How do you solve -2/3x=20
1 answer:
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Answer:
= 9
Step-by-step explanation:
Note there is a common ratio r between consecutive terms of the sequence, that is
r = 18 ÷ 2 = 162 ÷ 18 = 1458 ÷ 162 = 13122 ÷ 1458 = 9
A recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is
= 9
with a₁ = 2
Answer:
a) 0.75
b)5.05
c)0.02
Step-by-step explanation:
a)
P(Y>5)=?
This part is solved in the given picture.
b)
The mean of a uniform distribution is (a+b)/2.
Where a=4.95 , b=5.15.
E(Y)=(4.95+5.15)/2
E(Y)=10.1/2
E(Y)=5.05.
c)
The variance of a uniform distribution is (b-a)²/2.
V(Y)=(5.15-4.95)²/2
V(Y)=0.2²/2
V(Y)=0.04/2
V(Y)=0.02.
Answer:
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30° ⇒ last answer
Step-by-step explanation:
In any triangle if the sum of the squares of the shortest two sides is equal to the square of the longest side, then the triangle is a right triangle and the angle opposite to the longest side is the right angle
In Δ VUW
∵ WV = 6 cm
∵ WU = 3 cm
∵ UV = 3 cm
- Use the rule above tho check if it is a right Δ or not
∴ The longest side is WV
∴ The shortest two sides are WU and UV
∵ (WV)² = (6)² = 36
∵ (WU)² + (UV)² = (3 )² + (3)² = 27 + 9 = 36
∴ (WV)² = (WU)² + (UV)²
- That means ∠U which opposite to WV is a right angle
∴ Δ VUW is a right triangle at ∠U
∴ m∠U = 90°
Let us use the trigonometry ratios to find m∠W and m∠V
→ sin Ф =
∵ UV is the opposite side of ∠W
∵ WV is the hypotenuse
∵ sin(∠W) =
∵ sin(∠W) =
- Use to find ∠W
∴ ∠W =
∴ m∠W = 30°
∵ WU is the opposite side of ∠V
∵ WV is the hypotenuse
∵ sin(∠V) =
∵ sin(∠V) =
- Use to find ∠V
∴ ∠V =
∴ m∠V = 60°
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30°