Answer:
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
Step-by-step explanation:
An event is an individual outcome or any number of outcomes of a random experiment or trial. An even that contains only one sample point is called a simple event. A compound event contains more than 1 sample point and is formed by the union of simple points.
An event A is said to occur only and if only the outcome of the experiment corresponds to some element of A.
In the given question the first symbolic representation gives an event and the second symbolic representation gives the probability.
The probability of X = 2 or 4 is given by P (X=2) or P (X=4) symbollically.
So A is the best choice.
The relative frequency gives the probability so choice B,C and D are wrong.
Answer:
see explanation
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
= [2a + (n - 1)d ]
where d is the common difference and a is the first term
here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence
= [(2 × 5) + 2(n - 1) ]
= (10 + 2n - 2)
= (2n + 8)
= n² + 4n
When sum = 165, then
n² + 4n = 165 ← rearrange into standard form
n² + 4n - 165 = 0 ← in standard form
(n + 15)(n - 11) = 0 ← in factored form
equate each factor to zero and solve for n
n + 15 = 0 ⇒ n = - 15
n - 11 = 0 ⇒ n = 11
but n > 0 ⇒ n = 11
Answer:
216 inches
Step-by-step explanation:
Answer:
Very interesting observation
~ Maria
Step-by-step explanation:
<u>Answer:</u>
<u />
2×8=16
7×3=21
2/3 + 7/8 = 16/24 + 21/24