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pshichka [43]
2 years ago
9

Y ∝ 1 √ x If y = 4 when x = 64 find, y when x = 16

Mathematics
1 answer:
julia-pushkina [17]2 years ago
7 0

Given:

y\propto \dfrac{1}{\sqrt{x}}

y = 4 when x = 64

To find:

The value of y when x=16.

Solution:

We have,

y\propto \dfrac{1}{\sqrt{x}}

y=\dfrac{k}{\sqrt{x}}           ...(i)

Where, k is the constant of proportionality.

We have, y = 4 when x = 64.

4=\dfrac{k}{\sqrt{64}}

4=\dfrac{k}{8}

4\times 8=k

32=k

Putting k=32 in (i), we get

y=\dfrac{32}{\sqrt{x}}

Putting x=16, we get

y=\dfrac{32}{\sqrt{16}}

y=\dfrac{32}{4}

y=8

Therefore, the value of y is 8 when x=16.

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3 years ago
The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and
Olin [163]

Answer:

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 49 minutes

Standard Deviation, σ = 16 minutes

We are given that the distribution of  time an individual reads is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(no more than 30 minutes)

P( x \leq 610) = P( z \leq \displaystyle\frac{30 - 49}{16}) = P(z \leq -1.1875)

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P(x \leq 30) = 0.118 = 11.8\%

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

3 0
3 years ago
Does anyone know? <br> Can anyone help me throughout these type of questions?
ozzi
Your answer would be D you would add up all the days together then just put the clear days together to get 17/30 that then reduces to .57
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3 years ago
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I think its A

Step-by-step explanation:

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2 years ago
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=

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