The centroid divides the median into a 2:1 ratio. So, 9x-9=4x+16. We solve and get x=5. Therefore, OB is 36, and BE is half, 18.
Y=4x-3
M of new line = -1/4
y=(-1/4)x+b
3=(-1/4)(-3)+b
3=(3/4)+b
b=9/4
y=(-1/4)x+(9/4)
Answer:
x>7 or x ≤ -3
Step-by-step explanation:
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Answer:
The rate is 140 miles per hour
Step-by-step explanation:
We can use the formula distance is equal to rate times time
The distance is 700 miles and the time is 5 hours
D =rt
700 = r*5
Divide each side by 5
700/5 = 5r/5
140 =r
The rate is 140 miles per hour
Answer:
The entire population will have a mean difference of μD = 0.
Step-by-step explanation:
This case is a null hypothesis for a test of repeated measures of two tails. The general null hypothesis is a hypothesis of no difference. We must find the differences of each pair and then find the mean of these differences.
Under a null hypothesis it is established that the population mean of the differences is 0.
Therefore, the correct option is the entire population will have a mean difference of μD = 0 (first option).
Second option is incorrect: It considers the sample instead of the population.
Third option is incorrect: It says that the mean difference is different from zero.
Forth option is incorrect: It says that the mean difference is different from zero.
Hope this helps!
