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givi [52]
3 years ago
11

Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co

in does he have?
And plz answer step by step
Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

6.

Step-by-step explanation:

We can start by defining a couple things.

x = amount of nickels

y = amount of dimes

Since he has the same amount of each, we can say this.

x = y

And because we know it totals 0.90, we can say this.

0.05x + 0.10y = 0.90

then, we substitute and get this.

0.05x + 0.10x = 0.90

Simplify.

0.15x = 0.90

Divide both sides by 0.15.

x = 6

So we have 6 nickels, and they both are the same, so we have 6 dimes.

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A tree struck by lightning broke at a point 12 feet above the ground. What was the height of the tree to the nearest tenth of a
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Answer:

52.8 feets

Step-by-step explanation:

From the diagram :

The height of tree woulb be :

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Hypotenus, h cab be obtained using Pythagoras rule :

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.725.72 millimeters and a standard de
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Answer:

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

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.

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Top 5%:

X when Z has a pvalue of 0.95. So X when Z = 1.645

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