Answer:
m∠Q = 121°
m∠R = 58°
m∠S = 123°
m∠T = 58°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Create an expression for the sum of all the angles and equate it to 360, then solve for x:
∠Q + ∠T + ∠S + ∠R = 360
⇒ 2x + 5 + x + 2x + 7 + x = 360
⇒ 6x + 12 = 360
⇒ 6x = 360 - 12 = 348
⇒ x = 348 ÷ 6 = 58
So now we know that x = 58, we can calculate all the angles:
m∠Q = 2x + 5 = (2 x 58) + 5 = 121°
m∠R = x = 58°
m∠S = 2x + 7 = (2 x 58) + 7 = 123°
m∠T = x = 58°
Answer:The correct option is a)
The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would be unusual.
Step-by-step explanation:
The mean of a binomial distribution
μ= np where n=10 and p= 0.2 q= 1-p, q= 1-0.2=0.8
μ= 10×0.2=2
σ=√npq
σ=√10×0.2×0.8=1.26
Is unusual for the number of success to be greater than μ + 2.5σ.
= 2+2.5(1.26)
=5 approximately.
So it is unusual for it to be greater than 0.5. The right option Is a)
Answer:
It looks blurry and faded
Step-by-step explanation: