Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

Our test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
In this problem, we have that:

Then



The value of the test statistic is 
<span>b=12 ans. for the base.
Proof
168=12(2*12+4)/2
168=12(24+4)/2
168=12*28/2
168=336/2
168=168
I Hope this helps</span>
A=107
B=107
C=73
i hope this helped
Answer:
<em>0.4375secs </em>
Step-by-step explanation:
Given the height of the beach ball in feet expressed as;
y = -16t^2+14t+2 as the height that represents the height of the ball, we can look for the time taken by the ball to reach its maximum height
At the max height, the velocity is zero i.e dt/dt = 0
dy/dt = -32t + 14
0 = -32t + 14
32t = 14
t = 14/32
t = 0.4375secs
<em>Hence it took the ball 0.4375secs to reach its maximum height</em>
Answer:
4y= -x - 28
Step-by-step explanation:
the products of the gradient of parallel lines is 1
m1 x m2=1.......(1)
8-4x=0
re-arranging we have
0=-4x +8
comparing with y=mx +c we have
m1=-4
put the value of m1 in eqn 1
-4 xm2 =1
m2 =-1\2
from the relation.....
m=y-y1\x-x1
put the value of m1 above
-1\2=y-(-9)\x-0
cross multiply
-1(x-8)=4(y+9)
-x +8=4y+36
re-arranging we have
4y=-x-36+8
4y=-x-28//
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