Answer:
The answer is in the explanation
Step-by-step explanation:
Mean value = 
= 438
(a) The data appeared to be centered towards 438.
There are little or no skew.
There is no outliers.
(b) yes
(c) standard deviation = s = 14.8955
95% confidence interval = 
=
= (430.3415, 445.6585)
(d) Test statistic
t = 
t = -3.3216
p -value is correctly given in option b.
No, 450 is not a plausible valaue.
Greatest Common Factor - GCF
Factors of 24: 1; 2; 3; 4; 6; 8; 12; 24
Factors of 60: 1; 2; 3; 4; 5; 6; 10; 12; 15; 20; 30; 60
Factors of 72: 1; 2; 3; 4; 6; 8; 9; 12; 18; 23; 24; 36; 72
<span>GCF(24; 60; 72) = 12
</span>other method
24|2 60|2 72|2
12|2 30|2 36|2
6|2 15|3 18|2
3|3 5|5 9|3
1| 1| 3|3
1|
GCF(24; 60; 72) = 2 · 2 · 3 = 12
Answer:
Step-by-step explanation:
#We use the base diagonal and the height diagonal to calculate the beam's height:
#The volume of the beam can then be calculated as:
Hence, the beam's volume is 
Answer:
70°, 140°, 50°
Step-by-step explanation:
110° and the angle inside the triangle are adjacent angles and sum to 180°, so
angle inside triangle = 180° - 110° = 70°
The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent
∠ 1 = angle inside triangle = 70°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 2 is an exterior angle of the triangle on the left, so
∠ 2 = 70° + 70° = 140°
∠ 2 is also an exterior angle of the triangle on the right, so
∠ 3 + 90° = 140° ( subtract 90° from both sides )
∠ 3 = 50°
