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VLD [36.1K]
3 years ago
10

The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if it ha

d a bill of $71.80? 479 645 454 312
Mathematics
2 answers:
Anton [14]3 years ago
5 0

Answer:

The answer is 312.

Step-by-step explanation:

Because you would start with 71.80 minus 25 to get 46.8 then do 46.8 divided by 0.15 to get 312.

tankabanditka [31]3 years ago
5 0

Answer:

312

Step-by-step explanation:

You might be interested in
What are the factor pairs that multiply to be 30 and has a sum of 13?
Usimov [2.4K]

Answer:

3 and 10

Step-by-step explanation:

3 plus 10 equals 13

3 times 10 equals 30

5 0
3 years ago
Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning
Bas_tet [7]

Answer:

try a

Step-by-step explanation:

4 0
3 years ago
You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.79 a p
san4es73 [151]

Answer:

B) Going to the close store is cheaper.

Step-by-step explanation:

Cost of going to the next town:

(8.3mi/22mi) × $3.79 = $1.43

Cost of going to the close store:

(2.3mi/22mi) × $3.79 = $0.40

3 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

4 0
3 years ago
Circle the following 2 terms that correspond with the domain of a function:
Nitella [24]

Answer:

x-values

independent variable

Step-by-step explanation:

x (the independent variable) is the domain

y (the dependent variable) is the range

8 0
3 years ago
Read 2 more answers
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