Step-by-step explanation:
(72)¹⁴³ ≡ x (mod 7)
Since 72 ≡ 2 (mod 7),
72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).
Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)
≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).
The answer is A.
Answer:
1. 72
2. 60
3. 35
4. 32
Step-by-step explanation:
1. 6 x 4 x 3= 72
2. 5 x 3 x 4= 60
3. 5 x 2 x 2= 20
5 x 3 x 1= 15
20 + 15= 35
4. 5 x 3= 15
2 x 2=4
4 x 8= 32
Answer:
Step-by-step explanation:
The rule is if 2 chords intersect inside a circle, then the measure of the angle formed is one half the um of the measure of the arcs intercepted by the angle and its vertical angle. In other words, angle TSU = 1/2(arc TU + arc MV):
angle TSU = 1/2(90 + 80) and
angle TSU = 1/2(170) and
angle TSU = 85
SOLUTION
From the given data the mean is 62 and standard deviation is 4
It is required to find the probability that a data value is between 57 and 62
That is:
The z scores is calculated using:
Using the x values it follows:
Also,
Thus the required probability is:
![P(-1.25The proability is:[tex]P(-1.25This can be expressed as percentage as:[tex]P(-1.25\lt z\lt0.75)=66.8\%](https://tex.z-dn.net/?f=P%28-1.25The%20proability%20is%3A%5Btex%5DP%28-1.25This%20can%20be%20expressed%20as%20percentage%20as%3A%5Btex%5DP%28-1.25%5Clt%20z%5Clt0.75%29%3D66.8%5C%25)
Therefore the correct option is C
