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2 years ago

What does the variable r represent in the equation 10r+4=8

Mathematics

1 answer:

Kryger [21]2 years ago

3 0

Answer:

The value of variable r in the equation $10r+4=8$ is $\mathbf{r=0.4}$

Step-by-step explanation:

We need to find the value of variable r in the equation $10r+4=8$

Step 1: Write the equation

$10r+4=8$

Step 2: Subtract 4 on both sides

$10r+4-4=8-4\\10r=4$

Step 3: Divide both sides by 4

$\frac{10r}{10}=\frac{4}{10}\\r=0.4$

So, The value of variable r in the equation $10r+4=8$ is $\mathbf{r=0.4}$

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An apartment rents for $800 a month the monthly rent is expected to increase $15 each year what will the rent at the end of the

Nataly [62]

To find this you would do 800 + 15x where x is the amount of years.

For 9 years it would be 800 + 15(9) which is 800 + 135.

At the end of 9 years, the apartment's rent would be $935. I hope that's utilities included because... yikes...

5 0

3 years ago

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

3 years ago

-4(3x – 7) = 52 for x.

AURORKA [14]

Answer:

-2

Step-by-step explanation:

-4(3x – 7) = 52

3x-7= -13

3x= -6

x= -2

5 0

3 years ago

For what x-values does sin(x) = -1

zzz [600]

$\pi /2$ or neg. 90 degrees

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3 years ago

The sun is about 93Xthe sixth power of 10 (10*6) miles from earth. what is this distance written as a whole number?

SSSSS [86.1K]

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6 0

3 years ago