Answer:
$21,000
Step-by-step explanation:
Solve the following fraction problem and choose the correct alternative: Jaime buys a property for $ 84,000 and after one year sells it earning 1/4 of the purchase price. How much was the profit? *
The amount of profit is calculated as
1/4 of the purchase price
Purchase price = $84,000
= 1/4 of $84,000
= 1/4 × $84,000
= $21,000
Therefore, the amount of the profit = $21,000
Answer:
A, C, F
Step-by-step explanation:
Definition: The circumcenter is the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. If point H is the circumcenter of the triangle DEF, then the circumcircle passes through its vertices D, E and F (option A is true).
Option B is false, the circumcircle doesn't pass through the points L, M and N. This option is true for inscribed circle, not for circumcircle.
Option C is true, because HD and HE are the radii of the circumcircle.
Option D is false. This option is true for inscribed circle, not for circumcircle.
Option E is false. This option is true for inscribed circle, not for circumcircle.
Option F is true, because both these angles are right angles.
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
-4i+3i=i-8+3i-12
-i=4i-20
20=4i+i
20=5i
20/5=i
4=i
Answer:
We need a sample of size at least 13.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
90% confidence interval: (0.438, 0.642).
The proportion estimate is the halfway point of these two bounds. So
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?
We need a sample of size at least n.
n is found when M = 0.08. So
Rounding up
We need a sample of size at least 13.
