Answer:
Both the mean and median will increase, but the mean will increase by more than the median.
Step-by-step explanation:
The median is a better representative of the central value of a data set when
the data set is highly skewed.
Note that
The median and average value only coincide when the distribution is perfectly normal.
Many outliers will also skew the distribution, and the median becomes a better representative.
Answer:
a) .033 b) .4678 c) 100
Step-by-step explanation:
Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin
General formula for z score is given by
z=
where
- X is the miraculin produced (120,110,100)
- M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
- s is the standard deviation of the sample, which is 8.0
a)
z-score for 120 g miraculin is 
=1.8375 then
P(x > 120) = P(z>1.8375) = 0.033
b)
z-score for 110 g miraculin is 
= 0.5875
z-score for 100 g miraculin is 
= -0,6625
P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678
c)
if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:
=-0.6625 which gives a= 100
The
solution would be like this for this specific problem:
729 = 4*pi * r^3/3
<span>
Multiply both sides by 3 </span>
<span>2185 = 4*pi*r3</span>
<span>Divide both sides by 4 pi.</span>
<span><span>173.9649681528662 = r3
r = </span>5.58239548</span>
A = 4 pi r^2
<span>A = 4 * 3.14 * 5.582395482</span>
<span>
A = 391.7 square inches</span>
The
surface area of the sphere to the nearest tenth of an inch is 391.7
square inches.
9514 1404 393
Answer:
MP = 38
Step-by-step explanation:
Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.
3x +14 = 9x -34
48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides
24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)
NP = 3x +14 = 24 +14 = 38
NP = OP = MP = 38
