Answer:
Incorrect measurement
Step-by-step explanation:
Given
Shape: Triangle
Length: 22in, 10in and 11in
Required: Determine if the measurements are correct
<em>For the measurement of a triangle to be true, the sum of any 2 sides must be greater than the length of the third side.</em>
<em></em>
i.e.
--- True
--- True
--- False
Since all three conditions are not true, then the measurements are incorrect
The
formula 
, where r! is 1*2*3*...r
is the
formula which gives us the total number of ways of forming groups of r objects,
out of n objects.
for
example, given 10 objects, there are C(10,6) ways of forming groups of 6, out
of the 10 objects.
<span>The sample space S in our problem is as follows: </span>
triples selected from 5 freshmen, 4 sophomores, and 4 juniors, so that at least 1 freshman is selected.
The selection of 1 freshman can be done in 5 ways. The selection of the remaining 2 out of 4 freshmen (one is already chosen), 4 sophomores, and 4 juniors can be done in C(12, 2) many ways.
So there are in total, 5*66= 330 possible triples.
n(S)=330
The event E "selecting 2 freshmen and 1 junior" can occur in :
many ways.
so n(E)=40
P(E)=n(E)/n(S)=40/330=0.12
Answer: 0.12
To solve this system of linear equations we need a little trick called elimination steps are below
we are given the following system of equations
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
simplify and we get
now we can combine like terms on each side with the x's cancelling and get
now divide off -35
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use
so now we substitute y and get
now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)
Answer:
x = 2010
Step-by-step explanation:
It is difficult separating and organizing the data. The best I can see is that the question is asking what is the value of x to make f(x) = t(x) true. x = 2010 is a year in which enrollment was the same, 740, in both f and t.
Hey there!
To solve this expression, you must follow your orders of operations or PEMDAS (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction).
In the case of <span>5[3(14.5+7)-3]-7.4, you not only have parenthesis, but you also have brackets. To start, you would first simplify what is in the parenthesis:
</span><span>5[3(14.5+7)-3]-7.4
5[3(21.5)-3]-7.4
Now, simplify what is in the bracket, starting by multiplying 3(21.5) since multiplication comes before addition and subtraction:
</span><span>5[3(21.5)-3]-7.4
5[64.5-3]-7.4
5[61.5]-7.4
Now, multiply 5*61.5 since multiplication comes next:</span>
<span>5[61.5]-7.4
307.5-7.4
And finally, subtract what is left since it is your final operation remaining to get 300.1 as your final answer.
Hope this helps and have a marvelous day!
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