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
Sergio039 [100]
2 years ago
5

Are the two Rectangles congruent? How do you know?

Mathematics
1 answer:
Veronika [31]2 years ago
5 0

Yes each side and each angle has a congruent corresponding part

You might be interested in
Factor the polynomial: 3x(x-6)+8(x-6)
AysviL [449]

Its the first answer

5 0
3 years ago
Read 2 more answers
Image Above.........
Savatey [412]

Answer:

4 : 39

5 : 52

6 : 67

7 : 77

Step-by-step explanation:

7 0
2 years ago
In a chemical plant, 24 holding tanks are used for final product storage. Four tanks are selected at random and without replacem
Damm [24]

Answer:

a) P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) = 0,7120   or 71,2 %

c) P(C) = 0,2055  or P(C) = 20,55 %

Step-by-step explanation:

We will use two concepts in solving this problem.

1.- The probability of an event (A) is for definition:

P(A) = Number of favorable events/ Total number of events FE/TE

2.- If A and B are complementary events ( the sum of them is equal to 1) then:

P(A) = 1 - P(B)

a) The total number of events is:

C ( 24,4) = 24! / 4! ( 24 - 4 )!    ⇒  C ( 24,4) = 24! / 4! * 20!

C ( 24,4) = 24*23*22*21*20! / 4! * 20!  

C ( 24,4) = 24*23*22*21/4*3*2

C ( 24,4) = 24*23*22*21/4*3*2    ⇒  C ( 24,4) =  10626

TE = 10626

Splitting the group of tanks in two 6 with h-v  and 24-6 (18) without h-v

we get that total number of favorable events is the product of:

FE = 6* C ( 18, 3)  = 6 * 18! / 3!*15!  =  18*17*16*15!/15!

FE =  4896

Then P(A) ( 1 tank in the sample contains h-v material is:

P(A) = 4896/10626

P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) will be the probability of at least 1 tank contains h-v

P(B) = 1 - P ( no one tank with h-v)

Again Total number of events is 10626

The total number of favorable events for the ocurrence of P is C (18,4)

FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!

FE = 18*17*16*15/4*3*2  = 3060

Then P = 3060/10626

P = 0,2879

And the probability we are looking for is

P(B) = 1 - 0,2879

P(B) = 0,7120   or 71,2 %

c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i

having 4 with t-i tanks is:

reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:

FE = 6*4* C(14,2) = 24 * 14!/12!*2!

FE = 24* 14*13*12! / 12!*2

FE = 24*14*13/2    ⇒  FE = 2184

And again as the TE = 10626

P(C) = 2184/ 10626

P(C) = 0,2055  or P(C) = 20,55 %

5 0
3 years ago
30 slips of paper, numbered 1 to 5, are placed in a paper bag. One slip of paper is drawn at random. What is the probability of
Vadim26 [7]
The answer is 12/30, which simplified to 2/5
8 0
3 years ago
Write the number 4.8 in scientific notatation​
ivanzaharov [21]

4.8 * 0 is the scientific notation

4 0
3 years ago
Read 2 more answers
Other questions:
  • A boat travels 8 miles north from point A to point B. Then it moves in the direction S 40º W and reaches point C. Finally, it tu
    15·1 answer
  • Marla draws a diagonal in a rhombus to form two triangles. What term can she use to classify each triangle? Explain.
    7·2 answers
  • What is the value of the expression below plz help!
    8·1 answer
  • The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard d
    12·1 answer
  • Which is higher? 16 tons or 32,000 pounds?
    5·2 answers
  • Solve for the variable in 7⁄28 = 25⁄x A. 20 B. 100 C. 4 D. 5
    12·2 answers
  • Which function models the area of a rectangle with side lengths of 2x – 4 units and x + 1 units? What is the area when x = 3?
    8·1 answer
  • ASAP I HAVE A MATH FINAL PLEASE
    12·1 answer
  • The simple interest charged on a 12-month loan of $82,000 is $631. Find the simple interest rate. (Round your answer to one deci
    10·1 answer
  • Geometry help, please.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!