27. According to media research, the typical American listened to 195 hours of music in the last year. This is down from 290 hours 4 years earlier. Dick Trythal! is a big country and western music fan. He listens to music while working around the house, reading, and riding in his truck. Assume the number of hours spent listening to music follows a normal probability distribution with a standard devia- tion of 8.5 hours. a. If Dick is in the top 1% in terms of listening time, how many hours did he listen last year? b. Assume that the distribution of times 4 years earlier also follows the normal probability distribution with a standard deviation of 8.5 hours. How many hours did the 1% who listen to the least music actually listen?

Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 30-3 1…

A: The given matrix is                                 A=30-3143004  and its eigen values are  λ=3,4

Q: 5.78+9.1

A: We have given that,  5.78+9.1 We will find the addition of the given values?

Q: help me

A: x = 46°                 (Corresponding angles are equal)

Q: In Grade 1l-Einstein there are 49 students, where there are forty-one female students. Find the…

A: We Know that  Ratio is the quantitative relation between two amounts showing the number of times one…

Q: 16) 93

A: Explanation of the solution is given below...

Q: 6)270

A: Given data:   The given expression is 270/6.     The number 270 can be written as, 270=3×90=3×2×45

Q: 10 + 2/4 = O 20 O 5 O 10

A:

Q: -9 81 -2 9 8 7 6 Which best represents the equation of the graphed conic section?

A:

Q: 1805

A:

Q: 74.1 6.

A:

Q: 0.1092 + 0.21

A:

Q: 6   9,171.6

A:

Q: 81 (1) 420

A:

Q: 26 in 26 in

A:

Q: Foctors of 18

A: Factorization of the number is obtained by the writing the number as the product of prime numbers A…

Q: 707 55. 12

A: Consider the given expression as 70712

Q: 1.3 2 457 1 Evaluate @4 248

A:

Q: 86 10. 24 abe 2:4:3 9.

A: Answer 9 but given information in question 10 is incorrect

Q: 20 Σ 36"

A:

Q: 8. 2 k=1 3k

A:

Q: 60 6 30 V3/2

A: Topic:- trigonometry ratios

Q: 6. (r- 30)° ot

A: In this question ....we fint out all angles of triangles. we know that the sum of all angles of…

Q: Sy 121

A: Given,         25y2 = 121

Q: 19 *72°

A:

Q: {n fan c) (wp

A:

Q: | = +x 6.

A:

Q: 2.73-0.94

A: Here we subtract a number in another number.

Q: 60 8/6

A:

Q: 39. 2

A: according to given figure given function is decreasing in it's domain

Q: In Problems 51-60, find the indicated function or value if C(x, y) = 3x² + 10xy − 8y² + 4x 15y 120.…

A:

Q: 57° 48 33

A:

Q: 42 of

A: Here, we need to find the value of x.

Q: Number 24 1.1

A: According to the given information, it is required to verify that the indicated function is a…

Q: 9. 6100 318 + 8 8

A: Given that 68+38 Find the value of 68+38

Q: 2dt 12 18 O 14 20

A: We have to solve the integration.

Q: 7) 16 63

A:

Q: 60 16

A: The given is the right angle triangle So, AC is the hypotenuses and AC=16 and ∠C=60°.

Q: 6) 504

A: WHEN WE DIVIDE 504 BY 6,WE GET 504=6(84)+0 AS,WHEN WE DIVIDE 504 BY 6 THEN WE HAVE QUOTIENT =84 AND…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.