Are y=3/4x + 1 and 6x + 8y = 3 parallel or perpendicular ?<br><br>

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used 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.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

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

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0

3 years ago

Which is the equation for line AB

miskamm [114]

The equation for line AB would be x = -5 but It looks like it is asking for line AD.

The equation of line AD can be written in slope-intercept form y=mx+b, m being the slope and b the y intercept.

The y intercept would be point D since it is on the y axis. The y intercept would be (0,6) or 6 in the equation.

The slope can be calculated by the slope formula which is m = y2-y1/x2-x1

For the slope form we have to plug in both points A and D

6-1 over 0+5 y x

The slope is y/x and 6-1=5 and 0+5=5. This means that the slope is 5/5 or just 1. Now that we have the slope, we can form the equation y=x+6.

Since we have to turn it into standard form, we move x to the other side of the equation using Subtraction property of equality to get as the final answer

-x+y=6

8 0

3 years ago

Find the measurement indicated in each parallelogram. Send help pleaseeee

jonny [76]

Answer:

A

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, then

WT = VU = 21.3 → A

5 0

3 years ago

Are y=3/4x + 1 and 6x + 8y = 3 parallel or perpendicular ?​

Are y=3/4x + 1 and 6x + 8y = 3 parallel or perpendicular ?