Answer:
Fraction: 10 and 5/8
Step-by-step explanation:
17 × 5/8
85/8

which follows from the usual change of coordinates via

and Jacobian determinant

Swap the order, so that the integral is

and now let

, so that

. Now, you have
Answer:
28
Step-by-step explanation:
ABC=56, next BD is a bisector which means 1 and 2 are equal so 56/2 = 28, both 1 and 2 equal 28
Answer:
The probability mass function is expressed as:
P(x) = [(x+r-1)C(r-1)]*[p^r]*[(1-p)^x]
Step-by-step explanation:
This is not a binomial distribution. It is actually a negative binomial distribution. The probability mass function is expressed below:
P(x) = [(x+r-1)C(r-1)]*[p^r]*[(1-p)^x]
where:
x = number of failures
r-1 = number of successes (10 in this scenario)
p = probability of a success
nCr = n!/[r!(n-r)!]
The main formula difference in the positive binomial versus negative binomial is this: With respect to the negative binomial, it is obviously known that the last event will be: when we reach our 10th "head", we stop .
Thus, the last flip will ALWAYS be a "head".
Answer:
Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet
Step-by-step explanation:
Given:
Length of escalator = 30 feet
Distance between the floors = 12 feet
To find the distance from base of escalator to the point on the first floor directly below the top of the escalator we will create the figure for the situation.
From the figure we see that a triangle ABC is formed.
We see that the Δ ABC is a right triangle.
Applying Pythagorean theorem for right triangle ABC to find the missing side.

AB = 30 feet
BC = 12 feet
Plugging in values in the theorem.

Solving for AC.

Subtracting both sides by 144.


Taking square root both sides.


∴
feet.
∴ Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet