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>
For roots of -2, 5, and 7.
x = -2, x = 5, and x = 7
x = -2 x = 5 x = 7
(x + 2) = 0 (x - 5) = 0 (x - 7) = 0
The polynomial of least degree would be:
(x -2)(x - 5)(x - 7) = 0
(x -2)(x -5) = x(x - 5) - 2(x -5)
= x² - 5x - 2x + 10
= x² - 7x + 10
(x² - 7x + 10)(x -7)
x(x² - 7x + 10) - 7(x² - 7x + 10)
x³ - 7x² + 10x - 7x² + 49x - 70
x³ - 7x² - 7x² + 10x + 49x - 70
x³ - 14x² + 59x - 70
The least is x³ - 14x² + 59x - 70
Question:
Read the excerpt from Julius Caesar, act 1, scene 2.
CASSIUS: ‘Tis just; And it is very much lamented, Brutus, That you have no such mirrors as will turn Your hidden worthiness into your eye, That you might see your shadow. I have heard 5 Where many of the best respect in Rome– Except immortal Caesar‐speaking of Brutus, And groaning underneath this age’s yoke, Have wished that noble Brutus had his eyes.
BRUTUS: Into what dangers would you lead me, Cassius, 10 That you would have me seek into myself For that which is not in me?
CASSIUS: Therefore, good Brutus, be prepared to hear. And since you know you cannot see yourself So well as by reflection, I, your glass, 15 Will modestly discover to yourself That of yourself which you yet know not of.
Answer:
The correct choice is D)
Explanation:
Cassius speaks of Brutus as one who is unable to see or know his own value and presumes to help him therewith. He does this by pointing out that many of the well respected people in Rome wish that he were in Caesars shoes as King.
Cheers!
change in velocity = 20 - 0 = 20
change in time = 2 seconds
Divide the change in velocity over the change in time: 20/2 = 10
The average acceleration is 10 m/s^2
I.e, each second, the speed increases by 10 m/s
Answer:
Option D. statistical inference
Step-by-step explanation:
We are given the following situation in the question:
"A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 21 years."
This is a n example of statistical Inference.
- Statistical inference is the procedure of making inference or estimating parameters of a population with the help of test statistics.
- In the given situation the university students are the population and the students of a particular class are sample.
- The professor with the help of sample statistic (mean age of students in class) approximated the mean age of students in the university.
