Answer:
Step-by-step explanation:
Ok, if they make $36,000 every year, that means the maximum they can spend is $36,000.
If the mortgage is a monthly payment, and there are 12 months in a year, that means we will split the $36,000 over 12 different payments. To do that we will divide the 36,000 by 12
36,000 / 12 = $3,000
That means the most they can spend on mortgage is $3,000 per month.
Calculate the value of z and its probability, since with this we can know how likely it is that this will happen.
We have that the mean (m) is equal to 8.3, the standard deviation (sd) 1.2 and the sample size (n) = 15
They ask us for P (x =7.2)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (7.2 - 8.3) / (1.2 / (15 ^ (1/2))
z = -3.55
With the normal distribution table (attached), we have that at that value the approximate probability is:
P (z = -3.55) = 0.0001
The probability is 0.01 %
This affirms that the students do not sleep what the study says because the probability of this happening according to the survey is almost nil.
Answer:
I believe the answer is 400 operations per second.
Step-by-step explanation:
Answer:

Step-by-step explanation:
30/2=15
24/2=12
15/3=5
12/3=4
4/5
Answer:
the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Step-by-step explanation:
We need to factorise the function 
If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50
Checking few numbers:

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of
by (x-2) to find other factors
The long division is shown in figure attached.
After long division we get: 
The equation
can be further simplified as: (x+5)(x+5) or (x+5)^2
So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)