Answer: Angles are supplementary if and only if their sum is 180° is true.
Step-by-step explanation:
Test by making both parts negative: Angles are not supplementary if and only if their sum is not 180° This is also true.
Answer:
0.3 inches
Step-by-step explanation:
2.5% = 0.025
The smallest frog is 12 * 0.025 inches, which is 0.3 inches.
Answer:
Option (b) 36.7
Step-by-step explanation:
Data provided in the question:
Treatment 1 Treatment 2 Treatment 3 Treatment 4
Sample Size 50 18 10 17
Sample Mean 32 36 42 48
Now,
The overall mean is calculated as
= 
Here, Xi = Sample mean
n = sample sizes
Thus,
Overall mean
= [ (50 × 32) + (18 × 36) + (10 × 42) + (17 × 48) ] ÷ [ 50 + 18 + 10 + 17 ]
= [ 1600 + 648 + 420 + 816 ] ÷ 95
= 36.67 ≈ 36.7
hence,
Option (b) 36.7
Answer:
you should play the game with the probability of winning is one tenth
Step-by-step explanation:
If the probability of winning an instant prize game is one tenth, <u>then the odds in the game can be described as 1:9</u> . The odds are clearly better than the game with odds 1:10.
In other words,
If the odds of winning a instant prize game are 1:10, <u>then the probability of winning the game is one eleventh</u>. This is a lower probability than the game which has the probability of winning one tenth.
Answer:
5
Step-by-step explanation:
Slope equation is (y2-y1)/(x2-x1)
(-1-4)/(2-3)
-5/-1
5
