Answer:
Answer explained below
Step-by-step explanation:
Alex has in the past committed 55% of the burglaries committed by the three, Becky 31%, and Carl the rest, hence
probability, P(Carl doing a burglary) = 1 - P(Alex or Becky doing a burglary)
= 1 - (0.55 + 0.31)
= 0.14
a) P(next burglary in town is the burglary of a residence) = P(Alex did a burglary of a residence) + P(Becky did a burglary of a residence) + P(Carl did a burglary of residence
= 0.55*1/3 + 0.31*0.5 + 0.14*1
= 0.4783
b)From Bayes' Theorem: P(A | B) = P(A & B) / P(B)
Hence,
P(Becky | a resident reports a home burglary) = P(Becky did a burglary of a residence) / P(burglary of a residence)
= (0.31 * 0.5)/0.4783
= 0.3240
Y=-1/4+4
-1/4 is the slope and the 4 is the y-intercept (where the line touches the y-axis)
I hoped this help's!!!
Answer:
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.
Rotation, Reflection, and translation do not affect the size of the original figure.
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Answer:
D
Step-by-step explanation:
Please refer to the attachment below.
We have a 30-60-90 triangle.
Hence, the ratios of the sides will be related as shown in the triangle below.
Let’s determine the value of x. In a 30-60-90 triangle, the hypotenuse is 2x.
Here, our hypotenuse is 10.
Then it follows that:
The side opposite to ∠A (60) is CB.
And it is x√3.
Hence, CB is 5√3.
The side opposite to ∠B (30) is AC.
And it is x.
Hence, AC is 5.
Therefore, AC is 5 while BC is 5√3.
Hence, our answer is D.
