The size of the sample they should take to estimate p with a 2% margin of error and 90% confidence is n = 1691.
In statistics, the margin of error is just the degree of a significant error in the outcomes of random sample surveys.
The formula of margin error is, E = z√((p-vector)(1 - (p-vector)) ÷ n)
E = 2% = 0.02
Confidence level = 90%
Now, the proportion is not given so adopt nominal (p-vector) = 0.05
The critical value at CL of 90% is 1.645.
Thus, making n the subject,
n = z²(((p-vector) × (1 - (p-vector))) ÷ E²)
n = 1.645²((0.5 × 0.5) ÷ 0.02²)
n = 1691.266
n ≈ 1691
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The common difference is 12
Further explanation:
It is given that the infinite sequence is an arithmetic sequence
The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,

The common difference is denoted by d.
Here,

The common difference is same for all proceeding terms.
So,
d = 12
Keywords: Infinite arithmetic sequence, Common difference
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Answer:
Step-by-step explanation:
The function must be factorable.
For example, x^2 + x - 6= 0 factors to (x + 3)(x - 2) = 0 so the roots are -3 and 2.
x^2 + x - 7 = 0 will not factor so you need another method to solve this.
Answer:
21.2
Step-by-step explanation:
Answer:
h = 1.403733341286
Step-by-step explanation:
17.
the triangle of sides ‘l’ and ‘l-h’ is a right angled triangle.
Then

Then

Then

18.
For l = 6 and θ = 40 :

= 6-6cos(40)
= 1.403733341286