Yes 1/4 is a rational number
Answer:
C. 11 is the correct answer
Step-by-step explanation:
The table representing the probabilities of player's batting average is,
Left-Handed pitchers Right-Handed pitchers
Bats Left 0.285 0.175
Bats Right 0.215 0.250
So, when the players bats left 100 times,
The probability of hits he gets when faced by left-handed pitchers = 0.285 × 100 = 28.5
The probability of hits he gets when faced by right-handed pitchers = 0.175 × 100 = 17.5
Thus, the difference in the hits = 28.5 - 17.5 = 11
Hence, the player will get 11 more hits t when he faces left-handed pitchers as opposed to right-handed pitchers.
If one is to choose among given choices and the order is not important, we use the concept of combination. First, we calculate for the sample space or number available since there is a total number of 12 electives and a student may choose 2 out of them.
S = 12C2
That is "the sample space is equal to combination of 12 taken 2". The answer to this is equal to 66.
Next, we determine the number of outcomes. The equation will be,
O = (5C1) x (3C1)
That is "outcome is equal to combination of 5 taken 1 times combination of 3 taken 1". This is equal to 15. The probability is equal to,
P = O/S
Substituting,
P = (15/66) = 0.227270
The answer to this item is the third choice.
B + N = 18 and 6B + 5N = 101. This is the system of equations you would use.
Answer: IX - 4I ≤ 4
Step-by-step explanation:
In the numer line we can see that our possible values of x are in the range:
0 ≤ x ≤ 8
And we want to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
IX - 4I ≤ 4
To construct this, we first find the midpoint M of our set, in this case is 4.
Then we write:
Ix - MI ≤ IMI
Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
