answer.
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
Ronch
2 months ago
6

The probability that a customer's order is not shipped on time is 0.06. A particular customer places three orders, and the order

s are placed far enough apart in time that they can be considered to be independent events. Round your answers to four decimal places.
(a) What is the probability that all are shipped on time?
(b) What is the probability that exactly one is not shipped ontime?
(c) What is the probability that two or more orders are not shipped on time?
Mathematics
1 answer:
AnnZ [12.3K]2 months ago
5 0

Response:

a)

b) 0.044

Step-by-step breakdown:

Part a)

A Sonet consists of 14 lines. Raymond Queneau published a collection of 10 sonnets, each placed on separate pages. This implies that every page contains a 14-line poem. We are to determine how many unique sonnets can be created from the 10 published sonnets.

As the first line of a new sonnet can be chosen from any of the 10 published sonnets, it offers 10 options for the selection of the first line. Likewise, the second line of the new sonnet can also be from any of the 10 sonnets, leading to another 10 choices for the second line, and this applies identically for all 14 lines, resulting in 10 options for each line.

According to the fundamental principle of counting, the total number of possible sonnets would equal the product of the options available for all 14 lines.

Thus,

the number of sonnets created from those in the book = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 =

sonnets

Therefore,

can be formed from the 10 in the book.

Part b)

Next, we will ascertain how many sonnets can be generated that utilize none of the lines from the first and last page. Given that there are 10 pages total, the exclusion of the 1st and last leaves us with 8 pages (8 sonnets).

Consequently, the number of options for each line of such a sonnet will be restricted to 8 choices. Applying the fundamental principle of counting, the total sonnets with no lines from either the first or last sonnet is calculated as

P = (0.94)^{3}

This shows the number of favorable outcomes that ensure the selection of a sonnet does not result in lines from the first or last sonnet in the collection.

Thus,

The probability that no lines are selected from either the first or the last sonnet =

You might be interested in
The base of a right pyramid with apex V is a square ABCD of side 10cm. The length of each slant edge is 15cm. Calculate:
PIT_PIT [12445]

Response:

  a. height of the pyramid: 5√7 cm

  b. overall area: (100 +200√2) cm²

  c. volume: (500/3)√7 cm³

Step-by-step explanation:

b) Each triangular face is an isosceles triangle with a base measuring 10 cm and a side length of 15 cm. That side length serves as the hypotenuse of the right triangle formed when an altitude is drawn. The altitude length can be calculated using the Pythagorean theorem as...

  h = √(15² -5²) = √200 = 10√2... cm

The lateral area equals the combined area of the four triangular faces, each one having this altitude and a base of 10 cm

  LA = 4 × (1/2)bh = 2bh

  LA = 2(10 cm)(10√2 cm) = 200√2 cm²

Additionally, the area of the square base is calculated as...

  A = s² = (10 cm)² = 100 cm²

Thus, the total surface area of the pyramid can be expressed as...

  A + LA = (100 +200√2) cm².... overall surface area

__

a)  The altitudes of opposite triangular faces along with a line drawn across the center of the base form another isosceles triangle. The height of this triangle corresponds to the pyramid's height. This height can also be derived with the Pythagorean theorem.

The altitude of the face acts as the hypotenuse of the right triangle, with half the base width being one side. The other side equates to the pyramid's height.

  height = √((10√2)² -5²) = √175 = 5√7

The pyramid's height is 5√7 cm.

__

c) The volume is determined using the formula...

  V = (1/3)Bh

where B represents the base area (100 cm²) determined earlier, and h stands for the height (5√7 cm) calculated in section (a).

  V = (1/3)(100 cm²)(5√7 cm) = (500/3)√7 cm³.... pyramid volume

6 0
1 month ago
Five more than twice a number is three times the difference of that number and two. What is the number.
Zina [12379]

Response:

2(3-n)+5.

Clarification:

Twice a number plus five equals three times the difference between that number and two. "More" indicates addition, hence twice the number is represented as multiplying N (or whatever variable) with the determination that it equals three times the reduction of that number and two.

5 0
2 months ago
A community center charges x dollars for a summer activity if individuals are signed up before the day of the activity. Individu
lawyer [12517]

Answer:

The correct answer appears to be A, please inform me if that is incorrect.

Step-by-step explanation:

5 0
2 months ago
Read 2 more answers
Which statements describe a residual plot for a line of best fit that is a good model for a scatterplot? Check all that apply.
babunello [11817]

Response: The accurate statements include:-

There are nearly equal quantities of points located above and below the x-axis.

The points are distributed haphazardly without a distinct pattern.

The total number of points matches that of the scatter plot.

Explanation:

  • A residual plot illustrates residuals on the vertical axis against the independent variable on the horizontal axis.

Consequently, the count of points is on par with the scatter plot, and roughly the same amount of points exist above and below the x-axis.

Given the random distribution of the points throughout the plot, it signifies there is no correlation, therefore, the points are scattered randomly without a clear arrangement.


8 0
2 months ago
Read 2 more answers
Which statements describe the sequence –3, 5, –7, 9, –11, …? Check all that apply. The sequence has 5 terms. The 4th term of the
babunello [11817]
<span>The set of the sequence includes all natural numbers
</span><span>The 4th term in the sequence equals 9
</span><span> The point (4, 9) appears on the sequence's graph.</span>
5 0
2 months ago
Read 3 more answers
Other questions:
  • Mia has 1/2 of a pizza. She divides it equally among 4 people. Which model shows the fraction of a whole pizza each person gets
    14·1 answer
  • The percent decrease from 12 to 9 is equal to the percent decrease from 40 to what number
    12·1 answer
  • After a rotation, A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). Which rule describes th
    14·2 answers
  • Tristan has found a good job as a bookkeeping clerk after finishing his associates degree at the local community college. He is
    7·2 answers
  • You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi
    13·2 answers
  • A car traveled 23 miles in 15 minutes. how many miles per hour was it traveling?
    8·2 answers
  • ) If the pattern shown continues, how many black keys appear on a portable keyboard with 49 white keys? Suggestion: use equivale
    12·2 answers
  • $1,200, 3.9%, 8months
    7·2 answers
  • a concrete company is pouring concrete into a triangular form as the center of a new playground. the foreman measures the triang
    9·1 answer
  • A team of dermatological researchers were studying skin cancer among 60-70 year old American men. Suppose you were a part of the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!