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bekas [8.4K]
3 years ago
12

Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the es

timated and actual products compare?
Mathematics
2 answers:
Monica [59]3 years ago
5 0

estimate the the nearest half....

5/8....it is closer to 4/8(which is 1/2) then it is to 8/8(which is 1)...so we will round 5/8 to 1/2

8/9....it is closer to 9/9 (which is 1) then it is to 4.5/9 (which is half)...so we will round 8/9 to 1

" the product " means multiply

so 1 * 1/2 = 1/2 (or 0.50) <== estimate

actual : 5/8 * 8/9 = 5/9 (or 0.55) <== actual

larisa86 [58]3 years ago
3 0

Answer:

0.5 is the estimated product. 0.55 is the actual product.

Step-by-step explanation:

Rounding to the nearest half means suppose we have 0.6, it is closer to 0.5 than 1, so we round up 0.6 to 0.5.

5/8 is equal to 0.625, we will estimate it to 0.5.

8/9 is approximateply equal to 0.89, we will estimate to 1.

Calculate the product when estimated.

0.5 × 1 = 0.5

Calculate the actual product.

5/8 × 8/9 = 0.55

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Answer:

<em></em>

<em>The team must win 2 games to have a win : loss ratio o 2.</em>

Step-by-step explanation:

  • <u>Ratio win : loss, r</u>:

       r = total wins / total losses

       

  • <u>Total wins, Tw</u>:

        Call n the number of new wins:

        Tw =number of wins until so far + number of new win = 6 + n

  • <u>Total losses, Tl</u>:

        Tl = number of losses so far + number of new losses = 4 + 0 = 4

  • <u>Target ratio</u>:

        r = 2 ⇒ Tw / Tl = (6 + n) / 4 = 2

Solve for n:

  • (6 + n ) = 4 × 2
  • 6 + n = 8
  • n = 8 - 6
  • n = 2

Hence,<em> the team must win 6 more games.</em>

  • <u>Verification</u>: (6 + 2 ) / 4 = 8 / 4 = 2, which is the target ratio.

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Answer:

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This is a weighted average question. You are going to "weight" each course by the number of credits it is worth and then divide by the total number of credits. In other words, you are going to multiply each grade (A=4, B=3) by the number of credits attached to that grade. This will ensure that the courses that have more credits count more in the overall average. Then you are going to divide by the total number of credits to get the overall GPA.

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