54 is 120% of what number? Explain please!

2 answers:

3 0

$\displaystyle \text{54 is 120\% of what number} \\ \text{is will be = } \\ \text{of will be } \cdot \\ \text{what number will be z} \\ ---------- \\ 54=120\% \cdot z \\ \\ 54= \frac{120}{100}\cdot z \\ \\\\ z \cdot \frac{120}{100}=54 \\ \\ \\ z=54 : \frac{120}{100} \\ \\ \\ z=54 \cdot \frac{100}{120} \\ \\ \\ z= \frac{5400}{120} =45$

boyakko [2]3 years ago

3 0

54 is 120% of the number 64.8 .

If you put 120% in decimal form it's 1.2 if you do 1.2 and multiply it by 54 you get 64.8.

And to check it if you take 64.8 and divide that by 54 you get 1.2 and which is again equivalent to 120%.

I hope this helps a bit.

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Which of the following can be modeled with an exponential function? Select all that apply.

bogdanovich [222]

Answer: The answers are

(ii) The cost to attend Universal Studios increases by 1% each year,

(iii) An endangered species population is decreasing by 12% each year,

(iv) The population of a town that is growing by 5% each year.

Step-by-step explanation: We are given five functions and we are to select those which can be modelled with an exponential function.

(i) Here, height is varying with respect to time, so it will be a linear function.

(ii) Here, the cost to attend Universal Studios is increasing by 1% every year, so this will be an exponential function.

(iii) Here, an endangered species population is decreasing by 12% each year.

So, this will also be an exponential function.

(iv) Since we are considering the distance travelled by the bicycle at a constant speed of 25 mph, so this will be a linear function.

(v) Here also the population is growing by 5% each year. So, the function will be exponential.

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3 0

3 years ago

Read 2 more answers

Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi

ziro4ka [17]

Answer:

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(5.75241,0.06281)$