2014⇒2277 athletes
2013⇒2070 athletes.
x=number of athletes in 2013
110% of x=2277
(110/100x=2277
x=(2277*100)/110=2070
2012⇒2300 athletes.
x=number of athletes in 2012
90% of x=2070
(90/100)x=2070
x=(2070*100)/90=2300
Answer: 2300 athletes were signed up for a spring sport in 2012.
Answer:
C.I. = (2.297, 11.703)
Step-by-step explanation:
The t-statistic for difference of mean is given by,

Here,
= 84
= 7
s₁ = 4
n₁ = 12
s₂ = 6
n₂ = 18
Substituting all value in formula,
We get, t = -3.541 at 28 degree of freedom.
Using this formula, we get, t = 1.5342
Therefore, based on the data provided, the 99% confidence interval for the difference between the population means
is: 2.297 <
< 11.703
which indicates that we are 99% confident that the true difference between population means is contained by the interval (2.297, 11.703)
Answer:
The solution of given equation are -1 and 5.
Step-by-step explanation:
The given equation is

We need to solve the above equation by finding the zeros of

The vertex form of an absolute function is

where, a is constant and (h,k) is vertex.
Here, h=2, k=-3. So vertex of the function is (2,-3).
The table of values is
x y
0 -1
2 -3
4 -1
Plot these points on a coordinate plane and draw a V-shaped curve with vertex at (2,-3).
From the given graph it is clear that the graph intersect x-axis at -1 and 5. So, zeroes of the function y=|x-2|-3 are -1 and 5.
Therefore the solution of given equation are -1 and 5.
Now solve the given equation algebraically.

Add 3 on both sides.


Add 2 on both sides.

and 
and 
Therefore the solution of given equation are -1 and 5.