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Andrej [43]
3 years ago
10

HELP!!!

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer: 59.98

Step-by-step explanation: :)

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The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)?
arlik [135]
This is a quotient (division) of two functions we must be concerned with the fact that division by zero is undefined.

Since g(x) is in the divisor position, it cannot equal 0.
x+6 \neq 0
x \neq -6 Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
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3 years ago
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3 years ago
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A widget company produces 25 widgets a day,5 of which are defective.Find the probability of selecting 5 widgets from the 25 prod
MariettaO [177]

Answer:

0.292

Step-by-step explanation:

Combinations can be used to solve the following problem.

We are choosing 5 widgets from 25 = ²⁵C₅

We want to select zero widgets from defective widgets = ⁵C₀

From the 20 non-defective widgets we want to select 5 = ²⁰C₅

So the probability is:

P = ( ⁵C₀ * ²⁰C₅) / ²⁰C₅

P = (1 * 15504) / 53130

= 15504/ 53130

=0.292 ..

7 0
3 years ago
This is past due, need help fast
Anika [276]

Answer:

Step-by-step explanation: 1 foot= 12 inches

so length 5.5 inches= 0.458 feet or 5.5/12

width 4 inches= 0.33 feet or 4/12

area 4x5.5= 1.833 feet or 22/12

8 0
3 years ago
Evaluate the expression.<br>(21÷7) +6 + 3³​
spin [16.1K]
Answer: 36.
Solve in order of PEMDAS - parentheses, exponents, multiplication, division, addition and subtraction. 21/7= 3. 3^3 is 3*3*3=27. 3+ 6 + 27= 36.
8 0
3 years ago
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