the number y of oranges is used to make c pints of orange juice if represented by the equation y=8x. Graph the equation

Does this graph represent a function? Why or why not?

artcher [175]

Answer:

Yes, this graph represents a function.

Functions can have a maximum of one y-value for every x-value. On a graph, this means it passes the vertical line test.

Step-by-step explanation:

The vertical line test is when a vertical line is passed though the graph. If at any point the vertical line touch more than one point on the graph, the graph is not a function. Vertical line test is also known as VLT.

6 0

3 years ago

A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th

baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

$p = 0.553, n = 10$

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

In which

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

$P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003$

$P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039$

$P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219$

$P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724$

$P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567$

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552$

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0

3 years ago

Jay and Alex have a total of 77 toy cars between them. Jay has 20% more than Alex. How many toy cars do they each have?

Ann [662]

Answer:

0.1

Step-by-step explanation:

100% - 20% = 0

77% - 20% = 0

100% - 77% = 0.1

8 0

2 years ago

Read the problems and and write the word that indicates an equation or inequality and decide whether an equation or inequality i

Gnoma [55]

Answer:

Word/phrase : Equation

Equation:4x + 2 = $30

He can afford to buy 7 books without spending more than his gift certificate amount

Step-by-step explanation:

Step 1

We find the equation

Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2.

Hence,

$4 × x + $2 = $30

Where x = number of books that he can buy

4x + 2 = $30

Step 2

We solve for x

4x + 2 = 30

4x = 30 - 2

4x = 28

x = 28/4

x = 7

Hence, Brett can buy 7 books

Equation: 4x + 2 = $30

Word/phrase : Equation

He can afford to buy 7 books without spending more than his gift certificate amount

8 0

3 years ago

The graph of a system of equations is

Dovator [93]

Answer:

The system has no solution.

Step-by-step explanation:

In order for the system to have a solution, both graphs must have an intercept to each others. We see in the picture that both graphs are parallel and do not have any interceptions which we don't know the solution to the system.

That means if graphs are parallel and have no interceptions, there are no solutions. The system of equations are for finding the interceptions of both graphs. But of course! Parallel lines do not intercept.

If you have any questions, feel free to ask.

6 0

3 years ago