Solving this problem needs the distance formula of point to a line.
The formula is:
distance = | a x + b y + c | / √ (a^2 + b^2)
So we are given the equation: y = 2 x + 4
Rewriting this would be: y – 2 x – 4 = 0 -> a = -2, b = 1, c = -4
We are also given the points:
(-4, 11) = (x, y)
Plugging it in the distance formula at points (x, y):
distance = | -2 * -4 + 1 * 11 + -4 | / √ [(- 2)^2 + (1)^2]
= 15 / √ (5)
= 6.7
So the tree is approximately 6.7 feet away from the zip line.
Answer:
6400 fans will be pleased.
Step-by-step explanation:
Out of 150 fans, 120 were pleased. Assuming the same ratio, out of 8000 fans, 8000x120/150 = 6400 will be pleased.
Answer:
The probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.
Step-by-step explanation:
Represent the provided data as follows:
Compute the probability of the number of Protestants that were calm for 2 out of 3 days as follows:

The number of Protestants surveyed is, <em>n</em> (Protestants) = 99.
The number of Protestants who were calm for 2 days,
<em>n</em> (Protestants who were calm for 2 days) = 6
The required probability is:

Thus, the probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.
Answer:
50 × 0.8 = $40 is the sale price
Step-by-step explanation:
Answer:
9.9 gallons
Step-by-step explanation:
To solve this problem, we need to cross multiply. Lets input the values (250, 275, 9) as shown below:

Next we cross multiply. We multiply 250 and x, and we multiply 9 and 275.


Now, lets put the values above back into the equation:

Lets solve this equation. First we divide 2,475 by 250, making x by itself.


This means that to drive 275 miles, Kala would need to use 9.9 gallons of gas.