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IceJOKER [234]
2 years ago
5

Charles earns $8.75 per hour at his part-time job. On Sunday, he worked 4.25 hours. What were his total earnings for the day?

Mathematics
1 answer:
Step2247 [10]2 years ago
7 0
Ok so if he earns 8.75 per hour the we have to multiply 8.75*4.25=37.1875 so in total he earns 37.19
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The quotient of two numbers is negative. It must be true that _____.
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It must be true that one of the numbers is negative. Hope that helps!!
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3 years ago
Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

  • p=0.7103 (4-game series)
  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
2 years ago
What is the sum of the answers to the eqation?<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%205%2
MAVERICK [17]

Answer:

6

Step-by-step explanation:

x^{2} - 6x +5 = 0

x^{2} - 6x + 9 -9 +5 = 0

[x^{2} - 6x + 9] - 4 =0

(x -3)^{2} -4 = 0

(x -3)^{2} = 4

(x-3) = \sqrt{4} or (x-3) = - \sqrt{4}

(x-3) = 2 or (x-3) = -2

x = 5 or x = 1

therefore, sum of these solutions is 5+1 = 6

4 0
3 years ago
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1.125 in simplest form is 1 1/8
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2 years ago
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Please answer and no explanation needed
rewona [7]
Wait isn’t it 30 or am I reading it wrong?
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2 years ago
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