The numbers are 1 and 18
<em><u>Solution:</u></em>
Let the smaller number be "x"
Let the larger number be "y"
Given that smaller of two numbers is five less than the larger number
smaller number = one - third of larger number - 5
3x = y - 15
y = 3x + 15 ------- eqn 1
Half the larger added to the smaller is 10
y + 2x = 20 ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
3x + 15 + 2x = 20
5x = 20 - 15
5x = 5
<h3>x = 1</h3>
From eqn 1,
y = 3(1) + 15 = 18
<h3>y = 18</h3>
Thus the numbers are 1 and 18
Answer:
The variable x will follow a geometric distribution, with mean = 3 and standard deviation = 3.46.
The values for P(x) are:
Step-by-step explanation:
This kind of random variables can be descripted by the geometrical distribution.
This distribution shows the probability of having an amount of "failures" before the first "success" (or the other way).
Let x be the number of trustworthy FBI agents tested until someone fails the test. The probability of failing a test is p=0.25
Then, the probability of x is:
The values for the first x are:
This probability will be descending as the the variable x increases.
The mean is:
The standard deviation is:
135 degrees
In a regular polygon, each interior angle has the same angle. So the eight angles in the octagon will have the same measure.
The formula for this type of problem is
(n-2)180/n
n represents the number of sides
(8-2)180/8
(6)180/8
1080/8
135
So each of the eight angles in an octagon would equal to 135 degrees
Answer:
a^2b(7 + 10b + 14b^2)
Use wolframalpha for math questions, or photomath!
To solve this, factor out a^2b from the expression.