Answer:
Center: (3, -2)
Radius: 4.
Step-by-step explanation:
The equation of a circle is (x - h)^2 + (y - k)^2 = r^2.
In this case, the equation given is (x - 3)^2 + (y + 2)^2 = 16.
That means that h = 3, and k = -2. In other words, the center of the circle is (3, -2).
The radius will be
= 4
Hope this helps!
Answer: a) 0.9332, b) 0.8944
Step-by-step explanation: the probability value attached to a z score is gotten by using a z distribution table.
The z score is gotten by making use of the formulae below
Z = x - u / σ
Where x = sample mean, u = population mean and σ = population standard deviation.
a)
For our question, u = 38, σ = 12, we are to look for the z score at z ≤ 56, that's x = 56
By substituting the parameters, we have that
z ≤ 56 = 56 - 38/ 12
z ≤ 56 = 18/12
z ≤ 56 = 1.5
To get the probabilistic value, we check the normal distribution table.
The table I'm using will be giving me probabilistic value towards the left of the area.
From the table, p ( z ≤ 56) = 0.9332.
b)
Z >23 = 23 - 38/ 12
Z >23 = - 15/ 12
Z >23 = - 1.25
The probability value of this z score is towards the right of the distribution but the table I'm using is only giving probability values towards the left.
Hence Z >23 = 1 - Z<23
From the table, Z<23 = 0.1056.
Z >23 = 1 - 0.1056
Z >23 = 0.8944
Answer:
The answer is B or pi/2 to pi radians.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Any line between two points on the circle is a chord.
Any angle with sides that are chords and with a vertex on the circle is an inscribed angle.
Any angle with sides that are radii and a vertex at the center of the circle is a central angle. Each central angle listed here should be considered a listing of two angles: the angle measured counterclockwise from the first radius and the angle measured clockwise from the first radius.
<h3>1.</h3>
chords: DE, EF
inscribed angles: DEF
central angles: DCF . . . . . note that C is always the vertex of a central angle
<h3>2.</h3>
chords: RS, RT, ST, SU
inscribed angles: SRT, RSU, RST, RTS, TSU
central angles: RCS, RCT, RCU, SCT, SCU, TCU
<h3>3.</h3>
chords: DF, DG, EF, EG
inscribed angles: FDG, FEG, DFE, DGE
central angles: none
<h3>4.</h3>
chords: AE
inscribed angles: none
central angles: ACB, ACD, ACE, BCD, BCE, DCE
