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Xelga [282]
2 years ago
7

Do not answer if you do not have right answer warning!

Mathematics
1 answer:
lubasha [3.4K]2 years ago
8 0

Answer:

(0,5)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis, and where x=0.

(0,5)

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A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student wil
algol13

Answer:

P(Topic A) = 0.91

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A).

Step-by-step explanation:

If Topic A is chosen, 2 books will be ordered (n=2)

If topic B is chosen, 4 books will be ordered (n=4)

Probability that a book arrives in time (p) = 0.7

Probability that a book does not arrive in time (q) = 1 - p = 1 - 0.7 = 0.3

We will <u>use the binomial distribution</u> to find out which topic should the student choose to maximize the probability of writing a good paper. The binomial distribution formula is:

P(X=x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

           q = probability of failure

           n = total no. of trials

           x = no. of successful trials

For Topic A, n = 2, p=0.7 and q=0.3. If topic A is chosen, the student will use at least half the books i.e. he will use either 1 or 2 books. So,

P(Topic A) = P(X=1) + P(X=2)

                 =²C₁ (0.7)¹(0.3)²⁻¹ + ²C₂ (0.7)²(0.3)²⁻²

                 = 0.42 + 0.49

P(Topic A) = 0.91

For topic B, n=4, p=0.7 and q=0.3. If topic B is chosen, the student will choose 2 or more books i.e. 2, 3 or 4 books.

P(Topic B) = P(X=2) + P(X=3) + P(X=4)

                  = ⁴C₂ (0.7)²(0.3)⁴⁻² + ⁴C₃ (0.7)³(0.3)⁴⁻³ + ⁴C₄ (0.7)⁴(0.3)⁴⁻⁴

                  = 0.2646 + 0.4116 + 0.2401

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A) as calculated above.

3 0
3 years ago
4(1-x)+2x=-3(x+1)<br> -) 7/5<br> -) -7/5<br> -) -3/4<br> -) -7
natima [27]

Answer:

the last one -) -7

Step-by-step explanation:

if this help you please give me a crown please

6 0
2 years ago
Read 2 more answers
26 divided by 000.0000000009
Flura [38]

Answer:

undefined

Step-by-step explanation:

The expression contains a division by  

0

The expression is undefined.

Undefined

7 0
3 years ago
Read 2 more answers
Select all operations under which the polynomials 5x - 1 and 3x - 10 are not closed.
sammy [17]
It's division.
Hope I helped!
7 0
3 years ago
Whats the Area? how do i find it? In these specific questions?
just olya [345]
The formula for finding the area of a square is:
{s}^{2}

The formula for finding the area of a triangle is:
\frac{1}{2} bh

So for the square the area would be:
{2x}^{2} \times  {2x}^{2}  =  {4x}^{2}

The area for the triangle would be:

\frac{1}{2}  {2c}^{3}  \times  4c =  {4c}^{2}
7 0
3 years ago
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