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VMariaS [17]
3 years ago
8

Four equivalent expressions for 3(6m+3)

Mathematics
1 answer:
TEA [102]3 years ago
8 0
There's an infinite number of equivalent expressions for 3(6m + 3), for example:

3 * 6m + 3 * 3
6 (3m + 1.5)
9 + 18m
1/2 (18 + 36m)

I hope it will help you :)
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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
Pls helppp<br> math work<br> bleh
Mashcka [7]

Answer:

m = -10

Step-by-step explanation:

>:)

3 0
3 years ago
Read 2 more answers
Which is the equation of a line that has a slope of 2 and contains the point (0,5)
riadik2000 [5.3K]

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=2(x-0) \\\\\\ y-5=2x\implies y=2x+5

7 0
3 years ago
On Saturday, Quentin will earn $15 more than 2 times the amount of money he earned on Friday. If Quentin earned d
Licemer1 [7]
Your anwser will be (A) - 2d+15
6 0
2 years ago
Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profi
Aliun [14]
I believe the answer is 267

If each is worth $25 and it costs $10 then he is making $15 profit.

4000/15 is 266.6666667

So you would need 267
8 0
3 years ago
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