Answer:
The probability of selecting a solid black marbles both times;
P = 9/100
Attached is the completed question;
Step-by-step explanation:
Number of solid black marbles = 3
Total number of marbles = 10
The probability of selecting a solid black marble;
P1 = 3/10
With the assumption that the marbles are replaced before next selection.
The probability of selecting a solid black marbles both times;
P = P1 × P1 = 3/10 × 3/10 = 9/100
P = 9/100
Population are always modeled by exponential growth equation given by:
f(x)=a(1+b)^t
where:
a=original number
b=rate of growth
t=time
thus
f(x)=412(1.05)^t
the population after 9 months will be:
f(9)=412(1.05)^9=639.15=639
Answer:
20 hours
Step-by-step explanation:
use this linear equation
y = 9.25x + 50
plug in 235 for y and solve for x
235 = 9.25x + 50
185 = 9.25x
20 = x
so he worked for 20 hours
hope this helped <3
Given:
Consider the below figure attached with this equation.
Quadrilateral QRST is a parallelogram.
To find:
The value of x.
Solution:
We know that the sum of two consecutive interior angles of a parallelogram is 180 degrees because they are supplementary angles.
In parallelogram QRST,
On comparing both sides, we get
Divide both sides by 12.
Therefore, the value of x is 16.
Check the picture below.
that's the line of x = 12, just a straight vertical line, notice the green line, that's parallel to it, and the red line, that's perpendicular to it.
let's pick two points for each to get their slopes, hmm say for the green one (5,2) and (5,4)

and for the red one hmmm (3,2) and (7,2)