The expression equivalent to ∛162 is ∛6 × ∛27
<h3>What is the cube root of a number?</h3>
The cube root of a number is a number a such that when another number, b multiplies itself 3 times, we get a.
So,
- a = b × b × b = b³and
- b = ∛a
<h3>What is a perfect cube?</h3>
A perfect cube is a number such that its cube root which is an integer or whole number.
<h3>How to find ∛162.</h3>
Since we have ∛162.
Since 162 is not a perfect cube, to find its cube root, we have
∛162 = ∛(54 × 3)
= ∛(18 × 3 × 3)
= ∛(2 × 9 × 3 × 3)
= ∛(2 × 3 × 3 × 3 × 3)
= ∛(6 × 27)
= ∛6 × ∛27
So, the expression equivalent to ∛162 is ∛6 × ∛27
Learn more about perfect cube here:
brainly.com/question/12172637
#SPJ1
Answer:
76 degrees
Step-by-step explanation:
We know that supplementary angles equal 180 degrees. So, set up the equations:
Then, you just plug 89 back into ZB, and simplify:
So, the measurement of angle ZB is 76 degrees.
Answer:
11.4
Step-by-step explanation:
For a probability distribution to be represented, it is needed that P(X = 0) + P(X = 1) = 0.44. Hence one possible example is:
<h3>What is needed for a discrete random variable to represent a probability distribution?</h3>
The sum of all the probabilities must be of 1, hence:
P(X = 0) + P(X = 1) + P(X = 3) + P(X = 4) + P(X = 5) = 1.
Then, considering the table:
P(X = 0) + P(X = 1) + 0.15 + 0.17 + 0.24 = 1
P(X = 0) + P(X = 1) + 0.56 = 1
P(X = 0) + P(X = 1) = 0.44.
Hence one possible example is:
More can be learned about probability distributions at brainly.com/question/24802582
#SPJ1
