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3 years ago

If you travel 280 miles in 4 hours. What is your average rate of speed ?

Mathematics

2 answers:

zlopas [31]3 years ago

7 0

70 miles per hour....

Vaselesa [24]3 years ago

4 0

Answer:

70 miles per hour

Step-by-step explanation:

We want to find the average speed. We should find the speed in miles per hour, so we must divide the miles traveled by the hours.

miles/hours

We traveled 280 miles in 4 hours.

280 miles/4 hours

Divide.

70 miles / hour

The average speed is 70 miles per hour.

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Teresa says she stacks about 7 dishes by hand every minute.

Sergio039 [100]

Answer:

line A

Step-by-step explanation:

line a on the graph correctly matches teresa's description

8 0

3 years ago

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the ai

sashaice [31]

The probability that the aircraft is overloaded is 0.6141; since this is a greater than 50% chance, the pilot should either reduce the number of passengers on the plane or require them to reduce their baggage.

The z-score for this is given by

z = (X-μ)/σ = (169-180.2)/38 = -11.2/38 = -0.29.

Using a z-table (http://www.z-table.com) we see that the probability of weights being less than this (the area to the left of this score) is 0.3859; to find the probability that the weight is greater than this (to the right), we subtract from 1:

1-0.3859 = 0.6141.

5 0

3 years ago

Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,500 houses. The subdivision was built in 1983. A sam

mihalych1998 [28]

Answer:

0.0268 = 2.68% probability that the sample average is greater than $229,500

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single house:

The mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, which means that $\mu = 228, \sigma = 8.5$