Answer:
x>-6, x<-4
Step-by-step explanation:
|x+5|>-1
x+5>−1 (Possibility 1)
x+5−5>−1−5 (Subtract 5 from both sides)
x>−6
x+5<−(−1)(Possibility 2)
x+5<1(Simplify both sides of the inequality)
x+5−5<1−5(Subtract 5 from both sides)
x<−4
x>-6 or x<-4
Answer:
0.3431
Step-by-step explanation:
Here, it can work well to consider the seeds from the group of 18 that are NOT selected to be part of the group of 15 that are planted.
There are 18C3 = 816 ways to choose 3 seeds from 18 NOT to plant.
We are interested in the number of ways exactly one of the 10 parsley seeds can be chosen NOT to plant. For each of the 10C1 = 10 ways we can ignore exactly 1 parsley seed, there are also 8C2 = 28 ways to ignore two non-parsley seeds from the 8 that are non-parsley seeds.
That is, there are 10×28 = 280 ways to choose to ignore 1 parsley seed and 2 non-parsley seeds.
So, the probability of interest is 280/816 ≈ 0.3431.
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The notation nCk is used to represent the expression n!/(k!(n-k)!), the number of ways k objects can be chosen from a group of n. It can be pronounced "n choose k".
Answer:
The sample proportion is 0.19815
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound. The sample proportion is the halfway point between these two bounds, that is, the sum of the bounds divided by 2.
In this problem, we have that:
Lower bound: 0.1759
Upper bound: 0.2204
Sample proportion:
(0.1759 + 0.2204)/2 = 0.19815
The sample proportion is 0.19815
Answer:
f(g(x)) = -1
Step-by-step explanation:
