Answer:
If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 minutes
Sample size, n = 10
Alpha, α = 0.05
Population standard deviation, σ = 4 minutes
First, we design the null and the alternate hypothesis
Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.
Formula:
Now, 
Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.
Thus, we can write:
Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Answer:
See explanation
Step-by-step explanation:
Factorize numbers 42 and 56:
These two numbers have common factors 2 and 7. So,
A. Mr. Ellis can divide the group into
- 1 team = 42 ten-year-olds and 56 nine-year-olds (actually this is not dividing only completing 1 team);
- 2 teams = 21 ten=year-olds and 28 nine-year-olds in each team;
- 7 teams = 6 ten-year-olds and 8 nine-year-olds in each team;
- 14 teams = 3 ten-year-olds and 4 nine-year-olds in each team.
So, there are 3 different ways to divide the group of students into teams.
B. The greatest number of teams Mr. Ellis can make so each team has the same number of 9-year-olds and the same number of 10-year-olds is 14 teams.
C. If Mr. Ellis gives a snack to each winner, then he is interested to give the smallest number of snacks, the smallest number of snacks will be when the number of students in the team is the smallest, the smallest number of students will be when the greatest number of teams are created.
Answer:
No solution
Step-by-step explanation:
This is just a simple system of equations.
y=-1/4x+2
8y+2x=-40
Get the same variables onto their corresponding sides, so it will look like this:
y=-1/4x+2
8y=-2x-40
Now here, you have to be careful, because to solve for the system of equations, you need to make sure you are multiplying the equation proportionately.
8y=-2x+16
8y=-2x+40.
But here you see that they share the same variables in a similar format, but their values are supposed to be different, meaning that this equation is a false claim. So you would respond to the question as "no solution.
It’s letter D because the square in Step 1 is still not big enough to look like Step 2. hope this helps.
Answer:
t ≥ 72
Step-by-step explanation:
The pool has to be at least 72° or MORE to open, so we are going to have a greater sign with an equal sign under indicating that the temperature has to at least be 72° or be greater than 72°. (≥)
