Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
Answer:
A
Step-by-step explanation:
<span>B would be the most appropriate response for this. We don't need to worry about Ashley being in the 85th percentile, that is just extra information they have provided us. What we need to look at is her mean test score is 180, so that is the average score she normally gets on her tests, but then they say she has a standard deviation of 15 which means her scores are normally no lower than 165 and no higher than 195 because she normally doesn't deviate or change her score more than 15 points for her normal 180. So if you take 180 minus 15 you get 165 and if you take 180 plus 15 you get 195, therefore we can determine that the most appropriate answer would be between 165 and 195. The only option that fits in this category is B 185</span>
Y =4
if you replaced y with 4 the equation would be true...
it's easy math
- hope you have a nice day...
Answer:
CENTER :(2,-6)
RADIUS: 6
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