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Oxana [17]
2 years ago
5

If a car company makes a car with the option of 4 exterior colors, 3 interior colors, and 2 engines, how can the multiplication

principle help us to determine the total number of different variations of the car?
Mathematics
2 answers:
ivolga24 [154]2 years ago
7 0

Answer:

24 !

Step-by-step explanation:

I can be wrong... but if I remember correctly, by multiplying all three numbers together and getting 24 possible variations, you're taking a shortcut of just matching, for example... one color with three diff interiors and 2 diff engines, one at a time... Whether you do it long-hand like that or just multiply the numbers altogether, you still get the same number of variations.  It's just a quicker method to solve this

4*3*2=24

hope i helped :) !

Nataly [62]2 years ago
3 0

Answer:

24 different variations

Step-by-step explanation:

To find the total number of different variations, take

4 exterior colors* 3 interior colors * 2 engines

4*3*2 = 24

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Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

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Lower bound:

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Upper bound:

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In this problem, we have that:

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Upper bound:

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The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

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2 years ago
What is the 8th term of the binomial expansion (x + y)10?
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We can use the Pascal's Triangle to solve this problem. This pascal's triangle is shown in the figure below. To build the triangle, begin with the number 1 at the top, then continue placing numbers below it in a triangular pattern. In this way, each number are the numbers directly above added together. So, the expression:

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(x+y)^{10}=x^{10}+10x^{9}y+45x^{8}y^2+120x^{7}y^3+210x^{6}y^4+252x^{5}y^5+210x^{4}y^6+120x^{3}y^7+45x^{2}y^8+10xy^9+y^{10}

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