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zysi [14]
3 years ago
6

Between 02 30 and 05 30,the same day,the volume of water in a reservoir increased from 6000 L to 18 000 L.What was the average r

ate of increase in volume of water,giving your answer in L/h?
Mathematics
1 answer:
irinina [24]3 years ago
3 0

Answer:

4,000 L/h

Step-by-step explanation:

First we'll find the amount of the change.

18,000 - 6,000 = 12,000 L

The time of the volume change was 3 hours: 0230 - 0530

Since we're looking for liters per hour, we will divide the liters (12,000) by the hours (3)

12,000/3 = 4,000 L/h

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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
#1.) Which of the numbers below belong to the solution x-4≥5?
jekas [21]
The answer is C 
9 - 4 = 5
5 is equal to 5

13 - 4 = 9
9 is greater than 5

The symbol means greater than or equal to 
6 0
3 years ago
Work out the surface area of a cuboid 2cm by 3cm by 4cm
patriot [66]

2x3=6

2x3=6

2x4=8

2x4=8

3x4=12

3x4=12

12+12+8+8+6+6=52cm3

8 0
3 years ago
What rational number is between 2.46 and 2.47 on a number line
KonstantinChe [14]

I think the answer is 2.50

5 0
3 years ago
Read 2 more answers
Please awnser for brainlyest awnser btw I don’t like emojis ✌️✌️✌️✌️✌️✌️✌️
nexus9112 [7]

Answer:

7. Mean = 48

Median = 47.5

Mode = 72

Range = 66

8. Mean= 59.625

Median = 61

Mode = 90

Range = 79

9. Mean = 31.57

Median = 32

Mode = 46

Range = 34

10. Mean = 42.11

Median = 36

Mode = 51

Range = 51

Step-by-step explanation:

Mean is the average. Mode is the number that appears the most. Median is the middle number. Range is the biggest number minus the smallest number.

Hope this helps.

3 0
3 years ago
Read 2 more answers
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