Answer:
The probability that more than 22 of the women sampled have not been the victim of domestic abuse is P=0.537.
Step-by-step explanation:
This problem can be modeled by a binomial random variable.
The probability p can be calculated as the proportion of women that <em>has not</em> been a victim of domestic abuse at some point in her life:
The sample size is n=25.
We want to calculate the probability that more than 22 of the women of the sample have not been victim of domestic abuse.
The probability that exactly k women have not been victim of domestic abuse can be calculated as:
Then, the probability that more than 22 of the women sampled have not been the victim of domestic abuse is:
The (i,j) minor of a matrix A is the matrix Aij obtained by deleting row i and column j from A it is true.
The (i,j) minor of a matrix A is the matrix Aij obtained by deleting row i and column j from A. A determinant of an n×n matrix can be defined as a sum of multiples of determinants of (n−1)×(n−1) sub matrices.
This is done by deleting the row and column which the elements belong and then finding the determinant by considering the remaining elements. Then find the co factor of the elements. It is done by multiplying the minor of the element with -1i+j. If Mij is the minor, then co factor, 
+ 
.
Each element in a square matrix has its own minor. The minor is the value of the determinant of the matrix that results from crossing out the row and column of the element .
Learn more about the minor of the matrix here:
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Hi there!
Since you haven't given any numbers, I'll explain what you can do to figure this problem out. First, determine what side you have in relation to the angle (is it adjacent to the angle, it is opposite the angle, is it the hypotenuse?). Then, determine which trigonometry function to use (Sine = opposite/hypotenuse, Cosine = adjacent/hypotenuse, Tangent = opposite/adjacent). Check out the image below if you're confused. Anyway, you can use trigonometry to find the missing side of a triangle when only given angles and a side. All you have to do is plug in the numbers given and solve. (In the image, the O with a line through it represents the angle measurement that will be plugged in there.)
Hope this helps!! :)
If you're still confused or would like help solving a trigonometry problem, feel free to send me a message!
Answer:
Domain [-4,4]
Range [-2,2]
Step-by-step explanation:
The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.
In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].
Answer: 152 units square 2
Step-by-step explanation:
