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4vir4ik [10]
2 years ago
14

The town of lantana needs $14,000 for a new playground. lantana elementary school raised $5358 lantana middle school raised $283

4 and lantana high school raised 4132.
about how much more money do they need to raise?
Mathematics
1 answer:
Arada [10]2 years ago
7 0
Total money needed = $14,000
Total money collected = $5358+$2834+4132 = $12324

Additional money needed = Total money - Money collected

=> $14,000 - $12,324
=> $1,676

So they need $1676 more money to be collected
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Step-by-step explanation:

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(- 3, - 3 ) → (\frac{1}{3} × - 3, \frac{1}{3} × - 3 ) → (- 1, - 1 )

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2 years ago
At 5 feet tall, Emily casts a shadow that is 8 feet long. She is standing near a tree that casts a shadow that is 28 feet long.
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Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

We can use proportions to solve this.

Notice that Emily (5 feet tall) and her shadow (8 feet long) constitute the two legs of a right angle triangle (see attached image).

The nearby tree  (unknown height H), will also cast a shadow (28 ft long) with the same inclination as Emily does due to the unique position of the sun relative to them.

Then we can use the proportion associated with the sides of similar triangles:

\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft}

Then, we can solve for H in the equation:

\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft} \\H=\frac{28*5}{8} \,ft\\H=17.5 \.ft

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2 years ago
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IrinaVladis [17]

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Step-by-step explanation:

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Step-by-step explanation: Hope it helps

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The first part where he mentions "The distribution is skewed right" is correct. The tail on the right hand side is pulled longer than it should be, or longer compared to the left tail. "Right skew" or "skewed right" is the same as "positively skewed". They all mean the same thing.

The portion where Maurice says "This implies that the mean is less than the median" is incorrect. This is where his error is located. The reason for the error is because it should be "The mean is greater than the median" when we have right-skewed data like this.

Here's one example to see why this is the case. Consider the distribution {1,2,3,4,5}. We can see that the median is 3 since it's directly in the center. The mean is also 3 since we add up all the values and divide by 5. Symmetric data has mean = median. Now, we'll replace the '5' with something much larger to get a large outlier. Let's say we have the set {1,2,3,4,55}. The median is still 3. The outlier doesn't pull on the median. However, the mean has changed and it is (1+2+3+4+55)/5 = 65/5 = 13. The mean went from 3 to 13. Therefore, mean > median here. The mean is affected by outliers. Think of it like the outlier is pulling on the mean in a sort of magnetic way. This outlier makes the mean larger than it should be. If the outlier is extreme enough, then it sometimes makes sense to consider the trimmed mean as opposed to the regular arithmetic mean. The trimmed mean is the mean of the main cluster of values ignoring the outlier(s).

-----------------------

To recap:

If we have right skewed data, then mean > median

As you can probably guess, if we had left-skewed data, then mean < median. In symmetric data, mean = median.

4 0
2 years ago
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