A baby elephant can weigh 170 pounds at birth. Approximately how many kilograms is this?
2 answers:
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Answer:
Probability that the person doesn't use any facility = 0.0889
Step-by-step explanation:
Total number of people in a sports center = 135
Number of people using gym 'G' = 73
Number of people using swimming pool 'P' = 59
Number of people using track 'T' = 31
Number of people using gym and pool (G∩P) = 19
Number of people using pool and track (P∩T) = 9
Number of people using gym and track (G∩T) = 16
Number of people using all three facilities (G∩P∩T) = 4
Therefore, from the rule of compound probability,
P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)
We know probability of an event =
We will plug in the values of probabilities of each event in the formula.
P(GUPUT) =
=
=
And probability that a person doesn't use any facility = 1 - P(GUPUT)
= 1 -
=
=
= ≈ 0.0889
Answer:
-4
+3
12
-0.5, 12.25
x = -0.5
Step-by-step explanation:
The x intercepts are the values of x when y = 0 ie the roots of the equation
or
We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3
y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12
Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x
Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5
Plugging this value of x into the original function gives the vertex y value
The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5
The graph of the quadratic function shows these values
