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2 years ago

There are 45 questions on your math exam. You answered 8/10 of them correctly. How many questions did you answer correctly?

Mathematics

2 answers:

schepotkina [342]2 years ago

6 0

Answer:

36 questions answered correctly

Step-by-step explanation:

8/10 = ?/45

8/10 = 36/45

maks197457 [2]2 years ago

5 0

Answer:

36 questions

Step-by-step explanation:

You multiply 8/10 by the total number of questions, 45, to find that you got 36 questions correct.

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The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0

2 years ago

Angle A is an acute angle in a right triangle

Brrunno [24]

Cos= 24/25

7^2+24^2=25^2

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2 years ago

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Find the median, first quartile, third quartile, and interquartile range of the data.

jasenka [17]

Answer:

Median: 55

First quartile: 26.5

Third quartile: 93

Interquartile range: 66.5

5 0

2 years ago

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A line passes through the points (7, 3) and (8, 3). What is its equation in slope-intercept form?

Sati [7]

Answer:

y=3

Step-by-step explanation:

The y values are the same, so there cannot be a slope. The (mx) part of y=mx+b is cancelled out, and is left with the b. Since the y value is forever three, the y-intercept will be 3 as well.

Therefore, the slope-intercept equation is

y=3

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trapecia [35]

Answer:

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