The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is
<span>B. 288.</span>
<span>16 years ago = - 16
Present population -16 = </span><span>15,000 (population)
</span>
11% increase = every year =0.11
present year = <span>15,000 x 0.11^16
= 15,000 x 4.594
approx = 68,925</span>
Answer:
The answer to your question is: Yes, it is a solution
Step-by-step explanation:
Point (-2, 3)
Line: y = 2x + 7
Process, replace the point in the line
3 = 2(-2) + 7
3 = -4 + 7
3 = 3
As we got that 3 equals 3, then the point given is a solution of the equation.
Answer:
The roots are
, which is given by option C.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question, we have that:

Which is a quadratic equation with
. So



So the roots are
, which is given by option C.
We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%