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Advocard [28]
3 years ago
15

Help please?

Mathematics
2 answers:
Bezzdna [24]3 years ago
8 0

Answer: smallest

Step-by-step explanation:

the smallest angle will be opposite the shortest side, 7. Therefore, the angle measure in the middle will be opposite 13. Theorem: If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.

bulgar [2K]3 years ago
3 0

Answer: it dependes on what type of triangle it is

issaslies all are same

Step-by-step explanation:

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3 years ago
Read 2 more answers
Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 12
melamori03 [73]

Answer:

98.75% probability that every passenger who shows up can take the flight

Step-by-step explanation:

For each passenger who show up, there are only two possible outcomes. Either they can take the flight, or they do not. The probability of a passenger taking the flight is independent from other passenger. So the binomial probability distribution is used to solve this question.

However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses 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 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.

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

The probability that a passenger does not show up is 0.10:

This means that the probability of showing up is 1-0.1 = 0.9. So p = 0.9

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets

This means that n = 125

Using the approximation:

\mu = E(X) = np = 125*0.9 = 112.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{125*0.9*0.1} = 3.354

(a) What is the probability that every passenger who shows up can take the flight

This is P(X \leq 120), so this is the pvalue of Z when X = 120.

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

Z = \frac{120 - 112.5}{3.354}

Z = 2.24

Z = 2.24 has a pvalue of 0.9875

98.75% probability that every passenger who shows up can take the flight

7 0
3 years ago
Check all solutions to the equation. If there are no solutions, check "None."
Margaret [11]
X can be 4 or -4

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8 0
3 years ago
Graph the solution of this inequality on the number line.<br> 7x &gt; 35
andrezito [222]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
The numbers 1 through 9 are written in separate slips of paper, and the slips are placed into a box. Then, 4 of these slips are
Vadim26 [7]
Let's think of the problem as follows.

Write all the 4-digit numbers that can be formed using the digits from 1 to 9, without repetition, in pieces of paper, and put them in a bag. What is the probability of picking the 4-digit number 1234, among these numbers.

The connection of the 2 problems is as follows:

The 4-digit number, for example 5489, represents drawing first 5, then 4, then 8, then 9 , in the original question.

we did not allow repetition, because for example the number 8918 would represent drawing 8, then 9, then 1 then 8 (again!!), which is not possible, so we lose the connection between the problems.


So there are in total 9*8*7*6= 3024  4-digit numbers, with non-repeating digits.

One of these numbers is 1234 (representing drawing 1, then 2, then 3, then 4)

among these 3024 numbers, the probability of picking 1234 is 
\frac{1}{3024}= 0.00033


We could have solved this problem also as :

P(drawing 1, 2, 3, 4 in order)= \frac{1}{9} * \frac{1}{8} * \frac{1}{7} * \frac{1}{6} = \frac{1}{3024}

Answer:\frac{1}{3024}= 0.00033
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3 years ago
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