9514 1404 393
Answer:
see attachments for a table and graph
Step-by-step explanation:
I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.
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Your specific question asks for h(0):
h(0) = -|0 +2| +1 = -2 +1
h(0) = -1
You may want to check your other table values.
Answer:
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) =
Step-by-step explanation:
The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women
That is probability of participants of television quiz of equal numbers of men and women that is 50 %of men and 50% of women.
p = 50/100 = 1/2
q = 1-p = 1 - 1/2 = 1/2
n =10
we will use binomial distribution
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) = P(x=0)+P(x=1)+P(x=2)
= +
by using formula
on simplification we get
= +
= +
=
<u>Conclusion</u>:-
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) =
Answer:
there are no extraneous solutions to the equation
Step-by-step explanation:
Given
= x + 2 ( square both sides )
8x + 9 = (x + 2)² ← expand
8x + 9 = x² + 4x + 4 ( subtract 8x + 9 from both sides )
0 = x² - 4x - 5 ← in standard form
0 = (x - 5)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 5 : =
= 7
right side = 5 + 2 = 7
left side = right side ⇒ x = 5 is a solution
x = - 1 : =
= 1
right side = - 1 + 2 = 1
left side = right side ⇒ x = - 1 is a solution
There are no extraneous solutions