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lawyer [7]
3 years ago
8

Find the area **Number Only** Thanks

Mathematics
1 answer:
Contact [7]3 years ago
7 0

Answer:

a=12

Step-by-step explanation:

A=b*h/2

a=4.8mi*5mi/2

a=24/2

a=12

hope this helps

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An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0
zmey [24]

Answer:

96.33% probability that everyone who appears for the flight will get a seat

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

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)}.

In this problem, we have that:

n = 105, p = 0.9

So

\mu = E(X) = np = 105*0.9 = 94.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{105*0.9*0.1} = 3.07

What is the probability that everyone who appears for the flight will get a seat

100 or less people appearing to the flight, which is the pvalue of Z when X = 100. So

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

Z = \frac{100 - 94.5}{3.07}

Z = 1.79

Z = 1.79 has a pvalue of 0.9633

96.33% probability that everyone who appears for the flight will get a seat

7 0
2 years ago
True or false: Every kite is a rhombus, but not every rhombus is a kite.
horsena [70]

This is false. Kites can be shaped in many different ways so not all kites are rhombuses. Also, even the kites that look like rhombuses may not be rhombuses. Most kites have 2 pairs of sides with the same length. But, in order to be a rhombus all the sides have to be the same length but not all sides are the same length on a typical kite.

7 0
3 years ago
what is the equation of the line shown below? Give your answer in slope-intercept form. (5,4) (-4,-5)
Lynna [10]

Answer:

y = 1x + -1 or y = x - 1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the vertex of the parabola? Assume p > 0.​
Len [333]

Answer:

The vertex for parabola y²=4ax is (0,0)

and for (y-k) ²= 4a(x+h), vertex is (h, k).

But you have not given the equation of parabola in the equation.

3 0
3 years ago
7x-10=3x+14 whats the answer
ivann1987 [24]
X=6 is the answer to your question
6 0
3 years ago
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