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nlexa [21]
2 years ago
7

Out of a food critic, social worker, radio DJ, and a computer game designer which career would you most likely apply concepts fr

om geometry?
Mathematics
2 answers:
NeTakaya2 years ago
7 0
A computer game designer because they use all kinds of geometric shapes.
Elden [556K]2 years ago
5 0
A computer game designer.
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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 A 5 mL volume of the suspension is withdrawn.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Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows: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Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows: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A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows: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
Simplify: 2log2(8x)
dem82 [27]
Answer is 0.124. I have to right more characters
3 0
3 years ago
You use 8 cups of flour to make 24 muffins at that rate how much flour will it take to make 30 muffins
Anettt [7]
10 cups of flour total. (8x30)/24
8 0
3 years ago
Read 2 more answers
On for the hyperbola with write an equation for the hyperbola given characteristics.
galina1969 [7]

Answer:

Step-by-step explanation:

3 0
2 years ago
Help me pls!<br> find x and hurry im under a time limit
Licemer1 [7]

Answer:

x = 13

Step-by-step explanation:

Using the 48° angle, we find out that the angle opposite of angle y° is also 48° according to the corresponding angles theorem. Then, you would subtract 48 from 180 to get the degrees of angle y, which would be 132°. Next, you need to subtract 132 from 180 to get the angle measure of the (5x - 17)° angle. (180 - 132 = 48) Once you have done that, all you have to do now is figure out what value of x makes it equal to the degree measure you found by subtracting 132 from 180. I tried it with x = 13, which came out as a correct answer. So x must be 13.

(5x - 17)°

(5(13) - 17)°

(65 - 17)°

(48)°

48°

The angle equals 48° and x equals 13.

4 0
2 years ago
Read 2 more answers
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