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slava [35]
3 years ago
12

gavin and play a game with 20 numbered balls. The 20 balls are numbered from 1 to 20. Write down the probability that the score

is a multiple of 3.​
Mathematics
2 answers:
OLEGan [10]3 years ago
8 0

Answer:

\frac{3}{10}

Step-by-step explanation:

The multiplies of 3 from 1-20 are:

3, 6, 9, 12, 15, 18

Since there are 20-1+1=20 numbers from 1-20 inclusive, the probability that a ball is a multiple of 3 is \frac{6}{20}=\boxed{\frac{3}{10}}

Vladimir79 [104]3 years ago
7 0

Step-by-step explanation:

6/20

3/10 (simplified)

do you want the percentage?

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The radius r(t)r(t)r, (, t, )of the base of a cylinder is increasing at a rate of 111 meter per hour and the height h(t)h(t)h, (
sp2606 [1]

Answer:

The volume is decreasing at a rate 20π cubic meter per hour.

Step-by-step explanation:

We are given the following in the question:

The radius is increasing at a rate 1 meter per hour.

\dfrac{dr}{dt} = 1\text{ meter per hour}                

The height is decreasing at a rate 4 meter per hour  

\dfrac{dh}{dt} = -4\text{ meter per hour}

At an instant time t,

r = 5 meter

h = 8 meters

Volume of cylinder =

\pi r^2 h

where r is the radius and h is the height of the cylinder.

Rate of change of volume is given by:

\dfrac{dV}{dt} = \dfrac{d(\pi r^2 h)}{dt}\\\\\dfrac{dV}{dt} = 2\pi rh\dfrac{dr}{dt} + \pi r^2\dfrac{dh}{dt}

Putting all the values we get,

\dfrac{dV}{dt} = 2\pi (5)(8)(1) + \pi (5)^2(-4)\\\\\dfrac{dV}{dt} = 80\pi - 100\pi = -20\pi \approx -62.8

Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.      

3 0
3 years ago
Evaluate 7-3s for s= -3​
OleMash [197]

Answer:

16

Step-by-step explanation:

Substitute s = - 3 into the expression

7 - 3(- 3) = 7 + 9 = 16

5 0
2 years ago
What is 65% of 93 ?
Fantom [35]

Answer:

60.45

please give this brainliest!!

Step-by-step explanation:

65% of 93 is 60.45

i hope this helps, have a good day!!

3 0
3 years ago
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Someone please help me! Studying for finals and don’t understand how to complete problems like this! Thank you!
Drupady [299]

Answer:

(d). \frac{152}{377}

Step-by-step explanation:

sin² β + cos² β = 1

cos (α + β) = cos α cos β - sin α sin β

cos α = √(1 - \frac{400}{841} ) = 21 / 29

cos β = 12 / 13

sin β = √(1 - \frac{144}{169} ) = 5 / 13

sin α = 20 / 29

cos (α + β) = \frac{21}{29} × \frac{12}{13} - \frac{20}{29} × \frac{5}{13} = \frac{152}{377}

6 0
3 years ago
GUYS, PLEASE ANSWER MY QUESTION! Please it's due today, everybody else got their questions answered! Listen to me!
Xelga [282]

Answer:

Arianna is correct

Step-by-step explanation:

She is correct because they need to find how much is the discounted price, which is 3. So to see what percentage it is, they need to see how much 3 is worth in comparison to 15. If we spilt 15 into 5 parts to make every part worth 20%, the answer would be 3. Thus Arianna is correct.

6 0
3 years ago
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