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lozanna [386]
3 years ago
7

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

19.4x = 4074

x = \frac{4074}{19.4}

x = 210

There were 210 downloads of the standard version.

8 0
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:

brainly.com/question/2972832

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5 0
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:

Let x be the price of an apple and y be the price of an orange.

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)


4 0
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

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!}

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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!}  

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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<span>The answer is that the fraction of 1/2 pint is 1 cup. To solve this you must know the equivalence between pints and cups, and use the notion of proportions. Two cups equal one pint. Then you can state this proportion: 1 pint / 2 cups = x pint / 1 cup. When you solve for x you get: x = 1/2. Which means that 1 cup is 1/2 of 1 pint. </span>
8 0
3 years ago
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