Answer:
x=2.32
Step-by-step explanation:
-1.32+x=1
add 1.32 to both sides
1.32 cancels itself out
so you are left with x=2.32
Answer:
100 in = 180 out
107 in = 187 out
117 in = 197 out
Step-by-step explanation:
we know that when there was 102 in, there was 185 out. we can also see that when there's 105 in, there was 185 out. the system outputs the input + 80
100 + 80 = 180
107 + 80 = 187
117 + 80 = 197
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
Answer:
0.3960
Step-by-step explanation:
X - no of questions answered correct is binomial since each question is independent of the other and there are two outcomes
p = Prob of any one question right = 0.2 (1/5)
n = 44
Normal approximation would be mean = np = 8.8 and Variance = npq = 7.04
Std dev = 
X is N(8.8,2.6534)
Or Z = 
Since we approximate discrete to continuous continuity correction is to be applied
means x≥9.5
P(X≥9.5) = 0.3960
