Answer:
The probability of getting a pair of red socks is 0.322
Step-by-step explanation:
According to the given data we have that A drawer contains 11 identical red socks and 8 identical black socks, hence, the total number of socks is 19, therefore, in order to calculate the probability of getting a pair of red socks we would have to use the following formula:
probability of getting a pair of red socks=11C2/19C2
probability of getting a pair of red socks=55/171
probability of getting a pair of red socks=0.322
The probability of getting a pair of red socks is 0.322
54/1,000
just do Length x Width x Height
Answer:

Step-by-step explanation:
r = Radius of semicircle = 
Area of semicircle is given by

The area of the semicircle is
.
Answer:
The approximate probability is 0.7325.
Is not unlikely that a driver in that age bracket is involved in a car crash during a year, so there are reasons to be concerned.
Step-by-step explanation:
The approximate probability can be estimated using the sample proportion:

A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a year.
As this value is high, there is reasons to be concerned about it.
Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function
, and then transform it into the function: 
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)