here is the data set for the complete question
x: 18 21 19 21 20 21
y; 2 14 5 6 18 18
Answer:
B. 0.652
Step-by-step explanation:
x y rank of x rank of y d d²
18 2 1 1 0 0
21 14 4 4 0 0
19 5 2 2 0 0
21 6 4 3 1 1
20 18 3 5.5 -2.5 6.25
21 18 4 5.5 -1.5 2.25
∑d² = 8.5
rs = 1 - 6[∑di² + ∑m(m²-1)]/n(n²-1)
= 1 - 6[8.5 +{3(3²-10/12 + 2(2² - 1)/12}]/6(6²-1)
= 1 - 0.348
= 0.652
therefore option b is the right answer.
Answer:
1. 
2. 
Step-by-step explanation:
Given
Variation: inverse Proportion
y = 7, x = 9
Required
- Write an equation connecting y and x
- Find y when x = 21
Given that thee variation is inversely proportional;
This implies that
Convert variation to equation
----------- Equation 1
Where k is the constant of variation
Substitute 7 for y and 9 for x in equation 1
Multiply both sides by 9
Substitute 63 for k in equation 1
Multiply both sides by x
Hence, the equation connecting x and y is
Solving for when x = 21
Substitute 21 for x in the above equation
Divide both sides by 21
Answer:
- not possible: 1, 2, 4, 5, 8, 11
- possible: all others
Step-by-step explanation:
Obviously, all multiples of 3 and 7 can be paid.
1 cent can be added by adding a 7-cent stamp and taking away two 3-cent stamps. 2 cents can be added by adding three 3-cent stamps and taking away one 7-cent stamp. Hence any value more than 7 +2(3) = 13 cents can always be accommodated.
Amounts that are impossible:
1, 2, 4, 5, 8, 11 cents
All other positive integer amounts are possible.
Answer:
if jack uses 10 cups of sugar he will need to use 6 tsp of vanilla extract
Step-by-step explanation:
10 devided by 2 1/2= 4
and 1/2 multiplied by 4 is 6
