Let s, m, L represent the number of small, medium, and Large cups of coffee Kyle filled.
s +m +L = 35 . . . . . . . . . . . . . . . served 35 cups
10s +14m +20L = 544 . . . . . . . . using 544 ounces of coffee
.95s +1.15m +1.50L = 43.60 . . . while collecting $43.60
Solving these 3 linear equations in 3 unknowns by your favorite method, you find
Kyle filled 6 small cups (10 oz)
Kyle filled 16 medium cups (14 oz)
Kyle filled 13 Large cups (20 oz)
_____
Elimination is a reasonable way to start. Subtract 10 times the first equation from the second, and 0.95 times the first equation from the third. Then you have
4m +10L = 194
.2m +.55L = 10.35
Now, you can subtract .05 times the first of these equation from the last to get
.05L = .65
L = 13
Back-substituting gets you the values of the other variables.
Answer:
ronnie is playing a card game called subzero , where the goal is to get the lowest possible score.in the first round ,ronnie scored
Step-by-step explanation:
Answer:
x + 14 = 2(x + 6)
x = 2
Step-by-step explanation:
Let
Algebra book age = x
Chemistry book age = x + 8
In 6 years time
Chemistry book age = x + 8 + 6
= x + 14
Algebra book age = x + 6
the chemistry book will be twice as old as the Algebra book.
x + 14 = 2(x+6)
x + 14 = 2x + 12
x - 2x = 12 - 14
- x = - 2
Divide both sides by -1
x = 2
Check:
Chemistry book age = x + 14
= 2 + 14
= 16
Algebra book age = x + 6
= 2 + 6
= 8
In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.
Given nothing and that we need to explain standard deviation. margin of error, correlation coefficient .
Standard deviation
In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.
Formula: 
where x bar is mean and N is size of population.
Margin of error
The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.
Formula for M=z*s/
here z is z value of Z score , s is variance , n is that the sample size.
Correlation coefficient
In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.
Formula=∑
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Learn more about correlation coefficient at brainly.com/question/4219149
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Answer:
6 weeks 27kilo
12 weeks 54 kilo
Step-by-step explanation:
4.5*12=54
4.5*6=27