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4 years ago

A line passes through (2, −1) and (4, 5).

Mathematics

1 answer:

mash [69]4 years ago

6 0

The answer to the first problem is the top left corner because it is the only one with a -3 y-intercept and that's in the problem

To find the answer of the second problem you find the slope of the two points with the formula y2-y1 divided by x2-x1 and you just plug it in so 5+1 (the minus signs cancel out and turn into positives) divided by 4-2 and which is 6/2 which is 3 is your slope. then you could plug this information into a point slope form using either point I'm just going to choose the one with no negatives so plugging this in would be y-5=3(x-4) then you distribute the 3 and that gives you y-5=3x-12 then
+5 +5 add five to both sides of the equation and get
y=3x-7 and then you can put that into standard form which would be -3x+y=-7 and your answer would be the second one.

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Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follow

guajiro [1.7K]

Answer:

a) x = 1.52

b) s = 1.16

Step-by-step explanation:

We have that:

5 students watched 0 movies.

9 students watched 1 movie.

5 students watched 2 movies.

5 students watched 3 movies.

1 student watched 4 movies.

(a) Find the sample mean x.

Sum divided by the number of students. So

$x = \frac{5*0 + 9*1 + 5*2 + 5*3 + 1*4}{5 + 9 + 5 + 5 + 1} = \frac{38}{25} = 1.52$

(b) Find the approximate sample standard deviation, s.

Standard deviation of the sample.

Square root of the sum of the squares of the values subtracted from the mean, divided by the sample size subtracted by 1. So

$s = \sqrt{\frac{5*(0-1.52)^2 + 9*(1-1.52)^2 + 5*(2-1.52)^2 + 5*(3-1.52)^2 + 1*(4-1.52)^2}{24}} = \sqrt{\frac{32.24}{24}} = 1.16$

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3 years ago

Work out the area of this shape

Tems11 [23]

The area of this figure would be 66 square centimeters.

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4 years ago

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stealth61 [152]

Answer:

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Step-by-step explanation:

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3 years ago

Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the e

posledela

Answer:

$15,589

Step-by-step explanation:

Since it deteriorated 15%, it is now worth 85% of the original.

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3 years ago

С 3х +6 2х + 4 D B E О 24 32 Оооо 34

postnew [5]

Answer:

Step-by-step explanation:

Since AD is a straight line the sum of ABC and DBC would be equal to 180°

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x = 34

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3 years ago