Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of a
1 answer:
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<h3>Answer: Choice B</h3>
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Explanation:
The requirements for a probability distribution are this
- The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say
where p is an individual probability.
- The probabilities must sum to 1.
Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.
We can also rule out choice D since the probabilities sum to this
0.20+0.15+0.20+0.20+0.20+0.20 = 1.15
The sum is too large. The sum needs to be 1.00 or just 1.
So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.
For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.
A rose costs $2.5 and a carnation costs $3.
Step-by-step explanation:
Let,
Roses = x
Carnations = y
According to given statement;
8x+10y=50 Eqn 1
6x+12y=51 Eqn 2
Multiplying Eqn 1 by 6;
Multiplying Eqn 2 by 8;
Subtracting Eqn 3 from Eqn 4;
Dividing both sides by 36;
Putting y=3 in Eqn 3;
Dividing both sides by 48;
A rose costs $2.5 and a carnation costs $3.
Keywords: linear equations, subtraction
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Answer:
Step-by-step explanation:
Use the distributive property.
<h3>What is a distributive property?</h3>Distributive property is a serving to distribute or allot or disperse.
<u>Distributive property:</u>
A(B+C)=AB+AC
A(B-C)=AB-AC
-10(1-9x)+6(x-10)
<u>Expand.</u>
-10(1-9x)
-10*1=-10
-10*9x=90x
6(x-10)
6*x=6x
6*10=60
6x-60
<u>Rewrite the problem down.</u>
= -10+90x+6x-60
<u>Combine like terms.</u>
90x+6x-10-60
<u>Add the numbers from left to right.</u>
90x+6x=96x
96x-10-60
<u>Finally, subtract the numbers from left to right.</u>
-10-60=-70
Therefore, the final answer is<u> 96x-70.</u>
I hope this helps, let me know if you have any questions.
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