Answer:
Mr. Johnson can arrange 18 students in each row, that is 4 rows of boys and 5 rows of girls.
Step-by-step explanation:
Given:
Number of boys = 72
number of girls = 90
We need to arrange students in rows with equal number of only boys and only girls.
To find the maximum number (x) of boys or girls in each row, we will find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that 'x' divides both numbers evenly without a remainder.
Now to find GCF we will factorize both numbers.


from above we can say that;
GCF = 
Hence Mr. Johnson can arrange 18 students in each row, that is 4 rows of boys and 5 rows of girls.
Answer:
b
Step-by-step explanation:
Answer:
(4,2)
Step-by-step explanation:
It's parallel, so all of them have to be on the same way.
The last point has to be at the same distance from the one right above it
Answer:
Below in bold.
Step-by-step explanation:
The length of the side opposite to theta:
= √(24^2-21^2)
= √(24-21)(24+21)
= √(135)
= 3√15.
sin theta = 3√15/ 24 = √15/8. csc theta = 1/√15/8 = 8/√15 = 8√15/15.
cos theta = 21/ 24 = 7/8. sec theta = 8/7.
tan theta = 3√15/21 = √15/7. cot theta = 7/√15 = 7√15/15.
Answer:
Step-by-step explanation:
When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean. True or false?
This statement is false, or better still, ambiguous. 100 samples of size 30 (or greater) each, means 300 total and it can't be just 95 of them that will contain the true population mean.