Nuan gives her friend Saúl a lottery ticket for his birthday. The ticket cost Nuan
$
5
$5dollar sign, 5, and the back of the ticket says, "The overall odds of winning a prize with this ticket are
1
:
50
1:501, colon, 50, and the expected return for this ticket is
$
2.50
$2.50dollar sign, 2, point, 50."
Saúl says, "If
1
,
000
1,0001, comma, 000 people each bought one of these tickets, they'd have spent
$
5
,
000
$5,000dollar sign, 5, comma, 000 in total and only get back about
$
2
,
500
$2,500dollar sign, 2, comma, 500."
Nuan says, "If we looked at many of these tickets, the average return would be about
$
2.50
$2.50dollar sign, 2, point, 50 per ticket."
Whose statement is correct based on the expected value?
Answers
Answer:
both statements are correct
Step-by-step explanation:
Answer:
Both statements are correct
Step-by-step explanation:
Khan Academy
Related Questions
if we want to provide a 99onfidence interval for the mean of a population, what will the confidence coefficient be?
Answers
If we want to provide a 99% confidence interval for the mean of a population, the confidence coefficient will be 0.99. This means that there is a 99% probability that the true population mean falls within the calculated interval.
The confidence coefficient for a confidence interval represents the level of confidence we have in our estimate.
In the case of a 99% confidence interval, the confidence coefficient is 0.99. This means that we are 99% confident that the true population mean falls within the calculated interval. The confidence coefficient is derived from the desired level of confidence, which is typically expressed as a percentage.
A higher confidence level corresponds to a larger confidence coefficient. In practical terms, a 99% confidence interval indicates that if we were to repeat the sampling process multiple times and construct 99% confidence intervals, approximately 99% of those intervals would contain the true population mean.
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The function f(t) = 6500(1.85)^365t represents the change in a quantity over t years. What does the constant 1.85 reveal about the rate of change of the quantity?
Answers
Here, we want to know what the constant reveal
The growth factor inside the bracket as can be seen is greater than 1
It can also be less than 1
When it is greater than 1, there is an indication of a positive change from year to year
1.85 is greater than 1 and as such, we have an indication for a positive change
That means, as the years roll by, there will be a greater value of the quantity
Hence, as t increases, f(t) increases
To find the percentage growth rate, we subtract 1 from the growth value which is (1.85-1) = 0.85
0.85 represents a percentage of 85%; and thus there is a growth rate of 85% per year
The expression -7y is a
a. term
b. variable
c. constant
Answers
Answer:
the answer is a) term
Step-by-step explanation:
hope this helps! :)
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HELP!The composite scores of individual students on the ACT college entrance examination in 2019 followed a Normal distribution with mean 20.8 and standard deviation 5.8
Use this to answer the 3 questions below
Answers
Answer:
Step-by-step explanation:
Round these as you see fit (these are exact values, if you're supposed to use a normal table leave a comment)
1.) 0.418045324790463
2.)0.0717364877620478
3.) 0.0192746613260287
PLEASE HELP !!!!!!??
Answers
Answer:
( 1, 35 )
Step-by-step explanation:
y=mx+c
c= y-intercept ( where the graph line crosses the cross line)
c=0
mx = gradient ( rise/run, up/across )
mx = 175/5 ( you could have picked any point in the graph )
mx = 35
the m is useless now so we discard it
y= 35x+0
if x = 1
then y = 35(1)+0
y= 35
at the coordinate x=1 y is 35
Alex knits hats and scarves to sell at an art fair. He can make at most 20 hats and 30 scarves, but no more than 40 items altogether, in time for the art fair. Write and graph a system of inequalities that show possible numbers of hats and scarves Alex can bring to the art fair if he wants to bring at least 25 items.
Answers
Let h be the number of hats and s be the number of scarves that Alex can bring to the art fair. Then, the system of inequalities can be written as:
h ≤ 20 (since he can make at most 20 hats)
s ≤ 30 (since he can make at most 30 scarves)
h + s ≤ 40 (since he can make no more than 40 items altogether)
h + s ≥ 25 (since he wants to bring at least 25 items)
To graph this system of inequalities, we can plot the lines h = 20, s = 30, h + s = 40, and h + s = 25, and shade the region that satisfies all the inequalities. The resulting graph will be a quadrilateral with vertices at (20, 0), (0, 30), (10, 15), and (20, 5). The shaded region will be the area inside this quadrilateral that is above the line h + s = 25.
A company has offices in 3 different cities and a total of 480 workers. there are 90 workers in new york and 130 workers in denver. the rest of the workers are in san diego. which number line represents the number of workers in san diego?
Answers
Number line that number of workers in San diego is 260, 290, 320, 350, 380, 410, 440, 470, 500. The correct answer is 260
To find the number of workers in San Diego, we need to subtract the number of workers in New York (90) and Denver (130) from the total number of workers (480). Subtracting 90 and 130 from 480, we get 260. This means that 260 workers are in San Diego.
The number line represents the possible number of workers in San Diego. Since there are only three cities, the number of workers in San Diego must be positive (as there are workers in that city). Therefore, we can eliminate numbers less than 0. Additionally, the number of workers in San Diego cannot exceed the total number of workers (480). Thus, we can eliminate numbers greater than 480.
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please need help! it’s discrete math!!
Answers
Answer:
B
Step-by-step explanation:
It's easy.
Answer:
Free
is all I see
Step-by-step explanation:
Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer). Suppose that X has a gamma distribution with mean value 37.5 ms and standard deviation 21.6 (suggested by the article "Computation Time of Grid Computing with Data Transfer Times that Follow a Gamma Distribution, † ). (a) What are the values of α and β ? (Round your answers to four decimal places.) α=
β=
(b) What is the probability that data transfer time exceeds 45 ms ? (Round your answer to three decimal places.) (c) What is the probability that data transfer time is between 45 and 76 ms ? (Round your answer to three decimal places.)
Answers
(a) The values of α and β for the gamma distribution are α=4.35 and β=0.1296.
(b) The probability that data transfer time exceeds 45 ms is 0.560.
(c) The probability that data transfer time is between 45 and 76 ms is 0.313.
(a) In a gamma distribution, the shape parameter (α) and the rate parameter (β) determine the distribution's characteristics. Given the mean (μ) and standard deviation (σ) of the gamma distribution, we can calculate α and β using the formulas α = (μ/σ)^2 and β = σ^2/μ.
For this problem, the mean (μ) is given as 37.5 ms and the standard deviation (σ) is given as 21.6 ms. Plugging these values into the formulas, we find α = (37.5/21.6)^2 ≈ 4.35 and β = (21.6^2)/37.5 ≈ 0.1296.
(b) To find the probability that data transfer time exceeds 45 ms, we need to calculate the cumulative distribution function (CDF) of the gamma distribution at that value. Using the parameters α = 4.35 and β = 0.1296, we can find this probability. The answer is 1 - CDF(45), which evaluates to 0.560.
(c) To find the probability that data transfer time is between 45 and 76 ms, we need to calculate the difference between the CDF values at those two values. The probability is CDF(76) - CDF(45), which evaluates to 0.313.
In summary, the values of α and β for the given gamma distribution are α = 4.35 and β = 0.1296. The probability that data transfer time exceeds 45 ms is 0.560, and the probability that data transfer time is between 45 and 76 ms is 0.313.
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What is the value of ry' when x = 5 and y = 10?
Answers
Answer:
135
Step-by-step explanation:
Answer:
1250
Step-by-step explanation:
X^3 • Y^1
Since X=5 & Y=10,
Substitute
5^3 •10^1
simplify
5*5*5*10=1250
Name an irrational number ( in radical form ) located between 7 and 8. Explain your answer.
Answers
Answer:
\(\sqrt{59}\)
Step-by-step explanation:
7^2 is 49 and 8^2 is 64, which means the square root of any number between 49 and 64 (exclusive) will be in between 7 and 8, and it's also going to be irrational, because it's not a perfect square.
One number between 49 and 64 is 59, so \(\sqrt{59}\) is an irrational number between 7 and 8
11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
Answers
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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Line b passes through the points (2, -6) and (-8, 9). Which equation represents a line that is perpendicular to line b that passes through the point (-12, -3)?.
Answers
An equation that represents a line that is perpendicular to line b which passes through the points (2, -6) and (-8, 9), and that passes through the point (-12, -3) is 3y = 2x + 15.
Line b passes through the points (2, -6) and (-8,9). Therefore the slope of line b is
slope = Δy/ Δx
= (9 - (-6))/ (-8 - 2)
= -1.5
Slope of two perpendicular lines follows the property that product of their slopes equals -1. Therefore slope of a line perpendicular to line b, m is
m × (-1.5) = -1
m = 2/3
Therefore we have slope of the line and and a point through which the line passes, (-12, -3). The general equation of a straight line is y = mx + c. Substituting m = 2/3 and the point (-12, -3) we can find the value of c.
-3 = 2/3 × (-12) + c
c = 8 - 3 = 5
Therefore the equation of line is y = 2/3x + 5, that is 3y = 2x + 15.
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Choose the polynomial that is written in standard form. Select one:
a. -3x³y² + 4x³y + 10x²
b. -8xy² + 4x^y² + 3x³
c. x¹y² + 4x³y² + 10x^4
d. x^6y^2 + 4x³y + 10x^7
Answers
The polynomial that is written in standard form is: d. x^6y^2 + 4x³y + 10x^7
What is polynomial that is written in standard form.?The standard form of a polynomial is written with the terms in descending order of their degree (highest degree first) and each term is written with its coefficient and variables raised to their respective exponents.
This polynomial is in descending order of degree, with the term x^6y^2 having the highest degree and the term 4x³y having the lowest degree. Also, the coefficients of each term and the variables raised to their respective exponents are written in a clear and consistent manner.
Therefore the correct option is D.
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which of the following would be a line of reflection that would map abcd onto itself? square abcd with c at 1 comma 3, d at 1 comma 1, a at 3 comma 1, and b at 3 comma 3. y = 1 2x + y = 2 x + y = 4 x + y = 1
Answers
The line of reflection would be x+y =4, Hence the correct option is C.
The equation of a line's standard form is given as follows:
\(y = mx+c\)
Where m is the slope and c is the y-intercept of the line.
The slope can be determined by
\(m =\dfrac{(y_2 - y_1)}{(x_2 - x_1)}\)
Now, Along its diagonals should be reflected in order to reflect it back to itself.
The diagonals will pass through the points \(A(3, 1)\) and \(C( 1,3)\)
Hence, The slope of the line is,
\(m =\dfrac{(y_2 - y_1)}{(x_2 - x_1)}\)
\(m =\dfrac{(3 - 1)}{(1 - 3}\)
\(m =\dfrac{(2)}{(- 2)}\)
\(m = - 1\)
Hence, The equation of the line AC,
\((y - y_1) = m(x-x_1)\)
It passes through the point (1,3)
\((y - 3) = -1( x-1 )\)
\(y - 3 = -x +1\)
\(y +x =4\)
Therefore, Option C is true.
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Suzette made a bowl of punch for her party. She used 2 1/4 cups of orange juice and 3 1/2 cups of pineapple juice. She filled the container up to a total of 8 cups with mango nectar. How many mango nectar did she add? Show your work
Answers
To find out how many cups of mango nectar Suzette added, we need to subtract the combined amount of orange juice and pineapple juice from the total volume of the punch, which is 8 cups. Therefore Suzette added 9/4 cups of mango nectar to the punch bowl for her party.
The amount of orange juice used is 2 1/4 cups, which can be expressed as a mixed number or converted to an improper fraction as 9/4 cups. The amount of pineapple juice used is 3 1/2 cups, which can be expressed as a mixed number or converted to an improper fraction as 7/2 cups.
Now, let's calculate the sum of orange juice and pineapple juice: 9/4 + 7/2 = (9/4) + (14/4) = 23/4 cups. To determine the amount of mango nectar added, we subtract the sum of orange juice and pineapple juice from the total punch volume: 8 - 23/4 = (32/4) - (23/4) = 9/4 cups. Therefore, Suzette added 9/4 cups of mango nectar to the punch.
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which expression represents 7 less than the product of 11 and 4 .
Answers
The lines on a 2-cup liquid measuring cup divide each cup into eighths If you measure 1 3/4 cups of water between which two quantities can you be certain that your exact measurement will be
Answers
Answer:
The line between 1 5/8 and 1 7/8 is exactly 1 3/4.
Step-by-step explanation:
1 3/4 = 1 6/8
Since the lines are every 1/8 of a cup, there are a total of 16 lines indicating 1/8 of a cup for a total of two full cups.
1/8 less than 1 6/8 is 1 5/8.
1/8 more than 1 6/8 is 1 7/8.
The line between 1 5/8 and 1 7/8 is exactly 1 3/4.
Barbara started a new job and wants to verify that her net pay has been computed correctly. Her gross pay per pay period is $269. 75. She has the following deductions: FICA tax 6. 2%, Medicare tax 1. 45%, federal withholding tax $47. 51, state withholding tax $16. 62, retirement insurance contribution $9. 00, disability insurance fee $2. 56, medical insurance fee $12. 00, and dental insurance fee $6. 0. What should her net pay be for this pay period?
Answers
Barbara's net pay for this pay period, after deducting taxes and
insurance
fees, should be $155.41.
To calculate Barbara's net pay, we need to subtract the total deductions from her gross pay.
First, let's calculate the FICA
tax deduction
. FICA tax is 6.2% of the gross pay. To find the FICA tax amount, we can multiply the gross pay by 6.2%:
FICA tax = $269.75 * 0.062 = $16.74
Next, let's calculate the
Medicare
tax deduction. Medicare tax is 1.45% of the gross pay. We can find the Medicare tax amount by multiplying the gross pay by 1.45%:
Medicare tax = $269.75 * 0.0145 = $3.91
Now, let's calculate the total federal and state withholding tax deductions. The
federal
withholding tax is $47.51, and the state withholding tax is $16.62:
Total withholding tax = $47.51 + $16.62 = $64.13
Next, let's calculate the total insurance deductions. The retirement insurance contribution is $9.00, the disability insurance fee is $2.56, the medical insurance fee is $12.00, and the dental insurance fee is $6.00:
Total insurance deductions = $9.00 + $2.56 + $12.00 + $6.00 = $29.56
Now, we can calculate the total deductions by adding up all the deductions:
Total deductions = FICA tax + Medicare tax + Total withholding tax + Total insurance deductions
Total deductions = $16.74 + $3.91 + $64.13 + $29.56 = $114.34
Finally, we can calculate Barbara's net pay by subtracting the total deductions from her gross pay:
Net pay =
Gross pay
- Total deductions
Net pay = $269.75 - $114.34 = $155.41
Therefore, Barbara's net pay for this pay period should be $155.41.
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f 75 grams of ice cream contains 10 grams of fat how many grams of fat would be in 150 grams of ice cream? Answer:
Answers
If 75 grams of ice cream contains 10 grams of fat, then 150 grams of ice cream would contain 20 grams of fat. The amount of fat is directly proportional to the weight of the ice cream.
We can set up a proportion to solve the problem. Let x represent the unknown amount of fat in 150 grams of ice cream. According to the given information, we have the proportion:
10 grams of fat / 75 grams of ice cream = x grams of fat / 150 grams of ice cream
To solve for x, we can cross-multiply and then divide:
10 * 150 = 75 * x
1500 = 75x
X = 1500 / 75 = 20
Therefore, 150 grams of ice cream would contain 20 grams of fat. This is because the ratio of fat to ice cream remains constant, so we can use this proportion to find the missing value.
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To reserve a village hall costs 110 GBP plus 18 GBP an hour. How much does it cost to book the hall for 5 hours?
Answers
Answer:
£640
Step-by-step explanation:
110+18=128
128×5=640
answer is £640
For brainliest and points
Answers
Answer:
It's too small to read
Step-by-step explanation:
Answer:
16. A
Step-by-step explanation:
I need a quick reply if possible
Answers
Answer:d
Step-by-step explanation:
Answer:
d is the answer to your question
y is proportional
to x
y = 72 when x = 12
Write a direct
proportion
equation.
A. y = 12x
B. y = 6x
C. 72x = 12
D. 7 x 12 = y
Answers
Answer:
B :) (im sure btw)
Step-by-step explanation:
I will mark brainliest the first 2 people that answer my question first
Answers
Answer:
I believe it is 136° hope it helps
Which expression is equivalent to the expression -3 (4r - 2) -2r?
Answers
Answer:
-14r + 6
Step-by-step explanation:
-12r + 6 - 2r
There are 300 boys in a mixed school. If the ratio of the boys to the girls is 4:5 what is the total number of students in the school?
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
4 : 5
300 : ?
Divide 300 by 4 to find out what '1 part' would count as:
300/4 = 75
Multiply this by 5
75 x 5 = 375
Add the two values together
375 + 300 = 675
There are 675 students
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Step-by-step explanation:
Number of boys=300
Ratio of boys to girls=4:5
let the number of girls=y
300/y=4/5
Cross multiply
300×5=4×y
1500=4y
Divide through both sides by 4
1500/4=4y/4
374=y
Number of girls is 375
Total number of students=Number of boys+Number of girls
Total number of students=300+375
Total number of students=375
Assume that the lights in your kitchen use 300 watts. How much energy and how much does it cost to leave the lights on 24 hours a day for a week if electricity is 8cents/kilowatt hour
Answers
Leaving the lights on in your kitchen for 24 hours a day for a week would consume 504 kilowatt-hours of energy and cost $40.32.
Leaving the lights on in your kitchen for 24 hours a day for a week would consume a total energy of 504 kilowatt-hours (kWh). To calculate this, we convert the power of 300 watts to kilowatts by dividing it by 1000 (300 watts = 0.3 kilowatts). Then, we multiply the power (0.3 kW) by the number of hours in a week (24 hours/day * 7 days/week = 168 hours) to get the total energy consumption in kilowatt-hours (0.3 kW * 168 hours = 50.4 kWh).
To determine the cost, we multiply the total energy consumption (504 kWh) by the electricity rate of 8 cents/kilowatt-hour. Multiplying 504 kWh by $0.08/kWh gives us a total cost of $40.32.
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a basketball team torunament has 9 teams. every team will place against another team. how many games will there be
Answers
Answer:
72 games in total
Step-by-step explanation:
hope this helps :)
Evaluate the expression 120n+160,500120n+160,500 when n=32n=32.
Answers
Answer: The answer should be 164,340.