The standard form of a line:
The union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.
<h3>What is a set?</h3>
A set is simply a mathematical model for a collection of different things which could be elements or members.
Union of sets represented with '∪' is the combination of two sets without repetition
Intersection of sets represented with '∩' is the sum of elements common between the.
From the expression given, we have;
[-9,-4] U (-4, 19)
= { -4, -9 , 19}
[-9,-4] U (-4, 19)
= { -4}
Thus, the union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.
Learn more about sets here:
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C would be the answer because to find the area of a circle A=pi times radius squared and you put that in a calculator and get 50.24
Answer:
The answer is 76.9 rounded or rounds.
Step-by-step explanation:
Solution
Given that:
Mean = μ = 72.5
Standard deviation = σ = 6.5
Now
By applying the standard normal table we have the following:
P(Z < z) = 75%
= P(Z < z)
= 0.75
Thus
z =0.67 by using the standard normal z table
Applying the z-score formula we have:
x = z * σ + μ
x = 0.67*6.5+72.5
x= 76.855 ≈ 76.9
Therefore the cutoff time is 76.9 rounds.
Answer: There are 4 students in the group.
Step-by-step explanation:
Let the number of students in the group be n
If one of them scored 9 more points , their average score would be 81 points.
So, our equation (1) will be
Similarly,
If one of them scored 3 points less, their average score would be 78 points.
So, our equation (2) will be
So, from equation (1) and (2) we get:
Hence, there are 4 students in the group.
