Answer:
r ≥ -9
Step-by-step explanation:

Answer:
The correct answer is fabric Jimmy's sister needs =
× fabric Jimmy needs =
×
yards of fabric.
Step-by-step explanation:
Jimmy's costume requires ⅞ + ½ + 1
yards of fabric =
yards.
His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× (
) yards of what Jimmy needs =
yards of what Jimmy needs.
The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by
Fabric Jimmy's sister needs =
× fabric Jimmy needs =
×
yards of fabric.
If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.
Given 95% confidence level, standard deviation=0.05.
We know that margin of error is the range of values below and above the sample statistic in a confidence interval.
We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data near the mean are more frequent in occurence than data far from mean.
We know that margin of error for a confidence interval is given by:
Me=
α=1-0.95=0.05
α/2=0.025
z with α/2=1.96 (using normal distribution table)
Solving for n using formula of margin of error.

n=
=96.4
By rounding off we will get 97.
Hence the sample size required will be 97.
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The given question is incomplete and the full question is as under:
If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?
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.
Answer:
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