Answer:
12.33
Step-by-step explanation:
Triangle ABC and triangle XYZ are similar.
Side BC = Side YZ
48 : 8
Side CA = Side ZX
42 : 7
Divide them both
48 ÷ 8 = 6
42 ÷ 7 = 6
Side AB = Side XY
74 : ?
Divide 74 by 6
74 ÷ 6 = 12.33
Side AB is 12.33
X² - 7x - 8 = 0
You can use the Viet theorem
x₁ + x₂ = -p
-1 + x₂ = 7
x₂ = 7+1
x₂ = 8
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2a) if 1 ft³ weighs 150 lb==>the TOTAL VOLUME =5,000/150 =33.334 ft³
2b) 1 ft³ 1,728 in³. So the TOTAL volume in in³ =33.334 x 1728 = 57,600 in³
c) Volume =(1/3)(πR²).H but R = H then V= (1/3)(πR³).plug V (=57600)
57,600 = 1/3 (πR³) ==> R³ = (3 x 57600) / π ==> R = 38 in
d) Area x thickness = Volume ==> Area x 2 in = 57600 in then:
Are =57600/2 & Area =28,800 in²
Answer:
(a) $2000
(b) $94.9
Step-by-step explanation:
The expected $ value of signing 100 deals with probability of 0.1 each is
E(X) = 100*0.1 + 100*0.1 + 100*0.1 + ... + 100*0.1 = 100(100*0.1) = $1000
Along with the fixed amount of $1000, the total next month salary is $2000
As for the standard deviation we can apply the following formula
445.72 bc 770/19 equals 40.52 and 40.52 equals 445.72