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3 years ago

What is the difference between a relation and a function?

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

Answer:

e) is the correct one

Step-by-step explanation:

A function is a set of order pairs in which the first coordinate appears only once, it is a special kind of relation. Option e) is the one matching the definition.

a) A set of order pairs is not a function, but a relation. A special kind of function which no to ordered pairs have the same second coordinate is an injective function.

b) A special kind of function in which no two ordered pairs have the same first coordinate is just a function

c) A set of ordered pairs in which no two ordered pairs have the same first coordinate is a function, not a relation. The definition of function is wrong, but a set of order pairs in which no two ordered pairs have the same first coordinate, and also no two ordered pairs have the same second coosrinate is a injective funciton.

d) The definition for relation is correct, but in the definition of funciton it is not the second coordinate, but the first one.

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A polynomial is factored using algebra tiles. What are the factors of the polynomial?

zysi [14]

Answer: the answer is B

Step-by-step explanation:

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3 years ago

A population has mean 187 and standard deviation 32. If a random sample of 64 observations is selected at random from this popul

Zina [86]

Answer:

11.51% probability that the sample average will be less than 182

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 187, \sigma = 32, n = 64, s = \frac{32}{\sqrt{64}} = 4$

What is the probability that the sample average will be less than 182

This is the pvalue of Z when X = 182. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{182 - 187}{4}$

$Z = -1.2$

$Z = -1.2$ has a pvalue of 0.1151

11.51% probability that the sample average will be less than 182

8 0

3 years ago

Please help! 3rd grade homework is hard!

Assoli18 [71]

(6×5) + (6×2) = 6×7

It works if you think about it like this:
5 sixes + 2 sixes = (5 + 2) sixes = 7 sixes

This is an example of the <em>distributive property</em>.
To put it simply, we're applying the same multiplication (×6) to two different things which are being added together (5+2).

Here's another example of the distributive property:
2×(3+4) = 2×3 + 2×4

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3 years ago

Read 2 more answers

What are the next 3 terms from the sequence Tn+1=Tn+3, T1=6

Brut [27]

Answer:

9, 12, 15

Step-by-step explanation:

Using the recursive formula and T₁ = 6 , then

T₂ = T₁ + 3 = 6 + 3 = 9

T₃ = T₂ + 3 = 9 + 3 = 12

T₄ = T₃ + 3 = 12 + 3 = 15

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3 years ago

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a_sh-v [17]

Answer:

Step-by-step explanation:

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3 years ago