
B. 2
C. 3
D. 4
Please select the best answer from the choices provided
A
B
С
D
Answer: C
Step-by-step explanation:The top producing states are Texas, Oklahoma, New Mexico, Wyoming, and Louisiana, which produce more than 50 percent of U.S. natural gas.
Answer:
Your answer is C
South High School began the school
year with 1125 students. They have
lost 4% of their student body due
to attrition.
How many students has South
High School lost to attrition?
Answer:
45
Step-by-step explanation:
1125 students×.04 attrition =45 students lost
ten bag of beans cost 350:00cedi find the cost of 6 bags
There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If a person can eat 2 pounds, how many people are necessary to eat all of the waffles?
Answer: 112 people.
Step-by-step explanation:
Answer:
You would need 112.5 people to eat all the stacks of pancakes.
Step-by-step explanation:
45 times 5 = 225
and then 225 divided by 2 is 112.5
Hope this helps!
Good question lol
Rewrite 8^-12 isIng a positive exponent
Answer:
8^12??
Step-by-step explanation:
what is islng
Answer:
1/[tex]8^{12}[/tex]
Step-by-step explanation:
Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]
1/[tex]8^{12}[/tex]
Solution
1/[tex]8^{12}[/tex]
Alternate form
≈ 1.45519 x [tex]10^{-11}[/tex]
The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored
This question is incomplete
Complete Question
The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?
Answer:
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Step-by-step explanation:
Let the number of points scored by the lion = l
The number of points scored by the tiger = t
The Lions scored three more than three times the number of points the Tigers scored.
l = 3 + 3(t)
The total number of points scored by both teams is 31.
= l + t = 31
3 + 3t + t = 31
4t = 31 - 3
4t = 28
t = 28/4
t = 7 points
Note:
l + t = 31
I = 31 - t
l = 31 - 7
l = 24 points
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
4+ (-2) + 3(5) simplify
Answer:
Step-by-step explanation:
when there is a + in front of an expression in parentheses, the expression remains the same.
multiply the numbers. 4-2+15
calculate the sum
and u get 17!
Sanjay has 2 1/3 cups of pretzels, Raul has 1 5/6 cups of chocolate pieces, and Sonny has 3 7/9 cups of granola. If they
combine all of their ingredients, how much trail mix can they
make?
Triangle ABC with vertices A(2, 7), B(6,5),
and C(4, 1): 90° counterclockwise on a graph
Answer:
Step-by-step explanation:
Hope it helps!!
Triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).
Given that, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
90° counterclockwise rotation: (x, y) becomes (-y, x)
A(2, 7) → A'(-7, 2)
B(6, 5) → B'(-5, 6)
C(4, 1) → C'(-1, 4)
Therefore, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).
Learn more about the rotation of 90° counterclockwise here:
brainly.com/question/1571997.
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Answer:
24
Step-by-step explanation:
Answer:
R is D
Step-by-step explanation:
Mathematical Expression:
R=D divided by T
For Y=R substitute R with RT:
R=D
Select the postulate of equality or inequality that is illustrated. 5=5 addition postulate of inequality the multiplication postulate of inequality the symmetric postulate of equality the transitive postulate of equality comparison postulate the reflexive postulate of equality the transitive postulate of inequality
Answer:
Reflexive postulate of equality
Step-by-step explanation:
Given
[tex]5 = 5[/tex]
Required
Which option answers the question
From the list of given options, the correct answer is: reflexive postulate of equality
This is so, because:
Reflexive postulate of equality implies that: [tex]a = a[/tex]
So, take [tex]a = 5[/tex]
This gives:
[tex]a = a[/tex]
[tex]5 = 5[/tex]
Hence:
Reflexive postulate of equality answers the question
Please put the following numbers in order largest to smallest: 19/50; 0.37; 40%
Answer:
19/50 40% 0.37
Step-by-step explanation:
19/50 = 0.38
0.37 = 0.37
40% = 0.40
40%, 19/50, 0.37
Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?
The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%
Answer:
1/5
Step-by-step explanation:
We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.
We know that, percent means we need to divide the value by 100 i.e.
[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]
So, the required fraction is 1/5.
Personal Finance: Cost of a Car The suggested list price of a new car is $24,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $300 over cost for the car?
Answer: $20,700
Step-by-step explanation:
Given that :
List price of car = $24,000
Dealer's cost = 85% of the list price of the car
Dealer acceptance cost = $300 over the cost
Hence, total amount to be paid :
Dealer's cost + dealer's acceptance cost
Dealer's cost = (0.85 * $24,000) = $21,400
Hence, Total cost :
$20,400 + $300 = $20,700