Answer:
133°
Step-by-step explanation:
If the angle is "x"
We can say:
Complement of the angle is 90 - x
Supplement of the angle is 180 - x
Given, ANGLE IS 8 less than 3 times its SUPPLEMENT, so we can write:
x = 3(180 - x) - 8
So, now multiply and solve for x:
Thus, the angle is 133 degrees
So mean is pretty easy to calculate; you just add everything up and divide by the number of things you added. Variance is pretty tricky because it involves subtracting the mean from each number, squaring that, adding all of the numbers up, and then dividing by the number of things. Then standard deviation is just the square root of the variance. Although some might enjoy spending hours figuring these out (I actually had to take a class where we only did this and stuff like it), most of us who use statistical tests do not want to waste our time on it. It is for that reason that there are websites that will compute all of these and all you have to do is put in the numbers. A pretty good one is:
http://www.calculator.net/standard-deviation-calculator.html
This one will calculate these and almost any other tests you need.
Now to your problem, if we add all of them up and divide by N (the # of things added), then we will get a mean of (μ=$5.10). From this, we can do further descriptive statistics. Standard Variance of the sample was calculated to (s^2=0.254). If we take the square root of the variance, we get a standard deviation of (s=0.504). I hope that this helps you with this problem and I hope that I helped for future problems by introducing the variance and standard deviation calculator to you!
Answer:
78 miles
Step-by-step explanation:
Given that:
Original length, L = 47 miles
Additional length (miles) added per day, = 1 mile
Representing as an equation :
L(D) = original length + additional length per day * number of days
Let, D = number of days
L(D) = 47 + D
Length after 31 days :
L(31) = 47 + 31
= 78 miles
The amount invested at 11% is $5,000
The amount invested in stock is $14,000
What is the net profit on both investments?
The profit of each investment is the rate of return or loss multiplied by the amount invested
Let us assume that x was invested at 11% and the remaining 19000-x was invested at a loss rate of 3%
net profit=(11%*x)+(19000-x)*-3%
net profit=130
130=(11%*x)+(19000-x)*-3%
130=0.11x-570+0.03x
130=0.14x-570
130+570=0.14x
700=0.14x
x=700/0.14
x=$5,000
Amount invested in stock=19000-x
Amount invested in stocks=19000-5000
Amount invested in stocks=$14,000
Find out more about combined investments on:brainly.com/question/2166053
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Any number bigger than 3
4,5,6,7 are 4 numbers
