Answer:
m = 7, n = 5
Step-by-step explanation:
3m+3n=36
m + n = 12
n = 12 - m
8m-5n=31
8m - 5(12 - m) = 31
8m - 60 + 5m = 31
13m = 91
m = 7
n = 12 - 7
n = 5
A) 180 would be expected to pass.
B) The standard deviation is 4.
C) 95% of people would fall between 172 and 188.
D) Yes, this is more than 3 standard deviations below the mean.
Explanation
A) Multiply the probability by the sample size:
0.6(300) = 180
B) Standard deviation is found by:
√n(p)(1-p)
For our data, we have:
√300(0.6)(0.4) = 4
C) Two standard deviations below the mean is 180-2(4) = 172; two standard deviations above the mean is 180+2(4)= 188.
D) Three standard deviations below the mean is 180-3(4) = 168; 134 is more than this below the mean. 99.7% of data fall within 3 standard deviations of the mean; 0.15% fall below this point, so yes, this is unusually low.
Itis true <span>The shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circles radius</span>
Answer:
Fy=14.8N
Step-by-step explanation:
the dot product between 
and 
is given by:
W=
this gives the equation :
26= (4.00)(-12.0)+(5.00)Fy
26= -48+(5.00)Fy
adding 48 to both sides of the equation:
74= (5.00)Fy
dividing by 5, we get
Fy=74/5.00=14.8
