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
Anuta_ua [19.1K]
3 years ago
13

This Question: 4 pts

Mathematics
1 answer:
dybincka [34]3 years ago
8 0

Answer:

<em>The percentage of the students who completed the poll preferred rock and roll music.</em>

<em>P(RR) = 0.1423 = 14.23 %</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given total number of students n(S) = 1960</em>

Given the Students at a high school were polled to determine the type of music they preferred.

Rap 916

Alternative 46

<em>Rock and Roll 279</em>

Country 183

Jazz 32

Other 89

<em>Let ' RR' be the event of Rock and Roll preferred music</em>

<em>given </em>Rock and Roll = 279

<em>n( RR) =  279</em>

<em>The percentage of the students who completed the poll preferred rock and roll music.</em>

<em></em>P(RR) = \frac{n(RR)}{n(s)} = \frac{279}{1960}<em></em>

<em>P(RR) = 0.1423 = 14.23 %</em>

<em></em>

<em></em>

You might be interested in
If the federal reserve sells 70,000 in treasury bonds to a bank at 9%
Anton [14]

Answer:

it is decreased by $70,000

Step-by-step explanation:

Federal reserve sells $70,000 in treasury bonds to a bank at 9%

6 0
3 years ago
Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isot
Andrews [41]

Answer:

The approximate difference in the half-lives of the isotopes is 66 days.

Step-by-step explanation:

The decay of an isotope is represented by the following differential equation:

\frac{dm}{dt} = -\frac{t}{\tau}

Where:

m - Current mass of the isotope, measured in kilograms.

t - Time, measured in days.

\tau - Time constant, measured in days.

The solution of the differential equation is:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where m_{o} is the initial mass of the isotope, measure in kilograms.

Now, the time constant is cleared:

\ln \frac{m(t)}{m_{o}} = -\frac{t}{\tau}

\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }

The half-life of a isotope (t_{1/2}) as a function of time constant is:

t_{1/2} = \tau \cdot \ln2

t_{1/2} = -\left(\frac{t}{\ln\frac{m(t)}{m_{o}} }\right) \cdot \ln 2

The half-life difference between isotope B and isotope A is:

\Delta t_{1/2} = \left| -\left(\frac{t_{A}}{\ln \frac{m_{A}(t)}{m_{o,A}} } \right)\cdot \ln 2+\left(\frac{t_{B}}{\ln \frac{m_{B}(t)}{m_{o,B}} } \right)\cdot \ln 2\right|

If \frac{m_{A}(t)}{m_{o,A}} = \frac{m_{B}(t)}{m_{o,B}} = 0.9, t_{A} = 33\,days and t_{B} = 43\,days, the difference in the half-lives of the isotopes is:

\Delta t_{1/2} = \left|-\left(\frac{33\,days}{\ln 0.90} \right)\cdot \ln 2 + \left(\frac{43\,days}{\ln 0.90} \right)\cdot \ln 2\right|

\Delta t_{1/2} \approx 65.788\,days

The approximate difference in the half-lives of the isotopes is 66 days.

4 0
3 years ago
Read 2 more answers
Charlie picks 468 tomatoes from his garden. He puts 12 tomatoes in each bag. He sells each bag for $8. What TWO equations can Ch
jeka57 [31]

Answer:

Step-by-step explanation:

A

5 0
2 years ago
Choose an online tool or paper to create an icon by transforming the shape according to the rule T(0, 3) ∘ Rℓ(△CDE).
creativ13 [48]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
Whoever answers the questions correctly gets brainlist
andrew11 [14]

Answer:

2. B

3. B

4. 2(7k+5h)

5. $325

Step-by-step explanation:

2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.

3) It is B because if you distribute the 8 to 2a and 3b, you'll get 16a and 24b, which is the given expression.

4) The given expression is 10h + 14k and in the equivalent expression, you are given 5h. To get from 10 to 5, you must divide by 2. This tells you that 2 is being distributed, so you put 2 before the parentheses. Since you divided 10 by 2, you want to do the same to 14, which is 7. Therefore, it is 2(7k+5h).

5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.

7 0
3 years ago
Other questions:
  • Jay Miller insured his pizza shop for $200,000 for fire insurance at an annual rate per $100 of $.49. At the end of 10 months, J
    7·1 answer
  • An open topped fish tank had a length if 60 inches, width if 14 1/2 inches and height if 15 inches. What is the volume of the wa
    15·1 answer
  • Using side lengths only ,could triangles be similar
    7·1 answer
  • There are roads at the two ends of the bike path, but the remainder of the paved bike path goes through the woods. What proporti
    5·1 answer
  • 3.25 repeating as a fraction
    11·1 answer
  • 20 point help.brainliest will be mark
    11·2 answers
  • The diagram shows a trapezoid prism.
    5·1 answer
  • PLEASE HELP! only 48 mins left!
    15·1 answer
  • I'm a combined two and a coconut juice for Cancer of 250 mL condensed milk for ice candy if the capacity of ice candy plastic is
    15·1 answer
  • Ill give brianliest if right pls help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!