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
max2010maxim [7]
3 years ago
14

Radius OB measures x units. Which expression represents

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Answer:

Circumference of the smaller circle = 2.1x units

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?

Radius of the larger circle OB = x units

Radius of the smaller circle OA = y units

Circumference of larger circle = 2πx units

Circumference of smaller circle = 2πy units

Since circumference of larger circle is 3 times the circumference of smaller circle,

2πx = 3(2πy)

2πx = 6πy

x = 3y

y = \frac{x}{3}

Therefore, circumference of the smaller circle = 2\pi (\frac{x}{3}) units

                                                                             = \frac{2\pi x}{3} units

                                                                             = 2.094x

                                                                             ≈ 2.1x

Circumference of the smaller circle circle = 2.1x units

You might be interested in
Simplify 2x2a^2 x2a^2
horrorfan [7]

Step-by-step explanation:

> 2×2a²×2a²

8a⁴

> 36a³×1/4a²

9a³×1/a²

9a

> 2⁶

> 5²m²

6 0
3 years ago
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probab
kolezko [41]

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable <em>X</em> thus follows a Poisson distribution with parameter, <em>λ</em> = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.  

The mean of the approximated distribution of X is:

μ = λ  = 250

The standard deviation of the approximated distribution of X is:

σ = √λ  = √250 = 15.8114

Thus, X\sim N(250, 250)

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

P(235

                             =P(-0.95

Thus, the value of P (235 < <em>X</em> < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.28

Thus, the value of P(48.

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.40

Thus, the value of P(48.

(d)

Let the sample size be <em>n</em>.

P(48

                             0.95=P(-z

The value of <em>z</em> for this probability is,

<em>z</em> = 1.96

Compute the value of <em>n</em> as follows:

z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241

Thus, the sample selected must be of size 240.

5 0
3 years ago
After running 14 laps the runner had compleated 25% of the race. How many laps does he still have to compleate?
miss Akunina [59]

Answer:

42 laps

Step-by-step explanation:

7 0
2 years ago
Two numbers have the same digits in the millions period, The same digits in the thousands period, and the same digits in the one
hjlf
Not unless the digits in each period are also in the same order. That is, the digit in each PLACE must be the same.
5 0
3 years ago
Someone help me ASAP!!! It’s a timed quiz
Aloiza [94]

Answer:

n=28

Step-by-step explanation:

4+3

7+5

12+7

19+9

the pattern adds two to the last number

4 0
3 years ago
Other questions:
  • What is the approximate percent decrease when a fish count goes down from 850 to 500?
    11·2 answers
  • The (greatest, least) of the common factors of 2 or more numbers is the (greatest, least) common factor of the numbers.
    11·1 answer
  • 1/3(x+4)=20 need help
    13·2 answers
  • PLZ HURRY IT'S URGENT!!!
    9·2 answers
  • The height of a triangle is (x - 2) centimeters. The base of the triangle is (x + 7)
    7·2 answers
  • Which of the following played an important role in the shaping of modern art?
    15·2 answers
  • Jay played 350 solitaire games he won 154 of those games. What percent of the games did Jay win?
    9·2 answers
  • Elizabeth wants to rent a cart to carry her picnic items. The cost of the cart is represented by the equation c = 8 + 3h where c
    10·1 answer
  • Sally ran 2 miles in 15 minutes Clara ran 3 km in 15 minutes.Who ran the farthest? Explain
    14·1 answer
  • Help me help me help help help me​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!