Answer:
y = m x + b equation of straight line
Slope = (y2 - y1) / (x2 - x1) = (-3 - 1) / ((7 - (-5)) = -4 / 12 = -1 / 3
y = -x / 3 + b since m is defined above
lf y = 7 then x = -5 given
7 = 5/3 + b
b = (21 - 5) / 3 = 16 / 3 = 5 1/3
y = -x / 3 + 5 1/3
Check: Use point x = -5
y = 5/3 + 16/3 = 21 / 3 = 7 correct
Answer:
A. The probability of event A
Step-by-step explanation:
The proportion of times a particular event A occurs is known as the probability of event A because the probability is the measure of uncertainty and by definition probability is calculated as
P(x)=X/n
where
P(x) is the probability of occurring of random variable X
X=number of favorable outcomes
and
n= total number of outcomes.
Thus, the proportion of times a particular event A occurs is known as the probability of event A.
Answer:
The distance from his starting point is <u>6.7 m</u>.
Step-by-step explanation:
Given:
Shane marched 3 m East and 6 m north.
Now, to get the distance from his starting point.
Let the distance from the starting point be
Now, to solve using pythagorean theorem:
<em>Using square root on both sides we get:</em>
<u>So, the distance from the starting point nearest to tenth is 6.7 m.</u>
Therefore, he is 6.7 m from his starting point.
Setting up a ratio
20 ft/7 ft
cannot be reduced ratio is the same as given
Divide $32.05 by 15 for the unit rate per gallon. So 32.05/15= $2.14 per gallon.