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3 years ago

Find g(x), where g(x) is the translation 7 units down of f(x)=x.

Mathematics

2 answers:

grin007 [14]3 years ago

3 0

24 because if you multiple your answer you get that

Nesterboy [21]3 years ago

3 0

G(x) = x - 7
Since g(x) is f(x), f(x) equaling 1x + 0, and 0 being the y intercept, we simply subtract 7 from zero and we get g(x)=x-7

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Graph each function. state the domain and range f(x)= {-x-2if x>0

nevsk [136]

9514 1404 393

Answer:

Step-by-step explanation:

For values of x less than zero, the graph of the function is a graph of the line

y = -x

Because the function is defined by this expression at x=0, there will be a solid dot at the end of the line there, at (0, 0).

For values of x greater than 0, the graph of the function is a graph of the line

y = -x -2

This line has the same -1 slope as before, but has a y-intercept of -2. The function is not actually defined as (0, -2), so there is an open circle at the end of the line there.

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2 years ago

Airplane wingspan; Scale of 1 in: 48 ft<br> Model: 18 in. Actual:<br> ft

Zinaida [17]

Step-by-step explanation:

48ft +18in +1in

48ft + 19in

19in - 12in= 7in

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Answer: 49ft and 7in

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3 years ago

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.972 g and a standard deviation

zalisa [80]

Answer:

P( ¯ x < 0.929 g) = 0.1867

Step-by-step explanation:

To solve this question, we need 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 $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 0.972, \sigma = 0.289, n = 36, s = \frac{0.289}{\sqrt{6}} = 0.0482$

Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting 36 cigarettes with a mean of 0.929 g or less. P( ¯ x < 0.929 g) =

This is the pvalue of Z when X = 0.929. So

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

By the Central Limit Theorem

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