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
nadya68 [22]
3 years ago
14

Two points along a straight stick of length 36 cm are randomly selected. The stick is then broken at those two points. Find the

probability that all of the resulting pieces have length at least 6.5 cm.
Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0

Answer:

0.2103

Step-by-step explanation:

Since the Distribution is uniform (as it is along a straight line), so we can consider the probabilities as direct areas.

It can represented by a square having an area of 36^{2}.

Area of whole stick = Length x Breadth = 36 x 36 =1296 cm^{2}

This area is equal to probability of 1.

Now when two points are randomly selected, they can be represented as :

X_{1} and X_{2}

After breaking from two points, there will be three pieces of stick

1 piece Least length = 6.5 cm

3 piece length = 6.5 x 3 = 19.5 cm

Area of pieces with at least 6.5cm length = (Length .of. whole .stick- length .of. 3. pieces)^{2} = (36 - 19.5)^{2} = (16.5 cm)^{2} = 272.25 cm^{2}

Probability of resulting pieces having at least 6.5 length = P (6.5 length) = \frac{(Area -of -pieces -with-6.5 -length)}{Area-of-stick}

P (6.5 length) = \frac{272.5}{1296} = 0.2103

which is the probability that all of the resulting pieces have length at least 6.5 cm.

You might be interested in
Marco and his two younger sisters would like to purchase a silver charm bracelet for their mother’s birthday. they went to the m
ioda

Function would be f(x) = 5x+85

here, x= 15

5(15)+85 = 75+85 = $160

8 0
3 years ago
Photo above <br><br>please answer
alina1380 [7]
I THINK the answer would be around 2/3/4 paper clips, I'm not sure. And keep in mind, I;m not responsible for any wrong answers/ invalid responses.
5 0
3 years ago
What is the volume, V, of a right triangular prism with a base that is a right triangle with legs measuring 7 inches and 4 inche
kotegsom [21]

Answer:

98

Step-by-step explanation:

i just finished this practice

7 0
3 years ago
Read 2 more answers
For the function f(x) = x^2 ­ -12, find (f o f^­-1)(4) A. 4 B. 0 C. 10 D. 6
Nataly [62]
(f o f^-1) x  = x
therefore (f o f^-1) 4 = 4

Its A
5 0
3 years ago
Please include an explanation of B thank you!!​
Eddi Din [679]

Answer:

A. $67

B. 6 percent

Step-by-step explanation:

Explain B: divide the earning last month by a percent knowing that the 20% is 67 the value should be less then 10%.

4 0
3 years ago
Other questions:
  • 3/10 + -1 / 10 = 3 + 1/10 = 4/10 = 2/5 correct the error in finding the sum
    8·1 answer
  • Can you take 7 from 8
    8·2 answers
  • Find a cofunction with the same value as the given expression. csc 52°
    15·1 answer
  • The toll on a bridge is $ 1.00 for cars and $ 2.50 for trucks. In one hour, a toll operator raises a total of $ 105 in tolls. Wr
    10·2 answers
  • The lifetimes of light bulbs of a particular type are normally distributed with a mean of 350 hours and a standard deviation of
    10·1 answer
  • Slope of -1 and it passes through the origin
    9·1 answer
  • The basketball game at the high school started at 7:30 PM and ended at 10:38 PM how long did the game last?
    8·1 answer
  • What is the constant rate of change?​
    7·1 answer
  • The nine cats in a pet store were weighed. Their weights (in pounds) are given below.
    8·2 answers
  • Simplify 5x^2+43x-18=0
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!