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NARA [144]
4 years ago
13

A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th

en draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.
Mathematics
1 answer:
allochka39001 [22]4 years ago
6 0

Answer:

\dfrac{9}{64}

Step-by-step explanation:

Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.

There are 1+3+4=8 marbles in total. The probability that the first chosen marble is blue is \dfrac{3}{8}. then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is

\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.

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Round 6-6/7 to the nearest whole number​
almond37 [142]

Answer:

5

Step-by-step explanation:

6-6/7

using pemdas it's:

6/7= 0.857

6-0.857=5.143

5.143 to the nearest whole number is 5

6 0
3 years ago
Evaluate 1/3m-1-1/2n when m=21 and n=12
stellarik [79]

Answer:

12

Step-by-step explanation:

8 0
3 years ago
What is the GCF of two prime numbers?
ehidna [41]
Prime numbers: numbers which only have the factors of themselves and 1.

They include numbers such as 17, 19, 23, etc. These are numbers which only have two factors: such as 17, with the factors only being 17 and 1.

So therefore, this means, that for any two prime numbers, unless they are the same number, the only factor they will share is 1. So therefore the GCF of two prime numbers is 1.

Hope this helped!
4 0
3 years ago
For f(x) = 2x + 3 and g(x) = x2 – 8, find (f + g)(x).
Nataly_w [17]

Answer:

x² + 2x - 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 3 + x² - 8 ← collect like terms

= x² + 2x - 5

8 0
3 years ago
Quadratic 6X2 + 5X = -7
poizon [28]
Ok, so here your being asked to solve 6x2<span> + 5x = -7 

The procedure that I did was using this formula it led me to get the following:
</span>Using the formula:

x = -(-5) ± √(-5)² - 4(6)(-6)/ 2(6)
x = 5 ± √ 25 + 144 / 12
x = 5 ± √ 169 / 12
x = 5 ± 13/12

x1 = 5 + 13/12
x1 = 18/12
x1 = 3/2

x2 = 5 - 13/12
x2 = -8/12
<span> x2 = - 2/3 

Hope this helped :)</span>
7 0
4 years ago
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