Answer:
x = 5.85641
Step-by-step explanation:
Step 1: Find missing leg of left triangle
sin30° = x/16
16sin30° = x
x = 8
Step 2: Find missing leg of right triangle
8² + b² = 16²
b² = 192
b = 8√3
Step 3: Find <em>x</em> by taking the difference
8√3 - 8 = 5.85641
Answer:
0.16
Step-by-step explanation:
Given that the length of time Y necessary to complete a key operation in the construction of houses has an exponential distribution with mean 18 hours.
The formula for cost of completing this operation is
C has mean 3124
Var(C) = 28,460,160
Std dev (C) = 
X = 4000 hours
Difference = 
Mean diff/std dev = 
i.e.nearly 0.16 standard deviations above the mean is 4,000 hours
Answer:
There are 9 dimes and 18 nickels.
Step-by-step explanation:
Let d = be the number of dimes
n = be the number of nickels
d + n = 27...eq.1
0.10d + 0.05n = 1.80...eq.2
Solve the system of equations
d + n = 27
10d + 5n = 180 ( multiply eq.2 by 100 )
-5d - 5n = -135
5d = 45
d = 9 , there are 9 dimes so,0.90
n = 27 - 9 = 18, there are 18 nickels so, 0.90
To check: 9 dimes + 18 nickels = 27 coins
0.90 + 0.90 = $ 1.80 total value of the coins
Answer: Choice A
The domain is the set {-5, -3, 1, 2, 6} which can be written as {x| x=-5, -3, 1, 2, 6} if you want to make it clear that x is involved with the domain.
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Explanation:
The domain is the set of x values, or the set of inputs, of a function or relation. All you have to do is list off the values in the "input" oval. Those values from top to bottom are: -3, 2, -5, 1, 6. Sort them out from smallest to largest and you get -5, -3, 1, 2, 6 which points us to choice A.
Another route you could go is eliminating choices B, C and D because -9 is not in the "input" oval.
The answer: 30 .
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Explanation:
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10 + (x/6 ) = 5 ; solve for "x" ;
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Subtract "10" from each side ;
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10 + (x/6 ) - 10 = 5 - 10 ;
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to get:
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x / 6 = -5 ;
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Now, multiply EACH side of the equation by "6" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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(x/6) *6 = -5 * (6) ;
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To get: x = 30 .
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