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kow [346]
2 years ago
13

HHHHHHEEEEEEELLLLLPPPPPP MEH!!! PLS ANSWER QUICKLY! Brainliest!! y is inversely proportional to square of x. Given that y=4 when

x=3, find the value of y when x=5
Mathematics
1 answer:
artcher [175]2 years ago
7 0

Answer:

y = \frac{36}{25}

Step-by-step explanation:

y ∝ \frac{1}{x^2}

=> y = \frac{k}{x^2} --------------(1)

<u><em>Now, y = 4 and x = 3. </em></u>

<em>Putting in (1)</em>

=> 4 = \frac{k}{9}

=> k = 4*9

=> k = 36

<u><em>Now, y = ?, when x = 5</em></u>

<u><em>Putting in (1)</em></u>

=> y = \frac{36}{5^2}

=> y = \frac{36}{25}

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2000

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A survey found that​ women's heights are normally distributed with mean 63.2 in. and standard deviation 2.4 in. The survey also
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Answer: 99.51%

Step-by-step explanation:

Given : A survey found that​ women's heights are normally distributed.

Population mean : \mu =63.2  \text{ inches}

Standard deviation: \sigma= 2.4\text{ inches}

Minimum height = 4ft. 9 in.=4\times12+9\text{ in.}=57\text{ in.}

Maximum height = 6ft. 2 in.=6\times12+2\text{ in.}=74\text{ in.}

Let x be the random variable that represent the women's height.

z-score : z=\dfrac{x-\mu}{\sigma}

For x=57, we have

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z=\dfrac{74-63.2}{2.4}\approx4.5

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8 0
3 years ago
If three times a number minus 2 equals 13, what is the number?
Nana76 [90]
Change the messy words into numerals
3     times          a number         minus            2           equals         13
3          ×                n                     -                 2               =               13

3n - 2 = 13
take 2 to the other side
3n - 2 + (2)  = 13 + (2)
3n = 15

Divide by 3 on either sides to isolate n
\frac{3n}{3} = \frac{15}{3}
3 and 3 cancels out

n = 5

check:
3 times 5 minus 2 equals 13
3     ×    5       -      2     =     13
15    -      2        =          13
13            =               13

The number is 5
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