1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali [406]
3 years ago
11

If the spin rate of the CD is 580 rpm what distance is traveled by the piece of dust (in radians) in 2.9 mins

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

d=10568.76rads

Step-by-step explanation:

From the question we are told that:

Angular Velocity \omega=580rpm=>60.74rads/sec

Time t=2.9mins=>174sec

Generally the equation for distance d is mathematically given by

 d=\omega*t

 d=60.74*174

 d=10568.76rads

You might be interested in
4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are
Elina [12.6K]

Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.

The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.

Hypergeometric distribution:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • 1000 people means that N = 1000
  • 130 can wiggle their ears, thus k = 130
  • Two are selected, thus n = 2.

The probability that neither can wiggle his or her ears is P(X = 0), thus:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = x) = h(0,1000,2,130) = \frac{C_{130,0}C_{870,2}}{C_{1000,2}} = 0.7568

0.7568 = 75.68% probability that neither can wiggle his or her ears.

A similar problem is given at brainly.com/question/24826394

5 0
2 years ago
Evaluate 2b^2 − 4a + 4a^2 for a = 3 and b = −8.
kipiarov [429]

(2*(-8)^2)-(4*3)+(4*3^2)

128-12+36

152

6 0
3 years ago
If cosθ=2/3 find cscθ using identities. This is in quad. 1.
laiz [17]

Step-by-step explanation:

  • cos θ = 2/3

\quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\

Hence, base = 2 units and hypotenuse = 3 units.

\quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\

\quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\

\quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\

\quad \twoheadrightarrow\sf { P^2 = 9- 4} \\

\quad \twoheadrightarrow\bf { P = \sqrt{5}} \\

Now, we know that :

\quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\

\quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\

Therefore, the required answer is 3/√5.

4 0
2 years ago
IT COST $9 TO GO TO PETE'S POTTERY PLACE TO MAKE YOUR OWN BOWLS $3 PER BOWL. NATALIE GOES TO PETE'S POTTERY PLACE AND MAKES B BO
S_A_V [24]
C= 5(9*3b)
C= 5(9*12)
C= 5(108)
C=540
8 0
3 years ago
Which is the smallest number in this set of numbers? <br> A. √8<br> B. 14/5<br> C. 2.28<br> D. 2.288
-Dominant- [34]

Answer:

B.

Step-by-step explanation:

a = 2.828

b = 2.800

c = 2.288

d = 2.288

8 0
3 years ago
Read 2 more answers
Other questions:
  • I WILL GIVE CROWN FOR ANSWER
    10·2 answers
  • Calculate the loss on selling 50 shares of stock originally bought at 133/4 and sold at 12.
    15·2 answers
  • Janet gets paid $24 per hour . She heard that this is 3/4 of what Adam is paid. How much is Adam paid per hour
    14·2 answers
  • .04 is 1/10 of what number ?
    13·2 answers
  • Please help me I'm really stuck lol. I'll give the first correct answer Brainliest!
    9·1 answer
  • Find the surface area of the cylinder formed by the net. Use 3.14 for π. Round your answer to the nearest tenth.
    9·2 answers
  • Which graph represents the solution to the system of equations?
    9·1 answer
  • (8.7) and (5.7) slope
    15·1 answer
  • Use an equation to find the value of k
    13·1 answer
  • Mr. Gatting poured the same amount of pepper into each of the cylindrical pepper shakers shown below. The pepper in the shaker o
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!