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3 years ago

5

Kim's softball team is playing in the championship game. They are losing by a score of 17 to 6. There are 4 innings to go. Kim w

ants to know how many runs her team needs per inning to win the game if the other team does not score. (Each run is worth 1 point.)

2 answers:

meriva3 years ago

7 0

(how many more needed) divided by (how many innings left)
17-6=11
4 left

11/4=2.75

needs to score 2.75 per inning (even though you can't score 0.75 point)

Firdavs [7]3 years ago

5 0

11 runs need to be made but you can't evenly spread it out between 4 innings so 3 innings need 3 runs and 1 inning needs 2 runs

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Which of the following are examples of inferential statistics?

alexgriva [62]

The answer is B. Testing random samples of wild animals to decide whether they are healthy

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3 years ago

If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?

strojnjashka [21]

Answer:

segment EF over segment LM equals segment FG over segment MN

Step-by-step explanation:

The triangles are similar, not congruent, so any answer choice with the word "congruent" can be ignored.

The sequence of letters in the triangle name tells you the corresponding segments:

EF corresponds to LM
EG corresponds to LN
FG corresponds to MN

Corresponding segments have the same ratio, so ...

EF/LM = FG/MN . . . . . . matches the first answer choice

EF/LM = EG/LN . . . . does not match the 3rd answer choice

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3 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

Solve and graph the inequality 2|x-4|+3<15 on a number line

torisob [31]

Answer: 2< x < 10, closed circle at 2 and 10, line inbetween them

Step-by-step explanation:

4 0

3 years ago

Can you try to solve this plz

Nostrana [21]

Answer:

50 dgrees

Step-by-step explanation:

staruight line is 180 so 180 minus 130 is 50

8 0

3 years ago