<span>h(n) = -n + 5
</span>⇔h(n - 2) = -(n -2) +5
<span> = -n + 2 + 5 = -n + 7</span>
Answer:
Step-by-step explanation:
The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.
The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get
and use this to find the variance in the formula:
it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:
Squaring this ensures us that we don't end up with zero, which would be useless.
so
which means that the standard deviation is
s = 3.633
(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)
First you have to find the angle that’s missing:
60+63+x=180
123+x=180
x=57
Now to find the missing exterior angle you do this:
x+57=180
x=123
Angle 1 would be 123 degrees.
Answer:
4√5
Step-by-step explanation:
√80 = √4·4·5 = √4²·5 = 4√5
Answer:
x ≈ 3.7 m
Step-by-step explanation:
Use the right triangle on the left to find the height h , using the sine ratio
sin39° = = ( multiply both sides by 7 )
7 × sin39° = h , then
h = 4.4
Using the tangent ration on the right side right triangle, then
tan50° = = = ( multiply both sides by x )
x × tan50° = 4.4 ( divide both sides by tan50° )
x = ≈ 3.7 m ( to 1 dec. place )