Step-by-step explanation:
x+13⁰+10x+13⁰+2x-2⁰= 180⁰
13x= 180-24
13x=156
x = 12⁰
now angle Q = 10x+13⁰
= 10(12)+13= 120+13
= 133⁰
The confidence interval formula is computed by:
Xbar ± Z s/ sqrt (n)
Where:
Xbar is the mean
Z is the z value
S is the standard deviation
N is the number of samples
So our given are:
90% confidence interval with a z value of 1.645
Sample size 40, 45
Mean 180, 179
Standard deviation 2, 4
So plugging that information in the data will give us a
confidence interval:
For 1:
Xbar ± Z s/ sqrt (n)
= 180 ± 1.645 (2 / sqrt (40))
= 180 ± 1.645 (0.316227766)
= 180 ± 0.520194675
= 179.48, 180.52
For 2:
Xbar ± Z s/ sqrt (n)
= 179 ± 1.645 (4 / sqrt (45))
<span>= 179 ± 1.645 (0.596284794)</span>
therefore, the answer is letter b
Newton's law of motion has three parts. The second of which states that the force needed to move an object is directly proportional to the acceleration of the motion. The proportion can be written as,
F = ka
where k is the constant of proportionality. This can be substituted with the mass of the object such that the equation would become.
F = ma
where F is force, m is mass, and a is acceleration.
Answer:
A 270° rotation about point B'
Step-by-step explanation:
Rotation is clockwise so you can see that the final transformation is a rotation 270° clockwise
Answer:
0
Step-by-step explanation:
2a+6=6
-6=-6
2a=0
2 2
a=0
