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:
y=10x+99
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to x+10y=60.
Hey there! I'm happy to help!
To find the volume of a cone, you take the area of the base, multiply it by the height and divide it by three.
We see that the radius of our base is three. To find the area of the base, we will square the radius and multiply it by 3.14 (formula for area of circle).
3²=9
9×3.14= 28.26
We multiply it by the height.
28.26(2)=56.52
We divide it by three.
56.52/3=18.84
Therefore, the area is 18.84 units cubed.
Now you can find the volume of cones! I hope that this helps! Have a wonderful day!
The answer i think is maybe 91/20 and 1/28
Answer: 540
Step-by-step explanation: