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erica [24]
3 years ago
7

From an urn containing 3 white and 2 black balls, two balls are drawn one after the other without replacement. What is the proba

bility that the first ball drawn is white and the second black?
Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

Answer:

There is a 3/5 chance of the first ball being white, and a 3/10 chance the second one is black.

Step-by-step explanation:

There are 5 balls, of which 3 are white, so you have a 3/5 chance of the first one being white. Then you have 2 white and 2 black balls. There is a 2/4 chance of picking a black ball. Multiply 3/5 and 2/4 to get 6/20, or 3/10 for choosing a white ball then a black ball.

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Jim gets a weekly allowance he keeps $8 for spending money saves $5 and gives $2 to charity how much is Jim's weekly allowance
olga55 [171]

Step-by-step explanation:

$15

He keeps 8. He saves 5 so 8+5=13

He also gives $2 to charity.

8+5+2= $15

3 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
2 years ago
Geoffrey is evaluating the expression (-3)^6(2^6)/(-3)^5(2^2) as shown below.
Alekssandra [29.7K]

Answer:

48.

Step-by-step explanation:

First you multiply the number by itself as many times as the number of the exponent is. In this case you <u>multiply -3 to itself 6 times which makes -729</u>, <u>2 to the 6th power is 64</u>, <u>-3 to the 5th power is -243, and 2 to the 2nd power is 4.</u> Then you <u>multiply -729 by 64 which makes -46656</u> and <u>multiply -243 by 4 which makes -972</u>, and then <u>divide -972 from -46656</u> <em>which makes 48</em>.

3 0
2 years ago
What is the slope, and what is the y-intercept of the line?
Oliga [24]
General\ equation\ for\ line\ in\ slope\ intercept\ form:&#10;\\\\y=ax+b\\&#10; a-slope\\ &#10;b-intercept\\\\ &#10;y=\frac{5}{4}x+9\\\\&#10;slope=\frac{5}{4}\\\\intercept=9
4 0
3 years ago
101 divided by 2 plus 4
kenny6666 [7]

Answer:

54.5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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