Answer:
Step-by-step explanation:
Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.
Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:
4^{-2}•7^{-2} = 1/4^2 • 1/7^2
= 1/(4×4) • 1/(7×7)
= 1/16 • 1/49
= 1/(16×49)
= 1/784
The domain would be x ≥ 0.
This is because the outlet cannot have profit before it was open. Therefore, the growth must be from year 0 to present. If they give a year as starting, you can have an upper limit too, but there is not enough information here to determine that information.
Answer:
75.76% probability that there will be 10 or more customers at this bank in one hour.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A bank gets an average of 12 customers per hour.
This means that 
Find the probability that there will be 10 or more customers at this bank in one hour.
Either there are less than 10 customers, or there are 10 or more. The sum of the probabilities of these events is 1. Then
We want 
Then
In which
So
Then
75.76% probability that there will be 10 or more customers at this bank in one hour.
The first statement, XZ ⊥ XY and XY = XZ = 5 proves that the triangle XYZ is isosceles.
One isosceles triangle has two congruent sides and two congruent angles.
And you should also know the theorem that states that if two sides of a triangle are congruent then the two angles opposite that sides are also congruent.
So, given that the two sides XZ and XY are congruent, their opposite sides are also congruent, and that proves that the the triangle is isosceles.
Answer:
4,100
Step-by-step explanation:
