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Alchen [17]
3 years ago
12

A bird's nest is 12 feet above the ground. A mole's den is 12 inches below the ground. What is the difference in height of these

two positions?
Mathematics
1 answer:
zysi [14]3 years ago
8 0

Answer:

13ft

Step-by-step explanation:

12in = 1ft the difference in height is 13ft

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What is 4 1/2 pint to quart?
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There are two pints every quarter.

So let's convert pints to quarter

   \frac{4\frac{1}{2} }{2} =\frac{\frac{9}{2} }{2} = \frac{9}{4}

There 4 1/2 pint is to 9/4 quarter.

Hope that helps!

p.s. look at my diagram to help you remember

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2 years ago
Please help me<br><br> You travel 224 miles in 4 hours. Find the unit rate.
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The unit rate I think is 6

Step-by-step explanation:

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About 12.5% of restaurant bills are incorrect. If 200 bills are selected at ran- dom, find the probability that at least 22 will
Pavel [41]

Answer:

0.7734 = 77.34% probability that at least 22 will contain an error. Probability above 50%, which means that this is likely to occur.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

About 12.5% of restaurant bills are incorrect.

This means that p = 0.125

200 bills are selected at random

This means that n = 200

Mean and standard deviation:

\mu = E(X) = np = 200*0.125 = 25

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.125*0.875} = 4.677

Find the probability that at least 22 will contain an error.

Using continuity correction, this is P(X \geq 22 - 0.5) = P(X \geq 21.5), which is 1 subtracted by the p-value of Z when X = 21.5. So

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

Z = \frac{21.5 - 25}{4.677}

Z = -0.75

Z = -0.75 has a p-value of 0.2266.

1 - 0.2266 = 0.7734

0.7734 = 77.34% probability that at least 22 will contain an error. Probability above 50%, which means that this is likely to occur.

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M=⅗ and y intercept is -6
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Answer:

y=\frac{3}{5}x-6

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Remember the slope-intercerpt form

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