Answer:
Step-by-step explanation:
GIVEN: A bag contain 
red marbles,
green marbles and 
blue marble. A marble is chosen at random from the bag and not replaced, then a second marble is chose.
TO FIND: What is the probability both marbles are green.
SOLUTION:
Total marbles in bag 
total number of green marbles 
Probability that first marble will be green 
Probability that second marble will be green 
As both events are disjoint
probability both marbles are green 
Hence the probability both marbles are green is
Hello,
Let's assume n the number searched.
nine less 3 times n is written 9-3n
Answer:
Z=2.36
P=0.0091
Step-by-step explanation:
The hypothesis is:
π > 0.55 which is the population proportion
The formula to get the test statistic is
Zstat = P-π/√π(1-π)/n
P =507.4/860 = 0.59 (sample proportion )
n =860 (sample size)
π =0.55(population porportion)
Zstat = 0.59-0.55/√0.55(1-0.55)/860
Zstat =2.36
From Z table the probability of Z score of 2.36 is 0.9909
To calculate for P- value will then be
P= 1 - 0.9909
P= 0.0091
Answer:
Option A, 
± 
Step-by-step explanation:
<u>Step 1: Add 29 to both sides</u>
<u>Step 2: Square root both sides</u>
±
Answer: Option A, ±
Answer:
centre (5, 6 ) , r = 
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given
x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )
x² - 10x + y² - 12y = - 24
using the method of completing the square
add ( half the coefficient of the x / y terms)² to both sides
x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36
(x - 5)² + (y - 6)² = 37 ← in standard form
with centre (h, k ) = (5, 6 ) and r =
