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3 years ago

9

Daniella flipped a coin and spun a spinner that is divided into four equal-size sectors colored red, yellow, green, and orange.

Write the sample space of all the possible outcomes.

1 answer:

leonid [27]3 years ago

7 0

here are 8 different possible outcomes in the sample space. There are 2 outcomes for the coins, heads and tails. And 4 colors for the spinner.

If you put them together, you have:

H - R

H - G

H - Y

H - O

T - T

T - G

T - Y

T - O

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RoseWind [281]

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if its 4 as a whole number 4/1

Step-by-step explanation:

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3 years ago

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Simora [160]

Answer:

We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.

If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D

We know that the area of the larger circle is:

A = 100*pi cm^2.

And the area of a circle of diameter d, is:

a = pi*(d/2)^2

knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.

A = pi*( (5/3)*D/2)^2 = 100*pi cm^2

let's solve this for D:

pi*( (5/3)*D/2)^2 = 100*pi cm^2

( (5/3)*D/2)^2 = 100 cm^2

( (5/3)*D/2) = √(100 cm^2) = 10cm

D/2 = (3/5)*10cm

D = 2*(3/5)*10cm = 12cm.

Then the area of the smaller circle will be:

a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2

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3 years ago

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Step-by-step explanation:

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3 years ago

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Answer:

$x=18,y=6$ , graph is there for reference.

Step-by-step explanation:

Given,

$x$ is the number of math problem Lucy solved.

$y$ is the number of pages she read.

She can do each math problem in $5$ minutes, therefore she can solve $x$ number of questions into $5 \times x=5x$ minutes.

She can read each page in $2.5$ minutes, therefore she can read $y$ pages in 2.5y minutes.

As per given detail,

$5x+2.5y=105$ equation 1.

And,

It is given that number of math problems Lucy solved is 3 times the number of pages she read.

$x=3y$ equation 2.

We need to find $x$ and $y$ intercept of each of the equation to graph them.

For $x-intercept$ put y=0

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Thus the point is $(42,0)$

Join these two points.

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Here x-intercept would be at $y=0$

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4 years ago

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GenaCL600 [577]

-3/5 is rational number

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3 years ago

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