Answer:
-3 for x, y for -18,
f axis to y axis
C
Step-by-step explanation:
The volume of the original prism is calculated by multiplying the area of the base by the height,
volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³.
Answer: Line R and Line P are perpendicular because they intersect at a point and create a pair of equal angles.
Step-by-step explanation:
A random variable can be either discrete or continuous. It is discrete it can assume only a finite number of values, or a countable infinity of values at most.
It is continuous if it can assume values in an interval, or in general, an uncountable infinity of values.
That being said, we have:
Option A is a discrete random variable, because the number of heads in 5 throws can be 0, 1, 2, 3, 4 or 5. So, we have finitely many possible values.
Option B is a discrete random variable, because the number you roll on a die is either1, 2, 3, 4, 5 or 6. So, we have finitely many possible values.
Option C is a discrete random variable, because if there are n students in a class, the number of boys is an integer between 0 and n. So, we have finitely many possible values.
Option D is finally a continuous random variable, because the height of a 10-year-old can be any number (in a suitable range of course).
Ralph would need 9 sheets of pink paper if he had 3 sheets of red paper.
The reason of this is because for every 1 piece of red paper there are 3 pieces of pink paper. So if you have 3 pieces of red paper you would do 3x3 which equals 9, and that's your answer.