All categories

2 years ago

A lecturer wants to divide a class of 18 students into 3 groups, each of 6 students, to do 3 different statistical projects.

Mathematics

1 answer:

Evgen [1.6K]2 years ago

8 0

Answer:

<h3>The lecturer has to divide the class into 3 groups of 6 which have 1 girl in each group to have 1 girl in each class.</h3>

(sry if this sounds a little akward didn't have enough time to type this answer out).

You might be interested in

Item 16<br> Solve the equation.<br><br> −4/9f=−3

juin [17]

The answer is f= $\frac{4}{27}$

4 0

3 years ago

Read 2 more answers

Compute the differential of surface area for the surface S described by the given parametrization.

AysviL [449]

With $S$ parameterized by

$\vec r(u,v)=\langle e^u\cos v,e^u\sin v,uv\rangle$

the surface element $\mathrm dS$ is

$\mathrm dS=\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

We have

$\dfrac{\partial\vec r}{\partial u}=\langle e^u\cos v,e^u\sin v,v\rangle$

$\dfrac{\partial\vec r}{\partial v}=\langle -e^u\sin v,e^u\cos v,u\rangle$

with cross product

$\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\langle ue^u\sin v-ve^u\cos v,-ve^u\sin v-ue^u\cos v,e^{2u}\cos^2v+e^{2u}\sin^2v\rangle$

$\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\langle e^u(u\sin v-v\cos v),-e^u(v\sin v+u\cos v),e^{2u}\rangle$

with magnitude

$\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{e^{2u}(u\sin v-v\cos v)^2+e^{2u}(v\sin v+u\cos v)^2+e^{4u}}$

$\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=e^u\sqrt{u^2+v^2+e^{2u}}$

So we have

$\mathrm dS=\boxed{e^u\sqrt{u^2+v^2+e^{2u}}\,\mathrm du\,\mathrm dv}$

8 0

3 years ago

Please help quickly!

Hunter-Best [27]

You can set up a ratio of side lengths as follows:
$\frac{63}{x} = \frac{42}{50}$

Now we just solve for x (by cross-multiplying):
$63*50 = 42x$
$x = \frac{63*50}{42} = 75$

So, x = 75 units.

4 0

4 years ago

What is the name of the angle? the letters are KLJ

elena-s [515]

Answer:

can we see the picture first pls it helps with thr answer

6 0

3 years ago

What is the circumference of the given circle in terms of pi

Lady_Fox [76]

The circumference of a circle in terms of pi is: 2πR

Where R is the circle radius.

6 0

3 years ago