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aleksandr82 [10.1K]
2 years ago
11

Solve 6 2/3 -1 1/2+4 1/6​

Mathematics
1 answer:
Tju [1.3M]2 years ago
8 0

Answer:

9 1/3

Step-by-step explanation:

Make 2/3 , 1/2 , & 1/6 have the same denominator. 6 is the least common multiple for all 3 fractions.

2/3 gets multiplied by 2/2

1/2 gets multiplied by 3/3

1/6 stays the same

2/3 becomes 4/6

1/2 becomes 3/6

1/6 stays 1/6

Follow the order of operations from the original equation.

4/6 - 3/6 = 1/6 then 1/6 + 1/6 = 2/6

6 - 1 = 5 then 5 + 4 = 9

Simplify 2/6 to 1/3

Remember to add 1/3 back to 9 making it 9 1/3

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3 years ago
At a large automobile dealership, you take a random sample of 35 cars and determine that the average cost is $34,330. Which stat
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3 years ago
One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)
Arada [10]

Answer:

Ron's ERA has a z-score of -2.03.

Karla's ERA has a z-score of -1.86.

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.

Ron

ERA of 3.06, so X = 3.06

For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that \mu = 5.086, \sigma = 0.998

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.06 - 5.086}{0.998}

Z = -2.03

Ron's ERA has a z-score of -2.03.

Karla

ERA of 3.28, so X = 3.28

For  the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that \mu = 4.316, \sigma = 0.558

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.28 - 4.316}{0.558}

Z = -1.86

Karla's ERA has a z-score of -1.86.

Which player had the better year relative to their peers, Ron or Karla?

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

5 0
3 years ago
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sergey [27]
<span>      r+5                 </span><span>r^2+4r-21
</span><span>-------------- /   --------------------
r^2+5r-14               </span><span>r-2

</span>          r+5                     r-2
= --------------  x   --------------------
    r^2+5r-14           r^2+4r-21

          r+5                     r-2
= --------------  x   --------------------
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          r+5                     
= -----------------
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rjkz [21]

Answer:

P-l/2 = w

Step-by-step explanation:

First you divide both sides by 2 then you subtract L from both sides leaving you with P minus L / 2 equals W.

7 0
3 years ago
Read 2 more answers
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