Answer:
B) 6, 8, 10
Step-by-step explanation:
All right triangles will follow the following theorem (Pythagorean theorem):
, where
and
are two legs of the triangle and
is the hypotenuse. Out of all answer choices, only B) 6, 8, 10 follow this theorem.
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
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:
From the central limit theorem we know that the distribution for the sample mean is given by:
And now for the deviation we have this:
So then the correct answer for this caee would be:
c. 1.30 ounces.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
From the central limit theorem we know that the distribution for the sample mean is given by:
And now for the deviation we have this:
So then the correct answer for this caee would be:
c. 1.30 ounces.