The crucial part of the wording of the problem tells us that the two integers are consecutive. So, let's call the first term x. Then the other term must be x + 1 since it comes right after it and is an integer. Now we can solve:
x(x + 1) = x + (x + 1) + 19
x^2 + x = 2x + 20
x^2 - x - 20 = 0
Now we factor:
(x - 5)(x + 4) = 0
This means x either equals 5 or x = -4 to satisfy the above equation. We know that x is positive from the question itself, so x must be 5. The number consecutively after it then must be 6.
Answer:
The 90% confidence interval is 0.575 to 0.625.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of 
.
For this problem, we have that:
90% confidence interval
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval is 0.575 to 0.625.
Answer:
P=0.1147
Step-by-step explanation:
P(bow tie)=0.03
P(no bow tie)=0.97
n=4
When you are doing distribution with this problem you are going to get your answer of....
D) 12x^2 - 13x - 14
Steps:
Simplify...
<span>(3x + 2)(4x - 7)
= (3x + 2) (4x + -7)
= (3x)(4x) + (3x)(-7) + (2)(4x) + (2)(-7)
= 12x^2 - 21x + 8x - 14
=12x^2 - 13x -14</span>
