Answer:
The equation of the line is:
The graph is attached below.
Step-by-step explanation:
Given that the line has a slope of -3, so
m = -3
As the point contains the point (4, -2), so we can use the point-slope form of the line equation to determine the line.
Point slope form:
where m is the slope of the line and (x₁, y₁) is the point
so substituting the values m = -3 and the point (4, -2)
Therefore, the equation of the line is:
The graph is attached below.
Answer:
m = 3 and c = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 2 ← is in slope- intercept form
with m = 3 and c = - 2
F(x) = 4(3)x and f(5) = 972.
972 represents the population of the rabbits after five years.
5 in f(5) represents the year.
4 in f(x) = 4(3)x represents the starting population of the rabbits
3 in f(x) = 4(3)x represents the rate the population increases
x in f(x) = 4(3)x represents the number of years that have passed.
Answer:
The probability that an item selected for inspection is classified as defective is 0.01485.
Step-by-step explanation:
Denote the events as follows:
A₁ = an item produced by the company is defective.
A₂ = an item produced by the company is not defective.
X = an item is classified as defective by the inspector.
Given:
P (X|A₁) = 0.99
P (X|A₂) = 0.005
P (A₁) = 0.01
P (A₂) = 1 - P (A₁) = 1 - 0.01 = 0.99
The law of total probability states that:
Use this law to compute the probability that an item selected for inspection is classified as defective as follows:
Thus, the probability that an item selected for inspection is classified as defective is 0.01485.
50% is
We have two ways to do this, pick your favor:
either by fractions:
÷
(
Multiply by the reciprocal of
which is 2(flip it)
× 2 =
= 1.25
Or change them to decimals:
= 0.5
0.625 ÷ 0.5
0.5 I 0.625
multiply by 10 to make it easier to divide(it still gives us the same answer)
0.5 × 10 = 5
0.625 × 10 = 6.25
1.25
5 I 6.25
-5
12
-10
25
-25
0
0.625 ÷ 0.5 =
1.25