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BARSIC [14]
2 years ago
10

Does this table represent a function? why or why not x:2,2,3,4,5 y:1,4,4,2,5

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
7 0

Answer:

No, the table does not represent a function.

Step-by-step explanation:

By definition, a function will not have 2 or more results for the same input.

The table shows two values of y for the same x:  (2,1) and (2,4).  The same input, 2, results in two different values, 1 and 4.

See attached image.

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Sam has a budget of $24 to buy ham and cheese to make sandwiches. If he bought only ham, he could buy 8 lb. If he bought only ch
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The Census Bureau's Current Population Survey shows that 28% of individuals, ages 25 and older, have completed four years of col
gizmo_the_mogwai [7]

Answer:

19.35% probability that five will have completed four years of college

Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used to solve this question.

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.

28% of individuals

This means that p = 0.25

For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

This is P(X = 5) when n = 15. So

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

P(X = 5) = C_{15,5}.(0.28)^{5}.(0.72)^{10} = 0.1935

19.35% probability that five will have completed four years of college

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Televisions are on sale for 40% OFF the original price of $600. After tax (8.5%) is applied, what is the final price?​
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First, determine what is 40% of $600. Multiple 40 (as a decimal) by 600.

0.4 x 600 = 240

Therefore, the discount is $240 off $600.

Subtract the two values to find price (before tax): 600 - 240 = 360

So the TV will cost $360 before tax.

The tax is 8.5%. Multiply 8.5 as a decimal by 360 to find the amount of tax added.

0.085 x 360 = 30.6

Add 30.6 and the price before tax to find the final price.

30.6 + 360 = 390.60

Therefore, the final price of the TV is $390.60

6 0
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