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2 years ago

The domain consists of all the __-values. x y

Mathematics

1 answer:

Tresset [83]2 years ago

3 0

Answer:

The answer is:

The domain consists of all the x-values

Step-by-step explanation:

The domain is the set of possible input values

The domain is the set of all possible values of the independent variable

In any ordered pair (x , y), x is the input (independent)

The domain is all values of x which make the function defined

The range is the set of possible output values

The range is the complete set of all possible resulting values of the dependent variable

In any ordered pair (x , y), y is the out put (dependent)

The range is all values of y which corresponding to x

The answer is:

The domain consists of all the x-values

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At a certain airport, 75% of the flights arrive on time. A sample of 10 flights is studied. Assume each flight is independent of

mars1129 [50]

Answer:

52.56% probability that eight or more of the flights will arrive on time.

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it is on time, or it is not. The probability of a flight being on time is independent from other flights. So we use the binomial probability distribution to solve this question.]

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

At a certain airport, 75% of the flights arrive on time.

This means that $p = 0.75$

A sample of 10 flights is studied.

This means that $n = 10$

Find the probability that eight or more of the flights will arrive on time.

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{10,8}.(0.75)^{8}.(0.25)^{2} = 0.2816$

$P(X = 9) = C_{10,9}.(0.75)^{9}.(0.25)^{1} = 0.1877$

$P(X = 10) = C_{10,10}.(0.75)^{10}.(0.25)^{0} = 0.0563$

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.2816 + 0.1877 + 0.0563 = 0.5256$

52.56% probability that eight or more of the flights will arrive on time.

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Use an inequality symbol (<, >, =, ≥) to compare −17 ____ −1

iragen [17]

-17 is less than -1 so you will use the less than sign (<)

Answer: 17 __<__-1

< is less than
> is greater than
= is equal to
<span>≥ is greater than or equal to</span>

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Joshua is doing a chemistry experiment that calls for a 30% solution of copper sulfate. He has 40ml of 25% solution. How many mi

Sholpan [36]

Answer:

6 2/3 mL

Step-by-step explanation:

Multiply thru by 100 to get:

1000 + 60x = 30*40 + 30x

30x = 200

x = 6 2/3 mL (amt. of 60% solution needed in the mixture)