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LenaWriter [7]
3 years ago
5

Jordan plotted the graph below to show the relationship between the temperature of his city and the number of cups of hot chocol

ate he sold daily (shown in the picture)
Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept.

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

I would draw a line from (40,20) to (80,8)

Step-by-step explanation:(40,2) is an outlier, so I wont use that.  I am roughly estimating that it I were to draw line from those points, It would have about the same number of dots above and below the line which tells me it is a line of best fit. Slope would be about -3 every 10 temperature climb.

You might be interested in
Multiply 2×-5/7×-3/-8​
solniwko [45]

Hey Kat! :)

Glad to see you on Brainly.

Look below and watch how we solve this problem.

Ask any questions if you need it! I'll respond when you need it!

This is a bit of a hard, one. So please ask questions.

------

Please use the rule a/b x c/d = ac/bd while solving.

After using that equation, it should look like this:

2 x -5 x -3 / 7 x -8

Simplify 2 x -5 to -10.

Now, it should look like -10 x -3 / 7 x -8

30/7 x -8

30/-56

- 30/56 (the negative is front of the WHOLE equation.)

-15/28 is our final answer.

6 0
4 years ago
A function is shown below: f(x) = x3 + 2x2 - x - 2 Part A: What are the factors of f(x)? Show your work. (3 points) Part B: What
Lena [83]
<span>Part C: Plug in any values for x, get the y values, re-write them as (x,y) coordinates and graph.

Sorry, I do not know the other answers, but Part C was easy</span>
4 0
3 years ago
"three food trucks are set up at points a, b, and c. each of the three trucks is the same distance from the food distributor. at
jolli1 [7]

Answer:

circumcenter

Step-by-step explanation:

Suppose the three food trucks points a,b,c are joined together in such a way that the form a triangle. The perpendicular bisectors of the triangle are concurrent . The point of concurrency is called <u>circumcenter.</u>

According to the circumcenter theorem the points ( vertices of the triangle  a,b,c) are equidistant from the center D ( point of concurrency) called the circumcenter.

As the food distributor is equidistant from each of the trucks it lies at the circumcenter point of concurrency.

The drawing is just a generalizations to give an idea. It does not show actual bisectors perpendicular.

3 0
3 years ago
In the united states, voters who are neither democrat nor republican are called independent. it is believed that 12% of voters a
Nitella [24]

Answer:

a) 0.0245 = 2.45%

b) 0.9483 = 94.83%

c) 0.6931 = 69.31%

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are independent, or they are not. The probability of a person being independent is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

It is believed that 12% of voters are independent.

This means that p = 0.12

Survey of 29 people

This means that n = 29

a. what is the probability that none of the people are independent? probability =

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245

0.0245 = 2.45% probability that none of the people are independent

b. what is the probability that fewer than 7 are independent? probability =

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245

P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971

P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853

P(X = 3) = C_{29,3}.(0.12)^{3}.(0.88)^{26} = 0.2274

P(X = 4) = C_{29,4}.(0.12)^{4}.(0.88)^{25} = 0.2016

P(X = 5) = C_{29,5}.(0.12)^{5}.(0.88)^{24} = 0.1374

P(X = 6) = C_{29,6}.(0.12)^{6}.(0.88)^{23} = 0.0750

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0245 + 0.0971 + 0.1853 + 0.2274 + 0.2016 + 0.1374 + 0.0750 = 0.9483

0.9483 = 94.83% probability that fewer than 7 are independent

c. what is the probability that more than 2 people are independent? probability =

Either two or less are, or at least 3 are independent. The sum of the probabilities of these events is decimal 1. So

P(X \leq 2) + P(X > 2) = 1

We want P(X > 2). So

P(X > 2) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245

P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971

P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0245 + 0.0971 + 0.1853 = 0.3069

P(X > 2) = 1 - P(X \leq 2) = 1 - 0.3069 = 0.6931

0.6931 = 69.31% probability that more than 2 people are independent

3 0
3 years ago
65. show that of all the isosceles triangles with a given perimeter, the one with the greatest area is equilateral.
lora16 [44]

Answer:

Below.

Step-by-step explanation:

I can do this using calculus but the algebra will be a bit messy.

Let the 2 equal sides of isosceles triangle be x and the base be y units long.

Then perimeter p = 2x + y.

Area A = 0.5yh  where h is the altitude of the triangle.

h =  sqrt [x^2 - (0.5y)^2]

=  [x^2 - (0.5y)^2]^0.5

So A = 0.5y * [x^2 - (0.5y)^2]^0.5

From the perimeter formula y = p - 2x so:

A = 0.5(p-2x) * [x^2 - (0.5(p-2x)^2]^0.5

A = 0.5(p-2x) * [x^2 - 0.25(p^2 - 4xp + 4x^2)]^0.5

A = 0.5(p-2x) * [x^2 - 0.25p^2 + xp - x^2]^0.5

A = (0.5p-x) * [xp - 0.25p^2]^0.5

We now find the derivative and equate it to zero to find the value of x which corresponds to a maximum area.

We use the product rule:

dA/dx =   (0.5p-x)* 0.5(xp - 0.25p^2)^(-0.5) * p  - 1(xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 -  (xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 =  (xp - 0.25p^2)^0.5

Now multiplying though by (2((xp - 0.25p^2)^0.5 :-

p(0.5p - x) = 2 (xp - 0.25p^2)

0.5p^2 - px = 2px - 0.5p^2

p^2 = 3px

x = p^2/3p = p/3

So for a maximum value of the area x = p/3.

But y = p - 2x

         = p - 2(p/3)

          = p -  2/3p

           = p/3

- but we've just shown that x = p/3

That means that x = y and the triangle is Equilateral.

4 0
2 years ago
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