The height of an arrow launched with an initial speed of 40 meters per second is modeled by the function (1) = 40t -5t, where h is the height in meters and t is the time in seconds. Find the maximum height the arrow reaches before it hits the ground. "Hint" Make a diagram to visualize the scenario
Answers
The maximum height reached by the arrow before it hits the ground is 80 meters.
To find the maximum height reached by the arrow, we need to determine the vertex of the quadratic function that models its height. The function given is h(t) = 40t - 5t^2.
By examining the form of the equation, we can see that it is a downward-opening quadratic function. This means that the maximum point will occur at the vertex of the parabola.
The vertex of a quadratic function in the form ax^2 + bx + c can be found using the formula x = -b/2a. In this case, the coefficient of t^2 is -5, and the coefficient of t is 40.
Using the formula, we can calculate the time at which the maximum height is reached:
t = -40 / (2 * -5) = -40 / -10 = 4 seconds.
Since time cannot be negative in this context, we discard the negative value and conclude that the arrow reaches its maximum height after 4 seconds.
To find the maximum height, we substitute the value of t into the function:
h(4) = 40 * 4 - 5 * 4^2 = 160 - 5 * 16 = 160 - 80 = 80 meters.
Therefore, the maximum height reached by the arrow before it hits the ground is 80 meters.
Know more about Substitute here:
https://brainly.com/question/29383142
#SPJ11
Related Questions
show workk plzzzzzzzzzzzzzz
Answers
Answer:
A. $4594.74
Step-by-step explanation:
To figure this out, use the equation A = P(1 + r/n)^nt. (A is the total principal (P) + interest; r is the decimal form of the annual rate (R), n is the compound, and t is the time in years)
Substitutions added
A = 4000((1 + 0.02/1)^(1(7))
Step 1: We can go on ahead and cancel both the division and multiplication by 1 here.
A = 4000((1 + 0.02)^7)
Step 2: Add 0.02 to 1.
A = 4000(1.02 ^ 7)
Step 3: Find 1.02 to the seventh power. (I rounded it for convenience)
A = 4000(1.14868)
Step 4: Multiply 4000 by 1.14868
A = 4594.74267
Step 5: This is important! Round that answer to the nearest cent.
A = $4594.74, which is A.
(2x-3)^2 multiply it
Answers
Answer:
4 x^ 2 − 12 x + 9
Step-by-step explanation:
multiplied the binomials
Answer: 4x^2+12x+9
Step-by-step explanation:
find the global maximum and minimum, if they exist, for the function f(x)=3ln(x)−x for all x>0.
Answers
We can then compare those values to determine the global maximum and minimum.
Find the derivative of f(x) using the chain rule: f'(x) = (3/x) - 1For a critical point, f'(x) = 0: (3/x) - 1 = 0 ⇒ 3 = x.
So x = 3 is the only critical point in the domain x>0. We can check that this is a local maximum point by looking at the sign of the derivative on either side of x = 3:When x < 3, f'(x) is negative.
When x > 3,
f'(x) is positive.
So f(x) has a local maximum at x = 3.
To find the values of f(x) at the endpoints of the domain, we can evaluate the function at x = 0 and x = ∞:f(0) is undefined.
f(∞) = -∞.
Therefore, f(x) has no global maximum but it has a global minimum, which occurs at x = e. To show this, we can compare the values of f(x) at the critical point and the endpoint:
e ≈ 2.71828, which is the base of the natural logarithm.
Know more about functions here:
https://brainly.com/question/2328150
#SPJ11
if ŷ = 120 − 3x with y = product and x = price of product, what happens to the demand if the price is increased by 2 units?
Answers
Therefore, if the price of the product is increased by 2 units, the demand will decrease by 6 units.
To determine the change in demand when the price is increased by 2 units, we substitute the new price into the demand equation and compare it to the original demand.
Given:
ŷ = 120 - 3x
Let's assume the original price is denoted by x, and the new price is x + 2.
Original demand:
y = ŷ
= 120 - 3x
New demand:
y' = ŷ'
= 120 - 3(x + 2)
= 120 - 3x - 6
= 114 - 3x
Comparing the original demand (y = 120 - 3x) with the new demand (y' = 114 - 3x), we can see that the demand decreases by 6 units when the price is increased by 2 units.
To know more about demand,
https://brainly.com/question/14894875
#SPJ11
PLEASE SOMEONE ANSWER THIS ASAP !!!!!!!!!
Graph the function f(x) = 2*-7 on the set of axes below.
If g(x)= 1.5x-3, determine if f(x) > g(x) when x = 4. Justify your answer.
IMAGE NEEDED!!!!!
Answers
Answer:
for the second one,
f(4)= 2⁴-7= 9
g(4)= 1.5x4-3= 3
therefore 9>3
f(4)>g(4)
For each type of effect listedâmain effects, two-way interactions, and three-way interactionsâidentify the maximum number of possible effects that could be tested in a 2 Ã 2 Ã 2 factorial design. - 3 main effects- 1 three- way interaction- 3 two-way interactions
Answers
The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.
In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:
There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.
Two-way interactions:
There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.
These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:
There is 1 possible three-way interaction that can be tested in this design: AxBxC.
This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.
For similar question on interaction.
https://brainly.com/question/11151273
#SPJ11
A restaurant charges a single price for its buffet. The total bill for a table of six people having the buffet was $294. Each of the 8 people at a second table also had the buffet. What was the total bill at the second table?
Answers
So the cost for the 8 people at the other table would be $49 x 8 = $392
9 + 7 - 3 x 3 - 2 to the second power
Answers
Answer:
3
Step-by-step explanation:
Write the ratio as a fraction in lowest terms. (3.4)/(2.2)
Answers
The ratio 3.4/2.2 can be expressed as a fraction in lowest terms as 17/11.
To find the fraction in lowest terms, we need to simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 17 and 11 is 1, as there are no common factors other than 1. Dividing 17 and 11 by 1 gives us the fraction 17/11, which is already in its simplest form.
In the given ratio 3.4/2.2, the numerator is 3.4 and the denominator is 2.2. To convert it into a fraction, we can express both the numerator and denominator as whole numbers by multiplying them by a power of 10. In this case, we multiply both 3.4 and 2.2 by 10 to get 34 and 22, respectively. The ratio then becomes 34/22. To simplify this fraction, we find the greatest common divisor of 34 and 22, which is 2. Dividing both the numerator and denominator by 2 gives us the fraction 17/11, which is the simplest form of the ratio.
Learn more about ratio here:
https://brainly.com/question/8482466
#SPJ11
he ratio of yes votes to no votes was to . if there were no votes, what was the total number of votes?
Answers
The given ratio of yes votes to no votes is 3:4
Then,
The ratio of yes votes: to no votes = 3:4
Yes votes = 2721,
Now,
2721/3 = 907
907 × 4 = 3628.
Hence, there were 3628 no votes.
To calculate the ratio, use this formula:
Ratios equate two numbers, usually by dividing them. If you are comparing one data point (x) to any other data point (y), your formula would be x/y. This means you are dividing information x by information y.
For example, if A is 50 and B is 100, your ratio will be 50/100 the ratio will be 1:2.
Learn more about ratios:
brainly.com/question/2328454
#SPJ4
For standadrd normal random variable Z, find (i)
p(0 < Z < 1.35), (ii) p(-1.04 < Z < 1.45), (iii) p(-1.40
< Z < -0.45), (iv) p(1.17 < Z < 1.45), (v) p( Z < 1.45), (vi) p(1.0 < Z < 3.45)
Answers
Using a standard normal table or a calculator, we find that P(Z < 3.45) is approximately 0.9998, and P(Z < 1.0) is approximately 0.
To find the probabilities for the given intervals involving a standard normal random variable Z, we can use the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the probability that a standard normal random variable is less than or equal to a given value. Here are the calculations for each interval:
(i) p(0 < Z < 1.35):
We need to find P(0 < Z < 1.35). Using the CDF, we have:
P(0 < Z < 1.35) = P(Z < 1.35) - P(Z < 0)
Using a standard normal table or a calculator, we find that P(Z < 1.35) is approximately 0.9115, and P(Z < 0) is 0.5.
Therefore,
P(0 < Z < 1.35) ≈ 0.9115 - 0.5 = 0.4115
(ii) p(-1.04 < Z < 1.45):
Similar to (i), we have:
P(-1.04 < Z < 1.45) = P(Z < 1.45) - P(Z < -1.04)
Using a standard normal table or a calculator, we find that P(Z < 1.45) is approximately 0.9265, and P(Z < -1.04) is approximately 0.1492.
Therefore,
P(-1.04 < Z < 1.45) ≈ 0.9265 - 0.1492 = 0.7773
(iii) p(-1.40 < Z < -0.45):
Again, using the CDF, we have:
P(-1.40 < Z < -0.45) = P(Z < -0.45) - P(Z < -1.40)
Using a standard normal table or a calculator, we find that P(Z < -0.45) is approximately 0.3264, and P(Z < -1.40) is approximately 0.0808.
Therefore,
P(-1.40 < Z < -0.45) ≈ 0.3264 - 0.0808 = 0.2456
(iv) p(1.17 < Z < 1.45):
Applying the same approach, we get:
P(1.17 < Z < 1.45) = P(Z < 1.45) - P(Z < 1.17)
Using a standard normal table or a calculator, we find that P(Z < 1.45) is approximately 0.9265, and P(Z < 1.17) is approximately 0.8790.
Therefore,
P(1.17 < Z < 1.45) ≈ 0.9265 - 0.8790 = 0.0475
(v) p(Z < 1.45):
Here, we only need to find P(Z < 1.45). Using a standard normal table or a calculator, we find that P(Z < 1.45) is approximately 0.9265.
Therefore,
P(Z < 1.45) ≈ 0.9265
(vi) p(1.0 < Z < 3.45):
We have:
P(1.0 < Z < 3.45) = P(Z < 3.45) - P(Z < 1.0)
Using a standard normal table or a calculator, we find that P(Z < 3.45) is approximately 0.9998, and P(Z < 1.0) is approximately 0.
To know more about probability click-
http://brainly.com/question/24756209
#SPJ11
The standard normal distribution is a type of normal distribution that has a mean of zero and a variance of one. The normal distribution is continuous, symmetrical, and bell-shaped, with a mean, µ, and a standard deviation, σ, that determine its shape.
The area under the standard normal curve is equal to one. The standard normal distribution is also referred to as the z-distribution, which is a standard normal random variable Z. The standard normal distribution is a theoretical distribution that has a bell-shaped curve with a mean of zero and a variance of one. It is employed to calculate probabilities that are associated with any normal distribution.P(z < 1.35)We are given p(0 < Z < 1.35), and the question is asking for p(Z < 1.35) when z is standard normal. The probability can be found using the standard normal distribution table, which yields a value of 0.9109. Hence, p(Z < 1.35) is 0.9109.P(-1.04 < Z < 1.45)The probability of a standard normal random variable Z being greater than -1.04 and less than 1.45 is given by p(-1.04 < Z < 1.45). Since the table only gives probabilities for Z being less than a certain value, we can use the fact that the standard normal distribution is symmetric to compute p(-1.04 < Z < 1.45) as follows:p(-1.04 < Z < 1.45) = p(Z < 1.45) - p(Z < -1.04)By checking the standard normal distribution table, p(Z < 1.45) = 0.9265 and p(Z < -1.04) = 0.1492. Thus, p(-1.04 < Z < 1.45) is equal to 0.9265 - 0.1492 = 0.7773.P(-1.40 < Z < -0.45)Like in the previous example, we use the symmetry of the standard normal distribution to compute p(-1.40 < Z < -0.45) since the table only provides probabilities for Z being less than a certain value:p(-1.40 < Z < -0.45) = p(Z < -0.45) - p(Z < -1.40)By checking the standard normal distribution table, p(Z < -0.45) = 0.3264 and p(Z < -1.40) = 0.0808. Thus, p(-1.40 < Z < -0.45) is equal to 0.3264 - 0.0808 = 0.2456.P(1.17 < Z < 1.45)Again, like in the previous examples, we use the symmetry of the standard normal distribution to compute p(1.17 < Z < 1.45):p(1.17 < Z < 1.45) = p(Z < 1.45) - p(Z < 1.17)By checking the standard normal distribution table, p(Z < 1.45) = 0.9265 and p(Z < 1.17) = 0.8790. Thus, p(1.17 < Z < 1.45) is equal to 0.9265 - 0.8790 = 0.0475.P(Z < 1.45)We are given p(Z < 1.45) and we can check the standard normal distribution table to get a value of 0.9265.P(1.0 < Z < 3.45)Again, like in the previous examples, we use the symmetry of the standard normal distribution to compute p(1.0 < Z < 3.45):p(1.0 < Z < 3.45) = p(Z < 3.45) - p(Z < 1.0)By checking the standard normal distribution table, p(Z < 3.45) = 0.9998 and p(Z < 1.0) = 0.1587. Thus, p(1.0 < Z < 3.45) is equal to 0.9998 - 0.1587 = 0.8411.The probabilities can be summarized as follows:p(0 < Z < 1.35) = 0.9109p(-1.04 < Z < 1.45) = 0.7773p(-1.40 < Z < -0.45) = 0.2456p(1.17 < Z < 1.45) = 0.0475p(Z < 1.45) = 0.9265p(1.0 < Z < 3.45) = 0.8411
To know more about normal distribution, visit:
https://brainly.com/question/15103234
#SPJ11
3. Which equation is equivalent to: 2-(3x + 5) - 3+ 2(4x + 1). SHOW WORK TO SUPPORT 0 -3x + 7 - 8x + 4 0-3x + 7 - 8x + 5 0-3x -- 3 = 8x + 5 a 3x3 8x +
Answers
After simplification of the given linear equation [2-(3x+5)-3+2(4x+1)], the reduced form is 5x - 4.
What is a linear equation?First, it is important to know about algebraic expressions and equations.Algebraic expressions consist of variables and numbers connected with addition, subtraction, multiplication, and division.The equation shows the equality between two algebraic expressions by connecting the two algebraic expressions with an equal sign.A one-degree equation is known as a linear equation.So, the given linear equation:
2-(3x + 5) - 3+ 2(4x + 1)Now, calculate as follows:
2 - (3x + 5) - 3 + 2(4x + 1)2 - 3x - 5 - 3 + 8x + 25x - 4On solving 2-(3x + 5) - 3+ 2(4x + 1), it is reduced to 5x - 4.
Therefore, after simplification of the given linear equation [2-(3x+5)-3+2(4x+1)], the reduced form is 5x - 4.
To learn more about linear equations, refer to the link:
brainly.com/question/2030026
#SPJ9
2/5+5/11 can some one tell the answer
Answers
The answer is 47/55
It can be calculated by adding both fractions together
= 2/5 + 5/11
The LCM between the two fractions is 55
= 22+25/55
= 47/55
Hence the answer is 47/55
Read more here
https://brainly.com/question/13204904?referrer=searchResults
#SPJ1
13/26= x/24 solve for x
Answers
Answer: x = 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you would multiply both sides by 24
2) A box holds 6 smaller
boxes with 160 paper clips in
each box. If 1.5 of the boxes
have been used, how many
paper clips are left?
Answers
The number of paper clips that are left will be 480 clips.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A box holds 6 smaller boxes with 160 paper clips in each box. If 1.5 of the boxes have been used. Then the number of paper clips that are left is given as,
⇒ (2 - 1.5) x 6 x 160
⇒ 0.50 x 960
⇒ 480
The number of paper clips that are left will be 480 clips.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ6
How many boxes of items will Jamie ship if she ships the greatest number possible in each box? Enter the correct answers in the boxes. She needs to ship 48 plates and 54 bowls to a store. She wants to ship the same number of items in each box. Plates and bowls are shipped separately.
Answers
Answer:
about 6 boxes for each
Step-by-step explanation:
both numbers have a common factor of 6, so 8 plates in each box, and 9 bowls in each box. She would need 12 boxes in total.
in a large population 54% of the people hav been vaccinated 3 people are randomly selected what is the probability that at least one of them has been vaccinated
Answers
The probability that at least one of the three people has been vaccinated is 92.8%.
Step-by-step explanation: Given, In a large population, 54% of the people have been vaccinated. Then, the probability that one person has been vaccinated is 54/100 = 0.54.
The probability that one person has not been vaccinated is 1 - 0.54 = 0.46. The probability that all three people have not been vaccinated is (0.46)³ = 0.097336. The probability that at least one person has been vaccinated is 1 - 0.097336 = 0.902664. Hence, the probability that at least one of the three people has been vaccinated is 92.8%.
See more about probability at: https://brainly.com/question/13604758
#SPJ11
john is a member of a recreational bowling league. his bowling scores from 2006 to 2015 can be modeled by the equatio
Answers
The number 16.8 in the equation means the points with which his score will increase in every game.
The stated equation has the constant 16.8 associated with the number of years. The number indicates that the person earns 16.8 additional points after each game. This number adds on to the total score. In other words, it indicates the points by which his score increase per game. Considering the equation, it p = 16.8t + 80.5. Here, p refers to y-axis, 16.8 is the slope and t is the x-axis. The 80.5 is the y-intercept and indicates the starting average per game.
Learn more about equations -
https://brainly.com/question/29174899
#SPJ4
solve the initial value problem below using the method of laplace transforms. y′′−2y′−3y=0, y(0)=1, y′(0) = 2
Answers
To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.
First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.
Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).
To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.
Learn more about Laplace transforms here: brainly.com/question/30759963
#SPJ11
25 percent of tickets sold at a water park were child tickets if the park sold 80 tickets in all how many tickets were child tickets AJJSJJ
Answers
Answer:
20
Step-by-step explanation:
What is 25 percent (calculated percentage %) of number 80? Answer: 20.
i need help with this the question is: Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on the shelf. Thanks are helping
Answers
Answer:
If Josh had 27 baseballs and has 3 shelves, then if he splits the 27 between 3 he will get 9.
Step-by-step explanation:
27 ÷ 3 = 9
Hope this helps.
What does this mean.
Answers
Answer:
It means 3 times pi (π) or 3 times 3.14159...
Step-by-step explanation:
if a number/value is directly next to another number/value, then that means that you're multiplying. Example: 3x or 3(5). Hope this makes sense and good luck on your assignment.
Answer:
it could either mean 33.14...... or because the symbol means pi which is 3.14..
Needing help...again giving out many points if right (90 to be exact)
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
x=12
Step-by-step explanation:
4x-10=3x+2
Subtract 3x on both sides:
x-10=2
Add 10 on both sides:
x=12
Hope this helps!
Assume y(t) = 2t{t-4 x(T) dt
a) Find impulse response b) Determine this system is linear or non-linear c) Check the stability of this system
Answers
For the given expression 2t² is the impulse response, and the given system is linear and the system is unstable
Given, y(t) = 2t{t-4 x(T) dt.
a) To find impulse response, let x(t) = δ(t).Then, y(t) = 2t{t-4 δ(T) dt = 2t.t = 2t².
Let h(t) = y(t) = 2t² is the impulse response.
b) A system is said to be linear if it satisfies the two properties of homogeneity and additivity.
A system is said to be linear if it satisfies the two properties of homogeneity and additivity. For homogeneity,
let α be a scalar and x(t) be an input signal and y(t) be the output signal of the system. Then, we have
h(αx(t)) = αh(x(t)).
For additivity, let x1(t) and x2(t) be input signals and y1(t) and y2(t) be the output signals corresponding to x1(t) and x2(t) respectively.
Then, we have h(x1(t) + x2(t)) = h(x1(t)) + h(x2(t)).
Now, let's consider the given system y(t) = 2t{t-4 x(T) dt.
Substituting x(t) = αx1(t) + βx2(t), we get y(t) = 2t{t-4 (αx1(t) + βx2(t))dt.
By the linearity property, we can write this as y(t) = α[2t{t-4 x1(T) dt}] + β[2t{t-4 x2(T) dt}].
Hence, the given system is linear.
c) A system is stable if every bounded input produces a bounded output.
Let's apply the bounded input to the given system with an input of x(t) = B, where B is a constant.Then, we have
y(t) = 2t{t-4 B dt} = - 2Bt² + 2Bt³.
We can see that the output is unbounded and goes to infinity as t approaches infinity.
Hence, the system is unstable. Therefore, the system is linear and unstable.
Thus, we have found the impulse response of the given system and checked whether the system is linear or not. We have also checked whether the system is stable or unstable. We found that the system is linear and unstable.
To know more about linearity property visit:
brainly.com/question/30093260
#SPJ11
90% of the students in a high school have a cell phone. if there are 750 students in the school, how many of the students have cell phones
Answers
Step-by-step explanation:
i think so is like this lah
how does the graph of f(x)=2^x+2 compare to the graph of g(x)=2^x +2
Answers
Answer: The graph of f(x) = 2^x and g(x) = 2^x +2 are the same.
Explanation: The functions f(x) = 2^x and g(x) = 2^x + 2 are identical. The only difference between them is the constant term in the second function. This constant term does not change the shape, direction or the relative position of the graph of the function, it only shifts the graph along the y-axis. Because both functions have the same base, the graphs will have the same shape, direction and relative position, regardless of the constant term.
Evaluate f(x) = –4x – 5 for x = –1. –9 –1 4 1
Answers
Answer:
f(-1) = -1
Step-by-step explanation:
f(x) = –4x – 5
Let x = -1
f(-1) = -4(-1) -5
= 4 -5
= -1
Predict what will happen to the graph of the function f(x) = xã, if the function
is changed to
f(x) = (x+5).
A. The graph will shift up 5 units.
B. The graph will shift down 5 units.
C. The graph will shift to the left 5 units.
D. The graph will shift to the right 5 units.
Answers
Hope this helps!
If you want a detailed step by step ask me
The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours? A probability distribution has the number of hours on the x-axis and the probability on the y-axis. The probability of 6 hours is 0. 02; 7 hours is 0. 11; 8 hours is 0. 61; 9 hours is 0. 15; 10 hours is 0. 9. 0. 62 0. 78 0. 84 0. 96.
Answers
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
How to evaluate the probability of a random variable getting at least some fixed value?Suppose the random variable in consideration be X, and it is discrete.
Then, the probability of X attaining at least 'a' is written as:
\(P(X \geq a)\)
It is evaluated as:
\(P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)\)
The probability distribution of X is:
x f(x) = P(X = x)
6 0.02
7 0.11
8 0.61
9 0.15
10 0.09
Worker working at least 8 hours means X attaining at least 8 as its values.
Thus, probability of a worker chosen at random working 8 hours is
P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.
By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
Learn more about probability distributions here:
https://brainly.com/question/14882721
The circumference of a circular field is 251.2 yards. What is the diameter of the field? Use 3.14 for and do not round your answer.
Answers
Answer:
80 yardsStep-by-step explanation:
c = πd
251.2 = 3.14d
Divide both sides by 3.14
80 = d
Answer:
d = 80
Step-by-step explanation:
The equation for circumference is 2 × pi × r.
Therefore, we can write the equation 2 × pi × r = 251.2
Divide by 2 on both sides. pi × r = 125.6
Since we are using 3.14 for pi, divide both sides by 3.14. r = 40.
We are finding the diameter, which is double the radius. 2r = d. 2(40) = 80.