Answer:
D (2, 1)
Step-by-step explanation:
Fir an in-detailed representation, image below
- Started with plotting the given center (yellow)
- From the center: go 5 units up, down, right and left (light blue)
- You will have 5 points plotted now
- connect the light blue dots to form a circle (red, not to scale!)
- Now, locate every choice point, which one is on the red line?
- D!!!!!
Learn more about Circles here: brainly.com/question/10368742
Answer: Experimental Probability
Step-by-step explanation:
Theoretical Probability is the theory behind probability. Experimental (empirical) probability is probability calculated during experiments, direct observation, experience, or practice. The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
Answer:
a. closed under addition and multiplication
b. not closed under addition but closed under multiplication.
c. not closed under addition and multiplication
d. closed under addition and multiplication
e. not closed under addition but closed under multiplication
Step-by-step explanation:
a.
Let A be a set of all integers divisible by 5.
Let
∈A such that 
Find 

So,
is divisible by 5.

So,
is divisible by 5.
Therefore, A is closed under addition and multiplication.
b.
Let A = { 2n +1 | n ∈ Z}
Let
∈A such that
where m, n ∈ Z.
Find 

So,
∉ A

So,
∈ A
Therefore, A is not closed under addition but A is closed under multiplication.
c.

Let
but
∉A
Also,
∉A
Therefore, A is not closed under addition and multiplication.
d.
Let A = { 17n: n∈Z}
Let
∈ A such that 
Find x + y and xy


So,
∈ A
Therefore, A is closed under addition and multiplication.
e.
Let A be the set of nonzero real numbers.
Let
∈ A such that 
Find x + y

So,
∈ A
Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.
Therefore, A is not closed under addition but A is closed under multiplication.
Answer:
0=0
infinitely many solutions
Step-by-step explanation:
plug x=2y+3 as x into 3x-6y=9...so
3(2y+3)-6y=9, which has our x=2y+3 plugged in because that is what x equals
if you solve its
6y+9-6y=9
0y=0
y=0
making it 0=0
you can't go further from this
Do you have 1 7/8 divided by one half. With dividing you multiply by the reciprocal of 1/2 which is 2/1. Before you do that change 1 7/8 into a mixed number which is 15/8. 15 x 2= 30, 8 x 1=8. New fraction is 30/8. Now as a mixed number it is 3 6/8 which simplifies to 3 3/4. So your answer is D