Answer:
x=
−4y+32
9
Step-by-step explanation:
Let's solve for x.
y=
−9
4
x+8
Step 1: Flip the equation.
−9
4
x+8=y
Step 2: Add -8 to both sides.
−9
4
x+8+−8=y+−8
−9
4
x=y−8
Step 3: Divide both sides by (-9)/4.
−9
4
x
−9
4
=
y−8
−9
4
x=
−4y+32
9
I think this is the right answer.
Answer:
The term that best describes a figure formed by three segments connecting three non-collinear points is:
Triangle.
Step-by-step explanation:
Step-by-step explanation:
We know that with the help of just one point we can't form any figure.
With the help of two points a line segment can be formed.
And with the help of three points if the three points are collinear a triangle can be formed.
Hence, the term that best describes a figure formed by three segments connecting three non-collinear points is:
Triangle.
Answer:
Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.
Step-by-step explanation:
We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.
<em>Let X = incomes for the industry</em>
So, X ~ N(
)
Now, the z score probability distribution is given by;
Z =
~ N(0,1)
where,
= mean income of firms in the industry = 95 million dollars
= standard deviation = 5 million dollars
So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)
P(X < 100) = P(
<
) = P(Z < 1) = 0.8413 {using z table]
Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.
The circumference is about 3.14 (

) times bigger than twice the radius. Mathematically, this can be writted as

, where C equals the circumference and r equals the radius, or

where C equals the circumference and d equals the radius.