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Tju [1.3M]
3 years ago
5

A cab company charges a 3.50 boarding fee and 0.50 per mile.write it as a linear equation

Mathematics
2 answers:
aleksandrvk [35]3 years ago
4 0

Answer:

y = 0.5x + 3.5

Step-by-step explanation:

The y- intercept (boarding fee) is what the price is starting as. It basically is saying that once you sit in that cab, you are paying $3.50. Then, per mile, you have to pay 50 cents added onto that $3.50. So, your slope is the 50 cents.

I don't really know if that explantation made sense but I'm almost positive my answer is right.

nadezda [96]3 years ago
3 0

Answer:

y = 0.50x + 3.50

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Answer: 1

Step-by-step explanation: hope this helps

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Y = -1/3 x + 2
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Answer:

X = 0

Y = 2

so Option A (0,2) IS CORRECT

Step-by-step explanation:

Y = -1/3 x + 2 equation 1

Y = x+ 2 equation 2

from equation 2 we have

y = x+ 2 Put in equation 1

x + 2 = -1/3 x + 2

x +1/3x = 2 -2

0.67 x = 0

X = 0

so put x =0 in equation 2 then we have

y = x +2

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3 years ago
Simplify the following expression:<br> 4 + b ( 12 - 3 ) - 2b
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Answer:

4+7b

Step-by-step explanation:

4+ (b*12)+(b*-3)-2b

4+12b-3b-2b

4+12b-5b

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3 years ago
About 19​% of the population of a large country is hopelessly romantic. If two people are randomly​ selected, what is the probab
Aleksandr-060686 [28]

Answer:

3.61% probability that both are hopelessly romantic​.

34.39% probability at least one is hopelessly romantic

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are hopelessly romantic, or they are not. The probability of a person being hopelessly romantic is independent from other people. So we use the binomial probability distribution to solve this question.

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.

19​% of the population of a large country is hopelessly romantic.

This means that p = 0.19

Two people are randomly​ selected

This means that n = 2

What is the probability both are hopelessly romantic​?

This is P(X = 2). So

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

P(X = 2) = C_{2,2}.(0.19)^{2}.(0.81)^{0} = 0.0361

3.61% probability that both are hopelessly romantic​.

What is the probability at least one is hopelessly romantic​?

P(X \geq 1) = P(X = 1) + P(X = 2)

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

P(X = 1) = C_{2,1}.(0.19)^{1}.(0.81)^{1} = 0.3078

P(X = 2) = C_{2,2}.(0.19)^{2}.(0.81)^{0} = 0.0361

P(X \geq 1) = P(X = 1) + P(X = 2) = 0.3078 + 0.0361 = 0.3439

34.39% probability at least one is hopelessly romantic

7 0
3 years ago
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