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
Answer:
a = 1 and b = 14 or a = 14 and b = 1
Step-by-step explanation:
This means that ab = 14 and a + b = 15. Simple guess and check reveals (1, 14) or (14, 1).
Answer:
Step-by-step explanation:
<u>Given function:</u>
It is a line with the slope of 1.
Average rate of change is same in any interval of the linear function and it equals to the rate of change or slope of the line.
You can calculate the average rate of change in the given intervals and you will always get the value of 1.
Answer:
256 Coins
Step-by-step explanation:
On the first day, Jada starts with one coin, so all you have to do here is multiply it by 2.
Day 1: 2 coins
Day 2: 2 x 2 = 4 coins
Day 3: 4 x 2 = 8 coins
Day 4: 8 x 2 = 16 coins
Day 5: 16 x 2 = 32 coins
Day 6: 32 x 2 = 64 coins
Day 7: 64 x 2 = 128 coins
Day 8: 128 x 2 = 256 coins
Hope this helps! Just message me if you have more questions or need more help! :)