Answer
the equation of a line that is perpendicular to −x+3y=9 is y=-3x-7
Step-by-step explanation:
Equation of given line is −x+3y=9
we write the equation in y =mx+b to find slope of given line (m)
−x+3y=9
Add x on both sides
3y = x+ 9
Divide by 3 on both sides
Slope of given line = 1/3
Slope of perpendicular line is the negative reciprocal of slope of given line
Slope of perpendicular line = -3
Perpendicular line passes through point (-3,2) that is (x1,y1)
Now we use point slope equation
y - y1 = m (x-x1)
y - 2 = -3(x-(-3))
y - 2= -3(x+3)
y -2 = -3x -9
Add 2 on both sides
y = -3x - 7
Answer:
The point estimate of the standard deviation for the population of NFL games is
Step-by-step explanation:
a) Develop a point estimate of mean fan rating for the population of NFL games
The point estimate is the mean of the sample.
The mean is the sum of the values divided by the number of values. There are 12 values, so:
The point estimate of mean fan rating for the population of NFL games is 60.08.
b. Develop a point estimate of the standard deviation for the population of NFL games (to 4 decimals).
This point estimate is the standard deviation of the sample.
The standrd deviation of a N-cardinality set is given by the following formula:
where is the element at the position k of the set and M is the mean of the set.
For this sample, we have that the standard deviation(using a calculator) is:
The point estimate of the standard deviation for the population of NFL games is
Answer:
The age of the person who walked in the room is 44.
Step-by-step explanation:
The original mean age is 38 which means the total ages combined divided by the 5 people.
5 people x 38 (the mean age) = x
x = Total ages combined
x = 190 years old
Then another person came in, now totaling 6 people, and the mean age changed to 39 years old, an increase.
6 people x 39 (the new mean age) = y
y = Total ages combined
y = 234 years old
So, we are trying to figure out the age of the new person who came in. We have to subtract the new total age (y) by the original total age (x).
y - x = Age of new person in room
234 years old - 190 years old =
44 years old
Answer:
12+√74 ≈ 20.60
Step-by-step explanation:
The side lengths of this right triangle are 5 and 7 units, so the length of the hypotenuse is ...
b² = a² +c² = 5² +7² = 74
b = √74
The perimeter is ...
P = a + b + c = 5 + √74 + 7
P = 12+√74 ≈ 20.60
Answer:
60%
Step-by-step explanation:
There are 7 blue, 5 purple, 12 red, and 6 orange marbles.
There are 30 marbles in all.
There are 18 red and orange marbles. There are 18 preferred events and 30 total events.
%
There should be 60% chance that Roberto would pick either a red or orange marble.