One person being nervous around strangers is assumed independent of other people behaviour. Then, the multiplication rule can be applied as
both nervous = 0.14*0.14 = 0.0196 = 1.96%
one is nervous, one is not nervous = 0.14*(1-0.14) = 0.1204 = 12.04%
At least one nervous = 1.96% + 12.04% = 14%
Answer:
3/2, -3/2, (if it is asking for imaginary solutions as well then 3i/2 and -3i/2)
Step-by-step explanation:
Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7
Step-by-step explanation:
Quadratic function:
In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.
Move terms to the left side
49
=-21x-2
49
-(-21x-2) =0
Distribute
49
-(-21x-2) =0
49
+21x+2=0
Use the quadratic formula
x=(-b±√
-4ac ) / 2a
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
49
+21x+2=0
let, a=49
b=21
c=2
Replace with values in this equation
X=(-b±√
-4ac ) / 2a
Simplify
Evaluate the exponent
Multiply the numbers
Subtract the numbers
Evaluate the square root
Multiply the numbers
x=(-21±7) /98
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate
x=(-21+7) /98
x=(-21-7) /98
Solve
Rearrange and isolate the variable to find each solution
x=-1/7
x=-2/7
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The intersection of two planes is a line. That's not necessarily the definition of a line, but that's probably what they're looking for.
Answer: line
52 I think , because 6 1/2 x 8 is 52