A laptop computer originally priced at $1,200 now sells for $1,600 what is the percent of increase

Mathematics

1 answer:

jolli1 [7]2 years ago

6 0

well, the increase from 1200 to 1600 is just 400.

if we take the 1200 to be the 100%, what is 400 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 1200&100\\ 400&x \end{array}\implies \cfrac{1200}{400}=\cfrac{100}{x}\implies 3=\cfrac{100}{x}\implies 3x=100 \\\\\\ x=\cfrac{100}{3}\implies x=33.\overline{3}$

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Given f(x) = 3x + 1, solve for x when f(x) = 7.

irakobra [83]

Answer:

f(7) = 22 or x =2

Step-by-step explanation:

f(x) = 3x + 1
f(7) = 3(7) + 1
f(7) = 21 + 1
f(7) = 22

<u>Or if the equation meant it like this:</u>

f(x) = 3x + 1
7 = 3x + 1
6 = 3x
2 = x

4 0

3 years ago

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A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard dev

zimovet [89]

Answer:

$Z = 3.33$

Step-by-step explanation:

Z-score:

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.

In this question:

$\mu = 13, \sigma = 1.2$

You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.

We have to find Z when X = 17. So

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

$Z = \frac{17 - 13}{1.2}$