Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
9514 1404 393
Answer:
A
Step-by-step explanation:
Collecting terms of the expression, we have ...
x + 0.1x = x(1 +0.1) = 1.1x
In words, adding 10% is the same as multiplying the value by 1.1. Choice A is appropriate.
Given:
unit rate: 20km/h
Speed = distance / time
20kmh = 30km / time
time = 20kmh / 30km
time = 2/3 hrs or 40 minutes
2/3 hrs * 60mins/hr = (2*60)/3 = 120/3 = 40 minutes
6 - a = 1/3(9a - 18)
6 - a = 3a - 6
-a - 3a = -6 - 6
-4a = -12
a = -12/-4
a = 3..........one solution
Answer:
y = -3x + 4
Step-by-step explanation:
y = 4, this is where your line intersects with the y axis.
x = 1 is where your line is on the x axis (you want to include the part of the line that hits a point straight on, not one that goes past it.) So when it lands on the corner of the grids like the 4 for the y axis does, that is the point you are going to use.
Rise/Run is then your equation, so since you go down 3 and over 1 (counting from your y axis point), your slope is -3/1 or -3.
Then goes your y axis, so the final equation is
y= -3x + 4
I hope this helped!
