The reason fractions need a common denominator before adding or subtracting is so that the numbers of pieces you are adding/subtracting are all the same size. Note that the numerator of a fraction just tells you how many pieces you have of that size.
Answer:
x = 10
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, thus
∠ A + ∠ B = 180, substitute values
9x + 8 + 8x + 2 = 180, that is
17x + 10 = 180 ( subtract 10 from both sides )
17x = 170 ( divide both sides by 17 )
x = 10
Answer:
Step-by-step explanation:
In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.
a1 = -4
a2 = -2
Let "d" representing the COMMON DIFFERENCE.
d = -2 -(-4)
d = -2 + 4
d = 2
ANSWER:
THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
You want to find the area of the circle. The formula for the area of a circle is A=πr^2 (Area=pi times radius squared). The diameter is the distance across the circle. Radius is half the diameter. Diameter=3. 3 divided by 2 equals 1.5. So, plug it into the equation. A=π1.5^2 (Area=pi times 1.5 squared).
