Answer:
a=2
b=6
Step-by-step explanation:
Assuming a uniform distribution and that a ≤ x ≤ b, if f(x) = 1/4, then:
If P(X > 4) = 1/2, then:
The values for a and b are, respectively, 2 and 6.
Louise wants to factorize completely the given polynomial
Grouping first, second terms together and third, fourth terms together
=
Taking common from first and second terms of the given expression and taking 5 common from the third and fourth terms.
=
Taking (x+3) common from the given expression,
= is the completely factored form.
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula , here a=4, b= -6 and c= -225.
⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.