11x11=121
$140-121=19
19/7=
It would take approximately 2hours and 71 minutes to meet her requirements.
Answer: x = 11
Step-by-step explanation:
2x+5 = 3x-6
2x-3x = -6-5
-x = -11
x = 11
Double-check:
11*2= 22 11*3=33
22+5 = 27 33-6= 27
Answer:
She has 480 red roses in total
Step-by-step explanation:
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean, 
Standard deviation, 
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components


=0.03
From z- table we get

Therefore, we get







Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Answer:
signs of the constants in the binomial factors are negative
Step-by-step explanation:
Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.
2x^2 -7x +6 = (x -2)(2x -3)
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<em>Further comment</em>
c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.
b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.
In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.