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

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

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.

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Related Questions


Choose the algebraic description that maps AABC onto AA'B'C'in the given figure.
A) (x, y) - (x + 6, Y)
B) (x, y) - (x, y - 6)
OC) (x, y) - (x-6, y).
D) (x, y) - (x, y + 6)

Answers

9514 1404 393

Answer:

  C)  (x, y) ⇒ (x -6, y)

Step-by-step explanation:

Each image point is 6 units left of the corresponding pre-image point. That is, its x-coordinate is reduced by 6. The appropriate choice is shown below.

AE = 3x - 2 and EC = 2x + 3 then DB =

#5

Answers

Answer:

DB = 26

Step-by-step explanation:

Remember:

AE ≅ ECAC ≅ DB

☆The equation in finding the value of x would be 3x - 2 = 2x + 3.

☆Let's solve the equation.

[tex] \: \: \: \: \: \: \: \: \: 3x - 2 = 2x + 3 \\ \frac{ - 2x \: \: \: \ = - 2x}{x - 2 = 3} \\ \frac{ \: \: \: \: \: + 2 = + 2}{x = 5} [/tex]

☆Now that we found the value of x, we are going to plug in for AE and EC.

[tex]AE ; \\ 3x - 2 \\ 3(5) - 2 \\ 15 - 2 \\ 13 \\ \\ \\ \\ and \\ \\ \\ \\ \\ EC; \\ 2x + 3 \\ 2(5) + 3 \\ 10 + 3 \\ 13[/tex]

☆AE and EC each measure 13. To find the length of AC, you will have to add AE and EC. [tex]13 + 13 = 26[/tex]

The length of AC is 26. And since we know that AC is congruent (equal) to DB, meaning they measure the same. DB length is also 26.

Quadrilateral ABCD is graphed on the coordinate plane below. Reflect quadrilateral ABCD across the x-axis.

Answers

Answer:

b

Step-by-step explanation:

h4byvtvt3v3tv3yv3v3tg3tv3tv

How much do 15 DVDs cost at the store with the lowest unit price?


Bernie's Bargains 6 DVDs for $56.70

Greg's Giveaways 10 DVDs for $99.70

Stan's Steals 8 DVDs for $79.68

Answers

Answer:

Total cost= $141.75

Step-by-step explanation:

Giving the following information:

Bernie's Bargains 6 DVDs for $56.70

Greg's Giveaways 10 DVDs for $99.70

Stan's Steals 8 DVDs for $79.68

First, we need to determine the unitary price of each and choose the lowest one:

Bernie= 56.7/6= $9.45

Greg= 99.7/10= $9.7

Stan= 79.68/8= $9.96

The lowest price is $9.45.

Now, the total cost of 15 DVDs:

Total cost= 9.45*15

Total cost= $141.75

Answer:

149.25

Step-by-step explanation:

the equation y = 73x + 146.53, where x represents the number of traffic tickets and y represents the cost of car insurance, determine the cost of car insurance if you had 9 tickets.

Answers

Answer:

803.53

Step-by-step explanation:

Cost of car insurance = 73 traffic tickets + 146.53

y = (73 × 9) + 146.53

y = 657 + 146.53

y = 803.53

Car insurance costs 803.53

What is the exact value that is 43% of 2302?

Answers

Answer: 873.76

First find 1% of 2302 which will be 2302/100=23.02

to find 43% of 2302 multiply 1% of 2302 with 43

43*23.02 = 873.76

Each diagram is made of smaller, identical pieces. Tell how many pieces you would shade to model 25%

Answers

Answer:

12 pieces

Step-by-step explanation:

5) Dan and Joan were able to clean the attic in 7 hours together, It takes
Joan 9 hours to complete the same job alone. Without help, how long
would it take Dan to complete the same job?

Answers

Answer:

9 hours im not really good at this but i hope i did my best ^.^ :)

It would take 31.5 hours for Dan to complete the same job.

What is work and time relationship?

Work is the effort applied to produce a deliverable or accomplish a task. A certain amount of time (T) is taken to complete a certain work (W).

Work Done = Time Taken × Rate of Work.

Rate of Work = 1 / Time Taken.

Time Taken = 1 / Rate of Work.

According to the question

Dan and Joan were able to clean the attic in 7 hours together

i.e

Rate of Dan = D

Rate of Joan = J

now,

Rate of Work = 1 / Time Taken.

D + J = [tex]\frac{1}{7}[/tex]

It takes Joan 9 hours to complete the same job alone

i.e

J = [tex]\frac{1}{9}[/tex]

Rate of Dan :

D + J = [tex]\frac{1}{7}[/tex]

D +  [tex]\frac{1}{9}[/tex] =  [tex]\frac{1}{7}[/tex]

D =   [tex]\frac{1}{7}[/tex] -  [tex]\frac{1}{9}[/tex]

D = [tex]\frac{2}{63}[/tex]

Therefore , Time taken by Dan  to complete the same job

As,

Time Taken = 1 / Rate of Work.  

Time taken by Dan = [tex]\frac{63}{2}[/tex]

                                 = 31.5 hr

Hence,  It would take 31.5 hours for Dan to complete the same job.

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Determine the value of to the nearest tenth.
0
26

Answers

Answer:

0.3

Step-by-step explanation:

0.26?

0.3

Help! It’s due it’s due in 30 minutes

Answers

the area would be
36+18+18+4+4+4+4=16+72=88

Answer:

Contains two 6x6 triangles, contains one 12x3 rectangle, four 2x2 triangles, and two 2x2 squares.

88

Step-by-step explanation:

You only need the area of one side of this shape to find the total area.

((6*6)/2+(3*6)+(2*2)+(2*2))2 = 88. What's inside the parenthesis is the area for one side of the shape, then you can multiply that by two to get the entire area.

c)
How many quarters make a whole?
d) How many fifths make a whole?
e) How many tenths make a whole?
nta Excel in Mathematics - Book 3
108​

Answers

Answer:

4 quarters

10 tenths

Step-by-step explanation:

Tenths

[tex] \frac{1}{10} [/tex]

Quarter

[tex] \frac{1}{4} [/tex]

Whole

[tex] 1 [/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex] 1 = \frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4} [/tex]

∴ There are 4 quarters to make a whole

[tex] 1 = \frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10} [/tex]

∴ There are 10 tenths to make a whole

15% of the skittles in andys bag are green. how many skittles are in the bag if 9 of them are green

Answers

Answer:

60

Step-by-step explanation:

9/15=0.6

0.6x100=60

Marco buys shampoo from a supplier at $7.25 per bottle.
He marksup the shampoo 20%.
What is the price after markup?

Answers

Answer:

7.45

Step-by-step explanation:

dont ask me to explain cuz I wont have a nice day

Answer:

The answer is $1.25

Step-by-step explanation:

hope this helped

CHECK YOUR UNDERSTANDING

The Wacky Widget Company sells widgets for

$4.00 each wholesale. A local store has a

markup of $1.20.

A. What is the retail price?

B. What percent is the markup price?

Answers

Answer:

Retail price = $5.20

Percentage of mark up price = 30%

Step-by-step explanation:

Company sells $4.00 each wholesale.

Now the local store which is the retailer has a markup of $1.20.

This means that the retail price is;

Retail price = wholesale price + mark up = $4.00 + $1.20

Retail price = $5.20

To find the percentage of the markup, it is the fraction of the wholesale price multiplied by 100%.

Thus;

Percentage of Markup is;

1.2/4 × 100% = 30%

goran spent $38 on fruit at the grocey store.He spent a total of 40$ at the store.what percentage of the total he spend of the fruit

Answers

The answer should be 95% I hope this helps :)

Please help me answer this will give brainlst

Answers

Answer:

17° and 73°

Step-by-step explanation:

For two complementary angles, the sum of angles is equal to 90 degrees.

Let other angles = x

First angle = 5+4x ...(1)

ATQ,

5+4x+x=90 ...(2)

Equation (1) and (2) shows the equations for the given problems.

5+5x=90

5x = 85

x = 17°

Other angle = 17

First angle = 5+4x

= 5+4(17)

= 73°

So, the other two angles are 17° and 73° respectively.

Find the length of dm in the given fig.​

Answers

Answer:

[tex]DM=12[/tex]

Step-by-step explanation:

(Let the point where the altitude from [tex]D[/tex] intersects [tex]AB[/tex] be called as point [tex]E[/tex].) First, let's find the area of parallelogram [tex]ABCD[/tex]. The area of a parallelogram is simply [tex]b*h=bh[/tex], where [tex]b[/tex] is the parallelogram's base and [tex]h[/tex] is the parallelogram's height. If we let [tex]AB[/tex] and [tex]DE[/tex] be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram [tex]ABCD[/tex] will be [tex]AB*DE=15*8=120[/tex].

Now, how does this information matter, you might ask? Well, we can take either [tex]AB[/tex] or [tex]CB[/tex] to be the base and either [tex]DE[/tex] or [tex]DM[/tex] to be the height. In this case, let's take the latter two options, as we are looking to find the length of [tex]DM[/tex].

Therefore, we know that the area of parallelogram [tex]ABCD[/tex] can also be found by calculating [tex]CB*DM[/tex]. Since we know the values of the area and [tex]CB[/tex], we can write the following equation to solve for [tex]DM[/tex]:

[tex]Area = CB*DM[/tex]

[tex]120=10*DM[/tex] (Substitute [tex]Area=120[/tex] and [tex]CB=10[/tex] into the equation)

[tex]\frac{120}{10}=\frac{10*DM}{10}[/tex] (Divide both sides of the equation by [tex]10[/tex] to get rid of [tex]DM[/tex]'s coefficient)

[tex]12=DM[/tex] (Simplify)

[tex]DM=12[/tex] (Symmetric Property of Equality)

Hope this helps!

what is the coefficient of xy^2
in the expansion of (x+y)^3?

Answers

Step-by-step explanation:

Using Binomial Expansion,

(x + y)³

= 3C0 * x³ + 3C1 * x²y + 3C2 * xy² + 3C3 * y³.

Therefore the coefficient of xy² is 3C2 = 3.

Answer:

The coefficient of the xy² term is 3.

For your question about xy⁵, the coefficient is 6

And for the x²y² question, it is also 6

Step-by-step explanation:

We can simply expand the expression to find the answer:

(x + y)³

= (x + y)(x + y)(x + y)

= (x + y)(x² + 2xy + y²)

= x³ + 2x²y + xy² + x²y + 2xy² + y³

= x³ + 3x²y + 3xy² + y³

So the term term containing xy² has a coefficient of 3

Now, there's actually a simple way to do this, and that's using Pascal's triangle.  If you're not familiar with it, here's a quick representation of the first few lines:

0                                    1

1                                  1     1

2                              1     2     1

3                           1     3     3     1

4                       1      4     6     4     1

5                    1      5    10    10    5    1

6                1      6     15   20   15    6    1

7             1      7     21   35   35   21   7    1

8         1      8     28   56  70   56   28  8   1

You'll notice that each number is simply the sum of the two numbers above it; below 4 and 6 wes see 10, below 20 and 15 is 35, etc.

This is very useful in this case, as the you may notice that the solution to each of the questions asked can be answered by this triangle.  For instance, when we solved (x + y)³, the coefficients of the terms were  1, 3, 3, and 1.  For a perfect square, it's 1, 2 and 1, and so on.  So to get the answers to your questions, you need only look at this triangle.

For example, want the the coefficent of the fourth term in the expansion of (x + y)⁷, it's easy, just look at the seventh row, and look for the fourth number, which would be 35.

But as we're given the x and y powers, but not the position of the term, we need to work that out as well.  Thankfully there's an easy trick to that.  The exponents will always be like this

[tex]x^{n}y^0 + x^{n - 1}y^1 + x^{n - 2}y^2 + ..... + x^2y^{n - 2} + x^1y^{n - 1} + x^0y^{n}[/tex]

where n is the number we're raising the binomial to.

We could put together an equation to solve this, but instead of going through a whole lesson, I'll just update the answer at the top.

You can buy five cans for green beans at the village market for $2.20 you can buy 10 of the same cans of beans at Sam’s Club for $5.30 which place is better

Answers

Answer:

The village market is better than Sam's Club

Step-by-step explanation:

If you buy 5 more cans of green beans at the village, it will cost $4.40 in total. Therefore if you go buy the beans at Sam's club, the village one will be cheaper.

I GIVEEEEEEEEEE BRAINLISTT

Answers

Answer:

D: 50% on car payment and college savings

Step-by-step explanation:

225+375 = 600

50% of 1200 is 600

If your gross monthly income will be $3,750, you need to determine the net pay for your monthly budget. Your monthly net pay is

Answers

Answer:

$2,989.12

Step-by-step explanation:

The correct answer to the given question is $2,989.12. The monthly net pay is $2,989.12, when the gross monthly income is $3,750.

The deduction from the gross income is almost 20.29%.

The gross income is multiplied by 20.29% and then the answer is deducted from the gross income which gives monthly net pay as a result

$3,750 * 20.29% = $760.875

$3,750 - $760.875 = $2,989.12

Your monthly net pay is $2,989.12

Jennifer uses a coupon that gives you 20% off your order. If the total was $18 before the discount, then how much money did she save?

Answers

She would have saved $3.60

translate to words : 5(x+3)-6+7x​

Answers

5x+15-6+7x
15-6= 9.
5=7= 12
12x+9 .

Answer:

five time in parenthesis x plus three close parenthesis minus six plus seven x

Step-by-step explanation:

five time in parenthesis x plus three close parenthesis minus six plus seven x


I NEED HELLPPPPPPPP

Answers

Answer:

51 people

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

190 out of 300 is from England

100 out of 100×190/300 is from England

=63% (approximately)

according to the question

63%×80

63/100 × 80

51(approximately)

Add 2/7 + 3/7?
[tex]2 \7 + 3 \7[/tex]

Answers

5/7
I hope that’s what your looking for

Can someone help me out pls?

Answers

Answer:

58 degrees

Step-by-step explanation:

sally is taking a test
when she got her score it was 85% of 100% how many questions was on the test and how many did she get wrong

Answers

Answer:

There was 20 questions on the test.

She got 3 wrong.

Step-by-step explanation:

[tex]\frac{85}{100} = \frac{17}{20}[/tex]

20 - 17 = 3

There was 20 questions on the test.

She got 3 wrong.

Answer: There were 20 questions and she missed three.

First of all, you need to simplify 85/100.

85/100 / 5/5 = 17/20.

Now that you know how many questions were on the test, subtract 17 from 20.

20 - 17 = 3

So in conclusion, the test had 20 questions and she missed three.

But this question doesn’t have enough info to be honest, if you multiply 17/20 with any number it’s still going to be 85%.

Samantha spent 1/6 of her money on candy and 3/4 of her money on a movie ticket. What fraction of Samantha's money has been spent?

Answers

Answer:

11/12

Step-by-step explanation:

In 2009, two tickets to a certain American band's concert and two tickets to a certain British band's concert cost, on average, a total of $592. At those prices, four tickets to see this
American band and two tickets to see this British pand cost $842. What was the average cost of these American and British band tickets in 2009?
American band $
British band$

Answers

I believe you would divide

Two snow resorts offer private lessons to their customers. Big time ski mountain charges $5 per hour plus $50 insurance. Powder hill charges $10 per hour plus $30 insurance. For what number of hours is the cost of the lessons the same for each resort?

Answers

Answer:

4 hours

Step-by-step explanation

4 times 5+20

50+20+70

10 times 4 +40

30+40+70

Other Questions
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