Yes, it is a function because each input has only one output.
Hope it helps!
Representing 3 and one tenth as decimal by 3.1
<u>Step-by-step explanation:</u>
Here 3 is the whole number.
1 tenth is nothing but
.
= 0.1
When we write numerals with tenths using the decimals we can use a decimal point also the tenths positioned to the right of the decimal point. The tenth place is denoted as immediately right to the decimal point.
So it is represented as 3.1.
Answer:
option a
Step-by-step explanation:
given that at a large Midwestern college, 4 % 4% of the students are Hispanic.
A random sample of 20 students from the college is selected.
We have each student is independent of the other to be hispanic
p = success = being hispanic = 0.04 while
q = failure = being non hispanic = 0.96
X - no of hispanics is thus binomial with p = 0.04 and n =20 (sample size)
Since X is binomial
Var(x) = npq = 0.768
Std dev (x) = Square root of variance = 
rounded off it gives 0.88
So option a is right
Answer:
Step-by-step explanation:
Suppose x and y are nonzero vectors in an inner product space.
Let us assume that x and y are orthogonal
i.e. innter product is 0.
This implies dot product of x and y is 0
Then x.y =0
i.e. 
Proved
Converse part:
Let 
Square also would be equal

Hence inner product of x and y is 0
Answer:

Step-by-step explanation:
By the Triangle Proportionality Theorem:

By cross-multiplication:

Distribute:

Subtract 12x from both sides:

Hence:
