What we can say with a good deal of certainty is that our sample is biased towards the higher spectrum and that the real value of the mean for our population is lower than the obtained value of our sample. If this is true, we should expect for the standard deviation to be higher than in the population.
Answer:
11). m∠W = 70°
12). m∠M = 95°
13). m∠Q = 135°
14). m∠Q = 55°
15). m∠X = 110°
Step-by-step explanation:
11). m∠W + m∠X = 180° [Consecutive interior angles]
(24x - 2) + (36x + 2) = 180°
60x = 180°
x = 
x = 3
Therefore, m∠W = (24x - 2)°
m∠W = (24×3 - 2)
= 72 - 2
= 70°
Since opposite angles of a parallelogram are equal in measure.
m∠Y = m∠W = 70°
12). m∠J + m∠K = 180° [Consecutive interior angles]
(6x + 19) + (8x + 7) = 180°
14x + 26 = 180
14x = 180 - 26
14x = 154
x = 
x = 11
m∠K = (8x + 7)
m∠K = 8×11 + 7
m∠K = 95°
Since m∠M = m∠K
Therefore, m∠M = 95°
13). m∠Q = m∠S [Opposite angles of a parallelogram]
x + 135 = 2x + 135
2x - x = 0
x = 0
Therefore, m∠Q = 135°
14). m∠Q = m∠S [Opposite angles of a parallelogram]
14x - 1 = 13x + 3
14x - 13x = 3 + 1
x = 4
m∠Q = (13x + 3)
= 13×4 + 3
= 52 + 3
m∠Q = 55°
15). m∠Z = m∠X
(19x - 4) = (17x + 8)
19x - 17x = 12
2x = 12
x = 6
m∠X = (17x + 8)°
m∠X = 17×6 + 8
m∠X = 110°
Answer:
Step-by-step explanation:
Let (x,y) be midpoint of P(3,4) & Q(5,−2)
Midpoint formula for two points (a,b) and (c,d) is
(x,y) =(
2
a+c
,
2
b+d
).
x=
2
3+5
=4
y=
2
4−2
=1
∴ (x,y)=(4,1)
6m Divided by 2.7 Seconds
6/2.7=<span>2.22222222222
2.22222222 Meters per second is end velocity
the change in velocity is Start velocity (0m/s) - end velocity (2.222222222m/s)
So the Change in velocity is 2.222222222m/s
To find acceleration it is Change in velocity (2.2222222m/s)/Time (2.7m/s)
2.222222222222/2.7=</span><span>0.82304526749
acceleration=</span><span>0.82304526749 Meters per second Squared
This also would make sense as we already know acceleration is less on the moon.
Answer=</span>0.82304526749m/s ²<span> </span>
Randomization is important to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills.
<h3>What is randomization in an experiment?</h3>
Randomization is when subjects in an experiment are placed in either the control group or the treatment group without any structure. They are placed in either groups randomly. The purpose of randomization is to ensure that subjects in either group are homogenous.
To learn more about randomization, please check: brainly.com/question/20629933
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