Answer:
a) 0.2778
b) 0.3611
c) 0.1389
d) 0.0833
Step-by-step explanation:
We have a total of 5 + 3 + 1 = 9 balls
a) First ball being yellow: we have 5 yellow balls, so P1 = 5/9
Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2
Both yellows: P = P1 * P2 = 5/18 = 0.2778
b) Both blues:
P1 = 3/9 = 1/3
P2 = 2/8 = 1/4
P = P1 * P2 = 1/12 = 0.0833
Both yellows or both blues: 5/18 + 1/12 = 0.2778 + 0.0833 = 0.3611
c) First yellow: P1 = 5/9
Second red: P2 = 1/8
Pa = P1 * P2 = 5/72
or
First red: P3 = 1/9
Second yellow: P4 = 5/8
Pb = P3 * P4 = 5/72
P = Pa + Pb = 10/72 = 5/36 = 0.1389
d) First blue: P1 = 3/9 = 1/3
Second red: P2 = 1/8
Pa = P1 * P2 = 1/24
or
First red: P3 = 1/9
Second blue: P4 = 3/8
Pb = P3 * P4 = 1/24
P = Pa + Pb = 2/24 = 1/12 = 0.0833
Answer:
the answer is that both x and y are acute
Answer:
In 3 years she will make $6.44.
Step-by-step explanation:
Remember, |n|≥0 for all real numbers n
so
-|x|=0
times -1
|x|=0
true, x=0, has a solution
|x|=-15
false, can't have negative absolute value
-|x|=12
|x|=-12
false, no negative absolute value
-|-x|=9
|-x|=-9
false, no negative absolute value
-|-x|=-2
|-x|=2
x=2 or -2
true, has solutions
the ones that have no solutions are
|x|=-15
-|x|=12
-|-x|=9
The product that will give a negative answer is: −3 × 4 × (−2) × (−7) = -168.
<h3>How to Find the
Product of Negative Numbers?</h3>
The rule when multiplying two negative numbers is that, the negative signs will cancel each other. That is, minus multiplied by minus will give as plus.
For example, -a × -b = ab
Also, "plus" multiplied by "minus" will also give as "minus. For example:
-a × b = -ab.
Using the above rule, let's find the product of the following:
−3 × 5 × (−6) × 4 = -15 × (-24)
−3 × 5 × (−6) × 4 = 360 [minus × minus = plus]
−7 × (−3) × (−9) × 0 = 0 [anything multiplied by 0 must result to 0]
−4 × (−6) × (−3) × (−5)
= 24 × 15
−4 × (−6) × (−3) × (−5) = 360
−3 × 4 × (−2) × (−7)
= -12 × 14
−3 × 4 × (−2) × (−7) = -168
Therefore, the product that will give a negative answer is: −3 × 4 × (−2) × (−7) = -168.
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