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denis23 [38]
3 years ago
12

Charles has rolled a 6-sided die three times and it landed on 3 each time. What is the probability of getting a 3 on the 4th rol

l?
Answer choices: A) 1, B) \frac{1}{36}, C) \frac{1}{216}, D) \frac{1}{6}
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0

The answer would be D - 1/6


This is because there are six sides to the die and just because he rolled all 3s before it does not mean he has a better chance to roll a 3 now.

Since there is only 1 3 on the six sided die there is a 1/6 chance he would roll a 3.

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NO LINKS!!
dexar [7]

Answer: Anything between 0 and 10, excluding both endpoints.

In terms of symbols we can say 0 < w < 10 where w is the width.

===================================================

Explanation:

You could do this with two variables, but I think it's easier to instead use one variable only. This is because the length is dependent on what you pick for the width.

w = width

2w = twice the width

2w-5 = five less than twice the width = length

So,

  • width = w
  • length = 2w-5

which lead to

area = length*width

area = (2w-5)*w

area = 2w^2-5w

area < 150

2w^2 - 5w < 150

2w^2 - 5w - 150 < 0

To solve this inequality, we will solve the equation 2w^2-5w-150 = 0

Use the quadratic formula. Plug in a = 2, b = -5, c = -150

w = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\w = \frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-150)}}{2(2)}\\\\w = \frac{5\pm\sqrt{1225}}{4}\\\\w = \frac{5\pm35}{4}\\\\w = \frac{5+35}{4} \ \text{ or } \ w = \frac{5-35}{4}\\\\w = \frac{40}{4} \ \text{ or } \ w = \frac{-30}{4}\\\\w = 10 \ \text{ or } \ w = -7.5\\\\

Ignore the negative solution as it makes no sense to have a negative width.

The only practical root is w = 10.

If w = 10 feet, then the area = 2w^2-5w results in 150 square feet.

----------------------

Based on that root, we need to try a sample value that is to the left of it.

Let's say we try w = 5.

2w^2 - 5w < 150

2*5^2 - 5*5 < 150

25 < 150 ... which is true

This shows that if 0 < w < 10, then 2w^2-5w < 150 is true.

Now try something to the right of 10. I'll pick w = 15

2w^2 - 5w < 150

2*15^2 - 5*15 < 150

375 < 150 ... which is false

It means w > 10 leads to 2w^2-5w < 150  being false.

Therefore w > 10 isn't allowed if we want 2w^2-5w < 150 to be true.

4 0
2 years ago
Evaluate
Fittoniya [83]
Answer: 8

Explanation: first start with the fractions. 4 divided by a (which equals 4) is 1. B (which equals 3) divided by 3 is 1. Then put it all together 6+1+1=8.
6 0
3 years ago
Read 2 more answers
How many times will22 go into 988?
iren2701 [21]
22 gose into 988 8 times 
3 0
2 years ago
Alaina is selling wreaths and poinsettias for her chorus fundraiser. Wreaths cost $27 each poinsettia cost $20 each. If she sold
marishachu [46]

Answer:

The number of wreaths Alaina sells is 9 .

Step-by-step explanation:

As given

Alaina is selling wreaths and poinsettias for her chorus fundraiser.

Wreaths cost $27 each poinsettia cost $20 each.

If she sold 15 poinsettias and made $543.

Let us assume that the number of wreaths Alaina sells = x

As the number of poinsettias  Alaina sells = 15

Than the equation becomes

27x + 15 × 20 = 543

27x + 300 = 543

27x  = 543 - 300

27x  = 243

x = \frac{243}{27}

x = 9

Therefore the number of wreaths Alaina sells is 9 .

4 0
3 years ago
0.5 divided by 2 standard algorithm
rjkz [21]

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

0.5 divided by 2 in standard algorithm is...

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8 0
3 years ago
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