Side View of a Waterslide
Select the points you need to calculate the
average rate of change from the beginning of the
slide to when the slide has covered a horizontal
distance of 15 feet.
800
O
(0, 80)
60
(5, 40)
OOO
Height (ft)
(10, 20)
(15, 10)
DONE
20
20
10
Horizontal Distance (ft)
Answers
Answer:
(0, 80)
(15, 10)
Step-by-step explanation:
The initial point the beginning of the point and the point where the horizontal distance covered is 15 ft are the two points needed to calculate the average rate of change required.
From the graph,
Initial point = (0, 80)
The point of the slide when distance covered is 15 ft = (15, 10)
These are the points needed.
Related Questions
The number of incoming students at two campuses of a midwestern university have historically been normally distributed. The main campus incoming class has a mean of 3,507 and a standard deviation of 375, and the regional campus incoming class has a mean of 740 and a standard deviation of 114. If there were 3,838 incoming students on the main campus and 848 on the regional campus, which had the more successful year in student recruitment based on z scores
Answers
Answer:
Due to the higher z-score, the regional campus had the more successful year in student recruitment.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The main campus incoming class has a mean of 3,507 and a standard deviation of 375. There were 3,838 incoming students on the main campus.
We have to find Z, considering [tex]X = 3838, \mu = 3507, \sigma = 375[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3838 - 3508}{375}[/tex]
[tex]Z = 0.88[/tex]
Regional campus incoming class has a mean of 740 and a standard deviation of 114. 848 students on the regional campus.
We have to find Z when [tex]X = 848, \mu = 740, \sigma = 114[/tex].
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{848 - 740}{114}[/tex]
[tex]Z = 0.95[/tex]
Which had the more successful year in student recruitment based on z scores?
Due to the higher z-score, the regional campus had the more successful year in student recruitment.
HELP PLEASE ASAP What is the product of any integer and -1?
Answers
Answer:
A
Step-by-step explanation:
The product is opposite of the integer
For example
2 * -1 = -2
how can two different rectangles both have a perimeter of 24 cm
Answers
Explanation:
Perimeter is simply the sum of all the edges. The same way 10 can be made of 4+6 or 3+7, the perimeter can be made by many combinations. if you know the 2 must equal 24cm, then we can create numerous combinations.
Câu 1 (2 điểm). Cho hệ các vector
U = {(1,2,2); (0,-1,-1);(2,3,3);(1,0,0).
a) tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U
b) tìm tham số k để u=(2,3,k^2 +1) là một tổ hợp tuyến tính cảu W, và suy ra [u]w
giải hộ mình với
Answers
Answer:
Step-by-step explanation:
9,16,25,36 arithmetic or geometric?
24,18,12,arithmetic or geometric?
500,100,20 ,4 arithmetic or geometric?
Answers
Answer:
9,16,25,36 neither, 24,18,12 arithmetic, 500,100,20 ,4 geometric
Step-by-step explanation:
1. has no common number
2. goes down by 6 each time
3. is divided by 5 each time
7/7q+21= x /5q^2-45 then x=?
Answers
Answer:
x = 5q - 15
Step-by-step explanation:
[tex]\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15[/tex]
Whoever helps gets Brainliest!!! PLEASE HELP!!!
Answers
The set (AB) (B-C) is equal to
Answers
Answer:
AB^2- AC.
Step-by-step explanation:
I'm not sure if this question is complete, but when two separate variables are placed in brackets side by side, then it means they need to be expanded.
Therefore, expanding the bracket gives us:
(AB) (B-C)=
AB^2- AC.
This is the answer, if the only task needed is to expand the brackets.
The diameter of the circle below is 82cm. Work out the radius of the circle
Answers
Answer:
Radius = 41
Step-by-step explanation:
Diameter/2=radius
82/2 =41
Answer:
Radius=41
Step-by-step explanation:
Preamble
Diameter=82
Radius=?
Formula
Radius=diameter/2
Radius=82/2
reduce the fraction
82/2=82÷2/2÷2=41/1
therefore radius=41
Please answer this!!! WILL GIVE BRAINLIEST
Answers
Answer:
p > 9
Step-by-step explanation:
First let's note down-
George- has 23$
Total cost of m+p= more than $14
Second, let's subtract 23 and 14 to get what the glue costs.
23 - 14 = 9
So now we can cross out choice A and D.
Third, now earlier I said more than $14, this is the key part to find what we are going to choose.
more than = >
now we just plug in the variable,
p > 9
Hope this helps!
Please reach out to me if you still don't understand :)
5)
I
6
50°
16x + 2
B) 9
A) -10
C) 4
D) 8
Answers
Answer:
c is answer
Step-by-step explanation:
c is ans because it is simple c only serves the need of questions and satisfy it
Answer:
D) 8
Step-by-step explanation:
Liner pair meaning that the angles have a sum of 180. So you add them together to get the equation 16x+52=180 an16x=128 and then you divide both sides by 16 to get x equal to 8. Hope I helped and post more questions :)
X^2+9x+20 divided by x+5
Answers
Answer:
x ≠ -5
Step-by-step explanation:
The easiest way is to factor the numerator.
x2 + 9x + 20 = (x + 4)(x + 5)
Then
(x2 + 9x + 20)/(x + 5) = (x + 4)(x + 5) / (x + 5) = x + 4,
with the restriction that x ≠ -5
100 POINTSSS! ASAP ANSWEERR PLS
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.
The price f(x), in dollars, of product A after x years is represented by the function below:
f(x) = 0.69(1.03)x
Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer.
Part B: The table below shows the price f(t), in dollars, of product B after t years:
t (number of years) 1 2 3 4
f(t) (price in dollars) 10,100 10,201 10,303.01 10,406.04
Which product recorded a greater percentage change in price over the previous year? Justify your answer.
Answers
PART A
Given:
f(x) = 0.69(1.03)x
To find:
If the price of the product is increasing or decreasing and by what percentage
Steps:
we know the formula to find the price of Product A per year, so
f(1) = 0.69 * 1.03 * 1
Price = $0.7107
f(2) = 0.69 * 1.03 * 2
Price = $1.4214
Here the Price of Product after 2 years is greater than the price of Product after one year. So the price of the product A is increasing.
Now to find percentage increase,
Percentage increase = [tex]\frac{FV-SV}{SV}*100[/tex] (FV = final value, SV = starting value)
Percentage increase = [tex]\frac{1.4214 - 0.7107}{0.7107}*100[/tex]
Percentage increase = [tex]\frac{0.7107}{0.7107}*100[/tex]
Percentage increase = 100 %
Therefore, the percentage increase of Product A is 100%
PART B
Given:
Price of product B in 1st year = $10,100
Price of product B in 2nd year = $10,201
Price of product B in 3rd year = $10,303.01
Price of product B in 4th year = $10,406.04
To find:
Which product recorded a greater percentage change over the previous year
Steps:
We need to find the percentage change of Product B and Product A of each year. We know that the percentage change of product A is 100 % for each year, so we only need to calculate for product B
PC of product B from 1st to 2nd year = [tex]\frac{10,201-10,100}{10,100}*100[/tex]
= [tex]\frac{101}{10,100}*100[/tex]
= 0.01 * 100
= 1 %
PC of product B from 2nd to 3rd year = [tex]\frac{10,303.01-10,201}{10,201} *100[/tex]
= 1%
PC of product B from 3rd to 4th year [tex]=\frac{10,406.04-10,303.01}{10,303.01}*100[/tex]
≈ 1%
So, percentage change of product B is 1% per year
Therefore, Product A has greater percentage change
Happy to help :)
If u need more help, feel free to ask
Answer:
A) The price of product A is increasing by 3% per year.
(B) The product A recorded a greater percentage change in price over the previous year.
Step-by-step explanation:
(A)
The function representing the price, in dollars, of product A after x years is:
FA(x)=0.69*(1.03)x
The function FA(x)can be written as:
FA(x)=0.69*1+(0.03)x
The function FA(x) is similar to the exponential growth function, y=a(1+r)x .
Here r is the growth rate.
Thus, it can be said that the price of product A is increasing by 3% per year.
(B)
Consider the data of product B for the year 3 and 4.
The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.
Compute the percent price change from year 3 to 4 as follows:
10406.04-10303.01/10303.01*100
which is 0.999%
~1%
The price of product B is increasing by 1% per year.
Thus, the product A recorded a greater percentage change in price over the previous year.
99 students at a college were asked whether they had completed their required English 101 course, and 71 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.
Answers
Answer: 0.070
Step-by-step explanation:
The question is asking you to estimate how many students completed the English 101 course.
1. Round 99 and 71 to 100 and 70
2. I am not completely sure but I believe the answer is 0.070?
3. Hope it helps! :)
From families with four children a family is chosen at random. Let X be the number of boys in the family. Calculate and sketch the distribution function of X. Assume that in a four-child family all gender distributions (for example, BBBB, BBBB, BBBB, BBBB, etc.) are equally probable.
Answers
Solution :
Given :
X = the number of boys in a family of four children
Families having four children are chosen randomly.
The gender distribution in the four child family are equally probable.
Thus,
X P(X) CDF
0 [tex]^4C_0 (1/2)^{4}[/tex] = 1/16 [tex]\frac{1}{16}[/tex]
1 [tex]^4C_1 (1/2)^{4}[/tex] = 1/4 [tex]\frac{5}{16}[/tex]
2 [tex]^4C_2 (1/2)^{4}[/tex] = 3/8 [tex]\frac{11}{16}[/tex]
3 [tex]^4C_3 (1/2)^{4}[/tex] = 1/4 [tex]\frac{15}{16}[/tex]
4 [tex]^4C_4 (1/2)^{4}[/tex] = 1/16 1
Write an explicit formula for an, the nth term of the sequence 63,21,7
Answers
Answer:
63/3=2121/3=77/3=7 -3
The length of the longer leg of a right triangle is 6 inches more than twice the length of the shorter leg. The length of the hypotenuse is 9 inches more than twice the length of the shorter leg. Find the side lengths of the triangle.
Answers
9514 1404 393
Answer:
15 in, 36 in, 39 in
Step-by-step explanation:
The Pythagorean theorem tells us that for short side x, the relation is ...
(2x +9)² = (2x +6)² +x²
4x² +36x +81 = 4x² +24x +36 +x²
x² -12x -45 = 0 . . . . . subtract the left-side expression
(x -15)(x +3) = 0 . . . . factor
x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero
The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.
Can someone please answer this please
Answers
Answer: I don't know but i have the formula.
Step by Step: [tex]A=\frac{1}{2}b h[/tex]
I will get my points but answer it correctly and no LINKS!!! (factotise by using a suitable identity X5-X)
Answers
x(x-1)(x+1)(x²+1)=0
Hope it helps you
Which of the following pairs consists of equivalent fractions? .4/6 and 3/5 or 9/16 and 3/32 or 18/48 and 15/40 or 7/10 and 10/7
Answers
Answer:
18/48 and 15/40
Step-by-step explanation:
The moment generating function for health care costs experienced by a policyholder is given as follows:
Mx(t)= (4/4-t)^3
An insurer reimburses the policyholder for 70% of health care costs experienced by the policyholder. Calculate the expected reimbursement by the insurer for a policyholder.
Answers
Answer:
0.525 = 52.5%
Step-by-step explanation:
Moment generating function ( Mx(t) ) = ( 4 / 4-t)^3
Reimbursement by Insurer = 70%
Determine the expected reimbursement by insurer for policyholder
d/dx (Mx(t) ) = d/dt ( 4 / 4-t)^3 = d/dt (1 - t/4 )^-3
= 3/4 ( 1 - t/4 )^-4 = 3/4
as t → 0
Given that the insurer reimburses 70% = 0.7
expected reimbursement = 0.7 * 3/4 = 0.7 * 0.75 = 0.525
can anyone pls answer this! it's really urgent!
Answers
Answer:
The answer is C
Step-by-step explanation:
You need to find a common denominator and in this case its 20. SO you change 3/4ths to 15/20 and 4/5ths to 16/20ths and 19/20 stays the same. Then you cancel out the 20 because its all the same number (I think) and you have your answer.
What's the LCM of 16,24,40
Answers
Step-by-step explanation:
explanation is in the attachment
hope it is helpful to you
How much in earning can PNG make in a year in cocoa export of 400 000 tonnes at K2 353 per tonne ? (2 marks)
Answers
Answer: K941,200,000
Step-by-step explanation:
From the question, we are to calculate the amount of earning that PNG can make in a year in cocoa export of 400 000 tonnes at K2 353 per tonne.
This will be:
= Number of tonnes × Amount per ton
= 400000 × k2353
= K941,200,000
Therefore, the answer is K941,200,000
Simplify 3/4 X 14/ 15 .
Answers
Karl wants to fertilize his 6 acres. If it takes 7 StartFraction 2 Over 3 EndFraction bags of fertilizer for each acre, how much fertilizer does Karl need to buy?
Answers
Answer:
46
Step-by-step explanation:
Just multiply 6 by 7 2/3 to get 46.
Answer:
The answer is 46 bags
Step-by-step explanation:
Have a good summer!!!
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
x + y - z = -2
2x - y + 3z = 9
x - 4y - 2z = 1
Answers
Answer:
(x, y, z) =(1, -1,2)
Step-by-step explanation:
.............
DJ Jacqueline is making a playlist for work; she is trying to decide what 9 songs to play and in what order they should be played. If she has her choices narrowed down to 6 jazz, 19 reggae, and 7 blues songs, and she wants to play an equal number of jazz, reggae, and blues songs, how many different playlists are possible
Answers
Pick any set of 4 from each kind, and then there will be 12! ways to play them.
21C4 * 13C4 * 25C4 * 12! = 2.593*10^19
Complete the table of inputs and outputs for the given function. g(x) = 3 - 8x g() 0 -5 3 Reset
Answers
Answer:
Step-by-step explanation:
when is 9+10 really equal to 21
Answers
Answer:
9 + 10 = 21
Step-by-step explanation:
9 + 10 = 21
Factor out 9 and 10
9 = 3 · 3 10 = 2 · 5
Next multiply 3 by 2
3 × 2 = 6
Then multiply 3 by 5
3 · 5 = 15
Finally add the products
15 + 6 = 21