Answer:
The correct are is 5.5 cm².
Step-by-step explanation:
First of all, Carlos calciulated the are of the rectangle correctly, only the are unit is wrong, it should be 3 cm².
He made a mistake calculating the area of a the triangle: The area of a triangle can be calculated by multiplying the base by the height by .
(Comment if you want a deeper explanation on where this comes from)
He mistakenly takes 4 cm for the height, but if you look carefully the height of the triangle in this case is 4 cm - 1.5 cm = 2.5 cm.
That gives for the area of the triangle.
Adding those two together gets you a total area of 5.5 cm².
Answer:
(a) 7.69%
(b) 25%
(c) 2.78%
Step-by-step explanation:
(a)
In a deck of 52 cards there are 4 aces.
The odds in favor or the probability of selecting an ace is:
Thus, the probability of selecting an ace from a random deck of 562 cards is 7.69%.
(b)
The outcomes of each toss of a coin is independent of the other, since the result of the previous toss does not affect the result of the current toss.
The probability that both the tosses will end up in heads is:
Thus, the probability that both the tosses will end up in heads is 25%.
(c)
The sample space of two dice consists of 36 outcomes in total.
Out of these 36 outcomes there is only 1 Boxcar, i.e. two sixes.
The probability of a boxcar when two dice are rolled is:
Thus, the probability of a boxcar when two dice are rolled is 2.78%.
<span>The correct answer is a negative correlation. This means that as one increases, the other decreases. In this case, as the age of a car increases, its value decreases. On a graph this will look like a line going down from the top left to the bottom right. A positive correlation would be the opposite (as one increases, so does the other). A constant correlation means that something is increasing or decreasing at a steady rate (since we don't know how much a car's value depreciates each year, we can't determine if it's a constant relationship). </span>