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3 years ago

Amar bought a sled for $36.24. Sales tax is 8%. What is the total cost of his purchase? (step by step explanation)

Mathematics

1 answer:

Alborosie3 years ago

7 0

Answer:

$39.14 rounded

Step-by-step explanation: First you change the percent into a decimal which is 0.08.Then you multiply this to 36.24.Next you add 2.8992 to 36.24 and you should get 39.1392.Round it and you get 39.14.Rounded to nearest dollar is $39

Hope this helps!!!!!

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How much is a book that is regularly priced at $62.85 when it is 1/3 off?

Marina86 [1]

Answer:

$41.9

Step-by-step explanation:

divide $62.85 and get 20.95 which is 1/3 of it so then you just subtract $20.95 from $62.85 and get 41.9

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3 years ago

Read 2 more answers

Find each function value.

Levart [38]

Put the values of x to the equations of the functions:

1. f(9) → x = 9; f(x) = -3x + 10

f(9) = -3(9) + 10 = -27 + 10 = -17

2. f(-2) → x = -2; f(x) = 4x - 1

f(-2) = 4(-2) - 1 = -8 - 1 = -9

3. f(-5) → x = -5; f(x) = -2x + 8

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3 years ago

Which prime number do the prime factorization of 130 and 165 have in common?

Marizza181 [45]

Answer:

They both have the #5 and they both have 3 #'s that are prime?

Step-by-step explanation:

5 0

3 years ago

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

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:

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

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

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3 years ago

Find a counterexample for the statement. <br> If p is prime, then p2 + 4 is prime.

uysha [10]

P=2 then 2^2+4=8
P=11 then 11^2+4=125

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3 years ago