Answer:
The probability is 0.0015
Step-by-step explanation:
We know that the mean
is:

The standard deviation
is:

The Z-score is:

We seek to find

The Z-score is:




The score of Z = 3 means that 7:15 p.m. is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So

Answer:
y = 0.9x - 0.8
Step-by-step explanation:
First you use the formula m = (y2-y1) / (x2-x1)
Sub in the 2 points you are given and you get m = (-8-1) / (-8-2)
m = -9/-10 = 9/10
Now u use the point slope formula, (y - y1) = m(x - x1)
Sub in the points and you get (y - 1) = 9/10 (x-2)
Expand it out to get y - 1 = 9/10x - 18/10
multiple everything by 10 = 10y - 10 = 9x -18
make y the subject, 10y = 9x - 8
y = 0.9x - 0.8
Answer:
120, 114, 126
Step-by-step explanation:
Since these are all exterior angles, they will all always add up to 360°. Since we know this, you can set up an equation and it would be x+(x+6)+114=360. When added you get 2x+120=360. Now subtract 120 on each side to get 2x equals 240. Then you divide by 2 and get that x is 120. Now all you have to do is plug x into the equations for the angles so they would be 120, 114, and 120+6 so 126. Now you have 120,114,and 126 as your angles. To check, just add all the angle measurements up and it should equal 360.
Answer:
(8,6)
Step-by-step explanation:
y=x3/4
y=8(3/4)
y=24/4
y=6
when you input 8 for x, you get 6 for y.
Answer:
function g is positive over (-∞, ∞)
function g has a y-intercept of (0,4)
function g decreasing over the interval (-∞, 0)
Step-by-step explanation: