John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.

"is it appropriate to use the normal approximation for the sampling distribution of"

Katyanochek1 [597]

Answer: Normal approximation can be used for discrete sampling distributions, such as Binomial distribution and Poisson distribution if certain conditions are met.

Step-by-step explanation: We will give conditions under which the Binomial and Poisson distribitions, which are discrete, can be approximated by the Normal distribution. This procedure is called normal approximation.

1. Binomial distribution: Let the sampling distribution be the binomial distribution $B(n,p)$ , where $n$ is the number of trials and $p$ is the probability of success. It can be approximated by the Normal distribution with the mean of $np$ and the variance of $np(1-p)$ , denoted by $N(np,np(1-p))$ if the following condition is met:

$n>9\left(\frac{1-p}{p}\right)\text{ and } n>9\left(\frac{p}{1-p}\right)$

2. Poisson distribution: Let the sampling distribution be the Poisson distribution $P(\lambda)$ where $\lambda$ is its mean. It can be approximated by the Normal distribution with the mean $\lambda$ and the variance $\lambda$ , denoted by $N(\lambda,\lambda)$ when $\lambda$ is large enough, say $\lambda>1000$ (however, different sources may give different lower value for $\lambda$ but the greater it is, the better the approximation).

5 0

3 years ago

jekas [21]

Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°

To Find: The length of the park's boundary to the nearest yard.

Calculation:

The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc

or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)

or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or, (P) = 100 yards + 209.33 yards

or, (P) = 309.33 yards ≈309 yards

Hence, the option D:309 yards is the correct option.

7 0

3 years ago

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Can Someone Please Explain This To Me

Ghella [55]

Answer:

maybe but (-4,2) only because the -4 is in the x place (x,y)

Step-by-step explanation:

Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point.

3 0

2 years ago

6.11 Assume that an r of .80 describes the relationship between daily food intake, measured in ounces, and body weight, measured

Sloan [31]

Answer:

The coefficient of correlation does not change.

Step-by-step explanation:

We are given the following in the question:

The daily intake food is measured in ounces.

The body weight is measured in pounds.

Correlation between food intake and body weight = 0.80

Properties of correlation:

Correlation is a technique that help us to find or define a relationship between two variables.
It is a measure of linear relationship between two quantities.
The correlation between two variables is not effected by the units of the variable.
Even if the variable of the explanatory variable or the response variable changes, the correlation does not not change and remains same.

Conclusion:

A shift in units from ounces to grams and from pounds to kilogram does not change the value of coefficient of correlation.

8 0

3 years ago

Alexandra paid \$7$7dollar sign, 7 to park her car for 333 hours at the parking garage. The garage charges an hourly parking rat

NeX [460]

Assuming that the fee is purely based on duration, the equation would look like this:
c= a*p
where c= cost, a= rates per hour, p= hours of parking

Alexandra pays 7$ for 3 hours parking. So, a would be:
c= a*p
7$= a * 3 hr
a= 7$/3hr

Then the final equation would be:
c= (7/3) *p

8 0

3 years ago

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