uppose the number of goals scored per game in an under 14 boys indoor soccer league follows a Poisson distribution with 3.3 goals per game. Define x as the number of goals scored in a game. You will answer questions concerning the probabilities of different values of x in this sample Excel spreadsheet: A B 1 P(x = 2) =POISSON.DIST(2,3.3, FALSE) 2 P(x = 5) 3 P(x > 3)
Answers
A excel spreadsheet computes likelihood of various upsides of objectives scored in a game utilizing the POISSON.DIST capability. The equation for x=2, 5 and x>3 objectives is given.
In the Succeed calculation sheet, Segment A rundowns the various upsides of x that we need to track down the probabilities for.
Segment B contains the relating equation to ascertain the likelihood utilizing the POISSON.DIST capability.
The recipe in cell B1 works out the likelihood of scoring 2 objectives in a game, P(x = 2), utilizing the POISSON.DIST capability with the contentions 2, 3.3, and Misleading.
The equation in cell B2 computes the likelihood of scoring 5 objectives in a game, P(x = 5), utilizing the POISSON.DIST capability with the contentions 5, 3.3, and Misleading.
The recipe in cell B3 works out the likelihood of scoring multiple objectives in a game, P(x > 3), utilizing the POISSON.DIST capability with the contentions 3, 3.3, and Valid. The Genuine contention works out the combined conveyance capability, which gives the likelihood of getting a worth not exactly or equivalent to the contention. To track down the likelihood of getting a worth more prominent than the contention, deduct the combined dissemination capability from 1.
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Related Questions
Given f(x) = 3x² + 9x - 16, find f(-8)
Answers
Answer:
To find f(-8), we need to substitute -8 for x in the expression for f(x) and evaluate:
f(-8) = 3(-8)² + 9(-8) - 16
Simplifying this expression, we get:
f(-8) = 3(64) - 72 - 16
f(-8) = 192 - 72 - 16
f(-8) = 104
Therefore, f(-8) = 104 when f(x) = 3x² + 9x - 16.
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A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Answers
Answer and Step-by-step explanation:
Given:
Charges includes 10 hour per month = $50
Charges for additional hour = $9
Piecewise definition of cost F(x) for a month in which a member use a car for hours.
Find limits?
Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Lim x → 10- F(x) = 50$
Lim x → 10 [ 9x – 70] = 9( 10) – 70
= 90 – 70
= 20 > 10
Limit does not exist.
Lim x → 10+ F(x) = 50$
Lim x → 10+ F(x) = Lim x → 10+ [90x – 70]
= 90 – 70
= 20 > 10
Limit does not exist.
Lim x → 10 F(x) = 50$
An integer or an decimal.
The limit does not exist.
The piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).
Given,
Membership plan is \(\$50\) per month.
We have to write a piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours.
Here, \(\$\)\($50\) per month fees includes 10 hours of driving each month, so the cost for a month is given as,
\(f(x)= 50+9(x-10)\)
Here \(x\) is the no. of additional hours for the month.
Further,
\(f(x)= 9x-40\).
Now at,
\(lim _{x \to 10^+}f(x) = 9\times 10-40\\\)
Or,
\(f(x)= 90-40\\f(x)=50\)
Similarly, at left limit,
\(lim _{x \to 10^-}f(x) = 9\times (-10)-40\)
Or,
\(f(x)=-90-40\)
\(f(x)=-130\)
Finally at \(x=10\), \(f(x)=9\times10-40\)
\(f(x)=90-40\\f(x)=50\)
Since \(lim{x \to}10^+\) \(\neq limx\to 10^-\neq f(x) (at x= 10)\)
So the required function \(f(x)\) is discontinuous at \(x=10\)
Hence the piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).
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During second period, Janet completed a grammar worksheet. She got 14 questions correct and 42 questions incorrect.
Part A: What percentage did Janet get correct
_________%
Part B: What percentage did Janet get incorrect?
A: 50%
B: 65%
C: 75%
D: 80%
Answers
Answer:
A=33.33
Step-by-step explanation:
Answer: Part A) 25%
Part B) 75%
Step-by-step explanation: Hope this helps.
Part A: If each batch of cupcakes makes 12 cupcakes; how many batches will the bakery need to bake to
make 90 cupcakes?
Answers
Answer:
7,5
........................
The graph below shows the total amount, y, that an electrician charges for a service call that lasts x hours.
Which of the following is the rate of change in the total amount charged with respect to the time spent on the service call?
Question 5 options:
$25 per hour
$0.04 per hour
$65 per hour
$40 per hour
Answers
The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.
What is the rate of change?The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).
The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.
Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.
The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).
Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:
370 - 130 = 240
And the change in x is:
8 - 2 = 6
Therefore, the slope (rate of change) of the graph is:
240/6 = 40
So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.
Therefore, the correct option is $40 per hour.
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2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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Triangle HIJ is similar to triangle KLM find the measure of side KL around your answer to the nearest tenth if necessary
Answers
The measure of side KL from triangle KLM is 22 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle HIJ is similar to triangle KLM.
From the similar triangles,
JH/MK =HI/KL
31/13.9 =49/KL
31KL=49×13.9
31KL=681.1
KL=681.1/31
KL=21.97
KL≈22
Therefore, the measure of side KL is 22 units.
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Kelly had2 3/4 qt of cooking oil. She used 2/5 of it to deep fry some fish. How much oil did she use
Answers
Answer:
answer is 3 3/20
Which equation and solution can be used to solve this problem? Twenty-two less than a number is twenty-four. Group of answer choices q minus 22 = 24: Add 22 to both sides. The answer is 46. q + 22 = 24: Subtract 22 from both sides. The answer is 2. q minus 24 = 22: Add 24 to both sides. The answer is 46. 24 + q = 22: Subtract 22 from both sides. The answer is 2.
Answers
The solution to the problem is that the number is 46.
In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The equation that can be used to solve the problem is q - 22 = 24.
To solve this equation, we need to isolate q on one side of the equation.
q - 22 = 24
Adding 22 to both sides, we get:
q - 22 + 22 = 24 + 22
Simplifying, we get:
q = 46
Therefore, the solution to the problem is that the number is 46.
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I will give you Brainliest and 500 points if you do this
Answers
i don't know the answer to 3 though sorry
hope this helps if u have any questions let me know and also if u could mark this as brainliest i would really appreciate it!
Sam raked 4 bags of leaves in 18 minutes. If he continues to work at the same rate, how long will to take him to rake 6 bags?
Answers
Answer:
27 minuets
Step-by-step explanation:
1. Mrs. Gribble went to the grocery store and spent $10.80 on pizzas, $4 on apples, and $29.99 on diapers. How much money did Mrs. Gribble spend? 2. Mrs. Bond had $100 to spend at the mall. She bought a shirt for $16.75 and a pair of shoes for $50.86. How much money does she have left? (two questions)
Answers
Answer:
1. Spent $44.79
2.She has $32.39 left
Step-by-step explanation:
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
click sample to choose an srs and display the resulting confidence interval. the confidence interval is displayed as a horizontal line segment wiht a dot representing the sample prportion in the middle of the interval. the true proportion (p) is the green vertcal line
Answers
The confidence interval is displayed as a horizontal line segment with a dot representing the sample portion in the middle of the interval is (0.387, 0.613).
Let the sample be p = 0.5
N = 75
The critical value for α = 0.05 is Zc = Z(1-α/2) = 1.96 . The corresponding confidence interval is computed as shown:
\(CI = (p - Zc \sqrt{\frac{p(1-p)}{n} } , p+Zc \sqrt{\frac{p(1-p)}{n})\)
CI = (0.387, 0.613)
Therefore, based on the data provided , the 95% confidence interval for the population proportion is 0.387<p<0.613, which indicated that we are 95% confident that the true population proportion p is contained by the interval (0.387, 0.613).
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Complete question:
Use the Confidence Intervals for Proportions applet. Set the population proportion to 0.5, the confidence level to 95% and the sample size to 75. 2. Click "Sample” to choose an SRS and display the resulting confidence interval. The confidence interval is displayed as a horizontal line segment with a dot representing the sample proportion in the middle of the interval. The true proportion (p) is the green vertical line.
Need help with this question. Dropped a picture down below.
Answers
The statements that complete the figure parameters are
CEH and HEB are complementary angles and CEH = 70 degreesAEH and HEB are supplementary angles and AEH = 160 degreesHow to complete the sentences?The given parameters are:
Angle HEB = 20 degrees
From the figure, we can see that
Line CE is perpendicular to line AB
This means that
HEB + CEH = 90 degrees ---- complementary angles
HEB + AEH = 180 degrees ---- supplementary angles
So, we have
20 + CEH = 90 degrees
20 + AEH = 180 degrees
Evaluate
CEH = 70 degrees
AEH = 160 degrees
Hence, the complete statements are
CEH and HEB are complementary angles and CEH = 70 degrees
AEH and HEB are supplementary angles and AEH = 160 degrees
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How many triangles can the polygon below be divided into? A polygon with 10 sides. 6 7 8 9
Answers
Answer:
240
I think I'm not sure but try
Answer:
C. 8
Step-by-step explanation:
Just took the test (edge)
Good luck soldiers
(3b+2)(b-8) multiply
Answers
Answer:
3b^2-22b-16
Step-by-step explanation:
3b^2-24b+2b-16=
3b^2-22b-16
Answer:
3b^2 -22b -16
Step-by-step explanation:
(3b+2)(b-8)
FOIL
first :3b*b = 3b^2
outer : 3b *-8 = -24b
inner: 2*b = 2b
last: 2*-8 = -16
Add them together
3b^2 -24b+2b -16
Combine like terms
3b^2 -22b -16
Given f(x) = X-2 and g(x)= 1/x-2 which of the following values is not in the domain of (fog)(x)?
0
1/2
2
4
Answers
Answer:
The answer is 2
Step-by-step explanation:
Edge 2021
Can someone help me!!!
Answers
formula:
l(length) x w(width)
Which function will cross the y-axis at (0, 7)?
Oy=x+7
Oy=x-7
0y=x+5
Oy=7x
Answers
The value of function which cross the y-axis at point (0, 7) will be;
⇒ y = x + 7
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The point which cross the function = (0, 7)
Now,
Since, The point which cross the function = (0, 7)
Hence, The point must be satisfy the function.
By option (1);
⇒ y = x + 7
Put (x, y) = (0, 7)
⇒ 7 = 0 + 7
⇒ 7 = 7
Thus, The correct function which passes through the point (0, 7) is,
⇒ y = x + 7
Option (i) is true.
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hình vuông có mấy cạnh
Answers
use the function f(x) = 3x+8. evaluate the function for f(1). 8, 11, 3
Answers
Answer: 11
Step-by-step explanation:
F(1) = 3(1) + 8
F(1) = 3 + 8
F(1) = 11
You just substitute the x in for 1 and solve from there.
kam’s monthly budget includes $265 for food, $150 for gasoline, and$180 for utilities. If he earns $1558 per month after taxes, how much money is left for other expenses?
Answers
Let:
R = Remaining money
E = Expenses
B = Budget
The remaining money (money is left for other expenses) is given by:
\(\begin{gathered} R=B-E \\ _{\text{ }}where\colon \\ B=1558 \\ E=265+150+180=595 \\ so\colon \\ R=1558-595 \\ R=963 \end{gathered}\)Answer:
$963
7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
Answers
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
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Consider the diagram.
Planes M and N intersect at line d. Lines a, b, and e are on plane M. Line a is vertical and forms a right angle with line d. Line b is diagonal and goes up and to the right. Line e is at the top of the plane and is close to being horizontal. Line c is on plane N and goes slightly up and to the right.
Lines a and d are
non-coplanar.
parallel.
perpendicular.
skew.
Answers
Answer:
perpindicular
Step-by-step explanation:
The line a and line d are perpendicular to each other.
What is a perpendicular lineA perpendicular line is a line that intersect another line at 90 degrees. Perpendicular lines are also called normal lines.
Constructing lines a and dAfter constructing the two lines; line a and line intersect or meet each other at 90 degrees to the horizontal.
Thus, we can conclude that the line a and line d are perpendicular to each other.
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Gideon takes out a loan of R150 000 this morning g to buy a house. The interest rate on the mortgage is 7.35%.The first payment is due one month from today. How much of the second payment applies to the principal balance?Assume that each month is equal to 1/12 of each year.
Answers
The amount of the second payment that applies to the principal balance is approximately Rs. 125.42.
What is simple interest?Borrowers must give lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and only the original capital is used. Simple interest applies to all debts, not just specific ones. Additionally, it refers to the kind of interest that banks give their clients on their savings accounts.
To calculate the amount of the second payment that applies to the principal balance, we first need to calculate the monthly payment. We can use the formula for the monthly payment on a mortgage, which is:
M = P * (r/12) * (1 + r/12)^n / ((1 + r/12)^n - 1)
where:
M = monthly payment
P = principal balance
r = monthly interest rate (which is the annual interest rate divided by 12)
n = total number of payments (which is the number of years multiplied by 12)
Plugging in the given values, we get:
P = Rs. 150,000
r = 7.35% / 12 = 0.6125% (as the monthly interest rate)
n = 30 years * 12 = 360 months
M = 150000 * (0.006125 * (1 + 0.006125)^360) / ((1 + 0.006125)^360 - 1)
M ≈ Rs. 1,038.19
Therefore, the monthly payment is approximately Rs. 1,038.19.
Now, we can calculate how much of the second payment applies to the principal balance. Since the first payment was made one month ago, the principal balance at the beginning of the second payment will be:
Principal balance = Rs. 150,000 - Rs. 1,038.19 = Rs. 148,961.81
To find out how much of the second payment applies to the principal balance, we need to subtract the interest portion of the payment from the total payment. The interest portion of the payment will be:
Interest portion = principal balance * monthly interest rate
= Rs. 148,961.81 * 0.006125
= Rs. 912.77
Therefore, the amount of the second payment that applies to the principal balance will be:
Rs. 1,038.19 - Rs. 912.77 = Rs. 125.42
Hence, the amount of the second payment that applies to the principal balance is approximately Rs. 125.42.
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Ivan bought a $1000 bond with a 4.5% coupon that matures in 30 years. What
are Ivan's annual earnings for this bond?
A. $45.00
B. $25.00
C. $4.50
D. $22.50
Answers
Ivan's annual earnings for this bond is $45.00
What is a bond?A bond is a pledge, made by a borrower to pay a loan taken back to the lender with an interest.
Ivan's annual interest earning would be :
= $1,000 x 4.5 %
= $45 per year
Hence, Ivan's annual earnings for this bond is $45.00
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How many kilograms are in 14,500 grams?
Answers
Answer: 14.5
Step-by-step explanation: there is 1000 g in a kg
What is the equation of the line that passes through (4, 3) and (-4, -1)?
Choices:
2x+1
y=2x+7
y=x/2 +1
y= -x/2 +7
Answers
The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.
To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Substituting the given points into the formula, we get:
m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2
Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.
y = mx + b
3 = (-1/2)(4) + b
3 = -2 + b
b = 5
Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:
y = -x/2 + 5
So, correct option is A.
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Complete question is:
What is the equation of the line that passes through (4, 3) and (-4, -1)?
Choices:
y = -x/2 + 5
y=2x+7
y=x/2 +1
y= -x/2 +7
he highest elevation in a country is a mountain, with an altitude of 14,309feet. The lowest elevation in the country is a valley, with an altitude of 288 feet below sea level.
Answers
Answer:
Diffrent between altitude = 14,021 ft
Step-by-step explanation:
Given:
Heighest altitude = 14,309 ft
Lowest altitude = 288 ft
Find:
Diffrent between altitude
Computation:
Diffrent between altitude = Heighest altitude - Lowest altitude
Diffrent between altitude = 14,309 - 288
Diffrent between altitude = 14,021 ft