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Artyom0805 [142]
3 years ago
11

For right triangle , triangle rst shown below, what is tan r

Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0

You know, it would really be helpful if we could have a peek at
the picture that's "shown below".  Just a peek would be enough. 
Right now, the only thing I see below is my dog.

Now ... follow me here ... if you're looking for tan(r), then 'r' is
one of the angles in the triangle, and I'm guessing that all three
of those letters are angles.

tan(r)  is going to be the ratio of two of the sides ... I mean

                             (one side) divided by (another side).

There's no way to go any farther, because you haven't given us
any names for the sides, or any way to describe them.

Betcha the names of the sides are on that picture that's supposed
to be shown below.

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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 A 5 mL volume of the suspension is withdrawn.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Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows: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Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows: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A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows: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
What is the circumference of a circle with a diameter of 8 feet? Use 3.14 for ON d=80 O A. 25.12 ft B. 12.56 ft C. 50.24 ft D. 1
Andrew [12]

Answer:

25.12

Step-by-step explanation:

Formula: 2πr, r = d/2

Given: π = 3.14, d = 8

Sub: r = 8/2

Simplify: r = 4

Sub: 2(3.14)(4)

Simplify: 6.28(4)

Solve: 25.12

8 0
3 years ago
Sophia manages a landfill. She decides to measure the rate at which trash increases in volume to fill the landfill as the number
goblinko [34]

Answer:

\frac{m^3}{h}, \frac{cm^3}{h},  \frac{km^3}{h}

Step-by-step explanation:

If you look at the objects thrown as garbage, it's a two- or three-dimensional item that takes up space and also has mass and this is a solid waste.

And the landfill that dumps such garbage is also three-dimensional.

Hence, the volume module, if the object inside is a solid, either would be

m^3,cm^4,Km^3

As household numbers rise, landfill space increases.

So,

household\ number = Proportionality\times  landfill\ space

If H represents the number of household keeps,  then it will be a sufficient unit for the purpose of Sophia that is

\frac{m^3}{h}, \frac{cm^3}{h},  \frac{km^3}{h}

7 0
3 years ago
Is y=7-3x linear or non linear
sveta [45]

Answer:

It is linear

Step-by-step explanation:

If you graphed it it would be in a strait line. You also want to make sure that you write your answer in slope intercept form (y = mx + b). Your line would have to be y = -3x + 7 to be in slope intercept form.

6 0
3 years ago
Read 2 more answers
Which is the equation of the given line?
GrogVix [38]

Answer:

y = 1

Step-by-step explanation:

The line is horizontal and goes through the y axis.

Hence the equation is y = 1 because the line stays on this point forever.

6 0
3 years ago
Read 2 more answers
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