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2 years ago

In a game, the probability of winning is 1 out of 5. How many times could Lisa expect to win if she plays the game 85 times?

Mathematics

1 answer:

Murrr4er [49]2 years ago

3 0

Answer:

17 wins

Step-by-step explanation:

Given

P(winning) = 1/5

Number of games = 85

The number of winnings could simply be calculated as the product of the probability and number of games played.

Expected number of winning : P(winning) * number of games

Expected number of winning = 1/5 * 85 = 17 wins

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The answer should be 10,000.

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There are 6 diagonals that can be drawn from one vertex of an octagon, true or false.

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2 years ago

Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E

zalisa [80]

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

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2 years ago

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2 years ago

Which of the following stanements shows the inverse property of addition?

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Answer:

$0\cdot \:y+\left(-0\cdot \:y\right)=0$ the statement shows the inverse property of addition as the sum of a number and its inverse is zero.

Step-by-step explanation:

As we know that Inverse Property of Addition states if you add any number to its opposite, the result will be zero.

For example, 13 + (-13) = 0 shows that -13 is the additive inverse of 13.

In other words, the sum of a number and its inverse is zero.

Now checking from the available options,

$0y+\left(-0y\right)$

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$=0\cdot \:y-0\cdot \:y$

$\mathrm{Add\:similar\:elements:}\:0\cdot \:y-0\cdot \:y=0$

$=0$

Thus,

$0\cdot \:y+\left(-0\cdot \:y\right)=0$

Therefore, $0\cdot \:y+\left(-0\cdot \:y\right)=0$ the statement shows the inverse property of addition as the sum of a number and its inverse is zero.

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2 years ago