Answer:
C. 3.4
Step-by-step explanation:
We need to find expected value, which is essentially the value that we expect to get based on the amount of each "thing" at hand.
Here, we have 4 multiple-choice questions worth 3 points each and 2 true/false questions worth 1 point each. Each multiple-choice question has 5 possible answers, so the probability that you get that multiple-choice question correct is 1/5. Similarly, each true/false question has 2 possible answers, so the probability that you get that question right is 1/2.
Expected value, denoted by E(x), has the formula:
E(x) = ∑ xp(x), where x is the number of points you get per problem here and p(x) is the probability of getting the problem correct
E(x) = 4 * 3 * (1/5) + 2 * 1 * (1/2) = 12/5 + 1 = 17/5 = 3.4.
The answer is thus C.
In this item, we are to divide one (1) inch into 16 equal parts to be able to conclude that American standard system is less accurate than the metric system.
16 parts of 1 inch = 1 inch / 16 = 0.0625 inch
This in itself is already a proof enough that there are 4 decimal places after the decimal point which makes this hard to properly measure.
Whereas, if we are to divide a centimeter into the millimeters, we will have 10 equal parts and that would be 1 mm = 0.1 cm.
The number above only has one decimal place and the level of accuracy should be higher.
It's less confusing if you only think about one of them at a time.
A).
Change the whole thing to all inches.
(Multiply the 8-ft by 12inches/foot.)
Then, when you have it all in one number of inches,
multiply that number of inches by (2.54 centimeters/inch).
B).
1 ounce is the weight of 28.35 grams (on Earth).
Multiply the 300g by (1 ounce / 28.35 g).
C).
Multiply the liters by (0.264 gallon/liter)
Multiply the km by (1 mile / 1.609 km).
Then you'll have a fraction that actually means
(a number of gallons) divided by (a number of miles).
Do the division, and you'll have the gallons per mile.
D).
The area of any rectangle is (length) times (width).
The area of this living room is (13-ft times 14-ft), and that's in square feet.
You know how much 1 square foot of carpet costs.
Just multiply that price by the number of square feet that you need.
17x(1-2y)
17x-34xy
because both expressions have a x, it would be easier to factor out the x first. but because 17 is a factor of 34 you can simply divide 34 by 17 and get 2. so you put it together to this,
17x(1-2y)
Because, 17x times 1 is 17x but 17x times -2y would be -32xy.
