Given the conditional relative frequency table below which was generated by
column using frequency table data comparing the number of calories in a meal to
whether the meal was prepared at home or at a restaurant.
Number of Calories and Location of Meal Preparation.
Home Restaurant Total
≥ 500 calories 0.15 0.55 0.28
< 500 calories 0.85 0.45 0.72
Total 1.0 1.0 1.0
To determine whether there is an association between where food is prepared and the number of carories the food contain, we recall that an "association" exists between two categorical variables if the column conditional relative frequencies are different
for the columns of the table. The bigger the differences in
the conditional relative frequencies, the stronger the association
between the variables. If the conditional relative frequencies are
nearly equal for all categories, there may be no association between the
variables. Such variables are said to be <span>independent.
For the given conditional relative freduency, we can see that there is a significant difference between the columns of the table.
i.e. 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45
Therefore, we can conclude from the given answer options that t</span><span>here is an association because the value 0.15 is not similar to the value 0.55</span>
Answer:
Acording to the question,
Cost per cup = $1.29
Total number of cups = 12
Total cost of cups = 12 x 1.2 = $15.48
Cost of candies = $2.49 per cup
Total number of candies = x
Cost of nuts = $0.69 per cup
Total number of nuts = y
Equations :
x + y = 12 (because total cups of nuts and candies will be equal to 12)
2.49x + 0.69y = 15.48 (Total cost of the 12 cups should be 15.48)
<u>Step 1 : Find x in terms of y</u>
x = 12 - y
<u>Step 2 : substitute x in terms of y from step 1 in the second equation</u>
2.49x + 0.69y = 15.48
2.49 ( 12 - y) + 0.69y = 15.48
29.88 - 2.49y + 0.69y = 15.48
-1.8y = -14.4
y = 14.4/1.8
y = 8
Step 3 : Find x
x + y = 12
x = 12 - y
x = 12- 8
x = 4
Thus,Yumi should use 4 cups of candies and 8 cups of nuts.
( a ) The system of equations:
2 r + b = 8.403 r + b = 9.35( b ) Graph is in the attachment.
( c ) Each item costs:
b = $6.50, r = $0.95We can prove it: 2 * 0.95 + 6.50 = 8.40
3* 0.95 + 6.50 = 9.35
Answer:
43.20
Step-by-step explanation:
Had to take one for the team
The LCM would be 14.. your textbook would be really helpful
