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yanalaym [24]
3 years ago
10

A store sells a certain digital camera model for $108. During a special promotion, the camera is discounted by 30%. What is the

discounted price?​
Mathematics
1 answer:
Pavel [41]3 years ago
3 0

Answer:

discount=108$-$32.4=75.6

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Each of 165 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be
denpristay [2]

Answer:

Step-by-step explanation:

Given that each of 165 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be free of scratches), yielding the following data

x freq x*f x^2*f

   

0 25 0 0

1 34 34 34

2 37 74 148

3 29 87 261

4 19 76 304

5 8 40 200

6 8 48 288

7 5 35 245

   

165 394 1480

Mean 2.387878788 8.96969697

Variance 3.267731864  

We get E(x) = 2.388 and hence unbiased estimator of mu is 2.388

b) Variance = 3.268

6 0
3 years ago
Which equation is a point-slope form of the equation of this line?
tigry1 [53]
The y-intercept is easily read:  it is (0,5).  The slope, m, is m = rise / run

       7-1
= ----------- = 6/3 = 2
      1-(-2)

Thus, the eqn of the line is y = 2x + 5.  In point-slope format, y-5=2(x-0).
3 0
3 years ago
Which statements are true regarding the relationships between central, inscribed, and circumscribed angles of a circle? Check al
mamaluj [8]

Answer:

# A circumscribed angle is created by two intersecting tangent segments ⇒ true (1st answer)

# The measure of a central angle will be twice the measure of an inscribed angle that intercepts the same arc ⇒ true (3rd answer)

# The measure of a central angle will be equal to the measure of an inscribed angle when the arc intercepted by the inscribed angle is twice as large as the arc intercepted by the central angle ⇒ true (6th answer)

Step-by-step explanation:

* Lets revise the types of angles in a circle

- A circumscribed angle is the angle made by two intersecting

 tangent lines to a circle (it's out side the circle)

- Its measure is half the difference of the measures of the two

 intercepted arcs

- Ex:

∵ AB and AC are tangent to circle M at B and C

∴ ∠A is a circumscribed angle

∴ m∠A = 1/2(m major arc BC - m minor arc BC)

- An inscribed angle is an angle formed by two chords in a circle

  which have a common endpoint, this common endpoint is the

  vertex of it

- Its measure is half the measure of the intercepted arc

Ex:

∵ XY and XZ are two chords in circle M

∴ ∠YXZ is an inscribed angle subtended by arc YZ

∴ m∠YXZ = 1/2 (m arc YZ)

- A central angle is an angle with endpoints located on the

 circumference of the circle and its vertex is the center of the circle

- Its measure is the measure of the intercepted arc

- Ex:

∵ MA and MB are two radii of circle M

∴ ∠AMB is a central angle subtended by the opposite arc AB

∴ m∠AMB = m of arc AB

- The measure of an inscribed angle is half the measure of the

  central angle which subtended by the same arc

- Ex:

∵ ∠ABC is an inscribed angle in circle M subtended by arc AC

∵ ∠AMC is a central angle subtended by arc AC

∴ m∠ABC = 1/2 m∠AMC

∴ m∠AMC = 2 m∠ABC

* Lets solve the problem

- From the facts above:

# A circumscribed angle is created by two intersecting tangent

  segments ⇒ true

# The measure of a central angle will be twice the measure of an

   inscribed angle that intercepts the same arc ⇒ true

- Lets prove the last statement

∵ AMC is a central angle of circle M subtended by arc AC

∴ m∠AMC = m of arc AC ⇒ (1)

∵ XYZ is an inscribed angle of circle M subtended by arc XZ

∴ m∠XYZ = 1/2 m of arc XZ

∵ m of arc XZ is twice m of arc AC

∴ m∠XYZ = m of arc AC ⇒ (2)

- From (1) and (2)

∴ m∠AMC = m∠XYZ

∴ The statement down is true

# The measure of a central angle will be equal to the measure of

   an inscribed angle when the arc intercepted by the inscribed

   angle is twice as large as the arc intercepted by the central

   angle ⇒ true

8 0
3 years ago
Read 2 more answers
Brian ate 1/5 of a pie. The colin ate 1/5 of the pie, and david ate 1/5 of the pie.
sleet_krkn [62]

Answer:

2/5

Step-by-step explanation:

5 0
3 years ago
Please Help ASAP!! Marking Brainliest!! Divide <img src="https://tex.z-dn.net/?f=12x%5E2%20%2B%204x%5E3%20%2B%2018%20%2B%2016x"
MrMuchimi

Answer:

The answer is C

Step-by-step explanation:

Just calculate it

4 0
3 years ago
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