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AnnyKZ [126]
4 years ago
6

Find the positive difference between the two solutions to the equation

rt%5B3%5D%7B4%20-%20%5Cfrac%7Bx%5E2%7D%7B3%7D%7D%20%3D%20-2%20" id="TexFormula1" title=" \displaystyle\sqrt[3]{4 - \frac{x^2}{3}} = -2 " alt=" \displaystyle\sqrt[3]{4 - \frac{x^2}{3}} = -2 " align="absmiddle" class="latex-formula">.
The answer is NOT 0.
Mathematics
1 answer:
Verizon [17]4 years ago
8 0

\displaystyle\sqrt[3]{4 - \frac{x^2}{3}} = -2 \\\\ 4-\dfrac{x^2}{3}=-8\\\\ 12-x^2=-24\\\\ x^2=36\\\\ x=6 \vee x=-6\\\\ 6-(-6)=6+6=12

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Answer:

The sides are triangles. The total number of faces of a pyramid is one more than the number of edges of the base polygon. A prism has two bases and rectangular sides.To find the surface area of a pyramid, find the area of the base and the areas of all the triangular sides and add them together.

Step-by-step explanation:

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Ben can use 3 cups of flour to make 2 batches of cookies. If he has 6 cups of flour, then how many batches of cookies can he mak
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4 batches of cookies

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3 years ago
Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t
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Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6)  =\dfrac{20}{36}

The probability distribution of this event is given as follows.

\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|

First, we determine the expected Value of this event.

Expected Value

=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning  =\dfrac{20}{36}

If the game is played 100 times

Number of times expected to win

=\dfrac{20}{36} \times 100\\=56$ times

Therefore, number of times expected to loose

= 100-56

=44 times

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Write your answer as a fraction or as a whole mixed number 16 3/4 - 8 1/4=
SIZIF [17.4K]

Answer:

8 1/2

Step-by-step explanation:

3/4 - 1/4 = 2/4 = 1/2

16 - 8 = 8

8 + 1/2 = 8 1/2

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