Answer:
Step-by-step explanation:
sixteen possible outcomes
A fair 4-sided die is rolled twice and we assume that all sixteen possible outcomes are equally likely.
Answer:
Why is 42 the sum of all factors of 30, excluding 30? The factors of the number 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
Step-by-step explanation:
Answer:
Step-by-step explanation:
total capacity = 62.5 GB
available capacity = 35.0 GB
35 is what percent of 62.5
35 = x% * 62.5
35 / 62.5 = x%
0.56 = x%
56% = x <=====
Answer:
Xavier will not be able to qualify because the speed required for him to qualify is greater than the speed at which he runs
Step-by-step explanation:
Here, we want to know if Xavier will be able to qualify or not
His constant speed is 5/3 m/s
Now to win , he needs a speed of 100 m/55 sec = 20/11 m/s
So now, we need to know the bigger fraction between the two
Mathematically, that will be
5/3 - 20/11 = (55-60)/11 = -5/11
As we can see, the required speed is greater than what he can run
So this means that he will not be able to qualify
Equation 1: 3x + 2y + 4z = 12
Equation 2: x + y + 2z = 6
Substituting x = 0, y = 4 and z = 1 into equation 1 and equation 2 and if the answer equals to 12 and 6 then the two lines intersect at the given point
Equation 1 ⇒ 3(0) + 2(4) + 4(1) = 0 + 8 + 4 =12
Equation 2 ⇒ 0 + 4 + 2(1) = 4 + 2 = 6
We have the answer of 12 and 6, hence the two lines intersect at the given point
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Equation 1: -2x - 4y + z = 8
Equation 2: 4x + 2y = -5
Given point: x = -2, y = 0, and z = 3
Equation 1 ⇒ -2(-2) - 4(0) + 3 = 4 - 0 +3 = 7
Equation 2 ⇒ 4(-2) + 2(0) = -8 + 0 = -8
The answers are not 8 and -5 hence the lines don't intersect at given point