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
Mrrafil [7]
3 years ago
11

A certain candle is designed to last nine hours. However, depending on the wind, air bubbles in the wax, the quality of the wax,

and the number of times the candle is re-lit, the actual burning time (in hours) is a uniform random variable with a = 5.5 and b = 9.5.
Suppose one of these candles is randomly selected.
(a) Find the probability that the candle burns at least six hours.
(b) Find the probability that the candle burns at most seven hours.
(c) Find the mean burning time. Find the probability that the burning time of a randomly selected candle will be within one standard deviation of the mean. (Round your answer to four decimal places.)
(d) Find a time t such that 25% of all candles burn longer than t hours.
Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

Step-by-step explanation:

a) P(X > 6) = (9.5-6)/(9.5-5.5) = 3.5/4 = 0.875

b) P(X < 7) = (7-5.5)/(9.5-5.5) = 1.5/4 = 0.375

c) E(X) = (9.5+5.5)/2 = 7.5

Standard deviation = (9.5-5.5)/sqrt(12) =4/3.46 = 1.154

P= 1.156*2/(9.5-5.5) = 2.308/4 = 0.577

d) P(X > t) = 0.25

 (9.5-t) /(9.5-5.5) = 0.3

9.5-t = 1.2

t = 9.5-1.2 = 8.3

You might be interested in
Please help me solve for x in the following magic square...<br>​
o-na [289]

Answer:

x = 1/2

Step-by-step explanation:

The sum of numbers in all rows, columns and diagonals have to be the same.

Notice the diagonals do not have an x so let's sum those numbers to see what the sum for all must be.

-2+(1/2) +3 = (-4+1+6)/2 = 3/2

-5+(1/2)+6 = (-10+1+12)/2 = 3/2

Now we can pick the first row and sum the numbers up knowing that the result should be 3/2, will find x

-2+x-3+6 = 3/2, combine like terms

         x+1 = 3/2 , subtract 1 from both sides

            x = (3/2)-1, find common denominator and subtract

            x = (3-2)/2, combine like terms

            x = 1/2

Check or work:

Rows from top to down

-2 +(1/2) -3 +6 = (-4+1-6+12)/2 = 3/2✅

17*(1/2) +(1/2) +(1/2)-8 = (17+1+1-16)/2 = 3/2✅

-5+(9/2) -2(1/2) +3 = (-10+9-2+6)/2 = 3/2✅

Columns from left to right

-2+17(1/2)-5 = (-4+17-10)/2 =3/2✅

(1/2)-3+(1/2)+(9/2)-2(1/2) = (1-6+1+9-2)/2 = 3/2✅

6+(1/2)-8+3 = (12+1-16+6)/2 = 3/2✅

Diagonals

-2+(1/2) +3 = (-4+1+6)/2 = 3/2✅

-5+(1/2)+6 = (-10+1+12)/2 = 3/2✅

3 0
2 years ago
Is 2/5 greater than less than equal to 2/3 * please tell me how to do the work! And not just tell the answer bc this is a test!*
Likurg_2 [28]

Answer:

2/5 is less than 2/3

Step-by-step explanation:

bc  the bottom number is how many in total and in 2/3 the number on the top only needs 1 more to be a whole.

3 0
2 years ago
In order to estimate the typical amount of TV watched per day by students at her school of 1,000 students, a student has all of
Alja [10]

Answer:

1) the number of hours of TV watched

2)  quantitative

3) Mean or Median

Completed details of Question

Additional details to the question are as below

1) Identify the variable measured on each student.

2) Is the variable categorical or quantitative?

3) Identify two statistics that the student could use to summarize the variable.

a) Mean or Median

b) Mean or Proportions

c) Mean or Mode

d) Median or Mode.

Explanation to the answer:

1) The variable measured on each student is the number of hours of TV watched

2) The variable is the amount of time, therefore it is quantitative.

3)  Quantitative data can be used compare the exact size and extent of difference in two quantities. Therefore, the two statistics that the student could use to summarize the variables would be Mean or Median. Mean will be the average time and Median will be the middle when the amount of time is ordered from least to greatest.

6 0
3 years ago
Help help help help help plz
sweet-ann [11.9K]

Answer:

22 1/2

Step-by-step explanation:

try it

7 0
2 years ago
Read 2 more answers
Round 2.349 to the hundredths place.
slava [35]

Answer: 2.35

Step-by-step explanation:

Tenths is first place after decimal, Hundredth is 2nd place after decimal.

Look towards next place (thousandths place)

Greater than 5? Round up

7 0
3 years ago
Read 2 more answers
Other questions:
  • ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
    11·1 answer
  • Which of the following equations will produce the graph shown below?
    14·2 answers
  • (TEST TOMORROW) Rewrite the expression using a positive exponent.
    6·1 answer
  • Julina is planninf a 1224-mile driving trip. Her car gets an average of 34 mpg, and the cost of gas is about $3.56/gallon. What
    7·1 answer
  • There are 30 blue cubes in the box.<br> What is the total number of cubes in the box
    10·1 answer
  • What is the answer to this question? I do not know
    13·2 answers
  • HARD POINT TUESDAY <br><br><br> ANSWER THIS EQUATION <br><br> -4x - 2y= -12<br> 4x + 8y = -24
    8·1 answer
  • Given that a&gt;0 compare: a+20/40 and a+10/20
    13·1 answer
  • Find the arithmetic mean of 14 and 29.
    7·2 answers
  • Absolute Value Inequalities -7|x-6|&gt;-56
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!