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2 years ago

13

Marco has $38.43 dollars in his checking account. His checking account is linked to his amazon music account so he can buy music

. The songs he purchases cost $1.29. Part 1- write an algebraic expression to describe the amount of money in his checking account in relationship to the number of songs he purchased. Part 2- Describe what the variable represents in the situation

1 answer:

kirza4 [7]2 years ago

4 0

38.43 - 1.29x

variable x represents the number of songs purchased

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Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is $-\frac{1}{3}$ , then the slope of the line perpendicular is $3$ .

Knowing this, we can start to construct the equation for the line:

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To solve for $b$ , we plug in the coordinates of the point that we know the line runs through, $(2, 1)$ :

$y = 3x + b$

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3 years ago

Which statement is true

vova2212 [387]

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3 years ago

A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili

Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

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$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

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So

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

So

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

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$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

So

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Finally

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8 0

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Answer:

Step-by-step explanation:

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