Answer: -1 1/2 to -1: -1 1/3 and -5/4
-1 to -1/2: -2/3, -3/4, -6/7, -5/6
-1/2 to 0: -1/3 and -3/8
0 to 1/2: 1/5, 1/10, 3/12, 3/8, 3/7, 1/3
1/2 to 1: 4/5, 6/10, 7/8, 7/9, 3/4, 8/10
1 to 1 1/2: 1 5/12, 9/8
Step-by-step explanation:
Answer:
4:5
Step-by-step explanation:
If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.
However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.
12:15
= 4:5
So, the ratio of boys to girls in Timara's class is 4:5
Answer:
AB = 10.83 cm
Step-by-step explanation:
From ΔABC,
m∠B = 90°
By applying sine rule in the given triangle,
sinθ = 
sin(37°) = 
AB = AC(sin37°)
AB = 18×(0.060182)
= 10.833
≈ 10.83 cm
Therefore, AB = 10.83 cm is the answer.
Answer:
0.2601
Step-by-step explanation:
There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.
There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.
So, the probability of interest is ...
252/969 ≈ 0.2601
_____
nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n