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klasskru [66]
4 years ago
12

Emily wants to buy a car. She pays a deposit equal to 20% of the cost of the car. She will pay the balance in 8 equal payments o

f $5460 each month. How much does the car cost
Mathematics
1 answer:
olga55 [171]4 years ago
4 0

Answer: the cost of the car is $54600

Step-by-step explanation:

Let x represent the cost of the car.

She pays a deposit equal to 20% of the cost of the car. This means that the amount of money that she paid as deposit would be

20/100 × x = 0.2 × x = 0.2x

The remaining balance would be

x - 0.2x = 0.8x

She will pay the balance in 8 equal payments of $5460 each month. This means that

0.8x/8 = 5460

0.1x = 5460

Dividing the left hand side and the right hand side of the equation by 0.1, it becomes

0.1x/0.1 = 5460/0.1

x = 54600

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Answer:

169

Step-by-step explanation:

You need to use a Z-table for this.

There are different tables, in this table i searched for the probability of 97% because that equivalent to the top 3%.

for 0.97, Z = 1.88

The formula of Z is:

Z = (x-mean)/(st. dev.)

Solving x:

1.88 = (x-150)/10 \\x = 168.8 = 169

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe
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Answer:

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For this case we can use the probability mass function and we got:

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Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

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Where (nCx) means combinatory and it's given by this formula:  

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Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=15, p=0.25)

For this case we can use the probability mass function and we got:

P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165

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Step-by-step explanation:

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