-17/2
Step-by-step explanation:
30-8(8)+4y
30=64+4y
30-64=4y
-34=4y
y= -34/4
y= -17/2
hope it helps!
Answer:
Step-by-step explain
3n - 2 = n + 10. add 2
3n = n + 12 subtract n from both sides
2n = 12. divide by 2
N = 6
Answer:
The probability that the average score of a group of n = 4 people is between 70 and 75=0.13591
Step-by-step explanation:
We are given that


n=4
We have to find the probability that the average score of a group of n = 4 people is between 70 and 75.






Hence, the probability that the average score of a group of n = 4 people is between 70 and 75=0.13591
Answer:
551
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
=
( first + last)
The number of terms is
= a + (n - 1)d ← d is the common difference, a is the first term
d = 5 - 2 = 8 - 5 = 3, hence
2 + 3(n - 1) = 56
2 + 3n - 3 = 56
3n - 1 = 56 ⇒ 3n = 57 ⇒ n = 19
=
( 2 + 56 ) = 19 × 29 = 551
Answer:
Step-by-step explanation:
Statement Reasons
1). Line PQ is an angle bisector of ∠MPN D). Given
2). ∠MPQ ≅ ∠NPQ A). Definition of angle bisector
3). m∠MPQ = m∠NPQ F). Definition of congruent
angles.
4). m∠MPQ + m∠NPQ = m∠MPN C). Angle addition postulate
5). m∠MPQ + m∠MPQ = m∠MPN G). Substitution property of
equality
6). 2(m∠MPQ) = m∠MPN B). Distributive property
7). m∠MPQ =
E). Division property of equality