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2 years ago

Bummer! Kai has to pay sales tax! The sales tax rate is 5.75%. How much is the backpack?

1 answer:

4 0

So let’s start with the original price, 40% off would leave you with 53.37 so 5.75% of 53.37 would be 30.68 add those together to get $84.05 or $84 and 5 cents but if the sales tax is counting without the 40% off then it would be $140.09

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Step-by-step explanation: just believe me

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2 years ago

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3 years ago

Gloria bought each of her three younger siblings a movie ticket.find the total cost of the movie tickets if each ticket cost $9.

jeka94

Answer:

The answer is 29.25

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2 years ago

An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec

harkovskaia [24]

Answer:

P(X = 0) = 0.0208, P(X = 1) = 0.2484, P(X = 2) = 0.7308

Step-by-step explanation:

Let's define the following events

A: the first component meet specification

B: the second component meet specification

P(A) = 0.87

P(B) = 0.84

Let X be the random variable that represents the number of components in the assembly that meet specifications. Because there are only two mechanical components in the assembly, X can only take the values 0, 1, 2.

P(X = 0) = P(the first component does not meet specification and the second component does not meet specification) =

$P(A^{c}\cap B^{c}) = P(A^{c})P(B^{c})$ (because of independence)

= (0.13)(0.16) = 0.0208

P(X = 1) = P(only one component meet specification) = P[(the first component meet specification and the second component does not meet specification) or (the first component does not meet specification and the second component meet specification)] =

$P[(A\cap B^{c})\cup (A^{c}\cap B)] = P(A\cap B^{c}) + P(A^{c}\cap B)=$ (because sets are mutually exclusive)

$P(A)P(B^{c}) + P(A^{c})P(B)=$ (because of independence)

= (0.87)(0.16) + (0.13)(0.84) = 0.2484

P(X = 2) = P(both components meet specifications) =

$P(A\cap B) = P(A)P(B)$ (because of independence)

= (0.87)(0.84)

= 0.7308

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3 years ago