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2 years ago

The points (5, -16) and (8, r) lie on a line with slope 4. Find the missing coordinate r.

Mathematics

1 answer:

Anika [276]2 years ago

6 0

Answer:

-4

Step-by-step explanation:

8-5= 3

x/3= 4

12/3=4

-16+12=-4

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A minor league hockey team had the following scores for the start of the season for the start of the season 3,6,2,1,2,3,0,4,5,1,

PolarNik [594]

ANSWER

The mean will be the most affected.

EXPLANATION

Given;

$3,6,2,1,2,3,0,4,5,1,5,4$

Initially, the mean, median and mode is calculated thus;

$\begin{gathered} mean=\frac{3+6+2+1+2+3+0+4+5+1+5+4}{12} \\ =\frac{36}{12} \\ =3 \\ mode=1,2,3,5 \end{gathered}$

To calculate the median, we need to re-arrange in ascending order. Hence;

$\begin{gathered} 0,1,1,2,2,3,3,4,4,5,5,6. \\ median=\frac{(3+3)}{2} \\ =\frac{6}{2}=3 \end{gathered}$

After adding 9;

The new data is;

$0,1,1,2,2,3,3,4,4,5,5,6,9$

The new mean is;

$\begin{gathered} mean=\frac{3+6+2+1+2+3+0+4+5+1+5+4+9}{13} \\ =3.46 \\ Mode=3 \\ median=3 \end{gathered}$

The mean will be the most affected.

4 0

11 months ago

How many squares can you count? A) 5 B) 4 C) 8 D) 6

Olenka [21]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

3 years ago

A 3 foot wide painting should be centered on 13 foot wide wall how many feet should be on each side of the painting

VLD [36.1K]

Answer:

5 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:

(13 - 3) / 2 = X

10/2 = X

5 = X

Therefore, 5 feet of wall should be on each side of the painting.

5 0

2 years ago

Henry's house weighs 65,000 pounds. He removes all of his belongings which weigh 5,000 pounds. Movers are using Crib Jacks to li

adell [148]

Since 1 ton is 2,000 lbs, each Crib Jack can life 30,000 lbs. It's going to take 2 Crib Jacks, because the extra 5,000 lbs in belongings were removed, leaving the house at a weight of 60,000 lbs.

7 0

2 years ago

Read 2 more answers