Answer:
a) 0.6915; b) 2.83 years
Step-by-step explanation:
For part a,
The formula for a z score is
Our mean, μ, is 3.25 and our standard deviation, σ, is 0.5.
This gives us
z = (3-3.25)/0.5 = -0.25/0.5 = -0.5
Using a z table, we see that the area under the curve to the left of this is 0.3085. However we want the area to the right; this means we subtract from 1:
1-0.3085 = 0.6915
For part b,
We look in the cells of a z table to find the value closest to 20%, or 0.2000. This is 0.2005, which corresponds with a z score of -0.84:
-0.84 = (X-3.25)/0.5
Multiply both sides by 0.5:
0.5(-0.84) = ((X-3.25)/0.5)(0.5)
-0.42 = X-3.25
Add 3.25 to each side:
-0.42+3.25 = X-3.25+3.25
X = 2.83
The advertised life would be 2.83 years.
Answer: student tickets = 208
Adult tickets = 97
Step-by-step explanation:
x + y = 305
x = 305 - y
5x + y = 693
Substituting
5 (305 - y) + y = 693
1525 - 5y + y = 693
-4y = -832
y = 832 / 4 = 208
Y=mx+b
Find the y-intercept (-2,1)
1=-1\2(-2)+b
1=2\2+b
1=1+b
-1+1=b
0=b
Y=-1\2x this the answer ,the slope is zero you don't need to write it!
Answer:
?
Step-by-step explanation:
?
280 right handed gloves. First, we'd need to find out the amount of left handed gloves. We do this by multiplying 0.3 (which is basically 30%) by the total number of gloves. This is because we are finding out 30% of the 400 gloves, and "of" represents multiplication. We get 120. Then, we subtract that number from 400 to get the amount of right handed gloves, which is 280. hope this helps :)
