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Lelechka [254]
3 years ago
11

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the co

mpound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Mathematics
1 answer:
Volgvan3 years ago
8 0
Choosing the first tile:

At first, there are 7 tiles.
You are interested in choosing a 5. There is only one tile with a 5.
p(5) = 1/7


Choosing the second tile:
After the 5 has been taken, now there are 6 tiles left.
Only one tile has the number 6.
p(6) = 1/6

The overall probability of choosing a 6 after a 5 is the product of the individual probabilities:

p( 5 then 6) = 1/7 * 1/6 = 1/42

Answer: The probability of choosing a 5 and then a 6 is 1/42.
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Ten less than the quotient of a number and 3 is 8
sashaice [31]

Answer:

Step-by-step explanation:

x-10+3=8

x-7=8

x=15

4 0
2 years ago
ABCD is a rectangle. The measure of angle BCE is 4x-23 and the angle measure of angle DCE is 5+5x. Find the measure of angle BEC
Temka [501]
<h2>Explanation:</h2><h2></h2>

The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

\angle BCE=\beta \\ \\ \angle DCE=\theta

Every internal angle of any rectangle measures 90 degrees, so:

\beta +\alpha=90 \\ \\ (4x-23)+(5+5x)=90 \\ \\ \\ Isolating \ x: \\ \\ (4x+5x)+(5-23)=90 \\ \\ 9x-18=90 \\ \\ 9x=108 \\ \\ x=\frac{108}{9}=12

So:

\beta=4x-23=4(12)-23=25^{\circ}

So the measure of angle BEC can be found as follows:

We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So

\angle EBC=\beta

The sum of internal angles of any triangle add up to 180 degrees, so:

\beta + \beta+\angle BEC=180^{\circ} \\ \\ 2\beta+\angle BEC=180^{\circ} \\ \\ \angle BEC=180^{\circ}-2\beta \\ \\ \angle BEC=180^{\circ}-2(25^{\circ}) \\ \\ \angle BEC=180^{\circ}-50^{\circ} \\ \\ \boxed{\angle BEC=130^{\circ}}}

7 0
3 years ago
Write an inequality to represent the following scenario: Hagrid’s goal at the National Hotdog Eating Contest is to consume 32 ho
kotykmax [81]

To find the value of a variance add and subtract the variance from the original number.

The original number is 32 hot dogs.

The variance is 5 hot dogs.


32-5 = 27

32 + 5 = 37


This means he needs to eat between 27 and 37 hot dogs.


he inequality with variance is written as: 27 < h < 37

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2 years ago
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I think it is true but I am not 100% sure thought but good luck
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3 years ago
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Someone help on the first and number
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It is a mixed number because mixed mumbers have higher numerator than the denominator
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3 years ago
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