Answer:
85.56% probability that less than 6 of them have a high school diploma
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. 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.
50% of adult workers have a high school diploma.
This means that 
If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma
This is P(X < 6) when n = 8.
In which
85.56% probability that less than 6 of them have a high school diploma
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92
where V is the volume of each sphere
Solving for V
V = 113.0973
The formula for the volume of the sphere is:
V = (4/3) π r³
Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³
Since V = 113.0937
113.0937 = (1/6) π D³
D = 6
<span>Therefore, the diameter is 6 inches </span>
Answer:
C. The meeting will be in Los Angeles California on July, 17.
Step-by-step explanation:
This doesn't use commas correctly because there should be a comma after Los Angeles because it is a location. Also, there should not be a comma after 17 because the comma goes after the date when the year is included, which it is not.
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10
Multi-Digit Whole Number and Decimal Fraction Operations.
Answer:
Each friend receives 41 marbles, Wayne has 180 marbles left.
Step-by-step explanation:
Wayne starts with 303 marbles total. If he decides to give 123 of his marbles away to his friends, we can subtract this amount from his total to get how many he has left:
303 - 123 = 180 marbles left
We also want to know how many marbles each of his three friends receives. Since he wants to split them equally, we need to divide the number he is giving away by 3:
123 ÷ 3 = 41 marbles a piece to each friend
