We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
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Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:
We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.
Answer:
The probability is 0.8
Step-by-step explanation:
The key to answering this question is considering the fact that the two married employees be treated as a single unit.
Now what this means is that we would be having 8 desks to assign.
Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!
Now, the number of ways the couple can interchange their desks is just 2 ways
Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)
The number of ways to assign desks among all six employees randomly is 9!
Thus, the probability that the couple will have adjacent desks would be ;
2(8!)/9! = 2/9
This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778
Which is 0.8 to the nearest tenth of a percent
Answer:-3x+12
Step-by-step explanation:
Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem, we have that:
- The vertical distance is the height of h.
- The horizontal distance is of 3m.
Hence:
tan(45º) = h/3.
1 = h/3.
h = 3 m.
If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:
More can be learned about the slope concept at brainly.com/question/18090623
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<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3
Original cone = (3.14 * 6^2 * 12) / 3
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<span><span>Original cone = 452.16
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cc
</span>Larger cone = <span>(3.14 * 6^2 * 18) / 3 = </span>
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<span>
<span>
678.24
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</span>
</span>
cc
Difference = <span>(678.24 -452.16) = </span>
<span>
<span>
<span>
226.08
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