Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
Answer:
Step-by-step explanation:
Given that: Training-session duration of female rowers with normal iron status is Normally distributed, with mean 69 minutes and standard deviation 18minutes.
Solution:
z score shows the relationship between sample means. The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by the formula:
Given that μ = 69 minutes, σ = 18 minutes, n = 24
For x > 63 minutes:
From the distribution table, P(x > 63) = P(z > -1.63) = 1 - P(z < 1.63) = 1 - 0.0516 = 0.9484
18 = 2×3×3
30 = 2×3×5
The LCM will have factors of 2, 3², and 5. (Choose the highest power of each prime.)
2×3×3×5 = 90 is the LCM of 18 and 30.
Answer: 28
Step-by-step explanation:
420 divided by 15 is 28.
Answer: x=0
Step-by-step explanation:
Solve the brackets by multiplication
2x-6+9=3x+3+x
-6+9-3=4x-2x
0=2x
x=0
