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3 years ago

Find the missing measurement

Mathematics

1 answer:

Kipish [7]3 years ago

8 0

9514 1404 393

Answer:

4.2 km

Step-by-step explanation:

The altitude of the triangle can be found using the triangle area formula:

A = 1/2bh

22.7 km² = 1/2(10.8 km)h

h = (22.7 km²)/(5.4 km) ≈ 4.2037... km

The missing measurement is about 4.2 km.

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Suppose that an airline overbooks seats on their flights. In particular, it sells 300 tickets for a flight when there are only 2

vladimir1956 [14]

Using the normal approximation to the binomial, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.
The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

In this problem:

15% do not show up, so 100 - 15 = 85% show up, which means that $p = 0.85$ .
300 tickets are sold, hence $n = 300$ .

The mean and the standard deviation are given by:

$\mu = np = 300(0.85) = 255$

$\sigma = \sqrt{np(1-p)} = \sqrt{300(0.85)(0.15)} = 6.185$

The probability that we will have enough seats for everyone who shows up is the probability of at most 270 people showing up, which, using continuity correction, is $P(X \leq 270 + 0.5) = P(X \leq 270.5)$ , which is the p-value of Z when X = 270.5.

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

$Z = \frac{270.5 - 255}{6.185}$

$Z = 2.51$

$Z = 2.51$ has a p-value of 0.994.

0.994 = 99.4% probability that we will have enough seats for everyone who shows up.

A similar problem is given at brainly.com/question/24261244

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2 years ago

2 thirds minus 7 over 12

Vladimir79 [104]

Find LCD. LCD is 12.
2×4
3×4
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7 0

3 years ago

Read 2 more answers

In a poll conducted before a Massachusetts city's mayoral election, 134 of 420 randomly chosen likely voters indicated that they

Nezavi [6.7K]

Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

<h3>What is a confidence interval?</h3>

It is given by the sample proportion plus/minus the margin of error, and a x% confidence interval means that we are x% sure the population proportion is in the interval.

134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:

p = 134/420 = 0.319

The margin of error for the statistic is 0.045, hence:

0.319 - 0.045 = 0.274

0.319 + 0.045 = 0.364

The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

More can be learned about confidence interval concepts at brainly.com/question/25890103

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2 years ago

Write an equation in slope intercept form that goes through (-1,6) and (3,-2)

pochemuha

<h2>Answer:</h2>

First, we need to use slope formula* to find the slope.

$m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2$