<span><span>1.
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<span>12 is what percent of 30:
Ok let’s try to analyze the problem.
First, this problem is asking us to determine what the percentage of 12 out of
30 is.
=> 30 is equals to 100% of the number
=> 12 is the X% of the number.
Solutions:
=> 12 / 30 = 0.4
now, multiply this with 100% to get the percentage rate of this decimal number.
=> .4 * 100% = 40%
Therefore, 1 is 40% of the number 30.</span>
Will represent as such
number of 37 inch tvs=x
number of 58 inch tvs=y
number of 50 inch tvs =z
x is double of (y+z)
x=2(y+z)
y=z
therefor
x=2(y+y)=2(z+z)=4y=4z
x=4y=4z
y=$4800
z=$2000
x=$1800
4800y+2000z+1800x=168000
undistribute the 100
100(48y+20z+18x)=100(1680)
divide the whole thing by 100
48y+20z+18x=1680
divide the whole thing by 2
24y+10z+9x=840
y=z
24y+10z=34y or 34z
34y+9x=840
convert 9x to y by multiply 4
9x times 4=36y or 36z
34y+36y=840
70y=840
divide both sides by 70
y=12
y=z
z=12
x=4z
x=4(12)
x=48
they should stock:
12 50 inch tvs
12 58 inch tvs
48 38 inch tvs
The boundary for the first inequality: y> x+3 is the line y=x+3 and will be excluded (dashed) from the highlighted area because of the absence of equality sign.
The boundary for the second inequality: y <= 3x-3 is the line y=3x-3, and will show in solid because of the presence of the equal sign.
Please see the image attached showing your original graph with the first inequality in blue, the second in red. Note the y intercepts highlighted by a dot, and also verify the slopes: 1 and 3, respectively.
The solution to the system if inequalities is the area with both shadings overlapping.
Let me know if you have questions.
Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2
Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
I think diagram of number D show the inverse of R[X]
