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xxMikexx [17]
3 years ago
6

There are 5 red marbles and 12 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choos

ing a red marble?
Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0
So we know there are 5 red and 12 silver marbles, together making 16 marbles.

This would mean that there is a 5/17 chance of choosing a red marble.

When you do the math to convert 5/17 into a decimal, it turns into being a .29 chance.

Convert .29 into a decimal, and you know that you have a 29% chance of grabbing a red marble.

Hope this helped!

- Kathryn Irene
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g(-2) = 4 + (-6) - 2 ... add/subtract
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What is the equation of the line given the table
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Answer:

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Step-by-step explanation:

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2 years ago
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The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

5 0
2 years ago
To find the area of a trapezoid with those numbers
Yuliya22 [10]

Area=14.6

To find a trapezoid

Top +Bottom /2 multiplied by height

So 2.5+ 4.8= 7.3

7.3/2= 3.65

3.65x4=14.6

3 0
3 years ago
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