Answer:
1.05% probability of randomly selecting 10 production employees on a hot summer day and finding that three of them are absent
Step-by-step explanation:
For each employee, there are only two possible outcomes. Either they are absent, or they are not. The probability of an employee being absent is independent of other employees. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
5% of the production employees at Midwest Auto Works are absent from work.
This means that
What is the probability of randomly selecting 10 production employees on a hot summer day and finding that three of them are absent
This is P(X = 3) when n = 10.
1.05% probability of randomly selecting 10 production employees on a hot summer day and finding that three of them are absent
Answer: first one
Step-by-step explanation:
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.
Answer:
1920π
Step-by-step explanation:
First, you need to find the volume of the statue in terms of pi.
Volume of cylinder formula:
V=πr²h
V=π4²15
V=π16×15
V=240π
Then, you need to find the mass of the statue.
Mass:
Mass= density × volume
Mass=20×240π
Mass=4800π
Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:
V=mass of sand/density
V=4800π/2.5
That gives you your answer:
1920π
Note: I had to do the exact same problem on Khan Academy. This is right.
Calculator says the answer is 1.315