Make a scatter plot of the data below.
Speed (mph)
Stopping distance (ft)
10
12.5
20
36.0
30
69.5
40
114.0
50
169.5
60
249.0
70
325.5

Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest hundredths place.
a.
y = 0.06 x squared + 0.31 x + 4
b.
y = negative 4.03 x squared + 0.32 x + 8.19
c.
y = 0.06 x squared minus 0.31 x minus 4
d.
y = 4.03 x squared minus 0.32 x minus 8.19

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

By using the quadratic regression feature of a graphing calculator a quadratic model would be [tex]y = 0.06 x^2 + 0.31 x + 4[/tex]

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Speed (mph)           Stopping distance (ft)

10                                12.5

20                               36.0

30                               69.5

40                               114.0

50                               169.5

60                               249.0

70                               325.5

Use the quadratic regression feature of a graphing calculator to find a quadratic model.

From the above data, we get

[tex]y = 0.06 x^2 + 0.31 x + 4[/tex]

Learn more about quadratic equations;

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Related Questions

Joaquin gets paid every Friday. His paychecks for the past 8 fridays were $324, $245.25, $245.25, $245.25, $324,$324,$245.25 and $402.75 find the median

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Answer:

284.625

Step-by-step explanation:

Arrange the numbers highest to lowest.

Find the middle value in the arrangement.

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Answer:

8

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4+4=8

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Hey I have tests tmrw that determine wether or not i can go to highschool and ive been struggling with my classes do yall know any websites that provide sample tests and such

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Khan Academy, which is free, is a great website with practice (and tests along the way)! It has every subject imaginable! If you are willing to pay, try IXL for Math (and English).

Honestly, just search on the internet the subject you need and you’ll find a lot of stuff.

I hope you do well!

Answer:

Umm, it test to go into high school is pretty simple

Step-by-step explanation:

Just go with your gut, because its very simple, believe in your self and don't double guess yourself! I believe in you, and Good Luck!

Ps. here is a amazing math solver that solves most of your math problems

https://www.symbolab.com/solver/step-by-step/42%20%2B%207x%20-%5Cleft(2x%20-38%5Cright)%3D0

Choose the ratio in simplest form. 8:2

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Answer:

4:1

Step-by-step explanation:

A line passes through the point (6,-4) and has a slope of 3/2 I Write an equation in point-slope form for this line.​

Answers

Answer:

y-4=3/2(x+4)

Step-by-step explanation:

If you plug the numbers into the equation (y-y1=m(x-x1)), you get y-4=3/2(x+4).

HOPE THIS HELPS

Two sets of parallel lines intersect as shown. Given ∠2 = 130° what is ∠9?

Answers

Answer:

50 degrees. The angle is the opposite of angle 9, making it 180-130=50.

Express the quantity "14 revolutions per second" in radians per second. Write your
answers in terms of a
A. 28n rad/sec
C. 18n rad/sec
B. 52n rad/sec
D. 32n rad/sec

Answers

[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]

A).28n rad/sec

A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent. After instituting a check-verification system to reduce its losses, the service found that only 45 checks out of a random sample of 1124 were fraudulent. Does this sample provide sufficient evidence at the .01 significance level that the check verification system is effective

Answers

Answer:

Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.

Step-by-step explanation:

A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.05[/tex]

Test if the check verification system is effective:

If it is effective, the proportion will decrease, so we are going to test if after the change the proportion is lower than 0.05, that is:

[tex]H_{a}: p < 0.05[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that

[tex]\mu = 0.05[/tex]

[tex]\sigma = \sqrt{0.05*0.95}[/tex]

After instituting a check-verification system to reduce its losses, the service found that only 45 checks out of a random sample of 1124 were fraudulent.

This means that [tex]n = 1124, X = \frac{45}{1124} = 0.04[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{1124}}}[/tex]

[tex]z = -1.54[/tex]

Pvalue of the test and decision:

Probability of finding a sample proportion lower than 0.04, which is the pvalue of z = -1.54.

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what is the approximate length of hypotenuse with a 35 degree angle and one leg is 12

Answers

Answer:

37

Step-by-step explanation:

35^2+12^2=37

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One of the ordered pairs must be Y Intercept.

Points to the person who explains step by step, start to finish. Please note the correct set of ordered pairs is not random x to get y, or random y to get x variables. I tried that already and it was marked wrong.​

Answers

Answer:

(0,-4)

(3,0)

Step-by-step explanation:

Let start at the orgin.

This is a linear equation since the equation is in the form of

[tex]y = mx + b[/tex]

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Since we starting at the orgin, and b is our y intercept.

Our first point is

(0,-4).

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In other words, to find your second point, go up 4 units from the first point and move to the right 3 units.

So our next point is at

(3,0).

U can continously go up 4 units and move 3 units to the right to find other points.

The measures of two complementary angles are in the ratio 7:3. What is the measure of the smaller angle?

Answers

The measure of the smaller angle is 27 degrees.

35=11x. i need help

Answers

Answer:

x= 35/11

Step-by-step explanation:

steps

35 = 11x

swich sides

11x = 35

Divide both sides by 11

11x/11 = 35/11

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The answer is -2,2,3,4

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Answer:

Varies

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What this question is asking you to do is to measure the angle of the blue dot and find the 90 degree angle, so you need to get a protractor and measure the 90 degree angle in order to get the answer

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Step-by-step explanation:

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Answer:

11+13

Step-by-step explanation:

because of math boom

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Answers

Answer:

So its hard to tell if you want the answer to the SA of 4mm x 4mm x 4mm or the image but I did the mm one.

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Answers

check the photos they have the answer

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What is 73 as a decimal? answer: .73

Answer

Step-by-step explanation:

Your answer
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71

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Answer:

-7

Step-by-step explanation:

-9(x+3)=36

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Answers

Answer:

Step-by-step explanation:

You see that there’re angles with 30 and 90 degrees that means that -> 180-(90+30)=60 (measurement of the third angle)

Here you’ll need to use the 30,60,90 degree triangle rule:

The opposite side of 30 degree will be y

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60->y√3->x => 6√3x√3=6x3=18

To understand the rule better you can check the picture below.Wish it will help you!Good luck!

5. Which of the following sets of fractions is arranged in order from LEAST to GREATEST?
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이 를

Answers

Answer:

[tex]\{\frac{1}{8},\frac{1}{4},\frac{1}{2}\}[/tex]

Step-by-step explanation:

Required

Which is ordered in ascending order

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[tex]\{\frac{1}{8},\frac{1}{4},\frac{1}{2}\}[/tex]

Convert to decimals

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By comparison:

[tex]0.125< 0.25< 0.5[/tex]

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Sure, what do you need help with?

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Answers

the slope is 1

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Answer:

7:58

Step-by-step explanation:

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Test Pythagorean Theorem
> Chemistry: Periodic Table of Elen
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learning.k12.com/d21/le/enhancedSequenceViewer/1425828?url=https%3A%2F%2Fe0271165-1353.40b6-af9b-349f7ff846bd.sequences.api.brightspace.com%2F14... ☆
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Unit Test: Pythagorean Theorem
UNIT TEST:
Pythagorean Theorem
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ABCD is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters.
What is the length of the other leg?
Enter your answer, as a decimal rounded to the nearest tenth, in the box

Answers

Answer:

11.31 cm

Step-by-step explanation:

you got the k12 link to

plus you wanna get on my animal crossing island

the dodo code is 98GVY

Which of the following are ordered pairs for the equation y = 1/2x + 2?

Answers

Answer:

Some ordered pairs could be (0,2) and (2,3).

Step-by-step explanation:

Hope this helps!!

Solve this system of equations by substitution.
y = 4x

2x + y = 6

Answers

blah blah blah multiply input divide
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A rectangular garden measures 26ft by 37ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answer.

Answers

With the 2 ft extra border the garden measure 28x39 = 1092
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1092-962 = 130

The area of this path is 130 squared feet

Exercise 11.1.2: Find the next permutation in lexicographic order. About For each permutation of {1, 2, 3, 4, 5, 6, 7}, give the next largest permutation or indicate that the permutation is the last one in lexicographic order. (a) (1, 2, 3, 4, 5, 6, 7) (b) (7, 6, 5, 4, 3, 2, 1) (c) (1, 7, 6, 4, 2, 3, 5) (d) (3, 7, 6, 5, 4, 2, 1) (e) (5, 4, 7, 6, 3, 2, 1)

Answers

Solution :

A permutation in the field of mathematics may be defined as the arrangement of its members into a linear order or a sequence. However, if a set is already being ordered, then it is the rearrangement of the elements of the set.

In the context, the next largest permutation set is :

a). (1,2,3,4,5,6,7)

b). The given permutation is the last one in the lexicographic order.

c). (1,7,6,4,2,5,3)

d). (4,1,2,3,5,6,7)

e). (5,6,7,4,3,2,1)

The next permutation in lexicographic order will be (5,6,7,4,3,2,1).  

What is a permutation?

It should be noted that a permutation in the field of mathematics where there are several possible ways in which numbers or things can be ordered or arranged.

When applied to numbers, the lexicographic order is increasing numerical order. This is an increasing numerical order from left to right). For example, the permutations of {1,2,3} in lexicographic order are 123, 132, 213, 231, 312, and 321

In the context, the next largest permutation set is (5,6,7,4,3,2,1).

Learn more about permutations on:

https://brainly.com/question/1216161

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