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pickupchik [31]
3 years ago
8

A store sells rope by the meter. The equation p = .8 L represents the price: p (in dollars) of a piece of nylon rope that is L m

eters long.
How long is a piece of nylon rope that is $2.80?
Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

3.5 meters

Step-by-step explanation:

Equation: p = 0.8L

Given: p = 2.80

To find the length of a piece of nylon rope that costs $2.80, input the given value of p(2.80) into the equation and solve for L:

p = 0.8L

2.8 = 0.8L

Divide both sides by .8 to isolate L:

\frac{2.8}{0.8} =\frac{0.8L}{0.8}

3.5 = L

The length of a piece of nylon rope that costs $2.80 is 3.5 meters long.

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Scores for a civil service exam are normally distributed with a mean of 75 and a standard deviation of 6.5. To be eligible for c
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Answer:

The lowest score you can earn and still be eligible for employment is 85.6925

Step-by-step explanation:

Problems of normally distributed samples can be 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 question, we have that:

\mu = 75, \sigma = 6.5

Top 5%.

At least the 100-5 = 95th percentile.

The 95th percentile is X when Z has a pvalue of 0.95. So X when Z = 1.645.

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

1.645 = \frac{X - 75}{6.5}

X - 75 = 1.645*6.5

X = 85.6925

The lowest score you can earn and still be eligible for employment is 85.6925

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Given PQR ~ STR, find QT
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A kitten and a puppy found a sausage which is 14cm long and started eating it simultaneously from each end. The kitten is eating
julsineya [31]

It takes them 12 seconds to eat the whole sausage.

<h3>What is speed?</h3>

Speed is the rate of change of distance.

Analysis:

If kitten eats x cm, then puppy will eat 14 - x cm

speed = d/t

speed of kitten = 1/2

speed of puppy = 2/3

1/2 = x/t

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t = 2x--------1

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substitute t in equation 2

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substitute value of x in equation 1

t = 2(60 = 12 seconds.

In conclusion, it takes the both animals 12 seconds to finish the sausage.

Learn more about speed: brainly.com/question/4931057

#SPJ1

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