All categories

3 years ago

You are running an experiment in class where you draw colored marbles out of a bag. There are

Mathematics

1 answer:

MaRussiya [10]3 years ago

5 0

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

$First = 8\ marbles$

$Second = 8\ marbles$

$Third= 8\ marbles$

$Fourth = 8\ marbles$

$Fifth = 8\ marbles$

Total number of ways is then calculated as:

$Total = 8 * 8 * 8 * 8 * 8$

$Total = 32768$

You might be interested in

Together Louisa and kill scored more than 30 points in the basketball game. If Kill scored 12 points how many points P did Louis

Romashka-Z-Leto [24]

Attached the solution with work shown.

8 0

3 years ago

Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)

vekshin1

$\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}$

$\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )$

5 0

3 years ago

71 to the nearest tenth

xeze [42]

Answer:

ft76d956

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Chloe wants to cut a 37 in. piece of ribbon into three pieces. The second piece is to be 2 in. longer than the first, and the th

valentinak56 [21]

1st piece = x

2nd piece = x+2

3rd piece = x+2+3 = x+5

37 = x +x+2 + x+5 =

37 = 3x+7

30=3x

x = 30/3 = 10

1st piece = 10 inches

2nd piece = 10+2 = 12 inches

3rd piece = 10+5 = 15 inches

7 0

3 years ago

How do you solve this?

masha68 [24]

Here's what i found online:

a/3+4=6

We simplify the equation to the form, which is simple to understand
a/3+4=6

Simplifying:
 + 0.333333333333a+4=6

We move all terms containing a to the left and all other terms to the right.
 + 0.333333333333a=+6-4

We simplify left and right side of the equation.
 + 0.333333333333a=+2

We divide both sides of the equation by 0.333333333333 to get a.
a=6

Hope this helped :-)

4 0

3 years ago