Write and solve an equation of ratios:
5 65
--- = ------
4 x
Then 5x = 260, or x = 52. There are 52 girls on the team. Note, as a check, that 65/52 reduces to 5/4, as it must.
Answer:
B
Step-by-step explanation:
3x - 3 > 42
3x - 3 42
+3 + 3
3x > 45
3x / 3 45/3
x > 15
x can be 16
Answer:
C is the right answer
Step-by-step explanation:
In this case we have the events
<em>A: The subject is telling the truth.
</em>
<em>B: The the polygraph indicates that the subject is lying
</em>
Recall that P(B|A) is defined as the probability that the event B occurs given that the event has already occurred, and is equals to P(B∩A)/P(A).
So, with the events we have defined, <em>P(B|A) indicates the probability that the polygraph indicates lying given that the subject is actually telling the truth.
</em>
The most suitable answer is thus, C
Isolate the term with 
.
Differentiate both sides with respect to 
.
By the product and chain rules,
Solve for the partial derivative, then evaluate at 
.
Answer:
- mass: 35.2 kg
- momentum: 218 kg·m/s
- velocity: ≈ 6.19 m/s
Step-by-step explanation:
The mass and momentum are given in the problem statement. You are expected to know that ...
... momentum = mass × velocity
To find the velocity, you can fill in the given numbers in this relation, then solve.
... 218 kg·m/s = 35.2 kg · velocity
... (218 kg·m/s)/(35.2 kg) = velocity ≈ 6.193182 m/s . . . . . (divide by mass)
Rounded to appropriate precision, ...
... velocity = 6.19 m/s
_____
<em>Comment on word problems</em>
A word problem generally gives you the values of certain quantities, and may give you the relationship between them. It will ask you to make use of the given relationship(s), or one(s) you are expected to know, in order to find the values asked for. Laws of physics (as here), universal constants, geometric relationships, financial relationships, algebraic relationships, and other relationships may be involved. That is why you study these things, learn math and English vocabulary, and pay attention in the real world. (By the time you get to college, you are also expected to be familiar with number facts and the operation of your calculator.)
