The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.

Answers:

If x is a probability value, then [tex]0 \le x \le 1[/tex]

A probability of 0 means "impossible" while a probability of 1 means "100% certain".

Answer:

3k

Step-by-step explanation:

The number 2 should be added to both sides of the given linear

equation to enable the variable x be made the subject of the equation.

Response:

The given equation is presented as follows;

[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]

The solution of the above equation van be found by making x the

subject of the equation.

Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]

, from which the value of x can be found by multiplying by 11.

First operation;

To remove the 2, we have;

[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]

[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]

[tex]\dfrac{x}{11} = 5[/tex]

Second operation;

[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]

x = 55

The first operation that needs to be needed to solve the given equation

is therefore;

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Answer: It would be addition

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Answer:

x=6;y=9

Step-by-step explanation:

First you try to find y in the second equation --> y/12=3/4

You divide 12 by 4 to see how many times y/12's denominator and numerator is bigger. 12/4 is 3, so to find y you multiply 3*3. so 9/12=3/4. To check this, you multiply 3 on each side of the fraction -->

3*3=9  4*3=12.

Then, you can just put y into the first equation, which is x/y=2/3. Pluck that in, and you get x/9=2/3. Do the same thing you did in the first step, and you should get 6/9=2/3. Hope this helped :)

Answer:

x=6; y=9

Step-by-step explanation:

Answer:

x=1 y=3

Step-by-step explanation

After translate the sentence into equation, the equation is,

⇒ 8b - 9 = 7

Where, b is any number.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The algebraic expression is,

⇒ Nine less than the product of 8 and a number is 7.

Now, Let a number = b

So, We can formulate the mathematical expression as;

⇒ 8 × b - 9 = 7

⇒ 8b - 9 = 7

Thus, The equation is,

⇒ 8b - 9 = 7

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Answer:

Amount of cd after 3 years=2240

Step-by-step explanation:

principal==$2000

simple interest=4%

interest /year =80

for 3 years =80 x 3 = 240

Step-by-step explanation:

[tex] ({2}^{ - 1} )^{3} [/tex]

[tex] {2}^{ - 3} [/tex]

........

Answer:

2^-3

Step-by-step explanation:

When multiplying two exponents with the same base, we basically add the exponents.

Answer:

80°, 40° and 60°

Step-by-step explanation:

Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)

so we will have an equation of

180°=2x + x + (20°+x)

160°=4x

40°=x

so the second angle is 40° as it is represented by just one X

therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!

A,C,D

(going top left to bottom right)

(a) b

(c) (d)

e f

Answer:

15l

Step-by-step explanation:

There are 5 8sq m in 40sq m

total paint is 5*3=15

Answer:

x=5, y=18

Step-by-step explanation:

y=2x+8

x= (y-8)/2

Substitute in second equation,

y= 4((y-8)/2) -2

y= 2(y-8)-2

y= 2y-16-2

16+2=2y-y

18=y

Replace y value in first equation to find x,

18= 2x+8

18-8=2x

10=2x

5=x

Answer:

are you beginer band

Answer:

35

Step-by-step explanation:

because the straight line is 180 so if you add 35+55=90 and 90+90=180

Answer:

35°

Step-by-step explanation:

What I did was look at ∠ABC and know that collinear is a straight line, and that a straight line is equal to 180°. Then I saw that ∠ABD was a right angle or 90° and that ∠BCE was equal to 55°, so I added those 2 together and got 145°. then I subtracted that from the 180°. because that is what a straight line equals and I got 35°. So, I would say ∠DBE is equal to 35°.

Answer:

Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%

Step-by-step explanation:

Binomial Distribution

Consider a random experience that has only two possible outcomes: Success or Failure. Let's call p to the probability that the event has a successful outcome and q to the failure outcome.

It follows that p+q=1, or q=1-p.

Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the Binomial Distribution formula:

[tex]\displaystyle P_{x} = {n \choose x}\cdot p^{x}\cdot q^{n-x}[/tex]

Where :

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations, calcula ted as follows:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

A planted seed has a 70% chance of growing into a healthy plant. The successful outcome has p=0.7 and q=0.3.

The experience is repeated n=8 times. We want to calculate the probability of having 4 failures (not growing seeds) or x=4 successes.

Apply the formula:

[tex]\displaystyle P_{4} = {8 \choose 4}\cdot 0.7^{4}\cdot 0.3^{8-4}[/tex]

[tex]\displaystyle P_{4} = 70\cdot 0.7^{4}\cdot 0.3^{4}[/tex]

[tex]\displaystyle P_{4} = 0.1361[/tex]

Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%

Answer:

14

Step-by-step explanation:

Answer:

Step-by-step explanation:

If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.

m COP  =  m TOD

Given

COP = 11x - 17

TOD = 9x + 11.

Substitute:

11x-17 = 9x+11

11x-9x = 11+17

2x = 28

x = 28/2

x = 14

Get <COD

<COP = 11(14)-17

<COP = 154-17

<COP = 137

<COD = 180-<COP

<COD = 180-137

<COD = 43°

Similarly:

<POT = 180 - <TOD

<POT = 180 - [9(14)+11]

<POT = 180 - 137

<POT = 43°

Answer:

Examine the chart and graph.

On the left is a 5-column table with 10 rows titled Religion in North America. The first column is titled Religion with entries Christianity, Unaffiliated, Judaism, Buddhism, Islam, Hinduism, Other Religions, Folk Regions, and Total. The second column is titled 2010 population with entries 266,630,000; 59,040,000; 6,040,000; 3,860,000; 3,480,000; 2,250,000; 2,200,000, 1,020,000; and 344,530,000. The third column is titled percent in 2010 with entries 77.4, 17.1, 1.8, 1.1, 1.0, 0.7, 0.6, 0.3, and 100.0. The fourth column is titled 2050 Projected Population with entries 286,710,000; 111,340,000; 5,920,000; 6,080,000; 10,350,000; 5,850,000; 6,540,000; 2,630,000; and 435,420,000. The fifth column is titled percent in 2050 with entries 65.8, 25.6, 1.4, 1.4, 2.4, 1.3, 1.5, 0.6, and 100.0. On the right is a pie chart titled Religions Practiced in Central America. Christianity is 95.86 percent, Agnostic 2.42 percent, Native Religions 0.99 percent, Atheism 0.15 percent, Spiritism 0.13 percent, and Other is 0.44 percent.

Which is the

Step-by-step explanation:

Answer:

The range of a function is the set of outputs the function can give

The y-axis on the graph shows as the output of the function

From the graph, we can see that the outputs of this specific function range from 0 to 5

Therefore, the range of this function is:   [0 , 5]

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a fraction is basically saying the numbers are being divided so if you do -20 divided by 2 then you would get negative 10 since a negative divided by a positive would be a negative.

Answer:

Positive

Step-by-step explanation:

A negative divided by a negative can cancel out to make a positive. So, [tex]\frac{-4}{-5} = \frac{4}{5}[/tex].

I hope this helps!

Answer:

i believe its positive because 2 negatives make a positive

Answer:

1

Step-by-step explanation:

since 1*1 will always be 1, 1 raised to any power will be 1.

Answer:

24

Step-by-step explanation:

13+11=24

Answer:

21 Months

Step-by-step explanation:

If he already has $225, we can do 750 - 225 to get 525. $525 represents how much more money he needs to reach his goal of $750. So we can do 525 divided by 25, since that is how much he makes per month, giving us 21. 21 is how many months it will take until he gets to $750 without spending anything.

Answer:

500 $

Step-by-step explanation:

[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]

[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]

[tex]\frac{21}{50}x=210\\[/tex]

[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]

x=500

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Red

Answer: 125/27 as a decimal 4.62963

Step-by-step explanation:

((32)(5−2))−2(3(5−1))

((32)(5−2))−2(3(5−1))