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3 years ago

If you were to roll a six sided die, 6 TIMES. How many times would you predict that it would land on a number GREATER than 4?

Mathematics

1 answer:

Natali [406]3 years ago

6 0

Answer:

2/6 times

Step-by-step explanation:

only side 5 and 6 are greater than four and with fair rolls you would expect the die to land on each side once. So 2/6 times you would expect a roll greater than 4.

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Y>2x y>3 orderd pair

Ipatiy [6.2K]

<h2>Answer:</h2>

<h2>Step-by-step Explanation;</h2>

$y > 2x \: y \: > \: 3 \: \\ solve \: for \: x \\ x \: € \: ( \frac{3}{2y} \: \frac{1}{2} )\: y > \: 3 \\ solve \: for \: y \\ y \: > \: \frac{3}{2x} \: x \: > \: 0 \: and \: x \: < \: \frac{1}{2}$

<h2 />

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6 0

3 years ago

Using the given information, give the vertex form equation of each parabola.

Amanda [17]

Answer:

The equation of parabola is given by : $(x-4) = \frac{-1}{3}(y+3)^{2}$

Step-by-step explanation:

Given that vertex and focus of parabola are

Vertex: (4,-3)

Focus:( $\frac{47}{12}$ ,-3)

The general equation of parabola is given by.

$(x-h)^{2} = 4p(y-k)$ , When x-componet of focus and Vertex is same

$(x-h) = 4p(y-k)^{2}$ , When y-componet of focus and Vertex is same

where Vertex: (h,k)

and p is distance between vertex and focus

The distance between two points is given by :

L= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

For value of p:

p= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

p= $\sqrt{(4-\frac{47}{12})^{2}+((-3)-(-3))^{2}}$

p= $\sqrt{(\frac{1}{12})^{2}}$

p= $\frac{1}{12}$ and p= $\frac{-1}{12}$

Since, Focus is left side of the vertex,

p= $\frac{-1}{12}$ is required value

Replacing value in general equation of parabola,

Vertex: (h,k)=(4,-3)

p= $\frac{-1}{12}$

$(x-h) = 4p(y-k)^{2}$

$(x-4) = 4(\frac{-1}{12})(y+3)^{2}$

$(x-4) = \frac{-1}{3}(y+3)^{2}$

8 0

3 years ago

The amounts of household waste generated in a region during two years were 23,400,000 tons and 48,100,000 tons. What was the tot

trasher [3.6K]

The first step to do is to calculate first the total household waste generate for the two years. That is:

total waste generated = 23,400,000 tons + 48,100,000 tons

total waste generated = 71,500,000 tons

Now, to write either a very big number or a very small number in a form of scientific notation simply means to write it in a decimal form such as: 12.5 * 10^10

Now to write 71,500,000 in scientific notation, the decimal form is 7.15, however we still need to find out the * 10^n factor. The value of n depends on the number of places the decimal point was moved. If the movement was from right to left, the value of n is positive and if the movement was from right to left, the value of n is negative. Since the decimal point was moved by 7 places, hence the complete scientific notation is:

7.15 * 10^7 tons

8 0

3 years ago

PLEASE HELP

elixir [45]

Answer:

Ratio states that it shows the relative sizes of two or more values.

i,e a to b or a: b or $\frac{a}{b}$