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erastova [34]
3 years ago
14

Select the action you would use to solve x-3=12. Then select the property that justifies the action

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

The right options are A and D.


Explanation:


1. Option A.

<u>The action is:</u> <em>Add 3 to both sides</em>. This means that we need to do the following operation:

x - 3 = 12

∴ x - 3 + 3 = 12 + 3

∴ x = 15

So, the solution of this problem is x = 15.


2. Option D.

<u>The property is:</u> <em>Addition property of equality. </em>This is the property we are chosen because we need to isolate the variable x. To do that, we need to add a number of each side of the equation to find our goal and this property allows us to get our goal.

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Answer:

a) P(X

P(X>14) = 1-P(X

b) P(7< X

c) We want to find a value c who satisfy this condition:

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And using the cumulative distribution function we have this:

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And solving for c we got:

c = 20*0.9 = 18

Step-by-step explanation:

For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

X \sim Unif (a=0, b =20)

Part a

We want this probability:

P(X

And for this case we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}

And using the cumulative distribution function we got:

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For the probability P(X>14) if we use the cumulative distribution function and the complement rule we got:

P(X>14) = 1-P(X

Part b

We want this probability:

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And using the cdf we got:

P(7< X

Part c

We want to find a value c who satisfy this condition:

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And using the cumulative distribution function we have this:

P(x

And solving for c we got:

c = 20*0.9 = 18

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3 years ago
What percent of 65 is 16? <br><br> About 14% <br> About 24.62% <br> About 12.7% <br> About 2.46%
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Answer: 75

Step-by-step explanation:

To find the value of 6c-15, we first want to finc the value of c. Once we find c, we can plug it in and solve.

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Now that we have the value of c, we can plug it in and solve.

6(15)-15                 [multiply]

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75

The value is 75.

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