Answer:
27 is ta value of x because.. first of all add allthose threee sides
3(x+2)+ 35+ 52=180(the sum of triangle)
or, 3x+6+35+52=180
or,3x=180-93
or,x=87/3
Therefore, the value of x is 29
Step-by-step explanation:
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Answer: 1.013
Step-by-step explanation:
Given the following data :
X_______f___fx___fx²
1_______15__15___15
2______30__60__120
3______28__84__252
4______10__40___160
______ 83__199__547
Number that is 1.5 standard deviations below the mean :
Mean(m) :
Σfx /Σf
(15 + 30 + 28 + 10) / 83
= 199 / 83
= 2.3976
Standard deviation(s) :
Sqrt[(Σfx² - (Σfx)²/Σf) /Σf-1]
sqrt[(547 - (199)²/83) / 83 - 1]
sqrt[(547 - (39601/83) / 82]
sqrt[(547 - 477.12) / 82]
sqrt(0.8522)
Standard deviation = 0.9231
1.5 standard deviations below the mean:
Mean - 1.5(standard deviation)
2.3976 - 1.5(0.9231)
2.3976 -1.38465
= 1.01295
= 1.013
Answer:
C. 2z + 3 / z - 3
Step-by-step explanation:
Just took the test and got 100%
Let x be the amount of Columbian coffee in the mixture and y the amount of Sumatra coffee in the mixture, then
x + y = 1 . . . (1)
9.25x + 14.25y = 12.50 . . . (2)
(1) x 9.25 => 9.25x + 9.25y = 9.25 . . . (3)
(2) - (3) => 5y = 3.25 => y = 3.25/5 = 0.65
From (1), x + 0.65 = 1 => x = 1 - 0.65 = 0.35
1 pound of the mixture contains 0.35 Columbian coffee and 0.65 Sumatra coffee
Therefore, 12 pounds of the mixture will contain 0.35 x 12 = 4.2 pounds of Columbian coffee and 0.65 x 12 = 7.8 pounds of Sumatra coffee
