Answer:
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Step-by-step explanation:
Let one of the numbers be x,
Then the two numbers are x and x +1
And,
x+x+1 = 53
2x = 53 - 1 (Transposing 1 from LHS to RHS)
2x = 52
x = 52/2
x = 26
x + 1 = 27
So, The two numbers are 26 and 27.
Answer:

Step-by-step explanation:
The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.
So, the probability that x customers will order a nonalcoholic beverage is:

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

Where:

So,
is equal to:

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886
I hope this helps... if not let me know and I'll try to help again :)
Answer:
If P = (x,y) then formulas for each trigonometric functions are:
sin x = y/r
cos x = x/r
tan x = y/x
cot x = x/y
sec x = r/x
cosec x = r/y
where r = √(x²+y²).
First find r:
r = √(13²+84²)=√(169+7056)=√7225=85.
Then just substitute:
sin x = 84/85
cos x = 13/85
tan x = 84/13
cot x = 13/84
sec x = 85/13
cosec x = 85/84