Answer:
For each part selected, the probability of a defective part being produced must be 0.04.
The parts must be selected independently.
Step-by-step explanation:
For each part, there are only two possible outcomes. Either they are defective, or they are not. Each part has a 4% probability of being defective, and the probability of a part being defective is independent of other parts, that is, they are selected independently. These are the conditions under which this situation would be a binomial experiment.
So the correct answers are:
For each part selected, the probability of a defective part being produced must be 0.04.
The parts must be selected independently.
The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.
<u>Solution:</u>
Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute.
Let "m" represent the number of minutes spent
Number of gallons left in the tank = initial amount of water present – leaked amount of water
Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.
Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute
Hence, the required expression is 35 – m
Answer: x =2 and y= 1
Step-by-step explanation:2(2) + 1(1) =
4 + 1 = 5 which is true
hope this helps
Here, we are required to determine how many <em>perfect cube divisors</em> <em>160,000</em> has.
160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125
To determine how many perfect cube divisors 160,000 has;
We first need to highlight the <em>factors</em> of 160,000 as follows;
<em>(2 × 2 × 2) × (2 × 2 × 2) × 2 × 2 × (5 × 5 × 5) × 5</em>
As such, the product of numbers in each bracket yield a perfect cube; the expression above then becomes;
<em>2 × 2 × 5</em> × 8 × 8 × 125.
Therefore, 160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125
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