We know that Vertically Opposite Angles of two Lines Crossing each other are Equal.
From the Given Figure We can notice that x° and 128° are Vertically opposite Angles. So, they both should be Equal.
⇒ x° = 128°
Answer:
B. 150 ft³
Step-by-step explanation:
The general formula for the volume of a pyramid is:
V = where B = the area of the base and h = height of the pyramid
Since the base of the pyramid is a square, we can take the length of the side squared:
A = s²
A = 5² = 25 ft²
Using B = 25 and h = 18:
V =
Twelve million threehundred and seventy five thousand ans three
I'll leave the computation via R to you. The are distributed uniformly on the intervals , so that
each with mean/expectation
and variance
We have
so that
Now,
and
We have
because and are independent when , and so
giving a variance of
and so the standard deviation is
# # #
A faster way, assuming you know the variance of a linear combination of independent random variables, is to compute
and since the are independent, each covariance is 0. Then
and take the square root to get the standard deviation.
Answer: The equation is t(n) = 64(0.5)^n.
This is an example of an exponential equation because we are repeatedly multiplying the value by 1/2.
Exponential equation take the form of y = ab^x, where a is the starting amount and b is the rate.
In our case, we are starting with 64 and reducing half (0.5) of the teams each week.
This makes our equation: y = 64(0.5)^x