Answer:
Option C: 0.28
Step-by-step explanation:
This is a binomial probability distribution problem.
Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;
P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)
From the histogram;
P(5) = 0.02
P(4) = 0.02
P(3) = 0.05
P(2) = 0.19
Thus;
P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02
P(X ≥ 2) = 0.28
The greatest common factor is 2b
Answer:
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Step-by-step explanation:
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Answer: 547
Step-by-step explanation: The margin of error formulae is given below as
Margin of error = critical value ×(σ/√n)
Where σ = standard deviation and n is the sample size.
From our question, margin of error = 0.08
Variance is 1.691,
hence σ = √variance = √1.691
= 1.3.
We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.
The critical value for a 85% confidence interval is 1.44.
Hence critical value is 1.44.
By substituting the parameters, we have that
0.08 = 1.44 × 1.3/ √n
0.08 = 1.873/ √n
By cross multiplying
0.08 × √n = 1.873
√n = 1.873/ 0.08
√n = 23.41
n = (23.41)²
n = 547.
The given sequence is:
a(2)=1
a(3)=3
a(4)=9
We are to find the average rate of change between n=3 and n=4 for the given function.
Average rate of change =
So the average rate of change for the given function from n = 3 to n = 4 is 6
