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3 years ago

23. Cynthia used some of the ordered pairs from the set below to make a new set.

Mathematics

1 answer:

tangare [24]3 years ago

3 0

Answer:

(5,4), (2, -7), (4, -3)

Step-by-step explanation:

The first option is (-2,5), (7,2), (5, 4).

The domain for this pair of ordered pairs is {-2,5,7}

The second set is (5,4), (2, -7), (4, -3)

The domain is {2,4,5}

The third set is (2, -7), (4, -3), (-2,5), (5, 4)

The domain is {-2,2,4,5}

The fourth set is (4,-3), (-2,5), (5,4), (7,2)

The domain is {-2,4,5,7}

Therefore the correct choice is the second option

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Problem PageQuestion A Web music store offers two versions of a popular song. The size of the standard version is 2.6 megabytes

dalvyx [7]

Answer:

There were 210 downloads of the standard version.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of downloads of the standard version.

y is the number of downloads of the high-quality version.

The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.2 MB. The total size downloaded for the two versions was 4074 MB.

This means that:

$2.6x + 4.2y = 4074$

Yesterday, the high-quality version was downloaded four times as often as the standard version.

This means that $y = 4x$

How many downloads of the standard version were there?

This is x.

$2.6x + 4.2y = 4074$

Since $y = 4x$

$2.6x + 4.2*4x = 4074$

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$x = \frac{4074}{19.4}$

$x = 210$

There were 210 downloads of the standard version.

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3 years ago

Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fe

insens350 [35]

The equation for C in terms of t,t, representing the total cost of the gym membership over tt months is C = 150 + 50t

<h3>Equation</h3>

There are three basic types of equation in mathematics. Namely:

Linear equations
Quadratic equations
Simultaneous equations

Monthly fee = $50
One-time joining fee = $150
Total cost = C
Number of months = t

C = 150 + 50t

Therefore, the equation for C in terms of t,t, representing the total cost of the gym membership over tt months is C = 150 + 50t

Learn more about equations:

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2 years ago

A fruit stand has to decide what to charge for their produce. They need $10 for 44 apples and 44 oranges. They also need $15 for

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Step-by-step explanation:

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We have been given that a fruit stand need $10 for 4 apples and 4 oranges. We can represent this information as:

$4x+4y=10...(1)$

We are also told that they need $15 for 6 apples and 6 oranges. We can represent this information as:

$6x+6y=15...(2)$

Therefore, our desired system of equations will be:

$4x+4y=10...(1)$

$6x+6y=15...(2)$

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4 years ago

g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose

Nuetrik [128]

Answer:

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

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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:

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

Step-by-step explanation:

Previous concepts

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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:

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

Solution to the problem

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

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:

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

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3 years ago

What fraction of 1 pint is 1 cup

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3 years ago