Answer:
   15°
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°.  Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
 
        
             
        
        
        
Answer:
It would change to 0.04802
Step-by-step explanation:
from this question we have that n became 400
40% of 400
= 160
p* = 160/400
= 0.4
1 - p* =
= 1 - 0.4
= 0.6
at confidence level,
1 - 0.95
= 0.05
alpha/2 = 0.025
z= 1.96
<u>margin of error. E</u>
= 1.96 x √[(0.4 x 0.6)/400]
= 1.96 x 0.0245
= 0.04802
M.E = 0.04802
 
        
             
        
        
        
7 + x/4 = 5 (common denominator is 4)
4(7+x/4) = 4 x 5  (distribute the 4 though parenthesis)
4 *7 +4x/4 = 4 x 5
4 * 7 + x = 4 x 5
28 + x = 4 x 5
28 + x = 20 (subtract the 28)
x = 20 - 28
x = -8
 
        
                    
             
        
        
        
Answer:
16/9
Step-by-step explanation:
(4/3) ^2
(4/3) * (4/3)
First the numerators
4*4 = 16
Then the denominators
3*3 = 9
Numerator over denominator
16/9