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Zinaida [17]
3 years ago
9

The cost for 50 bananas at the sams grocery store is $10 if Sara wants to purchase only one banana how much will it cost

Mathematics
1 answer:
inna [77]3 years ago
3 0
50bananas=$10
divide both sides by 50
1banana=$10/50
1banana=$1/5
1banana=$0.20

1 banana is 20 cents oor $0.20
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The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 40% of adult Australian s
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Answer:

X \sim Binom(n=12, p=0.4)

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

P(X)=(nCx)(p)^x (1-p)^{n-x}

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And we want to find this probability:

P(X=3)=(12C3)(0.4)^3 (1-0.4)^{12-3}=0.14189

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

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

X \sim Binom(n=12, p=0.4)

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

P(X)=(nCx)(p)^x (1-p)^{n-x}

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

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=3)=(12C3)(0.4)^3 (1-0.4)^{12-3}=0.14189

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A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a g
Natasha2012 [34]

Answer:

(A) y=-0.762+0.119x

(B) If a country increases its life expectancy, the happiness index will increase.

(C) If the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D) If the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

Step-by-step explanation:

A regression analysis was performed to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).

The output of the regression analysis are as follows:

a = -0.762

b = 0.119

r² = 0.8649

r = 0.93

(A)

The equation of the Least Squares Regression line of the form y = _ + _ x is:

y=-0.762+0.119x

(B)

The correction between the variables happiness index (y) and life expectancy in years of a given country (x) is, 0.93.

The correlation coefficient is positive. This implies that there is a positive relation between the two variables, i.e. as the value of life expectancy in years increases the happiness index also increases.

Thus, if a country increases its life expectancy, the happiness index will increase.

(C)

Compute the value of y for x = x + 3.5 as follows:

y=-0.762+0.119x

  =-0.762+0.119\times (x+3.5)\\\\=(-0.762+0.119x)+0.4165\\\\=y+0.4165

Thus, if the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D)

Compute the value of y for x = 67 as follows:

y=-0.762+0.119x

  =-0.762+0.119\times 67\\\\=-0.762+7.973\\\\=7.211\\\\\approx 7.21

Thus, if the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

6 0
4 years ago
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