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Marrrta [24]
3 years ago
7

Wade borrowed $12,500 from his uncle at 4.5% simple interest to use for travel and repaid the loan in 4 years. How much did he p

ay back?
Mathematics
1 answer:
natali 33 [55]3 years ago
7 0
12,500 / 100 = 125    125 x 4.5 = 562.5      562.5 x 4 = 2250
2250 + 12,500 = 14,750       He paid back a total of $14,750. Hope this helps :)
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This is the quadratic formula

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During the past year in the maternity ward of a hospital in a large city, 1,254 males were born and 1,462 females. If we can ass
Afina-wow [57]
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What is the area? Bit confused on this one.
Nutka1998 [239]

Answer:

A = 9x² + 12x

Step-by-step explanation:

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3 years ago
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Mr. Nelson lost one of his students' test
amid [387]

Complete question :

Mr. Nelson lost one of his students' test papers. He knows that the other 4 students scored as follows: 60, 62, 56, 57. He also knows that the average score is 59.2. What is the score on the missing paper?

Answer:

61

Step-by-step explanation:

Given the following :

Total number of students = 4 + 1 missing = 5

Score on the four avaliable papers = 60, 62, 56, 57

Average score of the 5 papers = 59.2

Score on missing paper :

Sum of each score / number of papers

Sum of each score = sum of available scores + missing score

Let missing score = m

(60 + 62 + 56 + 57 + m) = 235 + m

Recall:

Average = total sum / number of observations

Hence,

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6 0
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
Marta_Voda [28]

Answer:

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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:  

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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

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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

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3 years ago
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