See the attached picture for the histogram. To accomplish this manually, we would have to find the minimum and maximum (1 to 18), decide on the bin size (I used 1 here), and list the frequency of each result. In this case:
1-2 wins - 2
3 wins - 1
4 wins - 2
6 wins - 1
7 wins - 1
8 wins - 1
12 wins - 1
13 wins - 1
15 wins - 2
16 wins - 1
18 wins - 1
Then these are plotted on the histogram.
Answer:
The length of the fence that encloses the park is 400 m
Step-by-step explanation:
step 1
Find the length of the square city park
we know that
The area of a square is
where
b is the length side of the square
we have
substitute and solve for b
take square root both sides
step 2
Find out the length of the fence that encloses the park
we know that
The length of the fence is equal to the perimeter of the square city park
The perimeter of the square is
we have
substitute
therefore
The length of the fence that encloses the park is 400 m
We have the formula tan( a- b ) = ( tan a - tan b ) / ( 1 + tan a· tan b );
We use the formula (sin x)^2 + (cos x)^2 = 1;
Because sin a = 4/5 we have cos a = 3/5; then tan a = sin a / cos a = 4 / 3;
Because sin b = 5 / 13 we have cos b = 12 / 13; then tan b = sin b / cos b = 5 /12;
Finally, tan ( a - b ) = ( 4 / 3 - 5 / 12 ) / ( 1 + (4 / 3)·( 5 / 12 ) ) = ( 9 / 12 ) / ( 1 + 5 / 9 ) = ( 3 / 4 ) / ( 14 / 9 ) = ( 3 / 4 )·( 9 / 14 ) = 27 / 56.
Answer:
x= − 8
/13 = −1 8
/5 = −1.625
Step-by-step explanation:
either one is the answer
<3 Enjoy,
Dea
