A<span>. What proportion have SAT scores greater than 700? Z= 2 ; 2.28%
B. What proportion have SAT scores greater than 500? 50%
C. What is the minimum SAT score needed to be in the highest
10% of the population? Z= 1.28; 628
D. If the state college only accepts students from the top 60% of the SAT distribution, what is the minimum SAT score needed to be accepted? Z= .26; 474</span><span>
</span>
Answer:
(12,10)
Step-by-step explanation:
Let the midpoint of the side opposite this vertex have coordinates B(a,b)
We have the centroid at C(8,7) and the vertex of the triangle at A(0,1).
The centroid divides AB internally in the ratio 2:1
We use the formula:

where m:n=2:1 is the ratio of internal division.
We substitute the coordinates of A and B and the ratio to get:

This should simplify and give us the centroid.

This implies that:

We solve for a and b


Therefore the midpoint of the side opposite this vertex is (12,10)
A number cube generally has 6 sides. If you wanted a 3 or a 5 out of one roll, the probablitility would be 2/6. Multiply 2/6 times 180. Your answer is 60 times.
So exponenetial growth or decay
it goes like this
f(t)=P(1+r)^t
r=rate of decay or grouth
if r>0 then it is grouth by r
if r<0 then it is decay
i
P=initial amount
so
given
f(x)=5500(1.65)^t
f(x)=5500(1+0.65)^t
0.65>0 so it is growing by 65%
take the √(-1-3)^2+(3-(-4))^2
Which should give you √65 or about 8.062