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2 years ago

Which set of ordered pairs represents a function?

Mathematics

1 answer:

frosja888 [35]2 years ago

6 0

The correct is:

$[(-9,3),\:(-5,1),\:(7,-5),\:(4,3)]$

The definition of a function is that for every value of $x$ we get one from $y$ .

In the first appears $(-6,1)$ y $(-6,-7)$ , it is not a function, since it does not meet the definition given above, there can only be one value for x, if there are $2$ or more, called relation.

In 2 repeat: $(7,-6)$ and $(7,0)$

In 3 repeat: $(1,-3)$ and $(1,0)$

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A coordinate plane with a line passing through (0, negative 4) and (2, 0). What is the equation of the graphed line written in s

Hoochie [10]

Answer:

d) The equation of the line passing through the points

$y = \frac{-x}{2} - 4$

Step-by-step explanation:

Step(i):-

Given points are ( 0, -4) and (2 ,0)

slope of the line

$m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{2-0}{0-4} = \frac{-2}{4}= \frac{-1}{2}$

Step(ii):-

The equation of the line passing through the point ( 0,-4) and having slope

$m = \frac{-1}{2}$

$y - y_{1} = m ( x - x_{1} )$

$y - (-4) = \frac{-1}{2} ( x - 0 )$

2 ( y +4) = -x

2 y + 8 = -x

2 y = - x - 8

$y = \frac{-x}{2} - \frac{8}{2}$

$y = \frac{-x}{2} - 4$

Final answer:-

The equation of the line passing through the points

$y = \frac{-x}{2} - 4$

5 0

2 years ago

Read 2 more answers

5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). Th

xz_007 [3.2K]

Answer:

The probability that X is between 1.48 and 15.56 is $P(1.48 \leq X \leq 15.56) = 0.919$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that $\mu = 8, \sigma = 4$

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

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

$Z = \frac{15.56 - 8}{4}$

$Z = 1.89$

$Z = 1.89$ has a pvalue of 0.9706

X = 1.48

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

$Z = \frac{1.48 - 8}{4}$

$Z = -1.63$

$Z = -1.63$ has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

$P(1.48 \leq X \leq 15.56) = 0.919$

The probability that X is between 1.48 and 15.56 is $P(1.48 \leq X \leq 15.56) = 0.919$

5 0

2 years ago

The ratio of chairs to tables in a classroom is 5:1 Which statement must be true? A There are 5 chairs and 1 table. B There are

qaws [65]

Answer:

Step-by-step explanation

5:1 means for every 1 table their is 5 chairs.

And for every 5 chairs there is 1 table.

8 0

2 years ago

What would I to the 8th power be?

FromTheMoon [43]

I think it'd be 1 because well all you are doing is multiplying 1, 8 times. That is only if you meant the I to be 1.

5 0

2 years ago

An ecological group suspects tuna are consuming dangerous levels of copper in a region of the world. Dangerous levels of copper

Mademuasel [1]

Answer:

Step-by-step explanation:

A) From the stem-leaf plot, we see that out of 21 tunas, 5 have dangerous levels of copper since the levels go beyond 5.7 parts per million. The required proportion is 5/21=0.2381

B) Given the sample mean is {x}=4.77, sample standard deviation s=1.16 and the sample size is n=21.

Since the population standard deviation is not known, we use t-distribution.

So the 98% CI for mean is

4.77 ± t{1-0.02 /2,20} x 1.16/sqrt(21) = (4.13, 5.41)}

We are sure with 98% confidence the true copper level (in parts per million) lies in the interval (4.13, 5.41)

8 0

2 years ago