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3 years ago

Plz answer both questions 15 points

Mathematics

1 answer:

Llana [10]3 years ago

3 0

When multiplying & dividing rational numbers:

If your signs are the same, your answer is positive.

If your signs are different, your answer is negative.

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Assume f(x)=-2x+8 and g(x)=3x. what is the value of (g o f)(3)

Olin [163]

Answer:

Step-by-step explanation:

(g o f)(3) = g(f(3))

We can find f(3) using its formula with x=3:

f(3) = -2·3 +8 = -6 +8 = 2

Now, we can find g(2) using its formula with x=2:

g(2) = 3·2 = 6

So, the composition value is ...

(g o f)(3) = 6

7 0

3 years ago

Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in each school d

geniusboy [140]

Answer:

The median would be 18,not enough info for the Interquartile range, and range is 10 to 28

Step-by-step explanation:

You all ready said the answers but, the interquartile range.

6 1

3 years ago

Read 2 more answers

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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .