The magnitude of WX is
⇒ c
Step-by-step explanation:
The magnitude of XY (its length) where,
is IXYI =
∵ W = (-2 , 8 , -3)
∵ X = (1 , 4 , -1)
- To find the magnitude of WX use the formula above
∴
= -2 and
= 1
∴
= 8 and
= 4
∴
= -3 and
= -1
- Substitute these values in the rule above
∵ IWXI =
∴ IWXI =
The magnitude of WX is
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Answer:
<h2>x = 0, y = 5, z = 3</h2>
Step-by-step explanation:



1. First step: To get a term of x by itself, add 5 to both sides
Second step: This will become 3x<24
Third step: To separate 3x, divide everything by 3: 3x÷3 < 24÷3
Step four: x < 8
2. First subtract both sides by 12: - 2x + 12 - 12 < - 4 - 12
Second: This becomes - 2x < -16
Third: Divide by -2 to get x by itself - 2x ÷ - 2 > -16 ÷ - 2 Note: If you divide by a negative number, the inequality sign switches. This is a really important step that most students forget.
Fourth: x>8
Note: Try plugging in values when you are done if you are uncertain you have the right answer.
Answer:
Step-by-step explanation:
Total number of marbles = 5 + 2 + 3 = 10
Probability of choosing 1 green marble = 2/10
Probability of choosing 1 yellow marble = 3/10
Notice (and this is important) that the denominator didn't change. Why?
Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.
So what is the probability of P(green then yellow)?
P(green then yellow) = 3/10 * 2/10 = 6/100
Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.
Answer:
C.
Step-by-step explanation:
Adding 2 fractions results in a fraction.