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Minchanka [31]
2 years ago
15

Someone please answer this!!!

Mathematics
1 answer:
Anni [7]2 years ago
8 0

Answer:

1. 2 eggs 2. 53 mph 3. $8 per hour 4. 1 \frac{3}{4} gal per hour

Step-by-step explanation:

1. There are 4 eggs used in 2 batches. For one batch, you divide 4 eggs by 2 batches to get 2 eggs for each batch.

2. There are 265 miles in total, so to get the average speed each hour, you divide the total by 5 hours to get 53 miles per hour.

3. In 7 hours, he got $56. Divide 56 by 7 to get the pay each hour, which would be $8 per hour.

4. In a half hour, the swimming pool has leaked a certain amount of water. Double that to get how many gallons per hour. \frac{7}{8} * 2= 1 \frac{3}{4} gallons per hour.

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Searches related to Kathy spent 3 fifths of her money on a necklace and 2 thirds of the remainder on a bracelet. If the bracelet
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Step-by-step explanation:

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3 years ago
If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
Alex17521 [72]

Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

3 0
2 years ago
Read 2 more answers
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She will have $500 in 5 days because when she takes out the 20 every week she will have had $100 so to make $500 she will have to have made 5 $100
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3 years ago
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