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Mariulka [41]
2 years ago
5

Reuben has scored 70, 75, 83, and 80 on four Spanish quizzes. What score must he get on the next quiz to get an average of at le

ast 80?
Mathematics
2 answers:
butalik [34]2 years ago
6 0

Answer:

Step-by-step explanation:

MY D. I. C. K.

inna [77]2 years ago
6 0

Answer:

92

Step-by-step explanation:

Let x be the additional number.

Therefore Reuben score will be

70, 75, 83, 80 and x.

From the question, we were told that the next mark will make Reuben to have an average of 80. This can be illustrated below:

Mean = sum of marks / numbers of mark

Mean = 80

Number of mark = 5

80 = (70 + 75 + 83 + 80 + x) / 5

80 = (308 + x) / 5

Cross multiply

308 + x = 80 x 5

308 + x = 400

Collect like terms

x = 400 — 308

x = 92

Reuben must score at least 92

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Answer:

  • <em>m</em> = \frac{1}{20}
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Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.

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<u>Given</u>: The decay parameter is, \frac{1}{20}

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Compute the probability that a person is willing to commute more than 25 miles as follows:

P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

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