Answer:
7 times
Step-by-step explanation:
There is one number greater than 5 on a dice - that is the number 6.
So probability of throwing a six = 1/6.
So it is 42 * 1/6.
46-(-26)
= 46+26
= 72
As - and - together makes plus.
Hope it helps you and please mark my answer as the brainliest
3x + 7y = 14
Subtract 3x from both sides
7y = -3x + 14
Slope is equal to -3.
Answer:
Step-by-step explanation:
All marbles here are identical. Also, the question isn't concerned about the order in which the marbles are drawn. Thus, all calculations here shall be combinations rather than permutations.
<h3>A)</h3>
How many ways to choose three out of six identical red marbles without replacement?
.
Note that these three expressions are equivalent. They all represent the number of ways to choose 3 out of 6 identical items without replacement.
How many ways to choose three out of all the 6 + 10 + 6 = 22 marbles?
.
The probability of choosing three red marbles out of these 22 marbles will be:
.
<h3>B)</h3>
How many ways to choose two out of six identical red marbles without replacement?
.
How many ways to choose one out of 10 + 6 = 16 non-red marbles?
.
Choosing two red marbles does not influence the number of ways of choosing a non-red marble. Both event happen and are independent of each other. Apply the product rule to find the number of ways of choosing two red marbles and one non-red marble out of the pile of 22.
.
Probability:
.
Double check that the order doesn't matter here.
<h3>C)</h3>
None of the marbles are red. In other words, all three marbles are chosen out of a pile of 10 + 6 = 16 white and blue marbles. Number of ways to do so:
.
Probability:
.
The graph that represents the inequality is:
Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.
<h3>What is the inequality?</h3>
The inequality is:
|2x - 6| < 4
Which means that the distance of 2x - 6 to the origin is less than 4, hence:
-4 < 2x - 6 < 4.
The solution is:
2x - 6 > -4
2x > 2
x > 1
2x - 6 < 4
2x < 10
x < 5
The solution has open circles at x = 1 and x = 5, as they are not part of the solution, and the shading is in the middle, as the solution is 1 < x < 5, hence the correct option is:
Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.
More can be learned about inequalities at brainly.com/question/25235995
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