The plane is P, the point of intersection is X, and the hash marks all indicate X is the midpoint of the line segments that go through x. The appropriate choice is the second one.
_____
The first choice makes no sense, as there are no right angles shown.
The third choice makes no sense, as the plane is P, not X.
The fourth choice is cut off, but is obviously incorrect, too.
Answer: Option B
Step-by-step explanation:
First we assign a name to the events:
Event S: a customer buys socks
Event H: a customer buys shoes.
We know that :
We also know that the probability of S given that H occurs is:
If two events S and H are independent then:
This mean that if two events S and H are independent then:
We know that:
and
This means that S and H events are dependent.
The answer is the option B
Answer:
$2191.12
Step-by-step explanation:
We are asked to find the value of a bond after 10 years, if you invest $1000 in a savings bond that pays 4% interest, compounded semi-annually.
, where,
,
r = Rate of return in decimal form.
n = Number of periods.
Since interest is compounded semi-annually, so 'n' will be 2 times 10 that is 20.
Therefore, the bond would be $2191.12 worth in 10 years.
Answer:
25
Step-by-step explanation:
We require to solve for n, hence
n(n + 1) = 325
multiply both sides by 2 to eliminate the fraction
n(n + 1) = 650
n² + n = 650
subtract 650 from both sides to have equation in standard form
n² + n - 650 = 0 ← in standard form
(n + 26)(n - 25) = 0 ← in factored form
equate each factor to zero and solve for n
n + 26 = 0 ⇒ n = - 26
n - 25 = 0 ⇒ n = 25
however, n > 0 ⇒ n = 25