Answer:
Step-by-step explanation:
Given the dataset 147, 154, 156, 161, 162,
Mean is the sum of the dataset divided by the total number of dataset.
a) Mean = 
b) The formula for calculating the deviation from the mean for each value is expressed as 
where;
Xi is value of each item
xbar is the mean = 156
Mean deviation of 147 = 147-156 = -9
Mean deviation of 154 = 154-156 = -2
Mean deviation of 156 = 156-156 = 0
Mean deviation of 161 = 161-156 = 5
Mean deviation of 162 = 162-156 = 6
c) Sum of the deviations 
= (-9-2+0+5+6)
= -11+11
= 0
<em>Hence the sum of deviation from the mean is 0</em>
X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
Answer: It would be the fourth option, $4.84
Step-by-step explanation: To find the new price, multiply 115% to 2.25. 115% is the same as 1.15 and multiply that to $2.25. You would get 2.5875. Now that's the percent in increase so add this to the original price of the gallon of milk which was 2.25. You should get 4.8375, which would round to $4.84.
Answer:
1/2 of the cup.
Step-by-step explanation:
3/4 is half of 1 1/2.
