Answer:
Step-by-step explanation:
Answer:
a) Discrete Variable
b) Continuous Variable
Step-by-step explanation:
We are given the following in the question:
Discrete and Continuous:
- Discrete data are the data whose value can be expressed in whole number. They cannot take all the values within an interval.
- Discrete variables are usually counted than measured.
- Continuous variable can be expressed in the form of decimals. They can take any value within an interval.
- Continuous variables are usually measured than counted.
(a) The number of free dash throw attempts before the first shot is made.
Since the number of shots made will always be expressed in whole numbers and the number of shots made will counted and not measured. Thus, number of free dash throw attempts before the first shot is made. is a discrete variable.
(b) The distance a baseball travels in the air after being hit.
The distance is a continuous variable as its value can be expressed in decimals. Also distance is always measured and not counted. Thus, distance a baseball travels in the air after being hit is a continuous variable.
Answer:
Step-by-step explanation:
You have the following differential equation:
(1)
In order to find the solution to the equation, you can use the method of the characteristic polynomial.
The characteristic polynomial of the given differential equation is:
The solution of the differential equation is:
(2)
where m1 and m2 are the roots of the characteristic polynomial.
You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:
Answer:
1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get:
5.
6.
7.
Step-by-step explanation:
Question 1:
We need to rewrite the expression using exponents
5.a.b.b.5.c.a.b.5.b
We will first combine the like terms
5.5.5.a.a.b.b.b.b.c
Now, if we have 5.5.5 we can write it in exponent as:
a.a as
b.b.b.b as:
So, our result will be:
Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get:
Question:
Rewrite using positive exponent:
The rule used here will be: which states that if we need to make exponent positive, we will take it to the denominator.
Applying thee above rule for getting the answers:
5)
6)
7)
We know that so, we get