Answer:
Step-by-step explanation:
1. Value of x
The diagonals of a rectangle are equal, so
PR = QS
2. Length of each diagonal
PR = 11x - 20 = 11×18 - 20 = 198 - 20 = 178
QS = x + 160 = 18 + 160 = 178
The length of each diagonal is 178.
If he'll have 5 tests and the average is 90, this means that the scores of each test added must be equal to 90 * 5 or 450.
450 = 90 + 82 + 95 + 86 + x
450 = 353 + x
97 = x which means that he must get a 97% on the fifth test to have an average of 90%
Answer:
The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.
Simplify both sides of the inequality, then isolate the variable. That should leave you with x> - 4
This problem involves only one variable, so we stick to one horizontal line, which represents p values. There is no vertical axis.
If 4p+1>-7, we solve for p by subtracting 1 from both sides: 4p>-8; then we divide both sides by 4, obtaining p>-2 Draw an open circle at p=-2 and from this open circle draw an arrow to the right.
If 6p+3<33, 6p<30. Dividing both sides by 6, p<5. Draw an open circle at p=5 and from this open circle draw an arrow to the right.
Now determine the p values for which your two arrows coincide. The first arrow begins at p=-2 and extends to the right from there; the second arrow begins at p=5 and extends to the left. So, the only coincidence of the two arrows is between -2 and +5 (noting that the arrows do NOT touch p=-2 or p=5).
The solution set can be writtten as -2<p<5, or as (-2,5).
