What is the slope of OA?
1 answer:
You might be interested in
Answer:
5 + 8 + 11 + 10 = 34
Step-by-step explanation:
The lengths of the horizontal and vertical sides are easily determined. The slant side is seen to be the hypotenuse of a 3-4-5 triangle (times 2), so is 10 units long. The perimeter is the sum of the side lengths:
5 + 8 + 11 + 10 = 34
_____
You can always estimate the length of the hypotenuse of a right triangle as being between 1 and 1.5 times the length of the <em>longest</em> side. Here, the longest side of the right triangle whose hypotenuse is of interest is 8 units, so the hypotenuse will be between 8 and 12 units long. That means the perimeter of the blue trapezoid will be between 32 and 36, a guess of sufficient accuracy to allow you to choose the correct answer.
In a figure like this, you can also measure the hypotenuse on the grid. Using a compass, ruler, or a piece of paper with a couple of marks, you can rotate the slant length so that it corresponds to a vertical or horizontal grid line. Then the length of it is easily estimated to good accuracy. (See the second attachment.) As we said in the previous paragraph, even poor accuracy is sufficient to choose the correct answer.
Answer:
a) There is 17.64% probability that exactly two of the selected bulbs are rated 23-watt.
b) There is a 8.65% probability that all three of the bulbs have the same rating.
c) There is a 12.45% probability that one bulb of each type is selected.
Step-by-step explanation:
There are 24 compact fluorescent lightbulbs in the box, of which:
8 are rated 13-watt
9 are rated 18-watt
7 are rated 23-watt
(a) What is the probability that exactly two of the selected bulbs are rated 23-watt?
There are 7 rated 23-watt among 23. There are no replacements(so the denominators in the multiplication decrease). Then can be chosen in different orders, so we have to permutate.
It is a permutation of 3(bulbs selected) with 2(23-watt) and 1(13 or 18 watt) repetitions. So
There is 17.64% probability that exactly two of the selected bulbs are rated 23-watt.
(b) What is the probability that all three of the bulbs have the same rating?
is the probability that all three of them are 13-watt. So:
is the probability that all three of them are 18-watt. So:
is the probability that all three of them are 23-watt. So:
There is a 8.65% probability that all three of the bulbs have the same rating.
(c) What is the probability that one bulb of each type is selected?
We have to permutate, permutation of 3(bulbs), with (1,1,1) repetitions(one for each type). So
There is a 12.45% probability that one bulb of each type is selected.