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1. Does the relationship between number of people and the bill appear to be weak, moderate or strong?


2. Does the relationship between number of people and the bill appear to be linear?


3. The equation of the line of best fit is Bill = 5.80 + 11.15 · People. (y=5.80+11.15x) Sketch this line on the scatterplot.


4. Interpret the slope of the line of best fit in the context of this problem.


5. Note that the points in the scatterplot do not all lie on the line. What could explain this variability?


6. Use the equation of the line of best fit to estimate how much would you predict the bill to be for a party of 8?


7. There was one party of 8 whose bill was $82.50. Did they pay more than or less than the predicted amount? How much more or how much less did they pay?

Find the slope:

(-19 - 11) / (-8 - 2) = (-30/-10) = 3

Find the y intercept:

y = mx + b

11 = 3(2) + b

b= 5

So equation is:

y = 3x + 5

Using it's concept, it is found that:

In this problem, the mean of the data-set is given by:

M = (4.6 + 8.5 + 7.2 + 6.6 + 5.1 + 6.2 + 8.1 + 10.3)/8 = 7.075.

Hence, the mean absolute deviation is given by:

MAD = (|4.6-7.075| + |8.5-7.075| + |7.2-7.075| + |6.6-7.075| + |5.1-7.075| + |6.2-7.075| + |8.1-7.075| + |10.3-7.075|)/8 = 1.45

Then:

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Step-by-step explanation:

x + 5 = 3x -12 + 5

x + 5 = 3x - 7

Subtract 5 from both sides....

x + 5-5 = 3x -7 - 5

x = 3x - 12

Change the sign ...

12 = 3x - x

12 = 2x

12/2 = x

x = 6

hence 6 is the answer.......

[tex]\large\textsf{\textbf{Answer\::}}[/tex]

x=6

[tex]\large\textsf{\textbf{Calculations\::}}[/tex]

First , use the Distributive Property :

x+5=3(x-4)+5

x+5=3x-12+5

x+5=3x-7

subtract 3x on both sides :

x-3x+5=-7

-2x+5=-7

Subtract 5 on both sides :

-2x=-7-5

-2x=-12

divide by -2 on both sides :

x=6

We've found the value of x : x = 6 .

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer:

The scale factor is 5 because the increase in each side of the shape is *5

To determine the lower price, the formula should use a z-value that is less than -1.

We are given;

Mean; x' = $6.32

Standard deviation; s = $0.47

A positive z-score indicates the raw score is higher than the mean average while a negative z-score indicates the raw score is below the mean average.

Now, we want to find out the lower price from the definition above, we have to use a negative z-score which in this case will be -1.

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Answer:

17/18pi or 2.97

Step-by-step explanation:

170 degrees to radian

170 * pi / 180 degrees

so, 170pi/180

17/18pi or 2.97

Answer:

90%

Step-by-step explanation:

Do 72/80 to find the decimal

72/80=0.9

Then to convert decimal to percent move the decimal point two times to the right.

0.9=90%

(3/5) × 30 = 3 × 6 = 18 days it won't rain

30 - 18 = 12 days it will rain

hope it helps...!!!

Answer: The median is 96

Step-by-step explanation:

Answer:

27 degress; complementary

Step-by-step explanation:

complementary is when is adds up to 90 and you need 27 more degrees to make it 90

Answer:27 degrees

Step-by-step explanation:

just need points

Ok then im doing the 3rd one:

Area of a parallelogram =b.h

[tex]11 \frac{3}{4} \times 8 \frac{1}{3} \\ = 11.75 \times 8.33 \\ = 97.8775 \\ = \boxed {97.9}[/tex]

Answer:

The two integers should be 3 and 1

Answer:

[tex]y = 3x - 27[/tex]

Step-by-step explanation:

[tex]y - y0 = m(x - x0) \\ y - ( - 9) = 3(x - 6) \\ y + 9 = 3x - 18 \\ y = 3x - 27[/tex]

It diverges

Step-by-step explanation:

it is an alternating sequence hence it will diverge

The value of   [tex]\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)[/tex]  in terms of s will be

[tex]\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)[/tex]

A quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Here we have the expression:-

[tex]\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)[/tex]

So in terms of s the expression will become:-

[tex]\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)[/tex]

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Answer:

c/6 or c divided by 6

Step-by-step explanation:

Answer:

the no. are -10 and -24

when we add -10 with -24 we get -34

Answer:

See below ~

Step-by-step explanation:

This is a combination because the order in which the players are selected is not important.

Number of ways

Apply combination

[tex]\\ \rm\Rrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So

[tex]\\ \rm\Rrightarrow ^{14}C_3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14!}{3!(14-3)!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11!)}{3!11!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11)}{6}[/tex]

[tex]\\ \rm\Rrightarrow 14(13)(2)(11)[/tex]

[tex]\\ \rm\Rrightarrow 4004[/tex]

We are given that, a computer can sort x objects in t seconds, and the below relations is satisfied for each x and t

For 12 objects, we can substitute x = 12

⇒ t = (3/1000) (12)² + (1/1000) 12

⇒ t = (12/1000) (3 × 12 + 1)

⇒ t = (12×37/1000)

⇒ t = 444/1000

⇒ t = 0.444

⇒ t ≈ 0.40 seconds (2 dp)

When x = 1:

1³ + 1 - 3 = -1

When x = 2:

2³ + 2 - 3 = 7

Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).

The square pyramid with a base with edges of 6 inches and slant height of 4 inches have a surface area of 84 in².

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

The square pyramid with a base with edges of 6 inches and slant height of 4 inches. Hence:

Surface area = (6 * 6) + 2(6 * 4) = 84 in²

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

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Answer:

Step-by-step explanation:

Using a system of equations, it is found that each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content, hence:

39x + 42y = 7869

Then:

[tex]y = \frac{7869 - 39x}{42}[/tex]

This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes, hence:

14x + 41y = 6117.

Since [tex]y = \frac{7869 - 39x}{42}[/tex]:

[tex]14x + 41\frac{7869 - 39x}{42} = 6117[/tex]

14x - 38.07x = -1564.64.

x = 1564.64/24.07

x = 65.

[tex]y = \frac{7869 - 39 \times 65}{42} = 127[/tex]

Hence, each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

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Answer:

24 ways

Step-by-step explanation:

By the Fundamental Counting Principle,

Number of permutations = 4 ⋅ 3 ⋅ 2 ⋅ 1

= 4!

= 24

There are 24 different ways the teacher can order the student presentations.

Answer:

≈2825

Step-by-step explanation:

28250*10%≈2825

Pay attention to the ≈ sign