Answer:
See explanation below.
Step-by-step explanation:
Notation
First we need to define the following events:
E = The student is in a major of enginnering
O= The student is in a major different from enfinnering
M= The student is in the marching band
Solution for the problem
For this case we can calculate the following probability:
And that represent the following event: "Given a randomly selected student is an engineering major, what is the probability the student is in the marching band"
And the probability that need to calculate to compare is this one:
And that represent the following event: "Given a randomly selected student is NOT an engineering major, what is the probability the student is in the marching band"
And if the claim is satisfied we need to see this:
This way Sally travels 12+9=21 kilometers.
If there was a direct way she could go to work, that way would have been 15 km (because her way to work forms a right-angled triangle).
Therefore her journey would be 21-15=6 km shorter. Choice A.
Answer: 
Step-by-step explanation:
1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:
Where 
is the force acting on the object, 
is the object's acceleration and 
is the constant of proportionality.
2. Keeping this on mind, you can calculate the constant of proportionality by substituting 
and 
into the equation and solving for :
3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:
3. The result is:
If Heather puts in 1.36% of her salary into a retirement account and she makes $63,000 in a year, this can be solved by 1.36% x 63000. First convert 1.36% into a decimal. To do this, divide by 100.
1.36/100=0.0136
1.36% x 63000
=0.0136 x 63000
=856.8
Heather would put $856.8 in for the whole year. To find how much per month, divide by 12.
856.8/12=71.<span>4
</span>Rounded to the nearest dollar is $71.
Heather would put $71 into a retirement account each month.
<em>
</em><em>Note: This was solved by multiply the percent and then dividing by 12 months. You could also do this by dividing by 12 months first and then multiplying the percent.</em>
There's no pic or worksheet!!
