Product of a number and four is 4x
<span>12 more than that is 12+4x </span>
<span>fewer than 60 </span>
<span>12 + 4x < 60</span>
Answer:
9 mozzarella sticks and 3 onion rings
Step-by-step explanation:
we are given
airthematic sequence
we can use nth term formula
n is number of terms
an is nth term
d is common difference
a1 is first term
We are given
a7=40
we can use it
a18 = 106
we can subtract both equations
now, we can find a1
we can plug d=6
12th term:
now, we can plug values
so, 12th term is 70...........Answer
The Yule-Simon distribution is a discrete probability distribution. It is named after Udny Yule and Herbert A. Simon.
The Yule–Simon distribution was originally created by Yule as a limiting distribution model for a particular stochastic process, called the "Yule process" or the "preferential attachment process," in his study of the distribution of biological taxa and subtaxa.
The random variable X is said to have the Yule-Simon distribution if
P (X=k) = <u> 4 </u> where k = 1,2,...<u>
</u> k (k+1)(k+2)
Given parameters:
Equation:
(x-4)²=9
Problem, solve the equation by factoring and extracting the root
<u>Solution:</u>
Given equation:
(x-4)²=9
subtract 9 from both sides to equate to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
Now, this is similar to the concept of difference of two squares;
x² - y² = <em>(x + y)(x-y)</em>
Here x = x-4 and y = -3
So input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 4+3) = 0
(x -7)(x -1) = 0
S0,
x - 7 = 0 or x-1 = 0
x = 7 or 1
If we extract the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; this is not the only solution to the problem
So we cannot solve it by extracting the square root.
