Answer:
x = 42.9 m
Step-by-step explanation:
Corresponding sides of similar triangles MAB and MNP are proportional. This means ...
x/MP = MA/MN
However, we don't have a number for MA yet, so we need to find it.
MA +AN = MN
MA = MN - AN subtract AN
MA = 67.2 m - 32 m = 35.2 m
Now, we can use this to find x.
x = MP · (MA/MN) = (81.9 m) · 35.2/67.2
x = 42.9 m
Answer:
Step-by-step explanation:
f(x)=(x+4)(x-4)(x-1)
=(x²-16)(x-1)
=x³-x²-16x+16
The LCM, (Least Common Multiple) of 12 and 30 is 60. You get this because 60 is the lowest number 12 and 30 both go in to.
All the angles make a full circle which needs to equal 360 degrees.
Add all the angles together to equal 360:
X + (x-10) + (4x-20) +(2x-10) + (x +10) = 360
Combine like terms:
9x -30 = 360
Add 30 to both sides:
9x = 390
Divide both sides by 9:
X = 390/9
X = 43.3333. ( 43 and 1/3)
Answer:
The best option is:
B.7.82
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Data given
represent the real population proportion for residents born in Colorado
represent the estimated proportion for rsidents born in Colorado
is the sample size selected
Solution to the problem
Let X the random variable of interest (number of residents in the sample), on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The expected value is given by this formula:
And the standard deviation for the random variable is given by:
The best option is:
B.7.82