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tigry1 [53]
3 years ago
13

A bag contains 6 yellow marbles and 18 red. If a representative sample contains 2 yellow marbles, then how many red would you ex

pect it to have? Explain.
Mathematics
1 answer:
kramer3 years ago
3 0

Answer:

6 red marbles

Step-by-step explanation:

We must first find our multiplier since a sample represents a population (the whole thing).

6/2 = 3, so 3 * 2 = 6.

I will use the value of 6/2, aka 3 and use that as my divisor.

18/3 = 6.

Therefore, you would expect to have 6 red marbles.

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Calculus 3 chapter 16​
o-na [289]

Evaluate \vec F at \vec r :

\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k

Compute the line element d\vec r :

d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt

Simplifying the integrand, we have

\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt

Then the line integral evaluates to

\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}

3 0
2 years ago
Arwen uses an eye dropper that produces drops that has a volume of 1/8 milliliter to fill 30 milliliter test tube. How many drop
oksian1 [2.3K]
To answer this question, you need to know how many drops go into atheism test tube.

Each drop is 1/8 milliliter. The test tube is 30 milliliter.

So, divide 30 by 1/8 to see how many times 1/8 goes into 30.

30 divided by 1/8 = 30 times 8 = 240

It takes 240 drops (that's a lot!) to fill up the test tube.

Hope this helps!
4 0
3 years ago
Which graph represents a function?​
Mkey [24]
The graph that does not show Y or X
5 0
3 years ago
Starting from the same place money goes 3.5 km/hr towarde north and Bonny goes 8.5 km/hr towards south. what will be the distanc
Vesnalui [34]

Answer:D=rt

Step-by-step explanation:

6 0
3 years ago
What is 5 1/3% as a simplified fraction
NNADVOKAT [17]

16/3%

=16/300

=4/75

I hope this helps you...

8 0
2 years ago
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