5d=470:
in this case we have to divide both sides by 5:
d=94
8a=47:
in this case we have to divide both sides by 8:
a=5.875
as a general rule, if you want to find out a value of a in
ab=c
you have to divide both sides of the equation by b (if it's not zero); then you will have left:
a=c/b
and if you calculate c/b, this will give you the answer
Answer:
2x + 3y = -21
Step-by-step explanation:
Parallel lines have same slope.
2x + 3y = -21
3y = - 2x - 21
y =
Answer: 36.32
Step-by-step explanation:
Area of circle is π(r^2)
r is d/2
= 3.14*((6.8/2)^2)
=36.32
So if the radius is 2 then the diameter is 4 since the radius is half of diameter. Circumference is 3.14.
3.14× 4 =12.56
Answer:
a) 0.7063; b) 0.0228; c) 0.2709
Step-by-step explanation:
We use z scores for these problems. The formula for a z sore is
For part a,
We want P(5 ≤ X ≤ 11):
z = (5-9.6)/2.3 = -4.6/2.3 = -2
z = (11-9.6)/2.3 = 1.4/2.3 = 0.61
The area under the curve to the left of z = -2 is 0.0228. The area under the curve to the left of z = 0.61 is 0.7291. This makes the area between them
0.7291 - 0.0228 = 0.7063
For part b,
We want P(X ≤ 5):
z = (5-9.6)/2.3 = -4.6/2.3 = -2
The area under the curve to the left of z = -2 is 0.0228.
For part c,
We want P(X > 11):
z = (11-9.6)/2.3 = 1.4/2.3 = 0.61
The area under the curve to the left of z = 0.61 is 0.7291. However, we want the area to the right; this means we subtract from 1:
1-0.7291 = 0.2709