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frozen [14]
3 years ago
10

a baseball team scored the following number of runs in its game this season: 6, 2, 5, 9, 11, 4, 5, 8, 6, 7, 5. there is one more

game in the season. if the team wants to end the season with an average of at least 6 runs per game, what us the least number of runs the team must score in the final game of the season?
Mathematics
1 answer:
frez [133]3 years ago
7 0
After the season, 12 games would be played, and you need to know this to work out the mean
Let's call the number of points needed for a 6 point average 'x'
The mean would be: 6 + 2 + 5 + 9 + 11 + 4 + 5 + 8 + 6 + 7 + 5 + x = 12 * 6
Simply put:
68 + x = 72
Then simplify it
x = 4
They would need 4 points to end the season with an average of 6 points

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jonny [76]

Answer:

2.5 hours

Step-by-step explanation:

BB = 25 + (15x)2

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25 + 30x = 40x

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2 years ago
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In an arithmetic sequence, a17 = -40 and
Viktor [21]

Answer:

Tn = 2Tn-1 - Tn-2

Step-by-step explanation:

Before we can generate the recursive sequence, we need to find the nth term of the given sequence.

nth term of an AP is given as:

Tn = a+(n-1)d

If a17 = -40

T17 = a+(17-1)d = -40

a+16d = -40 ...(1)

If a28 = -73

T28 = a+(28-1)d = -73

a+27d = -73 ...(2)

Solving both equations simultaneously using elimination method.

Subtracting 1 from 2 we have:

27d - 16d = -73-(-40)

11d = -73+40

11d = -33

d = -3

Substituting d = -3 into 1

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a - 48 = -40

a = -40+48

a = 8

Given a = 8, d = -3, the nth term of the sequence will be

Tn = 8+(n-1) (-3)

Tn = 8+(-3n+3)

Tn = 8-3n+3

Tn = 11-3n

Given Tn = 11-3n and d = -3

Tn-1 = Tn - d... (3)

Tn-1 = 11-3n +3

Tn-1 = 14-3n

Tn-2 = Tn-2d...(4)

Tn-2 = 11-3n-2(-3)

Tn-2 = 11-3n+6

Tn-2 = 17-3n

From 3, d = Tn - Tn-1

From 4, d = (Tn - Tn-2)/2

Equating both common difference

(Tn - Tn-2)/2 = Tn - Tn-1

Tn - Tn-2 = 2(Tn - Tn-1)

Tn - Tn-2 = 2Tn-2Tn-1

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The recursive formula will be

Tn = 2Tn-1 - Tn-2

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3 years ago
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Describe the process of rewriting the expression Please Help
Mazyrski [523]

Answer:

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Step-by-step explanation:

Given expression is:

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First we will use the rule:

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We will use tha property of multiplication on powers:

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Applying the outer exponent now

(x^{\frac{7}{8} })^6

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Answer:

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Step-by-step explanation:

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