Answer:
D
Step-by-step explanation:
Multiply both sides by 12 to get x+36<_84.
Then move the constant to the right to get x by itself: x<_84-36
Subtract 36 from 84 to get 48.
Now you're left with x<_48
btw <_ is less than or greater than i just don't know how to place the sign on top of the underscore :/ hope this helped :)
Answer: 125/168
Explanation
<span> irrational
</span>
answer
<span>C.sqrt of 11
</span>
Answer:
66.67% probability that all selected components function properly
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the components are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Desired outcomes:
2 components which function properly, from a set of 5. So

Total outcomes:
2 components, from a set of 6. So

Probability:

66.67% probability that all selected components function properly
Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed = 
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings = 
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
=
+
- 2bcCos A
=
+
-2(5000 x 3000) Cos 105
=
+
-2(5000 x 3000) x (-0.2588)
= 2.5 x
+ 9 x
+ 7764000
= 41764000
a = 
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.