6% or 0.06 is the simple interest rate the bank pays him.
<u>Step-by-step explanation:</u>
Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit.
From this given information,
It can be determined that the Principal amount is $7550 and the interest amount is $5436.
The CD is for 12 years. Therefore, the number of years is 12.
<u>To find the interest rate (r) :</u>
Using the simple interest formula,
Interest = P×r×t
where,
- P is the principal amount = $7550
- r is the rate of interest.
- t is the number of years = 12
⇒ 5436 = 7550 × r × 12
⇒ 5436 = 90600 × r
⇒ r = 5436 / 90600
⇒ r = 0.06
Multiply by 100 to represent in rate %
⇒ r = 0.06 × 100
⇒ r = 6%
∴ 6% or 0.06 is the simple interest rate the bank pays him.
Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There are 12 bulbs, hence N = 12.
- 3 are defective, hence k = 3.
The third defective bulb is the fifth bulb if:
- Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
- The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.
Hence:


0.2182 x 1/8 = 0.0273.
0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
Answer:
x > 90, C
Step-by-step explanation:
20 + 2 < x / 3 - 8
x / 3 - 8 > 22
x / 3 > 30
x > 90
Answer:

Step-by-step explanation:




