Adrian built a structure out of 10 congruent cubes. If each cube has a volume of 8 cu. centimeters, what is the total
1 answer:
Answer:
Option (b).
Step-by-step explanation:
It is given that Adrian built a structure out of 10 congruent cubes.
Volume of each cube = 8 cubic centimetres.
We need to find the total volume of the structure.
Total volume = No. of cubes × Volume of each cube
Therefore, the total volume of the structure is 80 cubic centimetres.
Hence, option (b) is correct.
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The statement is true.
P(A|B) is the probability of occurrence of event A, provided that(given that) event B has already occurred.
This is known as conditional probability. In conditional probability, the event on right side of the vertical bar (which is B in this case) is given to have already occurred (either we assume this, or some evidence is given about this) and we calculate the probability of event on left of the vertical bar (which is A in this case) based on this information. The formula of condition probability is:
P(A*B) indicates the probability of intersection of event A and B.
So the correct answer is TRUE.
P(A|B) is the probability of occurrence of event A, provided that(given that) event B has already occurred.
This is known as conditional probability. In conditional probability, the event on right side of the vertical bar (which is B in this case) is given to have already occurred (either we assume this, or some evidence is given about this) and we calculate the probability of event on left of the vertical bar (which is A in this case) based on this information. The formula of condition probability is:
P(A*B) indicates the probability of intersection of event A and B.
So the correct answer is TRUE.
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Answer:
see attached
Step-by-step explanation:
Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change) and "rise" (vertical change) between the marked points.
In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.
The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.
If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)
