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daser333 [38]
2 years ago
15

Susan made $357 for 17 hours of work.

Mathematics
1 answer:
rjkz [21]2 years ago
7 0

Answer:

$189

Step-by-step explanation:

first, divide 357/17 to find the unit rate, which is $21/hour, then multiply 21*9 to find how much she would make in 9 hours. 21*9 = 189, so she would make $189.

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A standard deck of cards contains 52 cards. One card is selected from the deck.​(a)Compute the probability of randomly selecting
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a. There are four 5s that can be drawn, and \binom43=4 ways of drawing any three of them. There are \binom{52}3=22,100 ways of drawing any three cards from the deck. So the probability of drawing three 5s is

\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of \frac8{52}=\frac2{13}\approx0.15 of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability \frac{12}{52}=\frac3{13}\approx0.23 of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of \frac{16}{52}=\frac4{13}\approx0.31.

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Note: \binom nk is the binomial coefficient,

\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k

6 0
3 years ago
In isosceles △ABC the segment BD (with D∈ AC ) is the median to the base AC . Find BD, if the perimeter of △ABC is 50m, and the
Morgarella [4.7K]

Let the equal sides of the isosceles Δ ABC be x.

Given that the perimeter of Δ ABC = 50m.

Therefore, 2x + AC = 50 --- (1)

It is also given that the perimeter of Δ ABD = 40m.

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BD is the median of the Δ ABC. Therefore, D is the midpoint of AC.

So AD = CD.

Or, AD = \frac{1}{2} AC

Therefore, x + BD + \frac{1}{2} AC = 40

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3 years ago
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<h3>What is nuclear reaction?</h3>

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Learn more about nuclear reaction: brainly.com/question/25455333?

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.08 x .04 is the right answer

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