Answer:
The solutions can be p=3/2 or p=-3/2
Step-by-step explanation:
4p^4 - 25p^2 + 16p^2 = 0
4p^4 - 9p^2 = 0
4p^2 - 9p = 0
p^2 = 9/4
p = sqrt(9/4)
p = 3/2 or p = -3/2
Three consecutive integers...
Let call the first integer as ''x''.
They are consecutive integers. So, we have: x, x+1, x+2.
The sum is (x+(x+1)+(x+2)).
The sum is three more than twice the middle integer (x+1). So, we get the following equation:
3*(x+(x+1)+(x+2)) = 2*(x+1)
Let's solve the equation:
1. Multiplying...
3x + 3x + 3 + 3x + 6 = 2x + 2
2. Adding the terms...
9x + 9 = 2x + 2
3. Let's subtract 2x from both sides...
9x - 2x + 9 = 2x - 2x+ 2
7x + 9 = 2
Now, let's subtract 9...
7x + 9 - 9 = 2 - 9
7x = -7
Now, divide both sides by 7...
7x/7 = -7/7
So, we have:
x = - 1
First integer: x = -1
Second integer: x + 1 => -1 + 1 = 0
Third integer: x + 2 => -1 + 2 = 1
Answer:
(1)
The confidence interval for this case would be:
And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value 
would be lower. So then the best option would be:
a. becomes narrower
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean
s represent the sample standard deviation
n represent the sample size
Solution
The confidence interval for the mean is given by the following formula:
(1)
The confidence interval for this case would be:
And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value would be lower. So then the best option would be:
a. becomes narrower
