the probability that frank scores a penalty is 0.86, frank is going to take 50 penalties, work out an estimate for the number of times he will score?
Answers
The estimate is that Frank will score about 43 times out of 50 penalties
What is the estimate for the number of times Frank will score?If the probability of Frank scoring a penalty is 0.86, then the probability of him missing a penalty is:
P(miss) = 1 - P(score)
P(miss) = 1 - 0.86
P(miss) = 0.14
Assuming that each penalty is independent of the others, the number of times he will score can be modeled by a binomial distribution with n = 50 (the number of trials) and p = 0.86 (the probability of success).
The expected value or mean of a binomial distribution with parameters n and p is given by:
E(X) = np
Therefore, the expected number of times Frank will score out of 50 penalties is:
E(X) = n × p
E(X) = 50 × 0.86
E(X) = 43
Therefore, the expected number of times Frank will score is 43.
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Related Questions
pls answer question due in 10 mins (ignore circle marked blue it was an accident)
Answers
Answer: no solution
Step-by-step explanation:
x = 4
it would be -1/2 = 0 so that's not right
x = 0
it would be 1 = -2
well the first and second won't work.
all real numbers doesn't seem like the right answer
so best answer would be no solution.
If 3a = 4b = 5c then what is the ratio A:B:C?
Answers
Answer: 20:15:12
Step-by-step explanation:
First, find the LCM of the numbers 3 4 5 which is 60
Then divide 60 by 3 4 and 5
We get 20 15 and 12 in order so that's the ratio
20:15:12
pls answer!!
In the figure below, ABC is similar to FED. Find the length of BC.
Answers
a cylinder of radius and height has volume a. use the linear approximation to show that b. estimate the percentage increase in if and are each increased by c. the volume of a certain cylinder is determined by measuring and which will lead to a greater error in : a 1% error in or a 1% error in ?
Answers
A 1% error in r will lead to a larger error in the volume.
A 1% error in r will cause a larger error in the volume, since the percentage increase in volume is proportional to the square of r.
The volume of a cylinder of radius r and height h is V = πr2h. The linear approximation to the volume of a cylinder is given by V ≈ πr2(h + r).
Thus, the percentage increase in volume when r and h are each increased by c is given by 100% × (Vnew - Vold) / Vold = 100% × (π(r + c)2(h + c + r) - πr2h) / πr2h = 200c/r + 100c/h.
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Hi again I also need help with this problem I need to find the area and perimeter of this shape also
Answers
Check the picture below.
let's recall that on an isosceles triangle, twin sides make twin angles.
What are three key takeaways from the history of credit in America.
Answers
The first credit card was Diners Membership Card in 1950. In 1951 the Franklin National Bank issued the first credit card on Long Island, New York.
Credit card profitability didn't last very long before the others saw it, and by 1953 the United States has 60 credit card software.It has recorded the capacity to repay debts and has demonstrated its responsibility.The key purchases from US credit history are as follows:
The history of credit is a record of your debt repayment capabilities and your responsibility.The credit accounts type and number that users credited, the length of the opening of your account, the amount owing, the quantity of credit available, whether you are paying the bill on time, and the number of new credit requests.Benefits will be earned because of strong credit histories, such as cheaper loans and car insurance rates.Learn more:
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row equivalent matrix method
4x-3y=11
3x+7y=-1
Answers
[4 -3 11 | 0]
[3 7 -1 | 0]
We want to eliminate the x-coefficient in the second row. To do this, we subtract 3/4 times the first row from the second row:
[4 -3 11 | 0]
[0 25/4 -25/4 | 0]
Next, we want to eliminate the y-coefficient in the first row. To do this, we add 3/4 times the second row to the first row:
[4 0 1 | 0]
[0 25/4 -25/4 | 0]
Now we have a triangular matrix, which we can solve by back substitution. From the second row, we get:
25/4*y = 25/4
y = 1
Substituting y = 1 into the first row, we get:
4x = -1
x = -1/4
Therefore, the solution to the system of linear equations is:
x = -1/4, y = 1.
Tamara is making a large omelet and needs 1/2 cup of chopped tomatoes. She only has 1/8 cup measuring cup. how many times should Tamara fill this measuring cup for the tomatoes. A.1 b. 2 c. 4 d.8
Answers
Answer:
c. 4
Step-by-step explanation:
4/8=1/2 so she would need 4 of the 1/8 cups
if f(x)=-5x+2 and g(x)=1/2x+4 findf(g(12)
Answers
Answer:
x/2+4
Step-by-step explanation:
Answer:
-48
Step-by-step explanation:
First substitute x with 12 g(x)=1/2x+4
g(12) = 1/2(12) + 4
Simplify
g(12) = 10
Now solve f(10) = -5(10) + 2
-50 + 2 = -48
a rare coin is currently worth $450. the value of the coin increases 4% each year. determine the value of the coin after 7 years.
Answers
Answer:310.45
Step-by-step explanation:
Consider the random process y(t) = x(t) cos (w0t + q), where x(t) is stationary with
autocorrelation function Rx (t) and power spectral density Sx (w). If q is a uniformly
distributed random variable over the range 0 < q < 2p, find the autocorrelation and power
spectral density of y(t). Assume x(t) and q are independent.
Answers
Autocorrelation function of y(t) is Ry(τ) = E[y(t)y(t+τ)] = (1/2)Rx(τ)cos(w0τ) and power spectral density of y(t) is equal to Sy(w) = (1/2)Sₓ(w-w0) + (1/2)Sₓ(w+w0).
Autocorrelation function of y(t) is calculated E[y(t)y(t+τ)]
y(t)y(t+τ) = x(t)cos(w0t+q) x(t+τ)cos(w0(t+τ)+q)__(1)
We know,
cos(A +B) = cos(A)cos(B) - sin(A)sin(B)
Apply formula in(1) we get,
y(t)y(t+τ) = x(t)x(t+τ)cos(w0t+q)cos(w0τ) - x(t)x(t+τ)sin(w0t+q)sin(w0τ)
x(t) and q are independent.
Taking the expected value of both sides we get,
⇒E[y(t)y(t+τ)] = E[x(t)x(t+τ)]E[cos(w0t+q)cos(w0τ)] - E[x(t)x(t+τ)]E[sin(w0t+q)sin(w0τ)]
Expected value of cos(w0t+q)cos(w0τ) is equal to
E[cos(w0t+q)cos(w0τ)] = E[cos(w0t)cos(w0τ)cos(q) - sin(w0t)sin(w0τ)cos(q)] __(2)
As q is uniformly distributed over the range 0 < q < 2p
Expected value is equal to,
E[cos(q)]
=\(\int_{0}^{2\pi}\) cos(q) * 1/(2p) dq
= 0
Also, E[sin(q)] = 0
E[cos(q)sin(q)] = 0
Substitute in (2) we get,
E[cos(w0t+q)cos(w0τ)] = E[cos(w0t)cos(w0τ)] = (1/2)cos(w0τ)
Similarly,
E[sin(w0t+q)sin(w0τ)] = (1/2)cos(w0τ).
Substituting these values into the expression for E[y(t)y(t+τ)],
⇒E[y(t)y(t+τ)] = (1/2)Rx(τ)cos(w0τ)
Autocorrelation function of y(t) is equal to,
Ry(τ) = E[y(t)y(t+τ)] = (1/2)Rx(τ)cos(w0τ)
Fourier transform of the autocorrelation function is the power spectral density .
Power spectral density of y(t),
Sy(w) = Fourier[Ry(τ)]
= Fourier[(1/2)Rx(τ)cos(w0τ)]
Apply cos(A +B) = cos(A)cos(B) - sin(A)sin(B)
cos(w0τ) as the real part of exp(jw0τ).
Substituting this into Ry(τ),
Ry(τ) = (1/2)Rx(τ)Re[exp(jw0τ)]
Taking the Fourier transform of both sides,
Sy(w) = (1/2)Sₓ(w-w0) + (1/2)Sₓ(w+w0)
Therefore, autocorrelation function of y(t) is Ry(τ) = E[y(t)y(t+τ)] = (1/2)Rx(τ)cos(w0τ) and the power spectral density of y(t) is a sum of two shifted copies of the power spectral density of x(t), with peaks at w0 and -w0.
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An amusement park sells 2 kinds of tickets.
Tickets for children cost $1.50. Adult tickets
cost $4. On a certain day, 278 people entered
the park. On that same day the admission fees
collected totaled $792. How many children
were admitted on that day? How many adults
were admitted?
Please help!!
Answers
The park makes $792 in the day. This means that the number of adult ticket prices + child ticket prices = $792. So, we can model this as
1.50x + 4y = 792
Where x is the number of child tickets, and y is the number of adult tickets.
Now, we can also see that x+y = 278 because that’s how many people visited the park.
Since we have 2 equations, we can make them equal each other by rearranging for one of them, let’s do x.
First equation: 792 = 1.5x + 4y
Rearrange for x, x = 528 - (8/3)y
Second equation: 278 = x+y
Rearrange for x, x = 278 - y
Now since we wrote both equations that solve for x, we can make them equal to each other.
528 - (8/3)y = 278 - y
Use algebra to solve for y
y= 150
So, 150 adults. And since 278 people came, 278-150 = 128
x = 128
Answer: D
The sum of two numbers is 15. When three times the second number is subtracted from four times the first number,
the result is 4.
Enter the greater number of the two missing variables.
Answers
The two numbers are 7 and 8. The greater number of the two missing variables is 8.
To solve this problem, we will use the given information to create a system of equations. Let's define the two numbers as x and y. We are given:
1. x + y = 15
2. 4x - 3y = 4
We can solve this system of equations using substitution or elimination method. Here, we will use the substitution method. From equation 1, we can express y as:
y = 15 - x
Now, substitute this expression for y in equation 2:
4x - 3(15 - x) = 4
Distribute the -3:
4x - 45 + 3x = 4
Combine like terms:
7x = 49
Now, divide by 7:
x = 7
Now that we have found the value of x, we can find the value of y by substituting x back into the equation for y:
y = 15 - 7
y = 8
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Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000 signatures before she can schedule a meeting with the mayor. She already has 380 signatures. If each petition page holds 80 signatures, which inequality best shows how many more pages (p) Devin needs?
7 ≤ p
8 ≤ p
8 < p
9 < p
Answers
Answer:
The correct opion is;
7 ≤ p
Step-by-step explanation:
The number of signatures Devin needs to collect = 1,000 signatures
The numer of signatures Devin has already = 380 signatures
The number ofsignatures each petition page can hold = 80 signatures
Therefore;
The number of extra signatures required = 1,000 - 380 = 680 signatures
The number of petition pages required = 1,000 petitions /(80 signatures/page) = 12.5 pages
The number of pages already filled = 380 petitions /(80 signatures/page) = 4.75 pages
The number of pages remaining, p = 12.5 - 4.75 = 7.75 pages
Therefore, 7 ≤ p.
Answer:
the answer is A)7 ≤ p
Step-by-step explanation:
Find the weighted of the numbers 1 and 6 with a weight of 2/3 on the first number and 1/3 on the second
Answers
The weighted average of the numbers 1 and 6 is 2 2/3
What is the weighted average of two numbers?The weighted average of 1 and 6 in this instance, means the sum of the two numbers multiplied by their weights which are four-fifths and one-fourth respectively.
weighted average = (first number * weight of first number) + (second number * weight of second number)
first number = 1
weight of the first number = 2/3
second number = 6
weight of the second number = 1/3
weighted average = (1 * 2/3) + (6 * 1/3)
weighted average = 2/3 + 2
weighted average = 8/3 = 2 2/3
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System of equations 10x-3y-81=0
Answers
Solutions of equation: x = 6, y = - 7
Given the 2 equations
10x - 3y - 81 = 0 → (1)
- 5x - 7y - 19 = 0 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the x- term
- 10x - 14y - 38 = 0 → (3)
Add (1) and (3) term by term
- 17y - 119 = 0 ( add 119 to both sides )
- 17y = 119 ( divide both sides by - 17 )
y = - 7
Substitute y = - 7 into either of the 2 equations
Substituting y = - 7 into (1)
10x - 3(- 7) - 81 = 0
10x + 21 - 81 = 0, that is
10x - 60 = 0 ( add 60 to both sides )
10x = 60 ( divide both sides by 10 )
x = 6
Hence the equations can be solved in following manner.
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Please help I will give brainliest
Answers
Answer:
92 degrees
C
Step-by-step explanation:
The Perimeter of a Pallelogram is 140 cm
If one of the sides is longer than the other
by 10cm
find the length of each its side
Answers
Answer:
30 cm, 40 cm, 30 cm, 40 cm
Step-by-step explanation:
Let the sides of the parallelogram be x and (x + 10) cm
Perimeter of parallelogram = 140 cm
\(2 \{x + (x + 10) \} = 140 \\ \\ \{x + x + 10 \} = \frac{140}{2} \\ \\ 2x + 10 = 70 \\ \\ 2x = 70 - 10 \\ \\ 2x = 60 \\ \\ x = \frac{60}{2} \\ \\ x = 30 \: cm \\ x + 10 = 40 \: cm \\ \)
Thus, length of each side of the parallelogram are 30 cm, 40 cm, 30 cm, 40 cm.
a one-to-one relationship between two tables is indicated by a
Answers
A one-to-one relationship between two tables is indicated by a primary key in one table being used as a foreign key in the other table. It means each record in one table corresponds to exactly one record in the other table.
In a one-to-one relationship between two tables, a primary key in one table is used as a foreign key in the other table. This relationship is established to ensure that each record in one table corresponds to only one record in the other table.
For example, in the "Customers" and "Orders" tables, each customer can have only one order, and each order can belong to only one customer. The primary key "CustomerID" in the "Customers" table would be used as the foreign key in the "Orders" table.
This indicates that each record in the "Orders" table is associated with a specific customer in the "Customers" table, creating a one-to-one relationship. For example, in the "Customers" and "Orders" tables, each customer can have only one order, and each order can belong to only one customer.
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1. Andrea y Margarita decidieron compartir gastos en un apartamento, de manera proporcional a sus sueldos. Si Andrea gana $650.000 y Margarita gana $950.000 y, además los gastos de la casa son de $1’100.000 ¿Cuánto debe aportar cada una?
Answers
500,000 creo yo no sé puede ser
Laila participated in a dance-a-thon charity event to raise money for the Animals are Loved Shelter. The graph shows the relationship between the number of hours Laila danced, x, and the money she raised, y.
coordinate plane with the x-axis labeled number of hours and the y-axis labeled total raised in dollars, with a line that passes through the points 0 comma 20 and 5 comma 60
Determine the slope and explain its meaning in terms of the real-world scenario.
The slope is 12, which means that the student will finish raising money after 12 hours.
The slope is 20, which means that the student started with $20.
The slope is one eighth, which means that the amount the student raised increases by $0.26 each hour.
The slope is 8, which means that the amount the student raised increases by $8 each hour.
Answers
The slope of 8 indicates that for every hour Laila dances, she raises an additional $8. It represents the Rate of change in the Amount of money raised per hour.
The correct option is: The slope is 8, which means that the amount the student raised increases by $8 each hour.
In the given scenario, the graph represents the relationship between the number of hours Laila danced, denoted by x, and the money she raised for the Animals are Loved Shelter, denoted by y. The line passing through the points (0, 20) and (5, 60) helps to determine the slope of the line.
To calculate the slope, we can use the formula:
Slope (m) = (change in y) / (change in x)
Using the given points, we can calculate the change in y and change in x as follows:
Change in y = 60 - 20 = 40
Change in x = 5 - 0 = 5
Plugging these values into the slope formula:
Slope (m) = 40 / 5 = 8
Therefore, the slope is 8.
The slope of 8 indicates that for every hour Laila dances, she raises an additional $8. It represents the rate of change in the amount of money raised per hour.as Laila spends more time dancing, the amount of money she raises increases by $8 for each additional hour. This suggests that her efforts in the dance-a-thon are effective in generating donations, as the slope of 8 reflects a steady increase in funds raised over time.
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Answer: It is D
Step-by-step explanation: i got it right on test
Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles. Determine P(not yellow) when choosing one marble from the bag.
8%
24%
40%
60%
Answers
Answer:
its 60%.
Step-by-step explanation:
did the math. and got the answer right on the quiz.
Answer:60%
Step-by-step explanation:
Can someone please help me with this I will give brainlest
Answers
Answer:
(0, 10 )
Step-by-step explanation:
the y- intercept is the point on the y- axis where the line crosses.
any point on the y- axis has an x- coordinate of zero.
let x = 0 in the equation and solve for y
4(0) - 3y = - 30
0 - 3y = - 30
- 3y = - 30 ( divide both sides by - 3 )
y = 10
that is the y- intercept is (0, 10 )
What is 55.736 rounded to 2 decimal places?
Answers
Answer: 55.74
Step-by-step explanation:
A project has five activities with the durations (days) listed
below:
Activity
Precedes
Expected
Duration
Variance
Start
A, B
-
-
A
C
40
0.31
B
E
32
0.25
C
D
21
0.35
Answers
The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.
To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.
Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.
The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.
Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.
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A die is rolled thrice. what is the probability that the sum of the rolls is at least 5
Answers
Answer:
11/36
Step-by-step explanation:
Total # of outcomes when dice is thrown twice- 6×6=36
The probability of not rolling a 5 would be 25/36
The probability of rolling a 5 is 11/36
Molly jogged at a rate of 6 mph, what was her speed in feet per second?
Answers
Answer:
8.8 feet per second
Step-by-step explanation:
1 mile = 5280 feet
3600 seconds = 1 hour
6 mph = 5280(6)/3600 = 528/60 8.8 feet per second
1. Find the rule. _______. TYSM
Input Output
8 30
10 38
16 62
22 86
50 80
Answers
The rule that show the relationship between the input (x) and the output (y) is y = 4x - 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
Let x represent the input and y represent the output, hence using the point (8, 30) and (10, 38):
y - 30 = [(38 - 30)/(10 - 8)](x - 8)
y = 4x - 2
The rule that show the relationship between the input (x) and the output (y) is y = 4x - 2
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PLS HELP! TELL ME HOW TO DO IT!
Answers
Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know the prism's volume is 20 cubic units, and they know the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Here is how each of them reasoned: Jada's method: Noah's method: 20 + 10^3 20 + 10^3 30^3 20 + 1000 27,00 1,020 Question: Do you agree either of them? Explain
Answers
Answer:
Only Noah is correct.
Step-by-step explanation:
Volume of the cube = 10^3 = 1000 units.
Total volume of the cube + the prism = 1000 + 2
= 1020 cubic units.
Answer:
Only Noah is correct.
Step-by-step explanation:
Volume of the cube = 10^3 = 1000 units.
Total volume of the cube + the prism = 1000 + 2
= 1020 cubic units.
Step-by-step explanation: