Answer:
C. a 90 degree clockwise rotation about the origin, and then a dilation by a scale factor of 0.5
Step-by-step explanation:
Answer:
Tip: $8
Total:$48
Step-by-step explanation:
Multiply 40 by 20% to find out how much money he gave for tip.
Add the amount of tip, 8, to $40 find out the total amount of money he spent.
Y=-2x+ 4 but I'm not so sure bout the answe
2 x + 20 = 15 + 3 x 2x + 20 = 3x + 15 2x + 20 - 3x = 15 - 3x x + 20 = 15 - x = 15 - 20 - x = -5 - x = -5/-1 x = 5
Answer:
Degree of freedom = 2
Expected frequency = 80%
Critical value, = 5.991
χ² statistic = 3.5
Step-by-step explanation:
Given the data :
Hong Kong New York Paris
Yes 86% 76% 78%
No 14% 24% 22%
The degree of freedom for the Chisquare statistic is given as :
(no of rows - 1) * (number of columns - 1)
Number of rows = 2
Number of columns = 3
. Degree of freedom = (2-1) * (3-1) = 1*2 = 2
Expected frequency = (Row total * column total) / grand total
The expected frequency of Hong Kong / Yes cell :
Row total = (86+76+78) = 240
Column total = (86+14) = 100
Grand total, N = (14+24+22)+240 = 300
Expected frequency = (240*100)/300 = 80%
The critical value :
At α - level = 0.05 ; df = 2
Critical value = 5.991
χ² = Σ(observed - Expected)² / Expected
The expected values :
80 80 80
20 20 20
Hence,
χ² = Σ(86-80)²/80 + (76-80)²/80 + (78-80)²/80 + (14-20)²/20 + (24-20)²/20 + (22-20)²/20
χ² statistic = 3.5