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vazorg [7]
3 years ago
6

Evaluate the problem ??? Does anyone know ?

Mathematics
1 answer:
Rudiy273 years ago
6 0
<h2>Greetings!</h2><h3>Whenever something is to the power of a half, it is square rooting the contents. In this case it is:</h3>

\frac{\sqrt{25} }{\sqrt{36} }

<h3>Which simplifies down to:</h3>

\frac{5}{6}

<h3>Because 25 and 36 are square numbers!</h3>
<h2>Hope this helps!</h2>
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A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inc
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\sf Cylinder ~volume = \pi r^2 h \\  \\ v = \pi (4)^2(9) \\  \\ v=\pi (16)(9) \\  \\ v=144 \pi  \\ v=452.16\\  \\  \\ Cone~volume = \frac{1}{3} \pi r^2 h \\  \\ v =  \frac{1}{3} \pi (4)^2 (18) \\  \\ v=96 \pi \\ v=301.44 \\  \\  \\ The~ volume ~of ~a ~cylinder ~is~ 1.5~ times~ more ~than ~the ~volume ~of~a~cone.
4 0
3 years ago
Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)
lisov135 [29]

Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

3 0
3 years ago
Compute the conditional probabilities from the two-way frequency table.
Natali5045456 [20]

Answer:

The table is show clearly in the figure attached.

P(boy if favourite activity is swimming) = 8/17 = 0.47

P(girl if favourite activity is sport) = 7/27 = 0.26

P(girl if favourite activity is reading) = 4/6 = 0.67

P(boy if favourite activity is sport) = 20/27 = 0.74

P(favourite activity is swimming if a girl) = 9/20 = 0.45

P(favourite activity is reading if a boy) = 2/30 = 0.07

P(favourite activity is swimming if a boy) = 8/30 = 0.27

P(favourite activity is reading if a girl) = 4/20 = 0.2

6 0
3 years ago
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