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scZoUnD [109]
3 years ago
15

A bag of marbles contains 3 red marbles, 4 blue marbles, and 6 green marbles. If two are pulled out without replacement, find th

e probability of getting one red and one blue marble.(can you show the work so I can see what to do and how to get the answer)
Mathematics
1 answer:
NISA [10]3 years ago
8 0
3/13 for the red and 4/13 for the blue. The denominator is how many marbles in total there are and the numerator is how many of that color there are.
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Multiply.
Crank
The main rules that we use here are :

i) \sqrt{a \cdot b}=  \sqrt{a} \cdot \sqrt{b} for nonnegative values a and b.

ii) \sqrt{a} \cdot  \sqrt{a} =a.


Thus, first 'decompose' the numbers in the radicals into prime factors:

4 \sqrt{3} \cdot 10 \cdot  \sqrt{2\cdot2\cdot3}\cdot  \sqrt{2\cdot 3}\cdot  \sqrt{2}..

By rule (i) we write:

4 \sqrt{3} \cdot 10 \cdot \sqrt{2}\cdot \sqrt{2}\cdot \sqrt{\cdot3}\cdot \sqrt{2} \cdot  \sqrt{3} \cdot \sqrt{2}.

We can collect these terms as follows:

40 \sqrt{3}\cdot (\sqrt{3}\cdot \sqrt{3}) \cdot (\sqrt{2}\cdot \sqrt{2}) \cdot( \sqrt{2} \cdot \sqrt{2}), and by rule (ii) we have:

40 \sqrt{3}\cdot 3 \cdot 2 \cdot2=40\cdot12\cdot \sqrt{3}=480 \sqrt{3}.


Answer: 480 \sqrt{3}.
8 0
3 years ago
What’s the measure of the angle theta?
11111nata11111 [884]

Answer:

∅ = 50°

Step-by-step explanation:

YOU NEED A CALCULATOR TO SOLVE THIS!

You need to use Law of Sines

\frac{a}{sinA} =\frac{b}{sinB} = \frac{c}{sinC}

Here you will be doing \frac{a}{sinA} =\frac{c}{sinC}

a and c are the lengths, while A and C are the angles

\frac{3.46}{sinA} = \frac{2.54}{sin43} you want to get the denominators out from underneath so multiply both sides by sinA and sin43

3.46sin43 = 2.54sinA

Now you want to get sinA alone so divide both sides by 2.54

\frac{3.46sin43}{2.54} = sinA now get A alone

sin^{-1} (\frac{3.46sin43}{2.54}) = A put that into the calculator

49.61741033 = A

7 0
3 years ago
Jimmy has a diecast metal car that is a scale model of an actual race car. If the actual length of the car is 10 feet 6 inches a
kirill115 [55]
The scale factor would be -8 because...

126 inches / 7 inches = 8 inches. 

Because the car is bigger than the scale, it would be a negative scale factor.
8 0
3 years ago
What is the missing reason for line 5 in this proof?
Molodets [167]
Line 5 shows the division property of equality. 

The division property of equality states that you can divide both sides of the equation by the same number and the equation remains the same. This equation is being divided by 4 on both sides.
5 0
3 years ago
Marcel made an error when he used the distributive property to solve the problem shown. Which sentence describes the error?
BigorU [14]
A.In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10.

correct:
90(10 - 12) = 90 · 10 - 90 · 12 or 90(10 - 12) = 90 · (-2)
7 0
3 years ago
Read 2 more answers
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