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
Ira Lisetskai [31]
3 years ago
10

In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter

of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44? A.154d = (14)(44) B.154/d = 44/14 C.14d = 154/44
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0
The answer is <span>B.154/d = 44/14 
</span>
<span>In a circle, the circumference (C) and diameter (D) vary directly:
C = kD
k = C/D

Circle 1: k = C1/D1
Circle 2: k = C2/D2</span>

C1/D1 = C2/D2
C1 = 154
D1 = ?
C2 = 44
D2 = 14

154/D1 = 44/14
So, the choice B. is correct.
You might be interested in
A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A student is assigned 10 problems. (a) What
Scilla [17]

Answer:

a) P=0.3174

b) P=0.4232

c) P=0.2594

d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.

Step-by-step explanation:

The appropiate distribution to model this is the hypergeometric distribution:

P(X=x)=\frac{\binom{s}{x}\binom{N-s}{M-x}}{\binom{N}{M}}=\frac{\binom{6}{x}\binom{54}{10-x}}{\binom{60}{10}}

a) What is the probability that none of the questions are essay?

P(X=0)=\frac{\binom{6}{0}\binom{54}{10-0}}{\binom{60}{10}}\\\\P(X=0)=\frac{1*(54!/(10!*44!)}{60!/(10!*50!)} =\frac{2.3931*10^{10}}{7.5394*10^{10}} = 0.3174

b)  What is the probability that at least one is essay?

P(X=1)=\frac{\binom{6}{1}\binom{54}{9}}{\binom{60}{10}}\\\\P(X=1)=\frac{6*(54!/(9!*43!)}{60!/(10!*50!)} =\frac{3.1908*10^{10}}{7.5394*10^{10}} =0.4232

c) What is the probability that two or more are essay?

P(X\geq2)=1-(P(0)+P(1))=1-(0.3174+0.4232)=1-0.7406=0.2594

8 0
3 years ago
If 1/2x = a= 2/3y and x + y= na, what is the value of n?
Fynjy0 [20]

Answer:

Step-by-step explanation:

\frac{1}{2} x=a=\frac{2}{3} y\\\frac{1}{2}x=a\\x=2a \\\frac{2}{3} y=a\\y=\frac{3}{2} a\\x+y=2a+\frac{3}{2} a=\frac{4a+3a}{2} =\frac{7}{2} a=na\\n=\frac{7}{2}

4 0
2 years ago
Assume a gasoline price of $3.55 per gallon. What is the gasoline cost for a 2000 mile trip if you drive at an average speed of
saul85 [17]

Answer:

The driving time at 54 miles per hour is 37.04 hours.

Step-by-step explanation:

8 0
3 years ago
. (a + b)2 – (2a – b)
inn [45]

Answer:

(-b) is the answer.

Step-by-step explanation:

2(a-b)-(2a-b)

=2a-2b-2a+b (opening the brackets)

= -b

Hope this helps you buddy. Have a nice day^_^.

If you have doubt then you can ask in comments. I will surely answer.

3 0
3 years ago
Read 2 more answers
Evaluate the problem <br>​
m_a_m_a [10]

Answer:

-2

Step-by-step explanation:

  1. Log_{2}\frac{1}{4} = -2

I hope this helps!

3 0
3 years ago
Read 2 more answers
Other questions:
  • Pomoże ktoś bardzo proszę o szybką odpowiedź
    6·1 answer
  • A restaurant that can hold 300 people is divided into 20 equal parts how many people can be put in each section A restaurant tha
    5·1 answer
  • You are making punch for a team party using 3 liquids. Combine 2gallons and 3 qts, 1 gallon and 2 qts,and 3 gallons and3 qts . h
    11·1 answer
  • Janelle has 342 pennies, 62 nickels and 12 dimes
    7·2 answers
  • Help me ASAP PLEASE thanks<br><br> Please show work <br> Random answers will be moderated
    14·1 answer
  • You buy rice at $0.71 a pound a batch requires 4 pounds or rice how much is one batch​
    15·2 answers
  • HELP PLZ, im doing a quiz and i need answers!
    14·2 answers
  • Which expression represents half the sum of five and a number b?
    9·2 answers
  • 2x+25=95 what is x equal to
    7·1 answer
  • Geometry help greatly needed, check photo for more information! &lt;3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!