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3 years ago

You paint 1/3 of a wall in 1/4 of an hour. At that rate , how long will it take you to paint one wall

Mathematics

1 answer:

kolbaska11 [484]3 years ago

6 0

Answer:

3/4 of an hour (45 minutes)

Step-by-step explanation:

It takes 15 minutes to paint 1/3 of the wall. To paint the entire wall you would have to repeat that process 3 times, so you multiply the amount of time it took by 3.

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Suppose we have three urns, namely, A B and C. A has 3 black balls and 7 white balls. B has 7 black balls and 13 white balls. C

professor190 [17]

Answer:

a. 11/25

b. 11/25

Step-by-step explanation:

We proceed as follows;

From the question, we have the following information;

Three urns A, B and C contains ( 3 black balls 7 white balls), (7 black balls and 13 white balls) and (12 black balls and 8 white balls) respectively.

Now,

Since events of choosing urn A, B and C are denoted by Ai , i=1, 2, 3

Then , P(A1 + P(A2) +P(A3) =1 ....(1)

And P(A1):P(A2):P(A3) = 1: 2: 2 (given) ....(2)

Let P(A1) = x, then using equation (2)

P(A2) = 2x and P(A3) = 2x

(from the ratio given in the question)

Substituting these values in equation (1), we get

x+ 2x + 2x =1

Or 5x =1

Or x =1/5

So, P(A1) =x =1/5 , ....(3)

P(A2) = 2x= 2/5 and ....(4)

P(A3) = 2x= 2/5 ...(5)

Also urns A, B and C has total balls = 10, 20 , 20 respectively.

Now, if we choose one urn and then pick up 2 balls randomly then;

(a) Probability that the first ball is black

=P(A1)×P(Back ball from urn A) +P(A2)×P(Black ball from urn B) + P(A3)×P(Black ball from urn C)

= (1/5)×(3/10) + (2/5)×(7/20) + (2/5)×(12/20)

= (3/50) + (7/50) + (12/50)

=22/50

=11/25

(b) The Probability that the first ball is black given that the second ball is white is same as the probability that first ball is black (11/25). This is because the event of picking of first ball is independent of the event of picking of second ball.

Although the event picking of the second ball is dependent on the event of picking the first ball.

Hence, probability that the first ball is black given that the second ball is white is 11/25

8 0

3 years ago

Evaluate a^2b^2? when a = 5 and b = 3.

kvasek [131]

Answer:

$D) 7$

Step-by-step explanation:

$a^{2} -2b^{2}$

$a=5$

$b=3$

$\left(5\right)^2-2\left(3\right)^2$

Calculate 5 to the power of 2 and get 25:-

$25-2\times 3^{2}$

Calculate 3 to the power of 2 to get 9 and then multiply 2 and 9 to get 18:-

$25-18$

$=7$

<u>OAmalOHopeO</u>

5 0

2 years ago

Meghan uses of pedometer two find how many steps she takes each school day. she took 32,410 steps over the course of five days.

LUCKY_DIMON [66]

Rounded, the answer would be 2.86.

5 0

3 years ago

Tanya has a garden with a trench around it. The garden is a rectangle with length 2.5m and width 2m. The trench and the garden t

Drupady [299]

Answer:

5.5m^2

the area of just the trench is 5.5 m^2

Step-by-step explanation:

The Area of trench only is the total area(trench and garden) minus the Area of garden

Area of trench only = total area(trench and garden) - Area of garden

Area = length × breadth

Substituting the given dimensions;

Total area = 3.5 × 3 = 10.5 m^2

Area of garden = 2.5×2 = 5 m^2

Area of trench only = 10.5 m^2 - 5 m^2

Area of trench only = 5.5m^2

the area of just the trench is 5.5 m^2

8 0

3 years ago

Read 2 more answers

I need help with 23 please!!!

Sever21 [200]

Answer:

28 questions

Step-by-step explanation:

In the first 10 mins she answered 2/5 of 40 which is 16. The remaining amount is 24 questions and half of that is 12. So she answered 12 questions in 15 mins. Finally you add them to get 28 questions in 25 minutes.

3 0

3 years ago