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storchak [24]
3 years ago
14

Harold randomly selected one square tile and one round tile from the sets shown below. What is the probability that Harold selec

ted a pink square tile, and either a red or a blue round tile ?
A. 3/5
B. 14/60
C. 1/9
D. 4/45

Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0

Answer:

  C.  1/9

Step-by-step explanation:

Assuming the selections are independent, their joint probability is the product of the probabilities of the individual events.

  P(pink square) = (# pink squares)/(# squares) = 16/60 = 4/15

  P(red or blue round) = (#red or blue rounds)/(# rounds) = 15/36

Then the joint probability is ...

  P(defined event) = (4/15)(15/36) = 4/36 = 1/9

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Answer:

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Step-by-step explanation:

Let x be the amount Kyle invests in the 10% account.

0.1x + 0.07(11200 - x) = 958

0.1x + 784 - 0.07x = 958

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4 0
3 years ago
Angles A and B are supplementary. Angle A is 73° . Find the
Mnenie [13.5K]

Answer:

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Step-by-step explanation:

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Find an equation of the line that goes through the points (10,34) and (-1,10)
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Answer:

Given points are ( 10 ,34 ) and ( -1 , 10)

Step-by-step explanation:

<em>The </em><em>equation</em><em> </em><em>of </em><em>line </em><em>is </em><em>given </em><em>by </em>

<em>first </em><em>we </em><em>can </em><em>find </em><em>slope </em><em>(</em><em>m</em><em>) </em>

<em>=</em><em> </em><em>(</em><em>y2 </em><em>-</em><em> </em><em>y</em><em>1</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>x2</em><em> </em><em>-</em><em> </em><em>x1</em><em>)</em>

<em>=</em><em> </em><em>3</em><em>4</em><em>-</em><em>1</em><em>0</em><em>/</em><em>1</em><em>0</em><em>+</em><em>1</em>

<em> </em><em>=</em><em>2</em><em>4</em><em>/</em><em>1</em><em>1</em>

<em>Now </em><em>the </em><em>equation </em><em>is</em>

<em>y </em><em>-</em><em> </em><em>y1 </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x1) </em>

<em>y </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em>/</em><em>1</em><em>1</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em>1</em><em>1</em><em>)</em>

<em>11 </em><em>(</em><em> </em><em>y </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>1</em><em>1</em><em>)</em>

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3 0
3 years ago
PLEASE HELP SOON. Answer any amount.
LiRa [457]
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6 0
3 years ago
Write an equation of the translated function of the parent function f(x)=|x| with the following transformations:
MrRa [10]

Answer:

Option b

Step-by-step explanation:

To write the searched equation we must modify the function f (x) = | x | in the following way:

1. Do y = f(x + 4)

This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.

y = | x +4 |

2. Do y = f (\frac{1}{4}x)

This operation horizontally expands the function f (x) = | x | in a factor of 4 units. y = |\frac{1}{4}x + 1|

3. Do y = f(x)-4

This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

y = |\frac{1}{4}x +1| -4

4. After these transformations the function f(x) = | x | it looks like:

f(x) = |\frac{1}{4}x +1| -4

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)

f(-4) = |\frac{1}{4}(-4) +1| -4 = -4

8 0
3 years ago
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