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3 years ago

HELP please explain to me how to get this. Which of the following represents a function?

Mathematics

1 answer:

strojnjashka [21]3 years ago

7 0

Answer:

option A : graph is a function

Step-by-step explanation:

(a) option is given is a graph

For graph , the function should pass vertical line test

Draw vertical line for every value of x

The vertical lines cross only one red point at a time

So the graph is a function

(b) When each input has only one output then it is a function

in option B , input 3 has two output -5 and 0

so it is not a function

(d) in option d , input -1 has two output -11 and 5

so it is not a function

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Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet. Syrus isn't sure if the tent will

ivolga24 [154]

Answer:

the answer is 3 feet

Step-by-step explanation:

We can use the volume formula, V =1/2 bhl to find the height of the tent

the volume is $36^{3}$ . The base is 4 and the length is 6 feet

36=1/2 ⋅4⋅h⋅6

36=12h

3=h

The height of the tent is 3 feet.

7 0

3 years ago

Read 2 more answers

When calculating the circumference of a circle, sometimes the radius is given instead of the diameter. What is the relationship

Gwar [14]

The diameter is equal to the radius multiplied by 2.

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3 years ago

If there are 360 g of radioactive material with a half life (decreased by half or 50% )of 1 hour, how much of the radioactive ma

Lostsunrise [7]

After 1 hour, 360 g decays to 180 g.

After another hour (total 2 hours), 180 g decays to 90 g.

After another hour (total 3), 90 g decays to 45 g.

After one more (total 4), 45 g decays to 22.5 g.

More quickly, with a half-life of 1 hour, the 360 g of starting material decays to

(360 g) / 2⁴ = 22.5 g

In general, if the half-life is 1 hour, then after n hours, an initial amount A of this substance decays according to

A / 2ⁿ

5 0

3 years ago

A map is drawn with a scale of 1/2 inch equal to 5 actual miles.if the map distance between two cities is 8 inch's,what is the r

Sunny_sXe [5.5K]

Answer:

The real distance would be 16

Step-by-step explanation:

If the scale is 1/2, that means each distance on the map is half of what the real distance is. So 8 x 2 =16.

7 0

3 years ago

Read 2 more answers

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

4 years ago