Answer:
y = -2x + 8
Step-by-step explanation:
When two points are given, the equation of the line passing through the points is given by:

where:
and
are the two points passing through the line.
Here,
and
.
Substituting in the formula, we have:

⇒ 
⇒ y - 4 = -2x + 4
⇒ y = -2x + 8 is the required equation of the line.
Answer:
Probability that average height would be shorter than 63 inches = 0.30854 .
Step-by-step explanation:
We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.
Also, a random sample of 4 women from this population is taken and their average height is computed.
Let X bar = Average height
The z score probability distribution for average height is given by;
Z =
~ N(0,1)
where,
= population mean = 64 inches
= standard deviation = 4 inches
n = sample of women = 4
So, Probability that average height would be shorter than 63 inches is given by = P(X bar < 63 inches)
P(X bar < 63) = P(
<
) = P(Z < -0.5) = 1 - P(Z <= 0.5)
= 1 - 0.69146 = 0.30854
Hence, it is 30.85% likely that average height would be shorter than 63 inches.
Answer:
This means the dot IS a part of the solution.
Step-by-step explanation:
A closed dot means it is included, but an open dot means it is not included.
Answer:
D: (1, 4)
Step-by-step explanation:
You can either solve by substitution or elimination. If you are timed, the fastest way is to guess and check (plug-in the answer choices)
I will be using substitution to solve this:
Step 1: Since you have y already, you can set them equal to each other
x+3 = 3x+1
3 = 2x +1
2 = 2x
x = 1
Step 2: Now you have x, plug x into one of the original equations. In this case, I will use the first one
y = 1 + 3
y = 4
Step 3: Now write your answer as a coordinate plane point
x = 1, y = 4
(1, 4)