Model mural::
L*W = 0.3 sq. ft
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Actual mural::
(5L)(5W) = 25*LW = 25*0.3 = 7.5 sq ft.
Hello :
cscx = -5/2
1/sinx =-5/2
sinx=-2/5
sin²x+cos²x=1
4/25+cos²x=25/25
cos²x = 21/25
between 270 and 360 : cosx > 0 cosx=(<span>√21)/5
but : sin2x =2sinx cosx
sin2x = 2(-2/5)(</span>(√21)/5)
sin2x = (-4√21)/25
Answer:
a) No, since 80 is less than 2.5 standard deviations above the mean; b) Yes, since 80 is more than 2.5 standard deviations above the mean.
Step-by-step explanation:
For part a,
The mean is 70 and the standard deviation is 5. This means that 2 standard deviations above the mean is 70+5+5 = 80.
This means that 80 is not an outlier, as it is not more than 2.5 standard deviations above the mean.
For part b,
The mean is 70 and the standard deviation is 3. This means that 2 standard deviations above the mean is 70+3+3 = 76; 3 standard deviations above the mean is 70+3+3+3 = 79. 80 is more than this, so yes, it is an outlier.