A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
Answers
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = \((1-p)^{k-1}\)×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
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Related Questions
The function f is defined by f(x)= - 1/2x^2
Write down the expression for h(x).
Answers
Answer: -1/2 (x-4)^2 + 3
Step-by-step explanation:
Since the graphs both have the same stretch of -1/2x^2, you just need to see how much they were shifted up, down, left, or right. h(x) is shifted up 3 and right 4 of f(x) so h(x) = -1/2 (x-4)^2 + 3
Answer:
\(h(x)=-\dfrac12(x-4)^2+3\)
Step-by-step explanation:
Given:
\(f(x)= - \dfrac12x^2\)
From inspection of the graph, \(f(x)\) has been translated 4 units to the right and 3 units up.
Therefore, \(h(x)=f(x-4)+3\)
\(\implies h(x)=-\dfrac12(x-4)^2+3\)
Which symbol correctly compares the two angle measures? pi/4 radians_____30°
A. <
O B. >
C. =
I don't know the answer and thats my guess :,)
Answers
Answer:
B. \(\frac{\pi }{4} Rad>30^{0}\)
Step-by-step explanation:
\(\frac{\pi }{4} Rad=(180/4)^{0} =45^{0}\)
Hope this helps
round 1456 to nearest 10
Answers
Answer:
1460
Step-by-step explanation:
rounding to the nearest ten, that is nearest to 1456 which would be 1460 (hope this helps! ) ♡
Answer:
1460
Step-by-step explanation:
Original number is 1 4 5 6
To round to the nearest ten, look at the digit in the 10's place and the digit immediately to the right of it
The digit in the tens place is 5
If the digit to the immediate right of this digit is 5 or greater, round the digit in the tens place up by one digit and set the immediate right digit to 0
So 5 rounds up to 6
The 6 to the immediate right(units place becomes 0)
1 4 5 6 rounded to nearest ten==> 1 4 6 0
A car is traveling along a test track in the desert at a constant rate of 85 feet per second The test track has a length of 10,000 feet, and the track is marked by foot for observation purposes. After 8 seconds, the car is at foot marker 1000 feet. At what foot marker was the car at time t= 0 seconds?
Answers
Answer:
foot marker 320 at t=0
Step-by-step explanation:
8 sec x 85 ft/s =680 ft
1,000ft - 680 ft = 320 ft
At t = 0 seconds the car was at a foot marker of 320 feet.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A car is traveling along a test track in the desert at a constant rate of 85 feet per second.
After 8 seconds, the car is at foot marker 1000.
So, In those 8 seconds, the car has traveled (8×85) = 680 feet.
Therefore, Initially, the car was at (1000 - 680) feet.
= 320 feet.
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The diagram shows the height of a cone that holds ice cream. The cone has a volume of 4.5 π cubic inches. Which measurement is closest to the radius of the cone in inches?
Answers
On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.
Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.
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A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answers
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
The sides of a cuboid are 20cm, 5cm and 10cm What is the volume of the cuboid?
Answers
Answer:
The Volume of a cuboid is found by multiplying the width by the length by the height
\(v = 20 \times 5 \times 10 = 1000\) cm3
Answer:
volume = 1000 cm³
Step-by-step explanation:
(20)(5)(10) = 1000 cm³
You just drove your car 500 miles and used 20 gallons of gas. You know that the gas tank only holds 18 1/2 gallons of gas. What is the number of miles you can drive on one tank of gas?
Answers
500 miles / 20 gallons = 25 miles / gallon
25 miles * 18.5 gallons = 462.5 miles / one tank of gas
Triangle LMN has vertices at L(−1, 4), M(−1, 0), N(−3, 4) Determine the vertices of image L′M′N′ if the preimage is rotated 180° counterclockwise about the origin.
L′(4, 1), M′(0, 1), N′(4, 3)
L′(−1, −4), M′(−1, 0), N′(−3, −4)
L′(−4, −1), M′(0, −1), N′(−4, −3)
L′(1, −4), M′(1, 0), N′(3, −4)
Answers
Answer:
Therefore, the vertices of the image L'M'N' after rotating the triangle 180° counterclockwise about the origin are:
L'(1, -4), M'(1, 0), N'(3, -4)
Step-by-step explanation:
To determine the vertices of the image L'M'N' after rotating the triangle LMN 180° counterclockwise about the origin, we can apply the rotation transformation to each vertex.
The rotation of a point (x, y) by 180° counterclockwise about the origin can be obtained by switching the signs of both coordinates. So, if the original vertex is (x, y), the rotated vertex will be (-x, -y).
Applying this to each vertex:
L'(-x, -y) = L'(-(-1), -(4)) = L'(1, -4)
M'(-x, -y) = M'(-(-1), -(0)) = M'(1, 0)
N'(-x, -y) = N'(-(-3), -(4)) = N'(3, -4)
Therefore, the vertices of the image L'M'N' after rotating the triangle 180° counterclockwise about the origin are:
L'(1, -4), M'(1, 0), N'(3, -4)
The student government snack shop sold 32 items this week.
For each snack type, what percentage of all snacks sold were of that type? Do not round your answers.
Answers
The percentages of each snack type that were sold are given as follows:
Fruit cup: 25%.Veggie sticks: 18.75%.Chips: 43.75%.Water: 12.5%.How to obtain the percentage?A percentage is one example of a proportion, as it is obtained by the number of desired outcomes divided by the number of total outcomes, and then multiplied by 100%.
Hence the percentages for each type are obtained as follows:
Fruit cup: 8/32 x 100% = 25%.Veggie sticks: 6/32 = 18.75%.Chips: 14/32 = 43.75%.Water: 4/32 = 12.5%.More can be learned about proportions at https://brainly.com/question/24372153
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There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answers
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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Circumference of 2 circles =220m and 286m find area!
Helppp!!!!
Answers
Every line through the center of a circle forms a line of reflection symmetry, and every angle has rotational symmetry around the center. The areas are 123.83 \(m^{2}\) and\(209.07m^{2}\)
What is a circle?The form having the greatest surface area for a given perimeter is a circle.
Every line through the center of a circle forms a line of reflection symmetry, and every angle has rotational symmetry around the center. The orthogonal group O is the symmetry group of it (2,R). Circle group T is the collection of rotations alone.
Every circle is comparable.The radius and circumference of a circle are proportionate.The ratio between the enclosed area and the square of its radius is one.2 and, respectively, serve as the proportionality constants.The unit circle is the circle with radius 1 and an origin center.It becomes the Riemannian circle when viewed as a large unit sphere circle.A distinct circle can be found through any three locations that are not all on the same line. It is feasible to express explicitly equations for the coordinates of the circle's center and radius in terms of the coordinates of the three specified points in Cartesian coordinates.
Circumference= \(2\pi r\)= 220 and 286
\(2\pi r\)= 220
2*3.14*r=220
r= 220/35.03= 6.28
area=\(\pi r^{2}\)
= 3.14*6.28*6.28
= 123.83\(m^{2}\)
\(2\pi r\)= 286
2*3.14*r= 286
r= 286/35.03 = 8.16
area= \(\pi r^{2}\)
= 209.07\(m^{2}\)
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5(4/5+2)=3-6j math help
Answers
Answer:
j = \(\frac{-11}{6}\)
Step-by-step explanation:
5(4/5 + 2) = 3 - 6j
First, simplify the left side of the equation:
5(4/5 + 2) = 5(1.8) = 9
Now we have:
9 = 3 - 6j
Subtract 3 from both sides:
6 = -6j
Divide both sides by -6:
j = -1
Therefore, the solution is j = -1.
May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!
5x - 3 = 12 simplifyy
Answers
5x = 12 + 3
5x = 15
\(x = \frac{15}{5} \\ \)
x = 3
Answer:
3
Step-by-step explanation:
5x-3=12
5x=12+3
5x=15
x=15/5
x=3
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
Answers
419 + x = 580
x = 161
She must get at least 161 to have an average of 161
A paper factory makes cardboard sheets like the one shown below. If the area of each sheet is given by the expression 6x ^ 2 + 7x + 2, what are the dimensions of each sheet of cardboard?
Answers
Answer:
(3x+2) by (2x+1)
Step-by-step explanation:
A cardboard is a rectangle, and has two dimensions. Given a quadratic equation, you should find a way to split it in two.
The easiest way to do so is through factoring. (There are many ways to do this, take a look at the plethora of sources offered on the internet.)
When the expression 6x^2 + 7x + 2 is factored, it is (3x+2)(2x+1). Hence, these are your dimensions.
a) (-x¹) = (x²)=
b) (8x³y4z²)÷(2x²y²z²)=
c) (12x²)÷(-6y)=
d) (-18x^yz²)+(-6x²yz)=
Answers
The value of the expressions are:
a) -x(1 + x)
b) 16xy
c) -2x²/y
d) -6xyz (3z + x)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
a)
-x - x²
= -x(1 + x)
b)
8x³y4z² ÷ 2x²y²z²
= 32x³yz² / 2x²y²z²
= 16xy
c)
12x² ÷ -6y
= 12x² / -6y
= -2x²/y
d)
-18xyz² + (-6)x²yz
= -6xyz (3z + x)
Thus,
The value of the expression is:
a) -x(1 + x)
b) 16xy
c) -2x²/y
d) -6xyz (3z + x)
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Which equation represents a line which is parallel to the line y = -x - 7?
Answers
Answer:
whichever one also says -x
Step-by-step explanation:
parallel lines have the same slope
How can unit analysis help you solve a conversion problem?
Answers
Unit analysis is a method used to convert from one unit of measure to another. In a unit analysis problem, we place measurements into fraction form, build a product of fractions, and eliminate unwanted units. The steps for performing a unit analysis are as follows: Determine what conversion facts are needed
Quadrilateral ABCD ~ quadrilateral JKLM. What is the
length of LM?
Answers
Step-by-step explanation:
just ratio and need to identify which lines are pairs.
J&L Electrical Services had a beginning balance (1 January 2019) in accounts receivable (debtors) of R200 000 and a beginning balance of allowance for credit losses of R4 000. During the financial year (1 January 2019 – 31 December 2019) they delivered services on credit for R660 000 and collected R640 000 from debtors. If J&L Electrical Services estimates that 2% of ending accounts receivable will not be collected, his adjusting journal entry will include a: A. credit to allowance for credit losses of R4 400. B. debit to allowance for credit losses of R400. C. debit to allowance for credit losses of R4 400. D. credit to allowance for credit losses of R400.
Answers
The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.
the correct answer is C. debit to allowance for credit losses of R4,400.
To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.
Beginning balance of accounts receivable: R200,000
Services delivered on credit: R660,000
Collections from debtors: R640,000
To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:
Ending accounts receivable = (Beginning balance + Services delivered) - Collections
Ending accounts receivable = (R200,000 + R660,000) - R640,000
Ending accounts receivable = R220,000
Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:
Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage
Allowance for credit losses adjustment = R220,000 * 2% = R4,400
Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:
the correct answer is C. debit to allowance for credit losses of R4,400.
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Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph
Answers
Answer:
Sally ran an average of 3 mph
Step-by-step explanation:
If Igor's average speed was 6mph and he completed the distance in 2 hours and Sally completed it in 4 hours that means that she took twice as long as Igor and Igor's 6mph divided by two is 3, so Sally went an average of 3 mph
How long must 100 be invested at a rate of 4% to earn 32.00 in interest
Answers
I have to add this problem
5/8+2/8
giving 10 points:)
Answers
The addition of the given fraction expression is 7/8.
In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.
When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.
In this case, both fractions have a denominator of 8, so we can add their numerators:
5/8 + 2/8 = (5 + 2)/8 = 7/8
Thus, the sum of 5/8 and 2/8 is 7/8.
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The director of a basketball camp estimates that the number N of students who will enroll in a basketball camp can be modeled by
N = −0.3t + 250,
where t is the tuition for the camp in dollars.
(a)
What is the N-intercept?
(t, N) =
(b)
Write a sentence that explains the answer to part (a) in the context of the problem.
If the tuition was $
, then
students would enroll in the basketball camp.
(c)
What is the t-intercept? (Round your answers to two decimal places when necessary.)
(t, N) =
(d)
Write a sentence that explains the answer to part (c) in the context of the problem. (Round your answers to two decimal places when necessary.)
If the tuition was approximately $
, then
students would enroll in the basketball camp.
Answers
Answer:
Step-by-step explanation:
(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:
N = -0.3(0) + 250
N = 250
Therefore, the N-intercept is (0, 250).
(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.
(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:
0 = -0.3t + 250
0.3t = 250
t = 250/0.3
t ≈ 833.33
Therefore, the t-intercept is approximately (833.33, 0).
(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.
The measure of B is (3x-4)° and the measure of D is (2x-6)°. What are the measures of angles B and D?
Answers
Answer:
5x - 10
Step-by-step explanation:
→ Find the sum of the expression
3x - 4 + 2x - 6
→ Collect all the x terms
3x + 2x - 4 - 6
→ Simplify
5x - 10
urgent please help!! no trolls
Answers
Answer:
2.4
Step-by-step explanation:
Answer:
66?
Step-by-step explanation:
112-46= 66
Sorry if it's wrong! ヾ(•ω•`)o
Have a nice day!( ﾟдﾟ)つ Bye
\(2 {}^{3} \times 2 - {}^{3} \)
I need answers
Answers
Step by step
2^3 x 2 - 3=
2 x2 x2=8
8 x2=16
16-3=13
Decide if each statement below is
true or false.
45 tens is equal to 450.
12.3 is equal to 123 ones.
80 tens is greater than 6 hundreds.
43,200 is less than 50 thousands.
60 hundreds = 6,000
Answers
(a) 45 tens is equal to 450. :- True
(b) 12.3 is equal to 123 ones. :- True
(c) 80 tens is greater than 6 hundreds. :- True
(d) 43,200 is less than 50 thousands. :- True
(e) 60 hundreds = 6,000 :- True
Consider the first statement,
45 tens are equal to 450
So, 45 tens mean 45 times 10 is written as:
45 × 10 = 450
Hence, it's true.
Consider the second statement,
12.3 is equal to 123 ones.
Now, 123 ones is equal to 123 times 1.
123 × 1 = 123
Hence, the statement is true.
Consider the third statement,
80 tens is greater than 6 hundreds.
Now 80 tens = 80 × 10 = 800
Now, 6 hundreds = 6 × 100 = 600
Now, 800 > 600
Hence, the statement is true.
Consider the fourth statement.
43,200 is less than 50 thousands.
Now, 50 thousands = 50 × 1000 = 50,000
We know,
50,000 > 43,200
Therefore, the statement is true.
Consider the fifth statement,
60 hundreds = 6000
Now, 60 hundreds = 60 × 100 = 6000
Therefore, the statement is true.
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The expression 15 – 3 [2 +6(-3)]
simplifies to
A.
-45
B. -33
C. 63
D. 192
Answers
Answer:
63
Step-by-step explanation:
6*(-3)= -18
2+(-18)= -16
3*(-16)= -48
15- -48= 63
Answer:
C: 63
Step-by-step explanation:
First we start by evaluating in the brackets [ ]
15 - 3 [2 + 6(-3)] in this problem we start with the parenthesis, 6(-3). This means 6x(-3)
So, 6x(-3)= (-18)
Now the question becomes
15 - 3 [2 + (-18)] We will continue evaluating the brackets:
To continue, the next step will be to add 2 and -18
2 + -18 = -16
Now the entire problem becomes:
15 - (3 x -16) and we finished the brackets so now we do 3 times -16 because the next step is 3[2+(-18)
So, 3 x -16 = -48, making the problem:
15 - (-48). When you're subtracting negatives, you're essentially getting rid of the negative and adding that negative number as a positive. So:
15 - (-48) = 63 :)
♡Hope it helps♡