Answer:
15.2
Step-by-step explanation:
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:
-12
Step-by-step explanation:
if you use substitution
2*-5+2-4
-10+2-4
-8-4
-12
L= 2w+30
Perimeter= 2(l+w)
Substitute in the length above
P=2 ((2w+30) + w)
Remember order of operations. You must multiply everything by 2 before adding.
P=4w+60+2w
P=6w+60
Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
