A state lottery sells 25,000 scratch off tickets. Each ticket costs $2. Of the 25000 tcikets one hundred tickets will win the player $10, twenty five tickets will win the player $100, and one ticket will win the player $5000. What is the expected value of buying one scratch- off ticket?
Answers
The expected value of buying one scratch-off ticket will be $42,400.
Given that:
25,000 scratch-off lottery tickets are sold by the state. Each entry fee is $2. One hundred tickets will reward the player $10, twenty-five tickets will win the player $100, and one ticket will win the player $5000 out of the total of 25,000 tickets.
The expected value of buying one scratch-off ticket is calculated as,
Expected value = $2 x 25,000 - ($10 x 100 + $100 x 25 + $5,000 x 1)
Expected value = $50,000 - ($1,000 + $2,500 + 5,000)
Expected value = $50,000 - $7,600
Expected value = $42,400
More about the expected value link is given below.
https://brainly.com/question/29574962
#SPJ1
Related Questions
result step by step of this simple but yet hard for me exercise
Answers
Answer:
The anser is
Step-by-step explanation:
DO IT YOURSELF BRO GO LEARN AND STOP USING BRAINLY PU_$$y
Angle and Kenny play online video games. Angle buys 1 software package and 4 months of game play. Kenny buys 1 software package and 1 month of game play. Each software
package costs $25. If their total cost is $130, what is the cost of one month of game play?
Answers
Answer:
$16
Step-by-step explanation:
Altogether, they bought 2 packages and 5 months of game play.
The combined cost of the packages is 25(2)=$50, so the 5 months cost 130-50=$80.
Dividing this by 5, we get $16.
Find the domain and range of the relation. (Enter your answers as a comma-separated list.) {(-8, 8), (4, 9), (1, 6), (8, -8)}
Answers
Simplify the expression so there is only one positive power for the base, -5.
Answers
Answer:
c
Step-by-step explanation:
it's a property of powers, when the base is the same (-5) , you need to
sum the powers when both terms are multiplyng
subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)
Twelve cards are numbered from 1 to 12 and placed in a box. One card is selected at random and not replaced. Another is randomly selected. What is the probability of selecting two even numbers?
Answers
In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:
In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).
The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22
For more questions on: probability
https://brainly.com/question/23417919
#SPJ8
Find the surface area of the box shown
Answers
7. Find the volume of the square pyramid given the slant height of 13 ft.4pts13 ft10 ft10 ft
Answers
Answer:
400 ft³
Explanation:
The volume of a square pyramid can be calculated as:
\(V=\frac{1}{3}a^2h\)Where a is the side of the square and h is the height of the pyramid.
Now, we need to calculate the height using the slant height, so we will use the following equation:
\(h=\sqrt[]{s^2-\frac{a^2}{4}}\)So, the height of the pyramid is equal to:
\(\begin{gathered} h=\sqrt[]{13^2-\frac{10^2}{4}} \\ h=\sqrt[]{169-\frac{100}{4}} \\ h=\sqrt[]{169-25} \\ h=\sqrt[]{144} \\ h=12 \end{gathered}\)Then, the volume of the square pyramid is equal to:
\(\begin{gathered} V=\frac{1}{3}(10)^2(12) \\ V=\frac{1}{3}(100)(12) \\ V=400 \end{gathered}\)Therefore, the answer is 400 ft³
Of all awarded prizes, 10% are worth $1000, 20% are worth $100, and 70% are worth $10. Find the expected winnings if you purchase a single ticke
Answers
Answer:
$127
Step-by-step explanation:
\((.10 \times 1000) + (.20 \times 100) + (.70 \times 10) = 100 + 20 + 7 = 127\)
What is Max’s final number of his number if his starting number is 7?
Answers
Answer:
30
Step-by-step explanation:
(n+8)=2(7+8)=2(15)=30
Answer:
30
Step-by-step explanation:
Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
Answers
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
For similar question on population sample.
https://brainly.com/question/27859177
#SPJ8
College level Trigonometry any help will do!!
Answers
The magnitude of the resultant force is approximately 9.07 lb.
We have,
To use the parallelogram rule to find the magnitude of the resultant force for the two forces, we first draw a diagram:
B (11 lb)
/|
/ |
/ |
/ |
/ |
/ |
/θ |
/ |
A (7 lb) |
\ |
\ |
\ |
\ |
\ |
\ |
\ |
\|
C
where A and B are the magnitudes of the given forces, and θ is the angle between them.
Using the parallelogram rule, we draw a parallelogram with sides AB and BC:
B (11 lb)
/|
/ |
/ |
/ |
/ |
/ |
/θ |
/ |
A (7 lb) D
\ |
\ |
\ |
\ |
\ |
\ |
\ |
\|
C
The diagonal BD represents the magnitude and direction of the resultant force.
To find its magnitude, we use the Law of Cosines:
BD^2 = AB^2 + BC^2 - 2(AB)(BC)cos(θ)
BD^2 = (7 lb)^2 + (11 lb)^2 - 2(7 lb)(11 lb)cos(133 degrees)
BD^2 = 49 + 121 - 2(77)cos(133 degrees)
BD^2 = 170 - 154cos(133 degrees)
BD ≈ 9.07 lb (rounded to two decimal places)
Therefore,
The magnitude of the resultant force is approximately 9.07 lb.
Learn more about the parallelogram rule here:
https://brainly.com/question/28244212
#SPJ1
Can credit a customers account up to 20% of full amount due. Customers bill is 333.00, I could offer a credit of?
Answers
I could offer a credit of $66.6.
What is percentage?A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.
The given bill of customer = $333.0.
Credit can be given to customer = 20%
Now,I can credit a customers account up to 20% of full amount due
For credit off to be offer,we need to find 20% of $333
⇒ 20% of $333 = 20/100*333
⇒ 20% of $333 = $66.6
Hence, I could offer a credit of $66.6
More about percentage :
https://brainly.com/question/17811805
#SPJ1
Mitch dog sits for the family next door. They pay him $3.00 per day. if they go vacationing for 2 weeks how much money will mitch earn.
Answers
Answer:
If the family goes on a vacation for 2 weeks, (14 days) Mitch will earn $42.00
Step-by-step explanation:
Given:
Mitch is payed $3.00 for each day.The family goes on a vacation for 2 weeks. (14 days)Our equation:
3.00(14)=x
Let's solve:
3.00(14)=x
42.00=x
Mitch has sitted the dog for 14 days, and he has been payed $42.00
Find the Area in yards.
12 mi
6.9 mi
Answers
Answer:
82.8
Step-by-step explanation:
multiply the 2
1 2
6.9
9×2=18
9×1=9
10.8
72.0
____
82.8
The following table shows the coordinates for a triangle and the coordinates for its image. The triangle is mapped
onto its image by a dilation. Draw the triangle and its image on a coordinate plane.
Pls help! Thanks
Answers
Answer:
Th (0,0)
the centre of dialation
Order from Least to Greatest:
1/4
-0.8
0.5
-1.2
Answers
Answer:
-1.2,-0.8,1/4,0.5
Step-by-step explanation:
hope this helps :D
Edna transferred a balance of $1400 to a new credit card at the beginning of
the year. The card offered an introductory APR of 2.9% for the first 3 months
and a standard APR of 22.1% thereafter. If the card compounds interest
monthly, which of these expressions represents Edna's balance at the end of
the year? (Assume that Edna will make no payments or new purchases during
the year, and ignore any possible late payment fees.)
Answers
Answer:
(1400)(1+0.029/12)3(1+0.221/12)9
Step-by-step explanation:
A p e x
Answer:
Step-by-step explanation:
Just so you know how it looks on the page
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Answers
Since the volume of the pyramid is 18 cubic inches, then the volume of the prism is 3 times that amount which is 54 cubic inches 2.
Therefore, the answer is D. 54 cubic inches.
max stores his paintbrushes in a box shaped like a rectangular prism. he can fill the bottom of the box with 48 one inch cubes. if the box is 4 inches tall,what is the volume
Answers
Answer:
192 inches^3 or 192 cubic inches
Step-by-step explanation:
48 one inch cubes means the base area is 48inches^2. 48inches^2 multiplied by 4 inches = 192inches^3
Answer: 192 square inches
Step-by-step explanation: it says that he can fill the bottom of the box with 48 once inch cubes, and since the cubes are an inch tall, the cubes would cover an inch of the box's height. The box's total height is 4, so you would need to multiply 4 by 48 to get the total number of cubes that can fit in the box, aka the volume of the box.
URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?
Select one:
a.
mean
b.
mode
c.
range
d.
interquartile range
Answers
The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.
The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.
Here's how they can use the range to evaluate the effectiveness of the equipment changes:
Collect the measurements of all 25 muffins.
Determine the maximum and minimum measurements.
Calculate the range by subtracting the minimum measurement from the maximum measurement.
If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.
Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
For more such answers on range
https://brainly.com/question/30389189
#SPJ11
he program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options.
63%, 63%, 63%
66%, 69%, 72%
66%, 62%, 58%
63%, 65%, 67%
67%, 72%, 77%
Answers
Sets of values that could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits are -
66%, 69%, 72%
63%, 65%, 67%
What is intensity?
In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.
The program recommends a pattern of constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern.
Let's call the starting intensity level "x".
Then the intensity levels for the first 3 visits are all equal to x, the intensity levels for the next 3 visits are increasing, and the intensity levels for the following 3 visits are decreasing.
To determine which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits, we need to follow the pattern.
If the intensity level for the first 3 visits is x, then the intensity levels for the next 3 visits are x plus some value y, and the intensity levels for the following 3 visits are x plus some value z, where y and z are positive.
If we assume that the initial intensity level x is some value between 60% and 70%, then we can eliminate the last option of 67%, 72%, and 77% because the initial intensity level is too high.
Now let's check the remaining options -
63%, 63%, 63%: This set of values corresponds to a pattern of constant intensity for all 9 visits, which is not consistent with the program's recommendation.
Therefore, this option is not valid.
66%, 69%, 72%: This set of values corresponds to a pattern of increasing intensity over 3 visits, which is consistent with the program's recommendation.
Therefore, this option is valid.
66%, 62%, 58%: This set of values corresponds to a pattern of decreasing intensity over 3 visits, which is not consistent with the program's recommendation.
Therefore, this option is not valid.
63%, 65%, 67%: This set of values corresponds to a pattern of increasing intensity followed by decreasing intensity, which is consistent with the program's recommendation.
Therefore, this option is valid.
Therefore, there are only two valid options -
66%, 69%, 72%
63%, 65%, 67%
To learn more about intensity from the given link
https://brainly.com/question/28145811
#SPJ1
Which is more, 6 liters or 6,001 milliliters?
Answers
Answer: 6,001 milliliters
Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.
Answer:
I believe 6 liters is more.
A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.
Answers
The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.
To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.
Since the owner wants the total cost to be under $2000, we can set up the inequality:
43H + 750 < 2000
Now, let's solve this inequality for H, the number of hours:
43H < 2000 - 750
43H < 1250
Dividing both sides of the inequality by 43:
H < 1250/43
To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.
Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:
H < 29
Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.
By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.
For more such question on cost. visit :
https://brainly.com/question/2292799
#SPJ8
Shen bought a desk on sale for $218.40. This price was 72% less than the original price. What was the original price?
Answers
Answer:
780
Step-by-step explanation:
In this example we will call Original Price = y
72%=0.72
218.40=0.72*y
1-0.72=0.28
218.4÷0.28=780
HELPP!!
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 15 gallons of water. Ryan used 6.8 gallons to water his garden in June and 5 and one-eighth gallons in July. How much water is left in the barrel?
1.) 3.075 gallons
2.) 5.125 gallons
3.) 5.178 gallons
4.) 16.675 gallons
Answers
Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:
1.) 3.075 gallons.
How to find the remaining amount of water in the barrel?
To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.
We have that:
The initial amount was of 15 gallons.The amount used was of: 6.8 + 5 + 1/8(relative to the one-eight) = 11.925 gallons.Hence the remaining amount is:
15 - 11.925 = 3.075 gallons.
Which means that option 1 is correct.
More can be learned about the subtraction between two amounts at https://brainly.com/question/17301989
#SPJ1
Answer: 3.075 gallons
Step-by-step explanation:
A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answers
Answer: 400
Step-by-step explanation:
Helpp please I don’t understand :(
Answers
Answer:
s = 2 1/3 + 1/2
t = 2/3 + 3/2
We have to find the sum of both s and t.
2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6
2/3 + 3/2 = 4/6 + 9/6 = 13/6 = 2 1/6
If we look at the number lines, we can see that c matches with both points.
Evaluate 3x^2-2x+8 when x=3
Answers
Step-by-step explanation:
f(x) = 3x² - 2x + 8 , x = 3
f(3) = 3.3² - 2.3 + 8
= 27 - 6 + 8
= 29
Area of composite shapes!!
Answers
Answer:
Either 24 cm^2 or 28 cm^2
Step-by-step explanation:
I can't remember if the calculated area of the part of the shape which is removed is halved or not, if it's cut in half then the answer is 28 otherwise it's 24.
It's either
32 - 8 = 24
32 - 4 = 28
Quadrilateral TUVW is a rhombus and m∠SVU=4z+56°. What is the value of z?WTUVS26°z=°Submit
Answers
From the question, we were told:
TUVW is a rhombus
Angle SUV = 4z + 56˚
We are asked to find the value of z.
From the diagram, we can see that angle SVU is 90˚
So, to get the value of z, we equate the value of SVU to 90˚
4z + 56˚ = 90˚
subtract 56˚ from both sides:
4z + 56 - 56 = 90 - 56
4z = 34
divide both sides by 4 to make z the subject of formula:
z = 34/4
z = 8.5