12 is 80% of 15. So if the rate continues, She will answer 20 out of the 25 correctly. Hope I helped love! <3
Answer:
16008
Step-by-step explanation:
Sum of an arithmetic sequence is:
S = (n/2) (2a₁ + (n−1) d)
or
S = (n/2) (a₁ + a)
To use either equation, we need to find the number of terms n. We know the common difference d is 1 − (-9) = 10. Using the definition of the nth term of an arithmetic sequence:
a = a₁ + (n−1) d
561 = -9 + (n−1) (10)
570 = 10n − 10
580 = 10n
n = 58
Using the first equation to find the sum:
S = (n/2) (2a₁ + (n−1) d)
S = (58/2) (2(-9) + (58−1) 10)
S = 29 (-18 + 570)
S = 16008
Using the second equation to find the sum:
S = (n/2) (a₁ + a)
S = (58/2) (-9 + 561)
S = 16008
Event A - roll a 6-number cube
Event B - flip a coin
*Independent events *not mutually exclusive events
Both events are independent and not mutually exclusive.
Independent event means that one can happen without relying on the outcome of the other one.
Not mutually exclusive event means that both can happen at the same time.
Z=110 degrees
A straight line is equal to 180 degrees. You determine the bottom to angles of the triangles first by subtracting the angle degrees by 180.
180-120=60
180-130=50
So now you have the bottom two angles of the triangle. All triangles add up to 180. So just add 50 and 60 together then subtract the answer from 180 to get the missing angle.
50+60=110
180-110=70
Now to find angle Z all you have to do is subtract 70 from 180.
180-70=110
Hope this helped!