The answer is 1/4
Explanation
===============================
The question focuses on "if the student is known to be a boy..." we would obviously know that we would focous on only the total of the boys.
We have the formula for the probability of an event of happening which we would call event A (a boy being left-handed). P(A)= number of favorable outcomes/ total number of possible outcomes. The left-handers would go in the favorable outcomes since we want the probability of a boy being left handed and we would place the total boys in the total number of possible outcomes since all of them are going to be the one to be randomly picked. 50 left-handed/ 200 total boys. We have our fraction that is 50/200 as the probability but we can simplify it! We simplify 50/200 to get 1/4!!! 1/4 is the probability of a boy being picked that is left-handed!
Hope this helps!
The answer is 20 days, we can solve this in following way:
Each friend creates 4 bags of dough and after ten days four bags divided into four more bags means:
3 friends x 4 bags = 12 bags and 12 bags x 4 = 48 bags
so in next 10 days, the 48 bags will be further divided into 4, so
48 x 4 = 192 bags
10 days + next 0 days = 20 days
so 20 days is the answer.
Answer:
x = -39
Step-by-step explanation:
The only thing we need to do here is isolate x by subtracting 27 from both sides :)
x = -39
Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0).
<u>1) Determine the slope (m)</u>
where two points on the line are
and 
In the graph, the points (-3,-6) and (2,-2) are plotted clearly, so we can use these to help us find the slope. Plug them into the equation:

Therefore, the slope of the line is
. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Typically, given a graph, we could look at where exactly the line crosses the y-axis to determine b. However, because it appears ambiguous on this graph, we must solve it algebraically.
Plug in one of the given points (2,-2) and solve for b:

Subtract
from both sides to isolate b

Therefore, the y-intercept of the line is
. Plug this back into
:

I hope this helps!