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3 years ago

There is a bag filled with 3 blue and 4 red marbles.

Mathematics

1 answer:

kenny6666 [7]3 years ago

5 0

Answer:

24/49

Step-by-step explanation:

The options to get 2 of different color is picking blue then red or red then blue.

Starting with picking blue then red.

The chance to pull blue first is 3/7. Then since the marble is replaced the chance to pull red next is 4/7.

The chance to get those in that specific order is the product of the two fractions. (3/7) * (4/7) = 12 / 49

The second option of getting red then blue will be the same as above but 4/7 then 3/7 with the same result of 12/49.

To finish, add the two probabilities together 12/49 + 12/49 = 24/49.

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Who can help me please

lakkis [162]

The dimensions of the bottom of the drawer are:
20 cm × 40 cm

So the area is : 800 cm² (rectangular shaped)

The area formula of a circle is:
$\pi$ r²
The diameter of the plate is 20cm
so the radius is half the diameter which is 10cm
Apply the given to the formula:
$\pi$ (10)²
100 $\pi$
314.16 cm²

2 plates in the bottom drawer
Area of two plates:
2 × 314.16
628.32 cm²

Area of the non-covered space in the bottom drawer:
Area of drawer - area of two plates
800 - 628.32
171.68 cm²

7 0

3 years ago

Factor 9b 2 - 4. O (3b + 1)(3b - 4) O (3b + 2)(3b - 2) O (3b - 2)(3b - 2)

Nastasia [14]

Answer:

(3b+2)(3b-2)

Step-by-step explanation: It is the correct answer because we are factoring to the prime number.

7 0

4 years ago

Solve for x. A)-6 B)-9 C)-15 D)-18

faltersainse [42]

The correct answer is C) -15.

Anyways, I hope you have a wonderful evening :)

8 0

3 years ago

Greenland, the largest island in the world, is 21 times larger than Iceland. The combined area of Greenland and Iceland is 880,0

Vlad1618 [11]

Greenland is x
Iceland is g

g + x = 880,000
x = 21g

Solve both equations for x (Greenland)
x = 880,000 - g
x = 21g

Because of the transitive property, which states that for any real numbers a, b, and c: If a = b and b = c, then a = c, you can set the two things that equal x equal to each other.
21g = 880,000 - g

Then you simplify.
21g = 880,000 - g
21g + g = 880,000 -g +g
22g = 880,000

7 0

3 years ago

Please help i dont know how to solve

den301095 [7]

Answer:

sum(2^(n+1), for n=1 to 6)

Step-by-step explanation:

To answer this question, you need to know two things:

what is an expression for the n-th term
how many terms are there

The series shown is a geometric series with first term 4 and common ratio 8/4 = 2. The generic form of the n-th term is ...

an = a1×r^(n-1) . . . . first term a1, common ratio r

You can use this form directly in your summation expression, or you can simplify it a bit.

an = 4×2^(n-1) = (2^2)(2^(n-1)) = 2^(n-1+2)

an = 2^(n+1)

The value 128 is 2^7, so n+1 = 7, or n=6 for that term

Your summation expression could be ...

$\displaystyle\sum_{n=1}^6{2^{n+1}}$

_____

Additional comment

The n-th term can also be written as 2×2^n.

3 0

3 years ago