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:
Step-by-step explanation:
okay so i’m not 100% sure on how to do this but i think you can just add the two together? like 15 + 21 + b. like that’s be 36b. so i’m not sure if that’s how you do it but i think you can do it that way?
Factor both numbers by finding every number that can be divided evenly out of the number.
The factors for 9 are: 1, 3, 9
The factors for 12 are: 1, 2, 3, 4, 6, 12
The largest factor the two numbers have in common is 3.
Answer:
-1
Step-by-step explanation:
Because in this equation the -1 doesn't have any variables (x,g,etc.) it makes it the y intercept, therefore your y intercept is y= -1
Answer:
The minimum value of this quadratic function is -4.
At the point (-4, 0), the x-axis intercepts with the quadratic graph.
There is 1 root of this quadratic equation.
Approximately, when y=1, the x value could be -5 or -3.