Answer:
Step-by-step explanation:
0.0000345
Answer:
Step-by-step explanation:
Given that Z is a standard normal variate.
We are to calculate the probabilities as given
F(z) represents the cumulative probability i.e. P(Z<z)
a. P(z ≤ −1)
=F(-1)
= 0.158655
b. P(z > .95)
= 1-F(0.95)
= 0.1711
c. P(z ≥ −1.5)
= 1-F(-1.5)
= 0.9332
d. P(−.5 ≤ z ≤ 1.75)
=F(1.75)-F(-0.5)
= 0.6514
e. P(1 < z ≤ 3)
=F(3)-F(1)
=0.1573
82 percent turns into 82/100
That then becomes 41/50 when simplified
Answer = 41/50
The -4 will translate the graph of f(x) 4 units to the right.
Then the -2 before the x will stretch it vertically with factor 2, then reflect it in the y -axis.
Finally the + 5 will translate the graph 5 units vertically upwards
I'd say increasing each side by 5 increases the volume by a factor of 125 because 5*5*5 = 125.
Example:
A 4*5*6 prism has a volume of 120
Increasing each side by a factor of five
(20*25*30) = 15,000
15,000 / 120 = 125
