Leslie rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:
2 answers:
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Answer:
Table shown below
Step-by-step explanation:
To solve this problem let's use proportions.
If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price
For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.
Simplifying the fraction, we get 1/3 or 0.33 pounds
Step-by-step explanation:
Because the length of ST is calculated using pythagorean theorem:
Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:
Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.
Using that formula, you get that y = 17 and x = 8.
Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:
And finally, the correct answer is in fact 353.
Using the concept of probability and the arrangements formula, there is a
0.002 = 0.2% probability that the first 8 people in line are teachers.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
- The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.
The number of possible arrangements from a set of n elements is given by:
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The desired outcomes are:
- First 8 people are teachers, in <u>8! possible ways.</u>
- Last 4 are students, in <u>4! possible ways.</u>
Thus,
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For the total outcomes, <u>number of arrangements of 12 people</u>, thus:
The probability is:
0.002 = 0.2% probability that the first 8 people in line are teachers.
A similar problem is given at brainly.com/question/24650047