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Illusion [34]
3 years ago
12

On a fair, 8-sided die, each face is painted as follows: the 1 and 2 are painted green, 3 through 6 are painted blue, 7 is paint

ed yellow, and 8 is painted gray. If the die is rolled one time, what is the probability that the roll will show an even number AND a face that is painted blue? Provide the final answer as a fraction.
Mathematics
1 answer:
Alinara [238K]3 years ago
7 0

Answer:

0.25

Step-by-step explanation:

outcomes painted in blue: {3, 4, 5, 6}

number of even outcomes painted in blue: 2

number of total outcomes: 8

Therefore, the probability that the roll will show an even number and a face that is painted blue is: 2/8 = 0.25

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For example
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Step-by-step Times each side and you will get you answer find your area

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Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James
rosijanka [135]

Blake saved \bold{\$ 433.80}

Option - A

<u>SOLUTION: </u>

Given, Blake and James are planning to go on a trip.  

Blake already has some money saved.  

Let the amount saved by Blake be \$ n.

She earns \$96 more by working overtime.  

Then, total amount by Blake =\$(n+96)

James has \$ 53 more than 4 times the amount of money that Blake has saved.  

Then, total amount by James will be \$ 53+4 \times \$ n=\$(4 n+53)

If they have \$2,318 in all, we have to find how much money had Blake originally saved

Now, total amount = \$2318

\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}

7 0
3 years ago
I need help ASAP. Please solve and show <br><br> 3x-4+1=-2x-5+5x
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Answer:

\large \boxed{\text{There is no solution}}

Step-by-step explanation:

\begin{array}{rcll}3x - 4 + 1 & = & -2x - 5 + 5x & \\3x - 3 & = & 3x - 5 & \text{Combined like terms on each side}\\-3 & = & -5 & \text{Subtracted 3x from each side}\\\end{array}\\\text{This is impossible. There is $\large \boxed{\textbf{no solution}}$ to the equation.}

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Answer:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step-by-step explanation:

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3 years ago
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