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Triss [41]
3 years ago
14

Which of the following could be the probability distribution for a loaded number cube?

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0
<h3>Answer: Choice B</h3>

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

Explanation:

The requirements for a probability distribution are this

  1. The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say 0 \le p \le 1 where p is an individual probability.
  2. The probabilities must sum to 1.

Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.

We can also rule out choice D since the probabilities sum to this

0.20+0.15+0.20+0.20+0.20+0.20 = 1.15

The sum is too large. The sum needs to be 1.00 or just 1.

So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.

For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.

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The units digit of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more
Vlad1618 [11]

Answer:

37

Step-by-step explanation:

Let the initial number be xy=10x+y.

Initial number:

Units digit = y

Tens digit = x

The units digit of a 2-digit number is 1 more than twice the tens digit, then

y=2x+1

Reversed number is yx=10y+x.

If the new number is 36 more than the original number, then

(10y+x)-(10x+y)=36

Simplify this equation:

10y+x-10x-y=36\\ \\9y-9x=36\\ \\y-x=4

Substitute y=2x+1 into the equation y-x=4:

(2x+1)-x=4\\ \\2x+1-x=4\\ \\x+1=4\\ \\x=3\\ \\y=2\cdot 3+1=7

Initial number: 37

6 0
3 years ago
can some help me out with this ? i need to know some steps so i can remember what im doing for the other questions i have.
Anna [14]

Answer:

Step-by-step explanation:

a^{2} +b^{2}=c^{2} \\b^{2} =c^{2}- a^{2}\\b= \sqrt{b^{2} }

49 - 16 = 33

\sqrt{33} = 5.74

6 0
3 years ago
The perimeter of a square is 32 centimeters. What is the length of one side?
Lubov Fominskaja [6]
L= length of one side of the square
Ok so we know the perimeter is 32 cm. Perimeter is the sum of all the sides of a shape. Now all four sides of a square are the same length. That means 4*L=32.
Now that we have the equation 4*L=32, we need to find a number that when multiplied by four, equals 32. Since 4*8=32, we know the answer must be 8cm.
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3 years ago
I WILL GIVE BRAINIEST TO THE BEST ANSWER
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Domain is the values of x. x is from -5 to 7, it includes -5 ([ ] is the include symbol, but doesn't include 7, so C is the answer
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