Answer:
D.
Step-by-step explanation:
Answer:
0.706
Step-by-step explanation:
In this question, we are asked to calculate the probability that if 4 light bulbs are selected out of a total of 60, with 5 defective ones, all are good.
Firstly we need to find the probability of selecting a bulb that is not defective. Let’s call this P(g).
Since 5 are defective, it means 60-5 = 55 bulbs are not defective.
The probability of selecting a bulb not defective would be 55/60 = 11/12
Now, four are selected with claims that non are defective, the probability here would thus be 11/12 * 11/12 * 11/12 * 11/12 = 0.706066743827
To the nearest thousandth, we have 0.706
5. You have correctly shown the decimal equivalents of the numbers in selection C. Those are in order. The decimal equivalents for selection D would be
... -1.33, -2.00, -1.00, -0.08, -0.07
The first of these is greater than the second of these, so this list is not in order. The correct choice is D.
6. √169 = 13, the only rational number in the lot. The correct choice is C.
8. All the numbers except the ones with radicals are rational numbers, so the appropriate choice is the one that lists the radicals only: G.
9. You have correctly plotted the points. When you connect them to make a geometric figure, you get a triangle that is 6 units high and 6 units wide. Its area will be half that of a square that is 6×6, so is 18 square units.
_____
The formula for the area of a triangle is
... A = (1/2)bh
where b is the base length of the triangle (6 units), and h is the height (6 units). Filling in the numbers you have, this is
... A = (1/2)·6·6 = 18 . . . . square units.
When you have a plot like this on a graph, it is usually pretty easy to see that the triangle area is half the area of a rectangle (or square) with the same height and width.
Answer:
5
Step-by-step explanation:
This is in the form y = mx + b
M is the slope of the equation which is rise over run
b is the y intercept, which is when x = 0 and the line intercepts the y-axis
