All categories

3 years ago

Which answer choice do I choose?

Mathematics

1 answer:

Ratling [72]3 years ago

3 0

The second answer is correct because in order for the ordered pairs to represent a function, there can only be 1 y value for every x value. The second option has 2 different y values for x = 3 so it is not a function.
The answer is the second option.

You might be interested in

2. What is the domain of the function shown below?

suter [353]

Answer:

Option A is the correct answer

Step-by-step explanation:

$- 1 \leqslant x \leqslant 6$

4 0

3 years ago

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

romanna [79]

Answer:

Step-by-step explanation:

3 0

3 years ago

Raul is paid $586.32 biweekly. What is his yearly salary?

ludmilkaskok [199]

DUDE yo what is up he is paid 45.12

8 0

4 years ago

Read 2 more answers

During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the

melomori [17]

Answer:

a) The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Let X the random variable of interest, on this case we know that:

$X \sim Binom(n=80, p=0.613)$

b) $\mu = n*p = 80*0.613= 49.04$

$\sigma = \sqrt{np(1-p)}= \sqrt{80*0.613*(1-0.613)}= 4.356$

c) For this case we can use the following excel code:

"=BINOM.DIST(60,80,0.613,FALSE)"

And we got 0.00355

d) $P(X>50) 1-P(X \leq 50)$

And we can use the following excel code:

"=1-BINOM.DIST(50,80,0.613,TRUE)"

And we got 0.3718

Step-by-step explanation:

Assuming the following questions:

a) What is the probability distirbution for X?

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Let X the random variable of interest, on this case we know that:

$X \sim Binom(n=80, p=0.613)$

b) Using formula calculate the mean and standard deviation of X

By properties we have:

$\mu = n*p = 80*0.613= 49.04$

$\sigma = \sqrt{np(1-p)}= \sqrt{80*0.613*(1-0.613)}= 4.356$

c) Use your calculator to find the probability that DeAndre scored with 60 of these shots

For this case we can use the following excel code:

"=BINOM.DIST(60,80,0.613,FALSE)"

And we got 0.00355

d) Find the probability that DeAndre scores with more than 50 of these shots

We want this probability:

$P(X>50) 1-P(X \leq 50)$

And we can use the following excel code:

"=1-BINOM.DIST(50,80,0.613,TRUE)"

And we got 0.3718

8 0

3 years ago

To prove that ΔDEF ≅ ΔDGF by SAS, what additional information is needed?

bearhunter [10]

Given: In ΔDEF and ΔDGF, Side DF is common.

To prove congruent of the triangle, we must require the minimum three conditions; like two sides and one angle of one triangle should be equal to the other triangle. OR Three sides of one triangle should be equal to the other triangle. OR Two angles and one side of one triangle should be equal to the other triangle. etc.

As per given question, to prove congruent of given triangles by SAS property then we should have given two sides and one angle of one triangle should be equal to the other triangle as additional information.

Since, In ΔDEF and ΔDGF, Side DF is common. So, we should require only one side and one angle that should be equal to another triangle.

8 0

4 years ago

Read 2 more answers