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3 years ago

9

A basket contains 4 green marbles and 8 blue marbles. a marble is drawn without replacement. then another marble is drawn. what

is the probability that both marbles will be green?

1 answer:

irina1246 [14]3 years ago

3 0

4/12 reduces to 1/3 and 1/3 * 3/11 = 1/11

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Angles R and O are congruent. In similar triangles, corresponding angles are congruent. O and R are both the last angle in their triangles making them corresponding.

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2 years ago

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pav-90 [236]

Measure of Angle 2 = 100 degrees
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2 years ago

A company is paying a local television station to run its commercials. The cost for running commercials is a one-time campaign f

Margarita [4]

The y-intercept is the value of y when x is equal to zero. From the equation,

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2 years ago

When I think of a number, double it, then add seven, I get 25. what number did I think of?

sweet [91]

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9

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2 years ago

Read 2 more answers

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph

diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines : y = √x, y = 2, x = 0.

<u>a) The x-axis </u>

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {y.y^2} \, dy$

∴ Vol = 8π

<u>b) The line y = 2 ( using the shell method )</u>

p = 2 - y

h = y^2

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy$

= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀

∴ Vol = 8/3 π

<u>c) The y-axis ( using shell method )</u>

h = 2-y = h = 2 - √x

p = x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

= $(2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx$

= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

<u>d) The line x = -1 (using shell method )</u>

p = 1 + x

h = 2√x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

Hence vol = 176/15 π

attached below is the graphical representation of P and h

3 0

3 years ago