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Novay_Z [31]
3 years ago
10

K12 Online school Divide. 5.6 ÷ 1,000

Mathematics
2 answers:
kati45 [8]3 years ago
7 0

Answer:

5.6÷1000=0.0056

1000÷5.6=178.57

Goryan [66]3 years ago
5 0

Answer:

0.0056

Step-by-step explanation:

hope this helps :)

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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
polly knit a total of 45 centimeters of scarf over 5 nights. how many nights. how many nights will polly have to spend knitting
Daniel [21]

Answer:

Your answer will be 567

Step-by-step explanation:

5 / 45 = 9 x 63 = 567

I hope this helps

Have a nice day/night

Mark brainiest, please

:)

7 0
3 years ago
What is the greatest common factor (GCF) of 48 and 32?
Nat2105 [25]

Answer:

The greatest common factor of 48 and 32 is 16

6 0
2 years ago
Read 2 more answers
A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the
Aloiza [94]
I am learning this right now but in two hours I will tell you
6 0
3 years ago
Read 2 more answers
How many solutions does the equation 3x − 7 = 4 + 6 + 4x have? Two Zero Infinitely many One
sleet_krkn [62]

Answer:

one solution

Step-by-step explanation:

3x − 7 = 4 + 6 + 4x

Combine like terms

3x-7=4x+10

Subtract 3x from each side

-7=x+10

Subtract 10 from each side

-17 =x

There is one solution

4 0
3 years ago
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