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krok68 [10]
3 years ago
13

Bag has 4 marbles,one read and three blue. Bag B has 8 marbles,two red and six blue.what is the probability of picking a red fro

m bag A and picking a red from Bag B
Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer:

First bag: 1/4.  Second bag 1/4

Step-by-step explanation:

Bag one have one red marble and 3 blues, which represent a quarter of the total amount, so if the blue marbles are three quarters, the possibility of picking a red one is of one quarter.

The same applies to the second bag, you have a total of 8 marbles and 2 of them are red, that represents a total of one quarter.

The possibilities of picking a red marble in bag A and B are the same: 1/4 one quarter

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If x= 7 - 4√3 then find the value of (a) (x+1/x) rais to 2 b) x rais 2+1/x rais to 2
ololo11 [35]

The equation x = 7 - 4√3 is a radical expression, and the value of the radical expression is (x + \frac 1x)^2 = 3650401 -2107560\sqrt 3

<h3>How to solve the expressions?</h3>

The equation is given as:

x = 7 - 4√3

So, we have:

(x + \frac 1x)^2 = (7 - 4\sqrt 3 + \frac{1}{7 - 4\sqrt 3})^2

Take the LCM

(x + \frac 1x)^2 = (\frac{49 -56\sqrt3 + 48}{7 - 4\sqrt 3})^2

Evaluate the like terms

(x + \frac 1x)^2 = (\frac{97 -56\sqrt3 }{7 - 4\sqrt 3})^2

Rationalize

(x + \frac 1x)^2 = (\frac{(97 -56\sqrt3)(7 - 4\sqrt 3) }{49 -48})^2

Evaluate the difference

(x + \frac 1x)^2 = ((97 -56\sqrt3)(7 - 4\sqrt 3))^2

Expand

(x + \frac 1x)^2 = (679 -388\sqrt 3 -392\sqrt 3 + 672)^2

Evaluate the like terms

(x + \frac 1x)^2 = (1351 -780\sqrt 3 )^2

Expand

(x + \frac 1x)^2 = 1825201 +1825200 -2107560\sqrt 3

(x + \frac 1x)^2 = 3650401 -2107560\sqrt 3

Hence, the value of the radical expression is (x + \frac 1x)^2 = 3650401 -2107560\sqrt 3

Read more about radical expressions at:

brainly.com/question/8952483

#SPJ1

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A cone has a radius of 4 units and a height of 6 units. Its volume is (A. 96 / B. 100.48 / C. 301.44 / D. 401.92) cubic units. I
Fed [463]

Answer:

<h2>A cone: B. V = 100.48 cubic units</h2><h2>A cylinder: C. V = 301.44 cubic units</h2>

Step-by-step explanation:

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

<em>r</em> - radius

<em>H</em> - height

We have <em>r = 4 u</em> and <em>H = 6 u</em>. Substitute:

V=\dfrac{1}{3}\pi(4^2)(6)=\dfrac{1}{3}\pi(16)(6)=\dfrac{1}{3}\pi(96)=32\pi\ u^3

\pi\approx3.14\to V\approx(32)(3.14)=100.48\ u^3

If the cylinder has the same radius and height as a cone, then the volume of the cylinder is three times larger than the volume of the cone.

Therefore, the volume of acylinder:

V\approx3(100.48)=301.44\ u^3

Why?

The formula of a volume of a cone:

V_{cone}=\dfrac{1}{3}\pi r^2H

The formula of a volume of a cylinder:

V_{cylinder}=\pi r^2H

Therefore

V_{cone}=\dfrac{1}{3}V_{cylinder}\to V_{cylinder}=3V_{cone}

If the radius and height are the same.

8 0
3 years ago
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