Answer:
a)Both X and Y can be well approximated by normal random variables.
Step-by-step explanation:
For each individual, there are only two possible outcomes. Either they are right-handed, or they are left-handed. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability:
Probability of exactly x sucesses on n repeated trials, with probability p.
The binomial probability can be well approximated by normal random variables, using the expected value
and the standard deviation 
Let X be the number of males (out of the 100) who are left-handed.
and
. Can be well approximated.
Let Y be the number of females (out of the 80) who are left-handed.
and
. Can be well approximated.
The correct answer is
a)Both X and Y can be well approximated by normal random variables.
Answer:
B. 150 ft³
Step-by-step explanation:
The general formula for the volume of a pyramid is:
V =
where B = the area of the base and h = height of the pyramid
Since the base of the pyramid is a square, we can take the length of the side squared:
A = s²
A = 5² = 25 ft²
Using B = 25 and h = 18:
V = 
Answer:
The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.
Step-by-step explanation:
The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.
However, the answer can still be explained here.
We can figure out how the graph would look like.
First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.
Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.
Rewrite the equation in slope-intercept form.
10x - 16y = 40
-16y = -10x + 40
y = -10x/-16 + 40/-16
y = ⅝x - ⁵/2
Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.
✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.
Answer:
it will be 3 hope that helps