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2 years ago

14

What do you prove in the base case of an inductive proof of a statement P(n) for all positive integers n?

1 answer:

umka21 [38]2 years ago

4 0

Negative Integers the positive cancels the negative so it’s a proof of statement

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5.63 round to nearest tenth

White raven [17]

5.6 is 5.63 rounded to the nearest tenth

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3 years ago

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in 2010 the population of rhode island was approximately 1053000. if the population decrease was 0.3% find the population of rho

maks197457 [2]

1049841 1053000x.003=3159 1053000-3159=1049841

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2 years ago

In the Central City Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the

snow_lady [41]

To get the answer we can use proportion.
30----------100%
12-----------x
Cross multiply now
30x=12*100%
30x=1200% /:30 (divide both sides by 30)
x=40% - it's the percentage of cars which finished the race.
100%-40%=60% - it's the answer

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2 years ago

A survey is being conducted in a county where 62% of the voters are Democrats and 38% are Republican. (a) What is the probabilit

Inessa05 [86]

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. 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.

62% of the voters are Democrats

This means that $p = 0.62$

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

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

$P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844$

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

3 0

2 years ago

Emily kicked the ball in 1 straight direction , it went 10 ft reversed direction and come back to her , how is this possible ?

nydimaria [60]

Answer:

She kicked it up

Step-by-step explanation:

How is this math?

3 0

3 years ago

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