Answer:
(a) 4/9
(b) 19/27
Step-by-step explanation:
The probability of each die turning up red or not turning red are:
(a). Exactly one face up is red.
The odds of only the first die being red are:
The same odds are valid for only the second or only the third die being red. Therefore, the probability that exactly one die turns up red is:
(b). At least one face up is red.
The probability that at least one die turns up red is the sum of the probabilities of exactly one (found in the previous item), two or all dice turning up red.
Following the same logic as in the previous item, the probability that exactly two dice turn up red is:
The probability that all die turn up red is:
Thus, the probability that at least one die turns up red is:
Answer:
Step-by-step explanation:
8x-14=2x+11
-8 -8
-14=-6x+11
-11
-25=-6x
/-6
x=4.16
Answer: 456 inches cubed
Step-by-step explanation:
Volume is the area of the base multiplied by the height so you have to do 38 times 12 to get 456.
Answer:
Question 4: -11
Question 5: -7
Step-by-step explanation:
Four
Every triangle has 180 degrees.
So all three angles add to 180
<em><u>Equation</u></em>
60 + 80 + x + 51 = 180
<em><u>Solution</u></em>
Combine the like terms on the left. This is the first time I've seen x be a negative value. Almost all of the time it isn't, which should make you wonder.
191 + x = 180
Subtract 191 from both sides.
191 - 191 + x = 180 - 191
x = - 11
Five
If a triangle is a right triangle and one of the angles is 45, then so is the other one.
<em><u>Proof</u></em>
a + 45 + 90 = 180 Combine like terms on the left
a + 135 = 180 Subtract 135 on both sides.
a + 135-135=180-135 Combine the like terms
a = 45
<em><u>Statement</u></em>
That means 52 + x = 45 and here is another negative answer. Subtract 52 from both sides
52 - 52 + x = 45 - 52 Combine like terms.
x = - 7
