Question:
If a sample of 2 hammer is selected
(a) find the probability that all in the sample are defective.
(b) find the probability that none in the sample are defective.
Answer:
a 
b 
Step-by-step explanation:
Given
--- hammers
--- selection
This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities
Solving (a): Probability that both selection are defective.
For two selections, the probability that all are defective is:




Solving (b): Probability that none are defective.
The probability that a selection is not defective is:

For two selections, the probability that all are not defective is:




Answer:
if she baked thirty cookies she has 30 cookies
Step-by-step explanation:
The income statement illustrates that the net income will be $3530.
<h3>How to calculate the income statement?</h3>
The income statement will be:
<u>Revenue</u>
Consulting revenue 18350
<u>Expenses</u>
Miscellaneous expenses 720
Rent expense 4820
Salaries expense 8370
Telephone expenses 910
Total expenses 14820
Net income = 18350 - 14820 = 3530
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10 / 1 is a rational and which is equal to 10 so 10 is also a rational number
Answer:

Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2