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3 years ago

What is the range of the given function?

Mathematics

1 answer:

asambeis [7]3 years ago

8 0

Answer:

{y | y = –7, –1, 0, 9}

Choice B is correct

Step-by-step explanation:

The range of a function y = f(x) refers to the set of y - values for all values of x for which the function is real and defined.

The set of y values from the given table is;

–7, –1, 0, 9

Therefore, the range of the given function is;

{y | y = –7, –1, 0, 9}

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Katen [24]

Answer:

wheres the picture

Step-by-step explanation:

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3 years ago

The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la

max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. 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.

A total of 15 devices will be used.

This means that $n = 15$

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that $p = 0.05$

What is the probability that one of the devices fail?

This is $P(X = 1)$

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

$P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658$

36.58% probability that one of the devices fail

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2 years ago

The axis of symmetry for the graph of the function is f(x) = 1/4 x2 +

CaHeK987 [17]

Answer:

Step-by-step explanation:

f(x) = 1/4 x²+bx+10

the derivate is : f'(x) = 1/2 x +b

you have : f'(6)=0

1/2 (6)+b=0

3+b =0

b = -3

so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1

f(x) = 1/4(x-6)²+1... the vertex form

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2 years ago

What is the volume of a pyramid with slant height 25 feet and square base with edges of 14 feet?

kolezko [41]

Check the picture below.

$\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh\qquad 
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\
------\\
B=\stackrel{14\times 14}{196}\\
h=24
\end{cases}\implies V=\cfrac{1}{3}(196)(24)$

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2 years ago

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HELP!!!brainlist<br> Drag a reason to each box to complete the flowchart proof.

exis [7]

The complete proof statement and reason for the required proof is as follows:

Statement                                    Reason

m<PNO = 45                               Given

MO                                              Given

<MNP and <PNO are a
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<MNP and <PNO are
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3 years ago

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