Irrational would be the correct answer
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.
The answer is 3 at least thats what ive learned
Circumference = 2pi*r
r = radius
In our problem,
circumference = 36pi
r = ?
Let's plug our values into the formula above.
36pi = 2pi * r
Divide both sides by 2pi
18 = r
Answer:
A.)
Lower Value = 295
Upper Value = 485
B.)
Lower Value = 200
Upper Value = 580
C.)
Lower Value = 105
Upper Value = 675
Step-by-step explanation:
Given that mean (M) = 390
Standard deviation (σ) = 95
Lower Value = mean value - number of standard deviations specified
Upper Value = mean value + number of standard deviations specified
a. Μ ± 1σ of the observations lie between what two values?
Lower Value = 390 - 1(95) = 295
Upper Value = 390 + 1(95) = 485
b. Μ ± 2σ of the observations lie between what two values?
Lower Value = 390 - 2(95) = 200
Upper Value = 390 + 2(95) = 580
c. Μ ± 3σ of the observations lie between what two values?
Lower Value = 390 - 3(95) = 105
Upper Value = 390 + 3(95) = 675