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guapka [62]
2 years ago
14

The sides of a number cube have the numbers 1,3,5,3,6, and 5. IF the cube is thrown once, what is probability of rolling a 5 ?

Mathematics
2 answers:
Anika [276]2 years ago
8 0
The probability of rolling a 5 is 1/6 possible
lianna [129]2 years ago
3 0
The probability is 2/6 because there is two 5's and one of every other answer
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Water pours into a tank at the rate of 2000 cm3/min. The tank is cylindrical with radius 2 meters. How fast is the height of wat
Gennadij [26K]

Volume of water in the tank:

V=\pi (2\,\mathrm m)^2h=\pi(200\,\mathrm{cm})^2h

Differentiate both sides with respect to time <em>t</em> :

\dfrac{\mathrm dV}{\mathrm dt}=\pi(200\,\mathrm{cm})^2\dfrac{\mathrm dh}{\mathrm dt}

<em>V</em> changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for d<em>h</em>/d<em>t</em> :

2000\dfrac{\mathrm{cm}^3}{\rm min}=\pi(40,000\,\mathrm{cm}^2)\dfrac{\mathrm dh}{\mathrm dt}

\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{2000}{40,000\pi}\dfrac{\rm cm}{\rm min}=\dfrac1{20\pi}\dfrac{\rm cm}{\rm min}

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)

7 0
3 years ago
Yeaaaaaaaaaa help plzzzzzzzzzz
Tju [1.3M]

Answer:

See Explanation

Step-by-step explanation:

Given

The attached graph

Required

Point on the line

The options are not given. So, I will provide general answers.

To do this, we simply write out the coordinates that lie on the line.

Some of them are:

(0.5,3)

(1.25,8)

(1.5,10)

8 0
2 years ago
Find the value of x in each case. Give reasons to justify your solutions!
ANEK [815]

Answer:

  x = 11°

Step-by-step explanation:

The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:

  ∠CAB = 33°

5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:

  5x = 2x + 33°

  3x = 33° . . . . . . . . . subtract 2x

  x = 11° . . . . . . . . . . . divide by 3

6 0
2 years ago
Read 2 more answers
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