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Gnesinka [82]
3 years ago
12

Leo has $4.80 in dimes a d quarters he has 6 more dimes than quarters how many quarters does he have

Mathematics
2 answers:
Kryger [21]3 years ago
6 0

Answer:

Step-by-step explanation:

he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25

0.10d + 0.25q = 4.80

he has 6 more dimes then quarters

d = q + 6

====================

d = q + 6...so we sub q + 6 in for d, back into the other equation

0.10(q + 6) + 0.25q = 4.80

0.10q + 0.60 + 0.25q = 4.80

0.35q = 4.80 - 0.60

0.35q = 4.20

q = 4.20 / 0.35

q = 12 <====== there is 12 quarters

d = q + 6

d = 12 + 6

d = 18 <===== there is 18 dimes

Kaylis [27]3 years ago
5 0
Leo has 12 quarters in total.
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A = pi x 7^2

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A = 49/3 pi cm^2

Now, we'll find the area of the small section.

A = pi x 3^2

A = 9 pi x 120/360

A = 3pi cm^2

All that's left to do now is subtract.

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40/3 pi cm^2

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Hope this helps!

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In a recent poll, 370 people were asked if they liked dogs, and 7% said they did. Find the margin of error of this poll, at the
Dennis_Churaev [7]

Answer:

ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p represent the real population proportion of interest

\hat p=0.07 represent the estimated proportion for the sample

n=370 is the sample size required (variable of interest)

z represent the critical value for the margin of error

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.10 and \alpha/2 =0.05. And the critical value would be given by:  

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And replacing into formula (a) the values provided we got:

ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218

The margin of error on this case would be ME=0.0218

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4 years ago
PQ has endpoints P(-3,2) and Q(3,-2). Find the coordinates of the midpoint of PQ
hodyreva [135]

Answer:

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Step-by-step explanation:

For this, you need to use the midpoint formula.

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x = 0

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The answer is:

(0, 0)

6 0
1 year ago
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