Answer:
22
Step-by-step explanation:
Pretend the 10 values in the first sentence are a,b,c,d,e,f,g,h,i,j
Pretend the addition 5 values is k,l,m,n,o
So the mean of all the 15 data is (a+b+c+d+e+f+g+h+i+j+k+l+m+n+o)/15=20
So the sum of all 15 data is a+b+c+d+e+f+g+h+i+j+k+l+m+n+o=300 since 15(20)=300
Now let's look at the first 10: We have their mean so we can write:
(a+b+c+d+e+f+g+h+i+j)/10=19
so a+b+c+d+e+f+g+h+i+j=190 since 10(19)=190
So that means using our first sum equation and our equation sum equation we have
190+k+l+m+n+o=300
k+l+m+n+o=300-190
k+l+m+n+o= 110
So the average of those 5 numbers mentioned in your problem is 110/5=22
Answer:
30
Step-by-step explanation:
the factors are 1,2,3,5,6,10,15,30
The angle that is coterminal to 425° is the last one:
B = 425° + n*1,440°
<h3>Which measure is of an angle that is coterminal with a 425° angle?</h3>
By definition, for any angle A, we can say that an angle B is coterminal to A if:
B = A + n*360°
where n can be any integer.
So, from the given options, we need to see which one is a multiple of 360°.
Of the given options, the only that meets this condition is the last one:
B = 425° + n*1,440°
Where:
1,440°/360° = 4
Then we conclude that:
425° + n*1,440° is coterminal to 425°.
If you want to learn more about coterminal angles:
brainly.com/question/3286526
#SPJ4
Answer:
f(3) = -13
Step-by-step explanation:
f(x)= - x²-4 (not (-x)²)
f(3) = - 3² - 4 = - 9 - 4 = -13
Step #1 for both: figure out which interval your x-value fits into.
For f(-2), x=-2 and -2 fits with x ≤ -2, the top interval.
For f(3), x=3 and 3 fits into -2 < x ≤ 3, the middle interval.
Step #2 for both, plug in your x-value to the piece of the function that fits with that interval.
For f(-2), we know x≤-2, so we use 2x+8 to evaluate x=-2.
For f(3), we know -2
f(-2) = 2(-2)+8 = -4+8 = 4
f(3) = (3)^2 -3 = 9-3 = 6
