Answer:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have 
and for the denominator we have 
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Step-by-step explanation:
Information given
represent the sampe size 1
represent the sample 2
represent the sample deviation for 1
represent the sample variance for 2
represent the significance level provided
The statistic is given by:
Hypothesis to test
We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:
H0: 
H1: 
The statistic is given by:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have and for the denominator we have and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Answer:
V=12
Step-by-step explanation:
Faces: 20 Edges: 30
Write the Euler's formula for 3-dimensional figures
F+V=E+2
Substitute some variables for their known values
20+V=30+2
Add the numbers on the right side of the equation
20+v=32
Subtract 20 on both sides
20-20+V=32-20
Subtract
V=32-20
Number of Vertices
V=12
I think it’s gonna be (3,5)
The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.
The probability of getting exactly three robberies in a day is 0.1607.
<h3>What is meant by poison distribution?</h3>
The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.
The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.
In the poison distribution a discrete random variable X has the following probability mass function,
, where 
is the mean of the distribution and 
Given that 
The required probability, 
Therefore, the probability of getting exactly three robberies in a day is = 0.1607.
To learn more about poison distribution refer to:
brainly.com/question/9123296
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The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>
Sequences are series of elements generated according to at least one condition, usually equations. <em>geometric</em> sequences are generated according to a <em>exponential</em> formulas, whose form and characteristics are described below:
f(n) = a · bⁿ ⁻ ¹ (1)
Where:
- a - First element of geometric sequence
- b - Common ratio of the geometric sequence
- n - Element index within the geometric sequence
If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:
f(12) = 4 · 2¹² ⁻ ¹
f(12) = 4 · 2¹¹
f(12) = 4 · 2,048
f(12) = 4,096
The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
To learn more on geometric sequences: brainly.com/question/4617980
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