During one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height, h of the ball above the field as a function of time , t, in seconds can be partially modeled by the following table:
t
0
0.6
1.2
1.8
2.4
3.0
h(t)
2.50
28.56
43.10
46.12
37.12
17.60
Use your graphing calculator, to obtain a quadratic regression function for these data. Round the values of a,b, and c to four decimal places.
a.
h (t) = negative 15.9752 t cubed + 52.8875 t + 2.5536
c.
h (t) = 15.9752 t squared + 52.8875 t + 2.5536
b.
h (t) = negative 15.9752 t squared + 52.8875 t + 2.5536
d.
h (t) = negative 15.9752 t squared minus 52.8875 t + 2.5536
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
The quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that during one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height {h} of the ball above the field as a function of time {t} in seconds can be partially modeled by the following table -
{t} 0 0.6 1.2 1.8 2.4 3.0
h{t} 2.50 28.56 43.10 46.12 37.12 17.60
Using the graphing calculator, we can calculate the values as -
Mean of {x} : 1.5
Mean of {y} : 29.16666667
Correlation coefficient {r} : 0.9999376942
A : 2.55357143
B : 52.8875
C : -15.97519841
We can write the quadratic regression function as -
f(x) = A + Bx + Cx²
f(x) = 2.55357143 + 52.8875x - 15.97519841x²
Therefore, the quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ3
Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?
Answer:
45.92
Step-by-step explanation:
50%=14
10%=2.8
4%=1.12
64%=19.92
19.92+28= 45.92
A game at a carnival has the following rules: A player rolls a 6-sided die and, if the number is less than
6, wins twice the number on the die in tokens. On the other hand, the player loses 12 tokens when a 6 is
rolled. What should it cost to play if the game is to be fair?
Answer: 2 tokens
Step-by-step explanation: 6 and 12 are both able to be divided by 2 i dunno
I need help really bad please
Answer:
$40
Step-by-step explanation:
Convert gallons to quarts using the following ratio:
4 quarts = 1 gallon
Since she bought 5 gallons of orange juice, multiple 5 by 4.
5 × 4 = 20 quarts
1 quart of orange juice costs $2.
20 × $2 = $40
Hope that helps.
Write an equation of the line passing through point P(-8, 0) that is perpendicular to the line
3x - 5y = 6. Then, graph the lines.
15-3a =??
please help
Answer:
a=5
Step-by-step explanation:
The measured length is 250 ft. The actual length is 246.9 ft. Find the percent error.
In general, how does the growth of y = 4x compare to the growth of y = 4x? The function y = 4x is growing slower than y = 4x. The function y = 4x is growing faster than y = 4x. The functions y = 4x and y = 4x are growing at the same rate. The function y = 4x is growing faster than y = 4x.
Answer:
B. The function y = 4x is growing faster than y = 4x.
Step-by-step explanation:
is the answer.
Solve math please.???
9514 1404 393
Answer:
a) 3
b) 1
c) y = 3x +1
Step-by-step explanation:
Given:
A(1, 4), B(2, 7)
m = (y2 -y1)/(x2 -x1)
Find:
a) the slope of the line through these points
b) the y-intercept of the line through these points
c) the equation of the line through these points
Solution:
a) Using the given formula, the slope is ...
m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line
__
b) The y-intercept can be found from* ...
b = y1 -m·x1
b = 4 -3·1 = 1 . . . the y-intercept
__
c) The equation in slope-intercept form is ...
y = mx +b
y = 3x +1
_____
* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:
y -y1 = m(x -x1)
y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1
b = y1 -m·x1 . . . . . . . . solve for b
The cafeteria has 44 chairs and 8 tables. If the same number of chairs are placed at each table, how many chairs will be at each table? Will there be any extra chairs? If so, how mamy? Wrote your answer in a sentence.
Answer:
5 chairs at each table and Yes there will be 4 chairs left over
Step-by-step explanation:
5*8= 40
44-40= 4
Sentence: 5 chairs will be placed at each table and there will be 4 chairs left over .
Answer:
"There will be five seats at each table and will be four chairs left over since five times eight equals 40 so there will be four chairs left over"
Step-by-step explanation:
you can copy that sentence
During the month of July, we only had 0.1573 inches of rain. What is this, rounded to the nearest thousandth? O 0.2 O 0.158 0.157 inches 0.16
what is 48.5% as a fraction?
Answer:
97/200
Step-by-step explanation:
48.5 % is just 48.5 * 100%, or 48.5/100
We can then simplify 48.5/100 and get rid of the decimal place:
485/1000 =
97/200
I hope this helped! :)
Answer:
97 /200
Step-by-step explanation:
How many solutions does this system of linear equations have? Explain.
1= 2
=1+3 2
Answer: There are no real solutions.
Step-by-step explanation:
We have the equation:
x = y^2
y = x + 3/2
To solve this, we can start by noticing that x is already isolated in the first equation, then we can replace it in the second equation to get:
y = y^2 + 3/2
And now we can rewrite this as:
y^2 - y + 3/2 = 0
This is a quadratic equation, and the solutions can be calculated with Bhaskara's equation, the solutions are:
[tex]y = \frac{-(-1) +- \sqrt{(-1)^2 - 4*3/2*1} }{2*1} = \frac{1 + \sqrt{-5} }{2}[/tex]
We have a negative number inside the square root, this means that the solutions are complex numbers.
Then we can conclude that the system of equations has no real solutions.
Need help with this!
Answer:
your answer is A
Step-by-step explanation:
What is the volume of the rectangular prism?
Answer:
189 yards cubed, hope this helped! :D
Step-by-step explanation:
please answer
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points. How can you set up a system of equations to find how many problems of each point value are on the test? Let x = the number of questions worth 5 points. Let y = the number of questions worth 2 points.
Answer:
5x+2y=35
Step-by-step explanation:
Let me know if this is wrong.
Answer: The correct answer is the first one, x+y=35, 5x+2y=100.
Step-by-step explanation: I got it correct on Edge, Hope this helps :)
My Brother is on the floor rn and doing a funny dance with white bubbles coming out of his mouth.
Answer:
omg the next tik.tok dance
Step-by-step explanation:
Answer:
wow wouldnt dancing on the floor be called rolling?
Step-by-step explanation:
Simply the expression
Answer:
15i
Step-by-step explanation:
-3+7i+3+8i
0+15i
Answer:
Step-by-step explanation:
(-3+7i)-(-3-8i)= -3+7i+3+8i=15i
Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she works, she
is paid 1.5 times her hourly wage. If Daisy works for x hours in a day, and is greater than 8, the expression giving her net earnings for
the day is
v. if Daisy works 13 hours, she will be paid ($1557
Answer:
The expression giving her net earnings for a day with more than 8 hours worked is X = 80 + 15H, where H means "extra hours worked".
Step-by-step explanation:
Given that Daisy works at an ice-cream parlor earning $10 per hour for the first 8 hours she works in a day, and 1.5 times her hourly wage for every extra hour she works, in order to know how much can she make in a day working more than 8 hours the following equation has to be made:
X = (8 x 10) + (H x (1.5 x 10))
X = 80 + 15H
Therefore, if Daisy works 13 hours, the equation works as follows:
X = 80 + 15x13
X = 80 + 195
X = 275
finding the slope (simplest form)
Answer:
m=3, y = 3x - 2
Step-by-step explanation:
slope = rise / run
slope = 6/2
slope = 3
Answer:
The slope is 3.
Step-by-step explanation:
Slope is equal to rise over run. Let’s take a look at the points given to us on the graph.
To go from the leftmost point to the rightmost point, we rise (go up) 6 units, and then we run over (go right) 2 units. So we have:
Slope = Rise/run = 6/2
Now 6/2 is equal to 3, and that’s the slope.
change each mixed number into an improper fraction 6 2/5
Answer:
32/5
Step-by-step explanation:
Convert the mixed number 6 2/5 into an improper fraction by multiplying the denominator by the whole number and then add the numerator.
Ex: 6 2/5 = 5 x 6 +3
Your team wins 24 medals at a competition. The medals are gold, silver, and bronze in a ratio of 1:1:6. How many of each medal did your team win?
gold
Answer:
3 gold
3 silver
18 bronze
Step-by-step explanation:
Look at the ratio. 1:1:6. Add the numbers together and you get 8 right?
8 × 3 = 24
Now that you know how much to multiply each part of the ratio by, (3, if you didn't get that.) now you multiply.
1 × 3 = 3 Gold
1 × 3 = 3 Silver
6 × 3 = 18 Bronze
Sam created the figure below using a rectangle and two congruent triangles. The side lengths of the
rectangle and the base and height of the triangles are shown
What is the area of the shaded region in square inches?
a.112.5in
b.105in
c.135in
d.120in
Answer:
b. 105 in
Step-by-step explanation:
Area of a triangle = ½ bh [base × height].
Area of a rectangle = lw [length × width].
The shaded region is taken up by the two triangles which means that you subtract the area of the rectangle from the two triangles.
Assuming that the two triangles are congruent [same shape and size], the area of the two triangles are really just the base times the height because ½bh + ½bh = bh.
So 3 × 5 = 15 in.
The area of the rectangle shown is its length times it's width which is 15 × 8 = 120in.
Now just subtract the area of the rectangle from the area of the triangles that are taking up the area:
Therefore,
Area of the rectangle – Area of the triangles = shaded area
120in – 15in = 105in = shaded area.
Huong is organizing paperback and hardback books for her club’s used book sale. The number of paperbacks is 12 less than three times the number of hardbacks. Huong had 162 paperbacks. How many hardback books were there?
Answer:
There were 58 hardback books there.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of paperback books.
y is the number of hardback books.
The number of paperbacks is 12 less than three times the number of hardbacks.
This means that:
[tex]x = 3y - 12[/tex]
Huong had 162 paperbacks.
This means that [tex]x = 162[/tex]
How many hardback books were there?
We want to find y.
So, using the value of x, and the first equation, we have that:
[tex]x = 3y - 12[/tex]
[tex]3y = x + 12[/tex]
[tex]3y = 162 + 12[/tex]
[tex]3y = 174[/tex]
[tex]y = \frac{174}{3}[/tex]
[tex]y = 58[/tex]
There were 58 hardback books there.
Please solve
Consider the congruence ≡8 (mod 847)
ax ≡ 8 (mod 847).
Choose a value for such that (,847)=1. Then solve the congruence
I want a to be 10, a =10
Answer:
56
Step-by-step explanation:
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 8.0 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 250 engines and the mean pressure was 8.1 pounds/square inch. Assume the variance is known to be 1.00. A level of significance of 0.01 will be used. Make a decision to reject or fail to reject the null hypothesis. Make a decision
Answer:
The calculated value z= 0.0063 does not fall in the critical region so we fail to reject the null hypothesis. And accept that the valve does not perform above the specifications.
Step-by-step explanation:
Given that
Population mean= μ = 8.0
Sample mean= x`= 8.1
Sample size= n= 250
Sample standard deviation= s= 1.00
Significance level= ∝ =0.01
The null hypothesis and alternate hypothesis are
H0: μ < 8.0
Ha: μ ≥ 8.0 One tailed test
The claim is that the valve perform above the specifications
The critical value at 0.01 significance level for one tailed test is z > ±2.33
The test statistic z is used
z= x`- μ/ σ/√n
Z= 8.1-8.0/ 1/√250
z= 0.1/1/15.811
z= 0.0063
The calculated value z= 0.0063 does not fall in the critical region so we fail to reject the null hypothesis.
What is the expected value for the binomial distribution below
Answer: 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Acellus
Please help i would really appreciate it :) if not have a good day !
Answer:
10
Step-by-step explanation:
Let us find the exact number of donors of gold and bronze respectively given there are 40 in total.
Gold: 45% of 40 = 45/100 *40 = 18 donors
Bronze: 20% of 40 = 20/100 *40 = 8 donors
18 donors - 8 donors = 10 more donors
I hope this helps! :)
The base of a house has area 110 m². One night 12 mm of rain falls on the roof. All of the water goes into a tank which has base diameter 4 m.
a Find the volume of water which fell on the roof.
b. How many KL of water entered the tank?
c. By how much did the water level in the tank rise?
Answer:
a. 1.32 m³
b. 1.32 kL
c. 105.04 m
Step-by-step explanation:
Area of roof = 110 m²
Rain fall = 12mm = (12/1000)m = 0.012 m
(a) Volume of water that fell on roof = Area of roof × Rain depth
= 110 × 0.012
= 1.32 m³
(b) 1 m³ = 1 kL
∴ 1.32 m³ = 1.32 kL
(c) Radius of tank = (4/2) = 2 m
Volume of tank = Base area × Height
= πr²h
= π × (2)² × h
= 4πh
The volume added to the tank must be equal to the volume which falls on roof.
i.e. Volume of tank = Volume of water that fell on roof
or, 4πh = 1.32
or, h = 1.32 / (4π)
∴ h = 0.10504 m = (0.10504/100)cm = 10.504 cm
∴ The water level rises by about 10.504 cm.
Which is an arithmetic sequence with a common difference of 4?
o 2, 8, 32, 128, 512,
o 4, 6, 8, 10, 12,
o 4, 8, 16, 32, 64,
o 5,9,13, 17, 21,