Nothing times itself will equal 29, but in decimal form only is 5.38
We use the Pythagorean theorem here, because we have the two sides and a right angle between them, so we calculate the hypotenuse like this:
x^2 = 6^2 + 8^2
x^2 = 36 + 64
x^2 = 100
x = square root of 100
x = 10
The correct answer is B.10.
Answer:
85 percent
Step-by-step explanation:
68 out of 80 = 68/80
= 0.85, times 100
= 85 percent
Vertical Angles: Theorem and Proof
Theorem: In a pair of intersecting lines the vertically opposite angles are equal. It can be seen that ray \overline{OA} stands on the line \overleftrightarrow{CD} and according to Linear Pair Axiom, if a ray stands on a line, then the adjacent angles form a linear pair of angles.
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.
