Answer:
37
Step-by-step explanation:
The first thing is to calculate critical z factor
the alpha and the critical z score for a confidence level of 90% is calculated as follows:
two sided alpha = (100% - 90%) / 200 = 0.05
critical z factor for two sided alpha of .05 is calculated as follows:
critical z factor = z factor for (1 - .05) = z factor for (.95) which through the attached graph becomes:
critical z factor = 2.58
Now we have the following formula:
ME = z * (sd / sqrt (N) ^ (1/2))
where ME is the margin of error and is equal to 6, sd is the standard deviation which is 14 and the value of z is 2.58
N the sample size and we want to know it, replacing:
6 = 2.58 * (14 / (N) ^ (1/2))
solving for N we have:
N = (2.58 * 14/6) ^ 2
N = 36.24
Which means that the sample size was 37.
Answer:
12;16
Step-by-step explanation:
The Pythagorean theorem states that
a^2+b^2=c^2 where a and b are legs of a triangle, and c is the hypotenuse.
This means that we have to find 2 values that once squared, add up to 400. (20^2)
Based on this, we can use the values of 12 and 16 to satisfy this.
12^2+16^2=144*256=400
Therefore, the legs of the triangle are 12 and 16.
Answer: y= -4
Step-by-step explanation:
Answer:
area=144
Step-by-step explanation:
so we need to find the length of each side
since its a square there is 4 sides
perimeter is all the sides added up
48/4=12
the formula for a squares are is b*h
12*12= 144
