On a number line show all values of x that..
1 answer:
Answer:
1.- For the first case we need the absolute value of x greater than 3, this is represented by:
|x|>3
and this has two solutions, one with the positive x and one with the negative x:
solutions to |x|>3:
+x>3
and -x>3 which is x<-3, so combining the two solutions we get:
3<x<-3, in the number line we are going to have two sections, one with the numbers that are greater than 3 and the other with the numbers less than -3 (as seen in the first number line of the attached image).
2.- for the second case we need the absolute of x less than 3, this is represented by:
|x|<3
this also has two solutions (one with the positive x and the other with the negative x)
solutions to |x|<3
x<3
and
-x<3 which is x>-3
combining these two solutions we get
-3<x<3
the number line for this is the second number line in the attached image.
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Using probability concepts, it is found that P(S and D) = 0.1275.
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- A probability is the <u>number of desired outcomes divided by the number of desired outcomes</u>.
- In a standard deck, there are 52 cards.
- Of those, 13 are spades, and 13 are diamond.
- The probability of selecting a spade with the first card is 13/52. Then, there is a 13/51 probability of selecting a diamond with the second. The same is valid for diamond then space, which means that the probability is multiplied by 2. Thus, the desired probability is:
Thus, P(S and D) = 0.1275.
A similar problem is given at brainly.com/question/12873219