Answer:
75
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
cos z = 8/10 = 0.8
Answer:
Step-by-step explanation:
Part A
This is a combination problem. Order does not matter.
36C6
36!/(30! 6!)
36 * 35 * 34 * 33 * 32 * 31/ 6!
1402410240/6!
1947792
Part B
1 / (36C6)
0.000000513 or
0.0000005
Answer:
The significance level is 
and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is 
Step-by-step explanation:
For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:
Null hypothesis: 
Alternative hypothesis: 
And the statistic is given by:
The significance level is and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is
Garden
max area is if the sides are as equal as possible
so he should try to make a square (ideal is a circle, but barn walls are normally straight)
squaer perimiter=4 times legnth of 1 side
perimiter=amount of fencing=80
80=4s
divide 4
20=s
one sides=20
area=legnth times width
in squaer, legnth=width
20=legnth
20=width
area=20 times 20=400
dimetions are 20ft by 20ft to give 400ft^2
(fun fact, if it were a circle, the area would be about 509.5ft^2)
answer is 20ft by 20ft and area=400ft^2
