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
Katena32 [7]
3 years ago
13

Match the expressions with rational exponents to their simplified forms.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0

do it yourself

Step-by-step explanation:

You might be interested in
Ten percent of the engines manufactured on an assembly line are defective.
antoniya [11.8K]

Answer:

a) the probability that the first non-defective engine will be found on the second trial is 0.09

b) probability that the third non-defective engine will be found on the fifth trial is 0.00486

c) the Mean is 1.1111  and Variance is 0.1235  

d) the Mean is 3.3333and Variance is 0.3704  

Step-by-step explanation:

Firstly;

Let x be the number of trail on which the rth defective occurs

Also let the probability that an occurrence of a defective be p = 0.10

Here, x follows negative binomial distribution with parameters r and p

The probability mass function of X is as follows:

P(X = x) = [ x -1  p^r ( 1 - p)^(x-r)       ; x = r, r + 1, r + 2, ...

                 r - 1 ]

=   [ x -1  (0.10)^r ( 1 - 0.10)^(x-r)

     r - 1 ]

= [ x -1  (0.10)^r ( 0.9)^(x-r)  ..........n 1..... let this be equatio

    r - 1 ]

This represents the probability that the rth success occurs on the xth trail.  

a)

probability that the first non-defective engine will be found on the second trial?

Substitute r = 1 and x = 2 in equation 1  

P(X = 2)  = [ 2 - 1   (0.10)¹ ( 0.90 )²⁻¹

                   1 - 1 ]

= (0.10) × (0.90)

= 0.09

Therefore, the probability that the first non-defective engine will be found on the second trial is 0.09

b)

probability that the third non-defective engine will be found on the fifth trial?

So we substitute r = 3 and x = 5 in equation 1  

P(X = 5) = [ 5 - 1  (0.10)³ ( 0.90)⁵⁻³

                  3 - 1 ]

=    [ 4    (0.10)³ ( 0.9)²

      2 ]

= 0.00486

Therefore, probability that the third non-defective engine will be found on the fifth trial is 0.00486

Now the formula for the mean of the negative binomial distribution is as follows:  

Mean u = r / p    ------- let this be equation 2

The formula for the variance of the negative binomial distribution also is as follows:  

Variance α² = rq / p²   ---------- let this be equation 3

so

c)

the mean and variance of the number of trials on which the first non-defective engine is found.  

First, let the probability that non-defective engine found be p = 0.90

And q = (1 - p) = 1 - 0.90 = 0.10  

Now we substitute r = 1, p = 0.90 and q = 0.10 in equation 2 & 3simultaneously,

the mean and variances are as follows;

Mean = r/p = 1/0.90 = 1.1111

Variance = rq/p² = (1)(0.10) / (0.90)² = 0.1235  

Therefore the Mean is 1.1111  and Variance is 0.1235  

d)

the mean and variance of the number of trials on which the third non-defective engine is found  

Let the probability that non-defective engine found be p = 0.90

And q = (1 - p) = 1 - 0.90 = 0.10

Now we substitute r = 3, p = 0.90 and q = 0.10 in equation (2) and (3) simultaneously,

the mean and variances are;

Mean = r/p = 3/0.90 = 3.3333

Variance = rq/p² = (3)(0.10) / (0.90)² = 0.3704

Therefore the Mean is 3.3333 and Variance is 0.3704    

5 0
3 years ago
A circle has 9 times the area of another circle. If the radius of the larger circle is 27 meters, find the radius of the smaller
hoa [83]

Answer:

Step-by-step explanation:

5 0
3 years ago
I have attached the question IF ANSWERED WITHIN 10 MINUTES I WILL AWARD BRAINLIEST
Reil [10]
<3 +<4= 180
<3+25+52=180 from here <3=180-77=103
using this in first equation: 103+<4=180  <4=180-103=77
as you can see <4=77 which is the the sum of 25+52
8 0
3 years ago
Triangle ABC is a triangle with no equal sides. A new triangle congruent to triangle ABC is to be placed on the plane such that
Margarita [4]

Answer:

9

Step-by-step explanation:

im bad at explaining

6 0
3 years ago
CAN SOMEONE HELP ME PLEASE ASAP!?
kramer

Answer:

1418.03

Step-by-step explanation:

86.50 is 6.1% of what amount?

Multiply 86.50 x 100 = 8650

Divide by 6.1 = 1418.03

5 0
2 years ago
Read 2 more answers
Other questions:
  • Identify the correct way to the nearest 1/8 pound​
    5·1 answer
  • How do I solve this problem
    14·1 answer
  • Brian has 2,000 small blocks. he decided to share them with his cousin, tia. he gave tia 1/4 of the blocks. how many blocks did
    12·1 answer
  • What is
    6·1 answer
  • When Steve woke up. His temperature was 102º F. Two hours later it was 3º lower. What was his temperature then?
    7·1 answer
  • Pls help. will mark brainlist!
    5·2 answers
  • Y+1=3(x-4) Which is the ordered pair to the solution??
    6·1 answer
  • Sam built a ramp to a loading dock. The ramp has a vertical support 2 m from the base of the loading dock and 3m from the base o
    11·1 answer
  • Solve the inequality 31&lt; 3x+4
    11·1 answer
  • A small publishing company is planning to publish a new book. The production cost will include one time fix costs (such as editi
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!