Can you please fill in the blank?
2 answers:
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Answer:
The polygon has 3 sides ( a triangle).
Explanation:
The sum of the angles of a polygon can be written as;
where n is the number of sides of the polygon.
Given that the sum of the angles in the polygon is 180 degree;
Therefore, the polygon has 3 sides ( a triangle).
Complete question is;
Suppose we are testing the null hypothesis H0: μ = 20 and the alternative Ha: μ ≠ 20, for a normal population with σ = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is x¯ = 17.6. The P-value is closest to:
a. 0.0668.
b. 0.0082.
c. 0.0164.
d. 0.1336
Answer:
Option D
Step-by-step explanation:
We are given;
Null hypothesis; H0: μ = 20
Alternative hypothesis; Ha: μ ≠ 20
Population Standard deviation; σ = 5
Sample size; n = 25
Sample mean; x¯ = 17.6
Let's find the z-score from the formula;
z = (x¯ - μ)/(σ/√n)
z = (17.6 - 20)/(5/√5)
z = - 1.073
From online p-value from z-score calculator attached, using z = -1.073; two tailed hypothesis; significance value of 0.05,we have;
The P-Value is 0.283271.
Looking at the given options, the closest to the p-value is option D
Answer:
67,600
Step-by-step explanation:
For the first and last two characters, there are ten possible digits (0 through 9) for each character.
For the second through sixth character, there are 26 possible letters (A through Z) for each character.
The number of all possible license plate combinations "n" is given by the multiplication of each digits range of possible outcomes:
Since there are no restrictions for repeated characters, there are 456,976,000 different license plate numbers are possible.