Let Z be a standard normal random variable: i.e., Z ~ N(0,1). (1) Find the pdf of U = Z2 from its distribution. (2) Given that f(1/2) = VT Show that U follows a gamma distribution with parameter a = 1 = 1/2. (3) Show that I (1/2) = V1. Note that I (1) = Soe ex-1/2dx. Hint: Make the change of variables y = V2x and then relate the resulting expression to the normal distribution.
Answers
1)The pdf of U is f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.
2)U follows a gamma-distribution with parameter a = 3/2 or a = 1/2.
3)x = (y²/2) and dx = y dy using exponential distribution
We can rewrite the integral as:
I(1/2) = ∫₀^∞ y exp(-y²) dy
= 1/2 ∫₀^∞ exp(-u/2) du
This is the same as the integral for f(u) when u = 1/2.
Therefore, we have:
I(1/2) = V1
(1) For U = Z², we can use the method of transformations.
Let g(z) be the transformation function such that
U = g(Z)
= Z².
Then, the inverse function of g is given by h(u) = ±√u.
Thus, we can apply the transformation theorem as follows:
f(u) = |h'(u)| g(h(u)) f(u)
= |1/(2√u)| exp(-u/2) for u > 0 f(u) = 0 otherwise
Therefore, the pdf of U is given by:
f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.
(2) We are given that f(1/2) = VT, where V is a constant.
We can substitute u = 1/2 in the pdf of U and equate it to VT.
Then, we get:VT = (1/(2√(1/2))) exp(-1/4)VT
= √2 exp(-1/4)
This gives us the value of V.
Now, we can use the pdf of the gamma distribution to find the parameter a such that the gamma distribution matches the pdf of U.
The pdf of the gamma distribution is given by:
f(u) = (u^(a-1) exp(-u)/Γ(a)) for u > 0 where Γ(a) is the gamma function.
We can use the following relation between the gamma and the factorial function to simplify the expression for the gamma function:
Γ(a) = (a-1)!
Thus, we can rewrite the pdf of the gamma distribution as:
f(u) = (u^(a-1) exp(-u)/(a-1)!) for u > 0
We can now equate the pdf of U to the pdf of the gamma distribution and solve for a.
Then, we get:
(1/(2√u)) exp(-u/2) = (u^(a-1) exp(-u)/(a-1)!) for u > 0 a = 3/2
Therefore, U follows a gamma distribution with parameter
a = 3/2 or equivalently,
a = 1/2.
(3) We need to show that I(1/2) = V1.
Here, I(1) = ∫₀^∞ exp(-x) dx is the integral of the exponential distribution with rate parameter 1 and V is a constant.
We can use the change of variables y = √(2x) to simplify the expression for I(1/2) as follows:
I(1/2) = ∫₀^∞ exp(-√(2x)) dx
Now, we can substitute y²/2 = x to obtain:
x = (y²/2) and
dx = y dy
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Related Questions
CREATE and SOLVE a division problem where the divisor is a whole number and the dividend is a decimal. The quotient must be greater than 5 but less than 6. EXPLAIN how you created this problem to meet all of the conditions (requirements) using correct math vocabulary.
Answers
The division problem where a divisor is a whole number and the dividend is a decimal is:
$20.36 are distributed equally among 4 men. How much money will each person get?
Each person will get $5.09.
The divisor of the division problem must be a whole number and the dividend is decimal.
Let's consider the dividend to be 20.36 and the divisor to be 4 which is a whole number.
When we divide 20.36 by 4 we obtain,
20.36/4 = 5.09
Therefore, the quotient is 5.09 which is greater than 5 but less than 6.
The problem:
$20.36 are distributed equally among 4 men. How much money will each person get?
Therefore, each person will get $5.09 each.
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Latonya needs to purchase 5 notebooks at $1.99 each and 3 pens at $0.89 each. About how much will she spend?
Answers
The total amount that Latonya will spend is $12.62
The cost of each notebook is $1.99
Latonya needs to purchase 5 notebooks
∴ The cost of 5 notebooks = Cost of each notebook × 5
= $1.99 × 5
∴ The total cost of 5 notebooks = $9.95
The cost of each pen is $0.89
Latonya needs to purchase 3 pens
∴ The cost of 3 pens = Cost of each pen × 3
= $0.89 × 3
∴ The total cost of 3 pens = $2.67
Total amount that Latonya will spend on notebooks and pens = Total cost of 5 notebooks + Total cost of 3 pens
Total amount = $9.95 + $2.67
∴ Total amount = $12.62
Therefore, the total amount that Latonya will spend is $12.62.
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15% of the students in the library are girls. If there are 60 total students in the library, how many are girls?
Answers
Answer:
9 girls
Step-by-step explanation:
15% x 60 = 9
Answer: 15% of 60 is 9.
Step-by-step explanation:
15% of 60 can be written as 15% × 60
= 15/100 × 60
= 9
How long will it take for a $3000 investment to grow to $6450 at an annual rate of 10%, compounded quarterly? Assume that no withdrawals are made. Do not round intermediate computations, and round your answer to the nearest hundreth
Answers
It will take approximately 4.1 years for a $3000 investment to grow to $6450 at an annual rate of 10%, compounded quarterly.
What is compound interest?The interest that is accrued on both the principle and any accumulated interest from earlier periods is known as compound interest. In other words, interest is gained on top of interest and is reinvested. With time, compound interest increases enormously.
Simple interest, on the other hand, is interest that is simply paid on the principle. As interest is not reinvested, the investment's growth is linear over time.
The compound interest is given by the formula:
\(A = P(1 + r/n)^{(nt)}\)
Substitute the values given:
\(A = $3000(1 + 0.10/4)^{(4t)}\\$6450 = $3000(1 + 0.10/4)^{(4t)}\\2.15 = (1 + 0.10/4)^{(4t)}\)
Taking log on both sides we have:
\(ln(2.15) = ln[(1 + 0.10/4)^{(4t)]}\)
ln(2.15) = 4t ln(1 + 0.10/4)
t = ln(2.15)/(4 ln(1 + 0.10/4))
t ≈ 4.1
Hence, it will take approximately 4.1 years for a $3000 investment to grow to $6450 at an annual rate of 10%, compounded quarterly.
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Question Two
Solve the following simultaneous equation graphically:
x + 4y = 17
2x + 5y =
25 (7 marks)
STATISTICS
Answers
Answer:
x = 5
y = 3
Step-by-step explanation:
x + 4y = 17
2x + 5y = 25
We multiply the first equation by -2
-2x - 8y = -34
2x + 5y = 25
-3y = -9
y = 3
Now we put 3 in for y and solve for x
x + 4(3) = 17
x + 12 = 17
x = 5
Let's Check the answer
5 + 4(3) = 17
5 + 12 = 17
17 = 17
So, x = 17 and y = 3 is the correct answer.
HELPPP PLZZZZ BRAINLIESTTT
Is y = 2 a solution for y + 0 < 2 ?
Group of answer choices
Yes
No
Answers
Answer:
yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
2+0<2is wrong if that's what you mean then the right answer is 2+0=2
the sign < means the number after it is bigger than the number before thus sign so its not the answer
not trying to do my work right help
Answers
Answer: you are correct. The answer is the first option and if you don't believe me look at my explanation.
Step-by-step explanation: Since a ratio can also be written as a fraction, 3:12 = 3/12. So what you do is simplify 3/12 to get 1/4 which equals 1:4.
what is 500x250x530x55 no calclater
Answers
Answer:
3643750000
Step-by-step explanation:
An ordinary (fair) die is a cube with the 1 numbers through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event 1: The sum is greater than 8 .
Event 2: The sum is divisible by 2 .
Write your answers as fraction
Answers
The probability of Event 1 is 5/36 and the probability of Event 2 is 1/2.
What is the probability of each of the given events?The probability of each of the given events is determined by comparing the outcomes of the rolling of two dies:
There are 6 * 6 = 36 possible outcomes
Event 1: The sum is greater than 8.
There are 5 outcomes where the sum is greater than 8.
P(Event 1) = 5/36
Event 2: The sum is divisible by 2.
There are 18 possible outcomes where the sum is divisible by 2.
The probability of this event will be:
P(Event 2) = 18/36
P(Event 2) = 1/2
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SOMEONE HELP FOR ONCE PLEASEEEE
Two trains leave towns 1490 kilometers apart at the same time and travel toward each other. One train travels 20 km/h slower than the other. If they meet in 5 hours, what is the rate of each train?
Answers
Answer:143 km/h
159 km/h
Step-by-step explanation: The 1208 km separation distance is closed in 4 hours, so the rate of closure is ...
(1208 km)/(4 h) = 302 km/h
If s represents the speed of the slower train, then the sum of their speeds is ...
s + (s+16) = 302
2s = 286
s = 143
s+16 = 159
Denzel wants to walk to the store from his house but he is not sure how far away it is.Find the distance between his house (-6, 8) and the store (7, -1). Each unit is equal toone mile. Round your answer to the nearest mile. Also, describe how you found youranswer.
Answers
Remember that
The formula to calculate the distance between two points is given by
\(d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)we have the points
house (-6, 8) and the store (7, -1)
substitute the given coordinates in the formula above
\(\begin{gathered} d=\sqrt{(-1-8)^2+(7+6)^2} \\ d=\sqrt{81+169} \\ d=\sqrt{250} \\ d=16\text{ miles} \end{gathered}\)therefore
The answer is 16 milesWhich of the following is the quotient of the rational expressions shown
below?
X/3x-1 divide x-2/2x
Answers
Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.
In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).
To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.
The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).
The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).
To divide these two expressions, you can divide the numerators and the denominators separately:
(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)
= (2x^2) ÷ (3x^2-3x+2)
= (2/3)x^2 ÷ (x^2-x+2/3)
Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)
Step-by-step explanation:
Need help, check attached image
Answers
Answer:
...
Step-by-step explanation:
(x-1) will cancel each other so the answer is the last one
Vector V 1 is 6.9 units long and points along the negative xxx axis. Vector V 2 is 8.1 units long and points at 30 degrees to the positive x axis.
1. What are the x and y components of vector V1?
Express your answers using two significant figures. Enter your answers numerically separated by a comma.
2. What are the x and y components of vector V2?
Express your answers using two significant figures. Enter your answers numerically separated by a comma.
3. Determine the magnitude of the sum V1+V 2
Express your answer using two significant figures.
4. Determine the angle of the sum V1+V 2
Express your answer using two significant figures.
Answers
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Solve the inequality. Graph the solution. 3x≤−54
Answers
\(x\leq -18\)
Graph Displayed Below
Hope this helps!
The solution to the given inequality \(3x \leq -54\) is \(x \leq \frac{-54}{3}\) .
Inequality is a fine statement that compares two values, showing if one is lower than, lesser than, or simply not equal to another value. Inequalities are frequently used to represent connections between amounts, similar to the relationship between the height and weight of a person, or the relationship between the speed and time of an object in stir.
We first divide the inequality \(3x \leq -54\) by 3 on both sides to obtain:
\(x \leq \frac{-54}{3}\) .
Then, we plot the line \(x = \frac{-54}{3}\) on the graph. The region left to the line thus obtained is the solution of the given question.
Thus, the line \(x \leq \frac{-54}{3}\) is plotted in the graph.
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In spherical geometry, which of the following statements is true?
A. There is no line that passes through the endpoints of a diameter of a
sphere.
B. There is only one line that passes through the endpoints of the diameter of
a sphere.
C. There are infinitely many points that pass through the endpoints of the
diameter of a sphere.
D. There are infinitely many lines that pass through two points on a sphere that
are not the endpoints of a diameter.
Answers
Answer:
A
Step-by-step explanation:
There is only one line that passes through the endpoints of the diameter of a sphere. Option B are correct.
Given that,
In spherical geometry, which of the following statements is true is to be determined.
A line is a straight curve connecting two points or more showing the shortest distance between initial and final points.
A.
False, because there are two endpoints of the diameter so a line minimum required two to get constituents.
B.
True, because online one line can constitute the two points, not more than one line can.
Similarly,
C and D are false.
There is only one line that passes through the endpoints of the diameter of a sphere. Option B are correct.
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NEED HELP TODAY!!!
Which term best describes the association between variables A and B?
a nonlinear association
a negative linear association
a positive linear association
no association
Answers
Based on the given data, the association between variables A and B appears to be a nonlinear association.
What is the association between variables?
Association between variables refers to the relationship between two or more variables in a dataset. It describes how changes in one variable are related to changes in another variable.
Based on the given data, the association between variables A and B appears to be a nonlinear association. There is no clear linear trend between the two variables, and the values of variable B do not consistently increase or decrease as variable A increases. Instead, the relationship between the variables appears to be more complex, with variable B increasing and then decreasing as variable A increases. A scatterplot of the data would help visualize this relationship.
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A researcher is studying the failure rate of restaurants. She selects a random sample of 200 restaurants in large cities that opened within the last year. Following up on these restaurants, she finds that 80 had failed within five years. Reference: Ref 8-6 If the confidence level is decreased to 95%, the confidence interval for the proportion of restaurants that fail within five years will be: narrower and have a smaller chance of capturing the true proportion of restaurants that fail with five years. wider and have a smaller chance of capturing the true proportion of restaurants that fail with five years. wider and have a higher chance of capturing the true proportion of restaurants that fail with five years. narrower and have a higher chance of capturing the true proportion of restaurants that fail with five years.
Answers
If the confidence level is decreased to 95%, the confidence interval for the proportion of restaurants that fail within five years will be narrower and have a smaller chance of capturing the true proportion of restaurants that fail within five years.
When the confidence level is decreased, the width of the confidence interval decreases. This means that the range of values within which the true proportion of restaurants that fail within five years is likely to lie becomes narrower. However, as the interval becomes narrower, there is a smaller chance of capturing the true proportion, as there is less room for variation.
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O
16 m
A. h = 12 m, v = 1,024 m³
What's the answer yo?
B. h = 15 m, v = 1,920 m³
17 m
OC. h = 15 m, v = 1.280 m³
D. h = 12 m, v = 1.536 m³
16 m
Answers
can you post the measurments in text form?
I don’t know what v is
Help ASAP I’m struggling and need help
Answers
Answer:
x=5\(\sqrt{119}\)/12 or 1.8
Step-by-step explanation:
The ratio between \(\sqrt{119\):12 is the same as 5:x so
12x=5\(\sqrt{119}\)
x=5\(\sqrt{119}\)/12
Which sequence of transformations will map figure Konto figure Kí?109876432Х10-9-8--5-4-3-2-11 +2 3 4 5 6 7 8 9 1010Reflection across X = 4, 180° rotation about the origin, and a translation of (x + 8, y)Reflection across X = 4, 180° rotation about the origin, and a translation of (x - 8, y)Reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y)Reflection across y = 4, 180° rotation about the origin, and a translation of (x - 8, y)
Answers
Answer:
A
Explanation:
To determine which sequence of transformation will map figure K onto figure K', we test each of the options using the point (6,5) in Figure K.
Option A
Reflection across x=4, 180° rotation about the origin, and a translation of (x+8,y)
\(\left(6,5\right)\rightarrow(2,5)\rightarrow\left(-2,-5\right)\rightarrow(6,-5)\)Option B
Reflection across x=4, 180° rotation about the origin, and a translation of (x-8, y)
\(\left(6,5\right)\rightarrow(2,5)\rightarrow\left(-2,-5\right)\rightarrow(-10,-5)\)Option C
Reflection across y=4, 180° rotation about the origin, and a translation of (x+8,y)
\(\left(6,5\right)\rightarrow(6,3)\rightarrow\left(-6,-3\right)\rightarrow(2,-3)\)Option D
Reflection across y=4, 180° rotation about the origin, and a translation of (x-8,y)
\(\left(6,5\right)\rightarrow(6,3)\rightarrow\left(-6,-3\right)\rightarrow(-14,-3)\)We can see that Option A is the one which maps point (6,5) to (6,-5).
Therefore, it is the sequence of transformations will map figure K onto figure K'.
The sum of half a number, n, and 15 is 24. What is the value of the number n?
Answers
Answer:
18
Step-by-step explanation:
n/2 + 15 = 24
subtract 15 from both sides
n/2 = 9
Multiply both sides by 2
n=18
Which expeession can be simplified as 1/n¹⁸ ?
(n²)⁹
\(( {n}^{ - 9}) ^{ - 2} \)
\((n^{ - 6}) ^{ - 3} \)
\((n^{ - 3}) ^{6} \)
Answers
Step-by-step explanation:
the last one is the correct answer
\( \frac{1}{ {n}^{18} } \\ = {n}^{ - 18} \\ = {n}^{( - 3 \times 6)} \\ = ( {n}^{ - 3} ) ^{6} \)
Answer:\(( {n}^{ - 3} ) ^{6} \)
I NEED THE ANSWER ASAP
Answers
Hello!
∛729 = 9
The answer is 9.
lost-time accidents occur in a company at a mean rate of 0.3 per day. what is the probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3? assume poisson situation. p(x
Answers
The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295
Binomial Distribution
The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.
In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.
Mean rate of lost time accident = 0.3 per day
probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.
n = 7
Using binomial distribution formula :
P(x ≤3)
Probability of success (p) = 0.3
1 - p = 1- 0.3 = 0.7
nCx * p^x * (1 - p)^(n-x)
Using the binomial probability distribution calculator to save computation time :
P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668
P(x ≤3) = 0.7295
0.7295
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In a _______ problem, the objective function line is moved in the direction that reduces cost.
Answers
In a Linear Programming problem, the objective function line is moved in the direction that reduces cost.
Linear Programming (LP) is an operation research approach used to determine the best outcomes, such as optimum profit, minimum cost, or maximum yield, given a set of constraints represented as linear relationships. Linear programming's fundamental idea is to find the best value of a linear objective function that takes into account a variety of constraints that are linear inequalities or equations. The goal of the constraints is to restrict the values of the decision variables. A linear programming problem consists of a linear objective function and linear inequality constraints, as well as decision variables. In a Linear Programming problem, we try to maximize or minimize a linear objective function, which represents our target. This objective function is expressed as a linear equation consisting of decision variables, each of which has a coefficient. Linear programming's ultimate goal is to find values of the decision variables that maximize or minimize the objective function while still satisfying the system of constraints we're working with. In this case, the objective function line is moved in the direction that reduces cost, which means we are minimizing the cost. We do this by moving the objective function line down towards the minimum point. This is the point where the objective function has the smallest possible value that meets all of the constraints.
Thus, in a Linear Programming problem, the objective function line is moved in the direction that reduces cost.
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Gwen bought a 2 1/4 pound bag of Finch bird seed and 3 1/2 pound bag of parrot bird seed . The total cost for the two bags was $16.79 (Find the cost per pound if it is the same for both types of bird seed)
Answers
Answer:
Software comprises the entire set of programs, procedures, and routines associated with the operation of a computer system. The term was coined to differentiate these instructions from hardware—i.e., the physical components of a computer system.
Answer:
$2.92 would be the cost per pound
Could anyone elaborate on how they determined whether this is a one-tailed, two-tailed, or upper-tailed test? Could you also explain how to determine which section of the graph on a bell curve that gets shaded in?
A company’s call center advertises that they resolve 80% of its customer calls by using automated voice options. A customer who has called in many times and rarely had issues resolved through the automated options believes that 80% is an overstatement. A significance test was done, and a test statistic was calculated. Assume the conditions for inference were met.
H0: p = 0.80
Ha: p < 0.80
p = The true proportion of all customer calls that are resolved by using automated options
Calculate the P-value, given that the resulting test statistic was z = –1.389.
Answers
Answer:
1. State the claim H0 and the alternative, Ha
2. Choose a significance level or use the given one.
3. Draw the sampling distribution based on the assumption that H0 is true, and shade the area
of interest.
4. Check conditions. Calculate the test statistic.
5. Find the p-value.
6. If the p-value is less than the significance level, α, reject the null hypothesis. (There is enough
evidence to reject the claim.)
If the p-value is greater than the significance level, α, do not reject the null hypothesis.
(There is not enough evidence to reject the claim.)
(You can use the p-value to make a statement about the strength of the evidence against H0
without using α, e.g., p>.10 implies “little or no evidence against H0”, .05< p ≤ 10 implies
“some evidence against H0”, .01 < p ≤ .05 implies “good evidence against H0”, .001 < p ≤ .01
implies “strong evidence against H0”, p ≤ .001 implies “very strong evidence against H0”.)
7. Write a statement to interpret the decision in the context of the original claim.
Test statistics: (Step 3)
Hypothesis testing for a mean (σ is known, and the variable is normally distributed in the
population or n > 30 ) z
x
n
=
− µ
σ
0
(TI-83: STAT TESTS 1:Z-Test)
Hypothesis testing for a mean (σ is unknown, and the variable is normally distributed in the
population or n > 30 ) t
x
s
n
=
− µ0
(TI-83: STAT TESTS 2:T-Test)
Hypothesis testing for a proportion (when np and n p 0 0 ≥ 10 1 10 ( ) − ≥
(TI-83: STAT TESTS 5:1-PropZTest)
Step-by-step explanation:
i think that it?
Answer:
0.0823
Step-by-step explanation:
PLEASE HELP WILL GIVE POINTS
Batrative
7 Her's cell phone plan costs $200 to start. Then there is a $50 charge each month
a What the total cost (start up fee and monthly charge) to use the cell phone
plan for 1 month?
b. What is the total cost for x months?
YA
c. Graph the cost of the cell phone planever a period of two years, using mohs
as the units of time. Be sure to label your axes and scale them by labeling rach
gridline with a number.
d. Is there a proportional relationship between time and the cost of the cell phone
plan? Explain how you know.
e. Tyler's cell phone plan costs $350 to start, then there is a $50 charge each
month. On the same grid as Han's plan, graph the cost of Tyler's cell phone plan
over a period of two years. Describe fow the two graphs are the same and how
they are different.
Answers
a. Using this, plug in 1 into the x value to get the total cost (y) for one month. So y = 50*1 + 200, which is just 50 + 200, which is 250. So y for 1 month would be 250.
b. The equation above (y = 50x + 200) would also represent the cost for x months.
c. Graph the line using the equation (200 as starting value (value at 0) and 50 as rise in slope)
Label the horizontal x-axis “time in months”, and each grid line represents “2” months (bc there’s 12 lines, and we want to graph 2 years/24 months). Label the vertical y-axis “cost in hundreds of dollars) and label each grid line “2” bc it represents hundreds of dollars.
d. There is a proportional relationship between time and cost bc as time goes by, cost goes up.
e. Graph the line using the new equation: y = 50x + 350 (350 as starting value (value at 0 x) and 50 as rise in slope)
Describe what you see (Tyler’s plan is more expensive bc the starting value/y-intercept is higher)
A football team lost 5 yards on each of 3 plays.Explain how you could use a number line to find the teams change in field position after 3 plays.Then find and interpret the change in position
Answers
Answer:
Kindly check explanation and attached picture
Step-by-step explanation:
Given that:
A football team lost 5 yards on each of 3 plays
Using a number line we could show the loss in yard after each play. With a loss of 5 yards after each play, there will be a total of:
(Number of plays * yards lost) = (3 * 5) = 15 yards
The attached picture shows a number line moving a distance of 5 yards to the left ( negative direction) after each play after which it arrives at a total loss of 15 yards after the third play.
