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2 years ago

What is the range of the function f(x)=x2−3 when the domain is {1, 3, 5}?

Mathematics

1 answer:

34kurt2 years ago

3 0

Answer:

the range is {-2, 6, 22}

Step-by-step explanation:

Use " ^ " to indicate exponentiation: f(x) = x^2 - 3.

For each value in the domain {1, 3, 5}, calculate f(x) = x^2 - 3:

f(1) = 1^2 - 3 = -2

f(3) = 3^2 - 3 = 9 - 3 = 6

f(5) = 5^2 - 3 = 25 - 3 = 22

Thus, the range is {-2, 6, 22}

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According to a report, 11 people got colds for every 2000 people.

lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

$P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......$

where, n = number of trials (samples) taken = 1200 people

r = number of success = one or more people got a cold

p = probability of success which in our question is probability

that people got colds, i.e; p = $\frac{11}{2000}$ = 0.55%

Let X = Number of people in Arbalest who got a cold

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X $\geq$ 1)

P(X $\geq$ 1) = 1 - P(X = 0)

= $1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}$

= $1- (1 \times 1 \times 0.9945^{1200})$

= 0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0

3 years ago

Does 3y-x=6 have a slope of -3

inessss [21]

Answer:

Step-by-step explanation:

y=mx+b

applied to the information given:

3y=x+6,

divide both sides by 3

y=1/3x+2

slope is 1/3

8 0

3 years ago

How do you find the perimeter of a rectangle with diagonal

slamgirl [31]

All the sides of a proper rectangle are 90 degrees.
So you use sine and cosine to figure out the two different lengths of sides ( because rectangle sides are parallel). To find area you times the two sides together. To find perimeter you times the two sides by two and add them together.

5 0

2 years ago

The length of a rectangle is

Marysya12 [62]

Answer:

Area = 3x^2 +x -14 units^2

Step-by-step explanation:

Area of a rectangle is (width x height)

Area = (x-2)*(3x+7)

Area = 3x^2 +x -14

6 0

2 years ago

Bret works for a printing company. He buys 5 packs of card. Each pack of card costs £14.06 How much money does Bret pay in total

klasskru [66]

Multiply 5 and £14.06 to get £70.30 this is your answer

8 0

2 years ago