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mario62 [17]
3 years ago
12

I need this question for unit test

Mathematics
1 answer:
krek1111 [17]3 years ago
3 0
The answer is this:
A. (6,3)
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storchak [24]
567 is the answer to your question
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The length of a rectangular field is 6 metres longer than its width. If the area of the field is 72 square metres, What are the
True [87]

Answer:

Let's call the length of the field "l", and the width of the field "w".

If the area of the field is 72 square meters, then we have:

l x w = 72

And if the length is 6 meters longer than the width, we have:

l = w+6

So looking at the first equation (l x w = 72), we can substitute the l for a w+6.

And we obtain:

(w+6) x (w) = 72

Which simplifies to w^2 + 6w = 72.

This quadratic equation is pretty easy to solve, you just need to factor it.

w^2 + 6w - 72 = 0

(w-6)(w+12)

This leaves the roots of the  quadratic equation to be 6 and -12, but in this case, a width of -12 wouldn't make sense.

So, the width of the rectangular field is 6, and the length of the field is 12.

Let me know if this helps!

5 0
3 years ago
Select the correct answer.
vagabundo [1.1K]
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5 0
3 years ago
Help..... pls........
Serga [27]

Answer:

2/9 is the probability.

Step-by-step explanation:

Hope's this helps.

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Scores for a common standardized college aptitude test are normally distributed with a mean of 493 and a standard deviation of 9
Tomtit [17]

Answer:

34.01% probability that his score is at least 532.1.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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 problem, we have that:

\mu = 493, \sigma = 95

If 1 of the men is randomly selected, find the probability that his score is at least 532.1.

This is 1 subtracted by the pvalue of Z when X = 532.1. So

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

Z = \frac{532.1 - 493}{95}

Z = 0.41

Z = 0.41 has a pvalue of 0.6591

1 - 0.6591 = 0.3409

34.01% probability that his score is at least 532.1.

3 0
3 years ago
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