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MaRussiya [10]
3 years ago
9

45.Erica Glaser deposits a check for $20,005.00 and $1.234.00 in cash. What is het total

Mathematics
1 answer:
Gwar [14]3 years ago
5 0
Her total is $21,239
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In a state where license plates contain six digits, what is the probability that the license number of a randomly selected car h
andre [41]

Answer:

Step-by-step explanation:

Given : In a state where license plates contain six digits.

Probability of that a number is 9 = \dfrac{1}{10}   [Since total digits = 10]

We assume that each digit of the license number is randomly selected  .

Since each digit in the license plate is independent from the other  and there is only two possible outcomes for given case (either 9 or not), so we can use Binomial.

Binomial probability formula:  P(X=x)=^nC_xp^x(1-p)^{n-x}

, where n= total trials , p = probability for each success.

Let x be the number of 9s in the license plate number.

X\sim Bin(n=6, p=\dfrac{1}{10}})

Then, the probability that the license number of a randomly selected car has exactly two 9's will be :

P(X=2)=^6C_2(\dfrac{1}{10})^2(1-\dfrac{1}{10})^{6-2}\\\\=\dfrac{6!}{2!(6-2)!}(\dfrac{1}{100})(\dfrac{9}{10})^4=0.098415

Hence, the required probability = 0.098415

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3 years ago
An acid is prepared by mixing 400 mL of water and 100 mL of pure sulfuric acid. What is the
Natasha2012 [34]
C. 25
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Divide 400/100=4
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The sum of twice a number p and 6 is 12
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