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lisabon 2012 [21]
3 years ago
14

What is the relationship between the ratios? 10/24 and 5/12 Drag and drop to complete the statement.

Mathematics
2 answers:
Temka [501]3 years ago
8 0
The ratios are equal

If you divide the first ratio (10/24) by 2 you get 5/12 which is equal to the second ratio

Thus the ratios are proportional

I hope this helps!
IRISSAK [1]3 years ago
6 0
They're actually the same ratio. If you simplify 10/24 by dividing both by two, it is 5/12. Hope this helps!
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The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probab
kolezko [41]

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable <em>X</em> thus follows a Poisson distribution with parameter, <em>λ</em> = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.  

The mean of the approximated distribution of X is:

μ = λ  = 250

The standard deviation of the approximated distribution of X is:

σ = √λ  = √250 = 15.8114

Thus, X\sim N(250, 250)

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

P(235

                             =P(-0.95

Thus, the value of P (235 < <em>X</em> < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.28

Thus, the value of P(48.

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.40

Thus, the value of P(48.

(d)

Let the sample size be <em>n</em>.

P(48

                             0.95=P(-z

The value of <em>z</em> for this probability is,

<em>z</em> = 1.96

Compute the value of <em>n</em> as follows:

z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241

Thus, the sample selected must be of size 240.

5 0
3 years ago
In parallelogram LMNP if PQ=21 find QM.
Simora [160]

Answer:

QM = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

QM = PQ = 21

8 0
3 years ago
Help plz if you can fast...ish, yeah..
zavuch27 [327]

C

I think this is the right answer

3 0
3 years ago
Please help, and show work if you can!! :))
dmitriy555 [2]

Answer:

Step-by-step explanation:

ΔABD ≅ ΔCBD .

So AD = DC

8x - 4 = 3x + 1       {add 4 to both sides}

     8x = 3x + 1 + 4

     8x = 3x + 5 {subtract 3s from both sides}

  8x - 3x= 5

        5x = 5 {divide both sides by 5}

        x = 5/5

x = 1

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3 years ago
Jordan invests £700 into his bank account.
bearhunter [10]

Answer:

Jordan will have $ 910.00 after 3 years

Step-by-step explanation

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2 years ago
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