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sammy [17]
3 years ago
5

HELP What is the equation of the trend line in the scatter plot ?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0

Answer:

y=-x+8

Step-by-step explanation:

Slope = (y₂-y₁)/(x₂-x₁) = (1-8)/(7-0) = -7/7 = -1

Y-intercept = (0,8)

Therefore, the equation of the trend line is y=-x+8

You might be interested in
If two lines are parallel to each other. Does that mean they are equal to each other as well?
fomenos

Answer:

No.

Step-by-Step Explanation:

When two lines are parallel, they might or might not be equal. It is not necessary that they should be equal.

See the triangle below in which two lines are parallel to each other.

4 0
3 years ago
There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per hour. At
kumpel [21]

Answer:

The required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours and S(x) represents the depth of snow.

There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.

That means the depth of snow will be:

S(x)=1.5x\ \ \ 0\leq x< 4

At  4:00 a.m., it starting falling at a constant rate of 3 inches per hour,

From mid night to 4:00 a.m the depth of snow will be 1.5×4=6 inches.

If we want to calculate the total depth of snow from midnight to 7:00 am we need to add 6 inches in 3(x-4) where 4≤x<7

Therefore,

S(x)=3(x-4)+6\ \ \ 4\leq x

7:00 a.m. to 9:00 a.m., snow was  falling at a constant rate of 2 inches per hour.

From mid night to 7:00 a.m the depth of snow will be 3(7-4)+6=15 inches.

If we want to calculate the total depth of snow from midnight to 9:00 am we need to add 15 inches in 2(x-7) where 7≤x≤9

S(x)=2(x-7)+15\ \ \ 7\leq x\leq 9

Therefore, the required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

8 0
3 years ago
Y= 2x + 6 for x = 0,1,2,3,4
algol [13]

x=0    y=6

x=1     y=8

x=2    y=10

x=3    y=12

x=4    y=14

8 0
3 years ago
Philip ran out of time while taking a multiple-choice test and plans to guess on the last 4 questions. Each question has 5 possi
belka [17]

Answer:

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is correct, or it is not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

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

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

And p is the probability of X happening.

In this problem we have that:

There are four questions, so n = 4.

Each question has 5 options, one of which is correct. So

What is the probability that he answers exactly 1 question correctly in the last 4 questions?

This is

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

My guess...

⊕⊕⊕

6 0
3 years ago
What is the equation of the quadratic function represented by this table ??HELP PLEASE GRADUATION IS JUNE FIRST
miss Akunina [59]

9514 1404 393

Answer:

  -3, 7, 8

Step-by-step explanation:

You can fill in the boxes from the table values as shown in the attachment.

The leading coefficient is negative because the parabola opens downward. The value of it is the change in y-value as x changes by 1 unit either side of the vertex.

The vertex is identified by the fact that the y-values are symmetrical either side of the vertex.

5 0
3 years ago
Read 2 more answers
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