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3 years ago

A single die is rolled, find the probability that the number is even or less than 6

1 answer:

8 0

1/1 chance, since 2,4,6 is even, and all numbers are less than 6 except 6, but since you said or, it doesn't matter because 6 is still even despite being not less than 6.

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

2 years ago

Read 2 more answers

The golden ratio is a solution to a quadratic equation.

Crank

Answer:

Below.

Step-by-step explanation:

a. Φ^2 − Φ − 1 = 0

Φ2 − Φ = 1

(Φ - 0.5)^2 - 0.25 = 1

(Φ - 0.5)^2 = 1.25

Φ - 0.5 = √(1.25) (We only take the positive root).

Φ = 0.5 + √(1.25)

b. I used Completing the square.

c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.

6 0

3 years ago

A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 met

kondaur [170]

The inference that can be made about the results is that; energy drinks enhances performance during 100 meters race.

<h3>How to find inference from a given data?</h3>

From the given table and histogram, we can see that;

Group 1 average race time = 10.8

Group 2 average race time = 11.6

Thus, since group 1 drank energy drink and had faster times than group 2 without energy drinks, the inference that can be made about the results is that energy drinks has enhancing performance during 100 meters race.

Read more about Inference at; brainly.com/question/1611703

#SPJ1

4 0

2 years ago

Is y=7x-3 have a proportional relationship

Black_prince [1.1K]

Answer:

my name is mmmmmmm

Step-by-step explanation:

hehehehe

8 0

3 years ago

Find the distance between each pair of numbers on the number line; then find the coordinate of their midpoint.

quester [9]

Answer:

d = 1 7/24 or 31/24; midpoint would be half of that,or 31/48

Step-by-step explanation:

Since distance is absolute value, add 2/3 and 5/8 to get the entire distance. Midpoint is that distance divided by 2.

4 0

2 years ago

Read 2 more answers