Answer:
Step-by-step explanation:
P(of an event)=No. of possibilities of the event/total no. of events
a)P(completes exactly one assignment)=1/3
b) P(completes more than one assignment)=2/3
c)P(at least one assignment)=3/3=1
Answer:
<h3> 26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid</h3>
Step-by-step explanation:
Concentration Amount of Amount
of Solution Solution (L) of Acid
15% x 0.15x
33% y 0.33y
21% 40 0.21•40
x + y = 40 ⇒ x = 40 - y
0.15x + 0.33y = 0.21•40
0.15(40 - y) + 0.33y = 0.21•40
6 - 0.15y + 0.33y = 8.4
0.18y = 2.4
y = 13¹/₃
x = 40 - 13¹/₃ = 26²/₃
Hi there!

We know that the equation for the volume of a pyramid is:
V = 1/3(bh)
We know that:
V = 200 km³
b = 12 × 5 = 60 km²
We can plug these into the equation:
200 = 1/3(60)(h)
Simplify:
200 = 20h
Divide both sides by 20:
200/20 = 20h/20
h = 10 km
Answer:
79 degrees.
Step-by-step explanation:
It is just a rule of trigonometry that all the angles inside ANY triangle will add up to 180 degrees.
There's only 3 possible angles in a triangle, so if you know what the sum of 2 are, its easy to find the last one.
All you have to do is 180 - 101, which equals 79 degrees.
Hope this helped : )