Find the Value of x using the picture below.
1 answer:
Answer:
[See Below]
Step-by-step explanation:
✦ First you're going to need to put it in a fraction form to solve this:
✧ ⁷⁄₁₄ = ˣ⁄₁₅
✦ Now multiply across:
✧ 7 * 15 = 105
✧ x * 14 = 14x
✦ Now divide:
✧ ¹⁴ˣ⁄₁₄ = x
✧ ¹⁰⁵⁄₁₄ = 7.5
✦ So x would be 7.5
~<em>Hope this helps Mate. If you need anything feel free to message me. </em>
<em>(Here's an image to explain in further detail on the order the problem must go in or else it would be deemed wrong)</em>
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Complete question:
Consider a class of 20 students consisting of 5 sophomores, 8 juniors, and 7 seniors. A math instructor assigns a group project in each of the scenarios below, the instructor selects 5 consecutive students from this class, keeping track (in order) of the level of the student that he gets.
1a. How many possible outcomes are in the sample space S? (An outcome is a 5- tuple of students.)
Let A2 denote the event that exactly 2 of the selected students are sophomore, A5 denote the event that exactly 5 of the selected students are the juniors, and A4 denote the event that exactly 4 of the selected students are seniors.
1b. Find the probabilities of each of these three events. A2, A5, A4
1c. Do the events A2, A5, A4 constitute a partition of the sample space?
Answer:
Given:
n = 20
a) The possible outcome in the sample space,S, =
ⁿCₓ = ²⁰C₅
= 15504
b) probabilities of A2, A5, A4
P(A2) = ⁵C₂ / ²⁰C₂
P(A5) = ⁸C₅ / ²⁰C₅
P(A4) = ⁷C₄ / ²⁰C₄
c) No,the events A2, A5, A4, do not comstitute a partition of the sample space. i.e P(A2)+P(A5)+P(A4) ≠ 1