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zvonat [6]
4 years ago
6

Each group of students receives a bag that has 9 red cubes, 5 green cubes, and 11 blue cubes. If each group makes 1000 pulls and

replaces the cube after each pull, how many times would you expect them to draw a blue cube?
Mathematics
2 answers:
kolbaska11 [484]4 years ago
7 0

Answer:

440 times

Step-by-step explanation:

First you need to find the total number of cubes each student recieves (25)

Now you put it into a ratio 11 : 25

After that make another ratio with 1000 and solve for x

x : 1000

25x = 11000

x = 440

Amiraneli [1.4K]4 years ago
3 0

Answer:

440 blues

Step-by-step explanation:

9 red cubes, 5 green cubes, and 11 blue cubes = 25 cubes total

P( blue) = 11/25

To find out how many blue cubes are expected, take the probability and multiply by the number of draws

11/25 * 1000 draws

440 blues

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Inconstant as there is no solution
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Step-by-step explanation:

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(8^3 + 2^2 + 1) - (7 - 7^3+3^2)
Andreyy89

Answer:

844 is the ans

Step-by-step explanation:

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3 0
4 years ago
f(x) = x2 – 3x – 2 is shifted 4 units right. The result is g(x). What is g(x)?g(x) = (x + 4)2 – 3x – 2 B. g(x) = (x + 4)2 – 3(x
arlik [135]

Hello from MrBillDoesMath!

Answer:

Choice C

Discussion:

We interrupt this Question by a special commercial announcement..... Consider the simpler case of f(x) = x^2. If we shifted this curve 4 units to the right, then the point x is mapped to x-4.  (f(0) = 0 on the original curve; now f(x-4) = 0 when x =4. So shifting to the right replaces x by x-4.) Now back to our regular TV programming....

Shifting f(x) = x^2 -3x - 2 four units to the right produces

g(x) = f(x-4) = (x-4)^2 -3(x-4) -2

This is choice C.

Thank you,

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7 0
3 years ago
A candy box is made from a piece of cardboard that measures 23 by 13 inches. Squares of equal size will be cut out of each corne
wolverine [178]

Answer:

2.67 inches.

Step-by-step explanation:

Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).

The formula for a rectangular box = L × B × W

= (23 -2y)(13-2y) (y)

= (299 - 46y - 26y + 4y²)y

= 299y - 72y² + 4y³

Now for the maximum volume:

dV/dy = 0

This implies that:

299y - 72y² + 4y³ = 299 - 144y + 12y² = 0

By using the quadratic formula; we have :

= \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}

where;

a = 12; b = -144 and c = 299

= \dfrac{-(-144) \pm \sqrt{(-144)^2 -4(12)(299)}}{2(12)}

= \dfrac{144 \pm \sqrt{20736 -14352}}{24}

= \dfrac{144 \pm \sqrt{6384}}{24}

= \dfrac{144 \pm79.90}{24}

= \dfrac{144 + 79.90}{24} \ \  OR  \ \   \dfrac{144 - 79.90}{24}

= 9.33 \ \  OR  \ \ 2.67

Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33

Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.

3 0
3 years ago
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