Answer:
Solo Act lasted for 6 mins and ensemble acts lasted for 15 mins.
Step-by-step explanation:
9514 1404 393
Answer:
(9/34)√34 ≈ 1.543
Step-by-step explanation:
The second equation can be rewritten as ...
6x -10y -12 = 0
3x -5y -6 = 0
3x -5y = 6
__
The formula for the distance from point (x, y) to line ax+by+c=0 is ...
d = |ax+by+c|/√(a²+b²)
Then the distance from a point to the first line is ...
d = |3x -5y +3|/√(3² +(-5)²)
We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...
d = |6 +3|/√34
Simplifying and rationalizing the denominator gives a distance of ...
d = (9/34)√34 ≈ 1.543
Answer:
She can travel 21.75 miles in 3 hours.
Step-by-step explanation:
Firstly, you have to find out how many miles can Jill travel in 1 hour. So you divide it by 2 :


We have found out that she can travel 7.25 miles per hour. Next wr have to multiply it by 3 as the question says how far she run in 3 hours :


Answer:
The null hypothesis is given as
while the alternate hypothesis is 
Step-by-step explanation:
As per the the given data
p1=Proportion of Homeowners who would buy the security system
p2=Proportion of Renters who would buy the security system
As the null hypothesis states that there is no difference in the test thus it is given as

This states that there is no difference between the probabilities of the homeowners buying the security system and the renters buying the security system.
The Alternative hypothesis is the other possibility of the null hypothesis. i.e It negates the null Hypothesis and is given as

Answer:
length: 31
width: 12
Step-by-step explanation:
l=8+2w
p=2l+2w=88
(8+2w)+(8+2w)+w+w
16+6w=88
6w=72
w=12
l=8+2(12)
l=32
sorry if this was confusing