Can someone help me with this plz?
2 answers:
You might be interested in
Answer:
n = 66.564
Step-by-step explanation:
- Because the population is unknown, we will apply the following formula to find the sample size:
Where:
z = confidence level score.
S = standard deviation.
E = error range.
2. We will find each of these three data and replace them in the formula.
"z" theoretically is a value that measures how many standard deviations an element has to the mean. For each confidence level there is an associated z value. In the question, this level is 99%, which is equivalent to a z value of 2.58. To find this figure it is not necessary to follow any mathematical procedure, it is enough to make use of a z-score table, which shows the values for any confidence interval.
The standard deviation is already provided by the question, it is S = 100.
Finally, "E" is the acceptable limit of sampling error. In the example, we can find this data. Let us note that in the end it says that the director wishes to estimate the mean number of admissions to within 1 admission, this means that she is willing to tolerate a miscalculation of just 1 admission.
Once this data is identified, we replace in the formula:
3. The corresponding mathematical operations are developed:
n= 66.564
By definition, the volume of a quarter of a sphere is given by:
Where,
r: sphere radius
Substituting values we have:
Making the corresponding calculation we have:
Answer:
The volume of the quarter-sphere shaped tank is:
Where,
r: sphere radius
Substituting values we have:
Making the corresponding calculation we have:
Answer:
The volume of the quarter-sphere shaped tank is:
We are given equations as
Firstly, we will write in slope intercept form of line
y=mx+b
Subtract both sides by 4x
now, we can divide both sides by a
we can find slope
so, we get
we are given second equation as
Firstly, we will write in slope intercept form of line
y=mx+b
divide both sides by a
we can find slope
we are given both lines are perpendicular
so, the multiplication of their slopes must be -1
we can plug values
now, we can solve for a
Multiply both sides by a
now, we can solve for a
we get
...............Answer