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A company's employees are working to create a new energy bar. They would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydrates and protein in the bar to supply the athlete. They want a total of 22 carbohydrates and 14 grams of protein to make the bar sufficient. Using the following table, create a system of two equations and two unknowns to find how many tablespoons of each ingredient the bar will need. Solve the system of equations using matrices. Show all work to receive full credit.
Carbohydrates Protein
Peanut Butter 2 4
Oats 8 1
A. Write an equation for the total amount of carbohydrates.
B. Write an equation for the total amount of protein.
C. Determine the augmented matrix that represents the previous two equations.
D. Solve for the previous matrix. Show all work to receive full credit.
E. How many tablespoons of each will there need to be for the new energy bar?
A statistician wants to estimate the mean weekly family expenditure on clothes. He believes that the standard deviation of the weekly expenditure is $125.
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Using the 0.99 confidence coefficient, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent.
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Determine the standard score for the value x=452 realative to its sample, where the sample mean is 500 and the standard deviation is 32.
A health services provider has been reimbursed by a national health insurance organization for a large number of services. It appears that overpayments may have occurred on many of the reimbursements
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In performing the symmetric approximation, you calculate a mean of the total system cost as $1,725K. The variance is 22500. The POE is $1,600K.
However, 2% of the Dallas clocks are defective. If you go shopping and buy a clock from this company, what is the probability that you buy a defective clock?
Ten people agree to take part in an experiment designed to determine whether a persons weight differs between morning & evening.
Demonstrate correct use of descriptive statistics. Demonstrate proficiency in hypothesis testing. Evaluate the results of a statistical analysis.
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