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Vinil7 [7]
3 years ago
10

If y varies inversely as x and y is 6 when x is 12 what is x when y is 14.4

Mathematics
2 answers:
grin007 [14]3 years ago
8 0
1. To solve this problem and calculate the value of <span> "x" when "y" is 14.4, you must apply the following formulla:
 
 y=k/x
 
 k: </span> It is the constant of variation or constant of proportionality.
 
 2. So, keeping this on mind, you must calculate the value o the constant of variation "k", with the values given in the problem. Then, you have:
 
 k=yx
 k=(6)(12)
 k=32
 
 3. Now, you can apply the equation y=k/x and clear the "x" to find its value:
 
 yx=k
 x=k/y
 
 k=32
 y=14.4
 
 4. Then, you have:
 
 x=32/14.4
 
 5. Therefore, the answer is:
 
 x=2.22
notsponge [240]3 years ago
8 0

the answer is option A. 5

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Answer:

The number of standard deviations from $1,158 to $1,360 is 1.68.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 1158, \sigma = 120

The number of standard deviations from $1,158 to $1,360 is:

This is Z when X = 1360. So

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

Z = \frac{1360 - 1158}{120}

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The number of standard deviations from $1,158 to $1,360 is 1.68.

3 0
2 years ago
26 is 65% of what number?
Bezzdna [24]

Answer:

40

Step-by-step explanation:

26 is 65% of 40

6 0
2 years ago
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Anna007 [38]

Answer:

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SILUTION..

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AS WE HAVE TO GET DENOMINATOR IN FORM OF1,10,100,1000,..SO ON.

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