Answer:
b > 250/9 and w ≥ 0
Step-by-step explanation:
7/9 (b - 27) > 49/81
First, simplify both sides of the inequality:
7/9b - 21 > 49/81
Add 21 to both sides
7/9b - 21 +21 > 49/81 +21
Multiply both sides by 9/7
9/7 x 7/9b > 49/81 x 9/7
b > 1750/81
Simplify
b > 250/9
11w - 8w ≥ 14w
Simplify both sides once again
3w ≥ 14w
Subtract 14w from both sides
3w - 14w ≥ 14w - 14w
-11w ≥ 0
Divide both sides by -11w
w ≥ 0
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Assum a normal distribution :
Mean (m) = 140 mm
Standard deviation (sd) = 20 mm
The percentage of people with blood pressure between 115 and 165 mm.
Zscore = (x - m) / sd
X = 115 mm
(115 - 140) / 20
-25/20 = - 0.625 = - 0.63
P(z<-0.63) = 0.2643
X = 165 mm
(165 - 140) / 20
25/20 = 0.625 = 0.63
P(z< 0.63) = 0.7357
0.7357 - 0.2643 = 0.4714 = 47.14%
B.) The percentage of people with blood pressure between 140 and 165 mm.
Zscore = (x - m) / sd
X = 140 mm
(140 - 140) / 20
0/20 = 0 = 0
P(z<0) = 0.5000
X = 165 mm
(165 - 140) / 20
25/20 = 0.625 = 0.63
P(z< 0.63) = 0.7357
0.7357 - 0.5000 = 0.2357 = 23.57%
C.) ___ The percentage of people with blood pressure over 165 mm.
X = 165mm
(165 - 140) / 20
25/20 = 0.625 = 0.63
1 - P(z< 0.63) = 0.7357
1 - 0.7357 = 0.2643 * 100% = 26.43%
Answer:
I think it is A because a 40 number lock has 64,000 combinations and we are dealing with 30 numbers so 24,360 is the next one down. Im sorry if this is wrong
Step-by-step explanation:
Answer:
x=33
Step-by-step explanation:
x/(-11)=-3
First multiply: x/(-11)*(-11)=-3*(-11)
Any two negative numbers that are multiplied equal a positive so: x=33
Answer:
$11,500
Step-by-step explanation:
This is a problem of optimization, therefore we have to identify the constraints and the objective function. First, we are gonna name the variables of the problem as follows:
: quarts of orange juice produced
: quarts of orange concentrate produced
The first and second constraints are related with the demand, both quantities of orange juice and concentrate must be greater or equal than the given values for demand:
The third constraint is related with the oranges required, as the company anticipates using at least 260000 oranges for these products, the sum of the oranges used to produce both products must be greater or equal than this value:
And finally the objective function is the equation to determine the costs:
We look for minimizing this last function, therefore we use the Solver tool in an Excel spreadsheet (file attached), and we add the constraints explained above. Finally we get:
$11,500
