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The expression that is equivalent to the given expression is -4x^-5
<h3>How to determine which expression is equivalent to the given expression?</h3>The expression is given as:
Rewrite properly as
-4x^-5x^0
Express as products
-4x^-5 * x^0
The value of x^0 is 1
So, we have:
-4x^-5 * 1
Evaluate the product
-4x^-5
Hence, the expression that is equivalent to the given expression is -4x^-5
Read more about equivalent expressions at:
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It costs $ 3.4 to fill the hot tub
<h3><u>Solution:</u></h3>Given that, You are putting a rectangular hot tub on your back porch
The rectangular hot tub is of shape cuboid
<em><u>The volume of cuboid is given as:</u></em>
It is 6 feet long, 5 feet wide, and 3 feet deep
Therefore,
length = 6 feet
width = 5 feet
height = 3 feet
<em><u>Thus volume of rectangular hot tub is:</u></em>
Thus volume of rectangular tub is
Convert feet to gallons
We know that,
1 cubic feet = 7.48052 gallon
Therefore,
90 cubic feet = 7.48052 x 90 = 673.247
Thus gallons of water tub can hold is 673.247 gallons
Given that it costs $ 5 per 1000 gallons
1000 gallons = $ 5
Therefore,
1 gallons = $
<em><u>Find for 673.247 gallons</u></em>
673.247 gallons =
Thus it costs $ 3.4 to fill the hot tub
Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .
Step-by-step explanation:
The cumulative distribution function for exponential distribution is :-
, where
is the mean of the distribution.
As per given , we have
Average tread-life of a certain brand of tire :
Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :
Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .