In order to solve this problem, you need to use a geometric series:
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>
= 219783.60 $
Luke's total earnings in five years are
<span>
219783.60 $.</span>
</span>
Volume of the cylinder can be calculated as:
V=πr²h
Radius = r = 4
Height = h = 7
π = 3.14
Using the values, we get:
V = 3.14 (16) (7) = 351.68 cubic units
So the answer to this question is 351.68
Answer:
Probability that at least 490 do not result in birth defects = 0.1076
Step-by-step explanation:
Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Proof -
Given that,
P(birth that result in a birth defect) = 1/33
P(birth that not result in a birth defect) = 1 - 1/33 = 32/33
Now,
Given that, n = 500
X = Number of birth that does not result in birth defects
Now,
P(X ≥ 490) = 
= 
+ .......+ 
= 0.04541 + ......+0.0000002079
= 0.1076
⇒Probability that at least 490 do not result in birth defects = 0.1076
You can use this equation for any numbers or variables in the form a2 - b2.
