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
Anuta_ua [19.1K]
3 years ago
7

Kapag i-round off ang 69 sa nearest tens ay____ a.68 b.69 c.70 d.71

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer:

C. 70

Step-by-step explanation:

You might be interested in
rosa has a piece of cloth she used to fourth of on making a cover for the dining table and 1/5 of in making headdress what part
sweet [91]
I ain’t never seen two pretty best friends
6 0
3 years ago
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
Uncle drew scored 28 points in 5 5/6 minutes during a game of basketball.
Lina20 [59]

The answer is \frac{24}{5} = 4\frac{4}{5} points per minute

8 0
3 years ago
Read 2 more answers
Members of the theater club sold tickets for the spring
Tpy6a [65]

so basically what i was thinking of was they sold them in the spring

8 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.
valentinak56 [21]

Answer: 39

Step-by-step explanation:

180-(39+102)

180-141

39

6 0
3 years ago
Read 2 more answers
Other questions:
  • How do I factor x^2-12x-364?
    15·1 answer
  • If Wendell were to slice the doghouse with a plane parallel to the two sides through any section of the doghouse, what shape wou
    6·1 answer
  • Reflections preserve length and size. Give a quality the a reflection does not preserve.
    5·2 answers
  • Find the area of the kite.
    9·1 answer
  • Miranda is buying a pair of shoes that are on sale for 60% of the original
    14·1 answer
  • Describe the transformations from parent function to y = -3x + 4
    11·1 answer
  • The cost of g gallons of gasoline can be modeled by C(g) = 2.25g
    13·1 answer
  • A man has a bicycle which is valued st £4,500. The cost of insurance is calculated at £9.50 for every £45. How much would he pay
    8·2 answers
  • What is 13/12 as a percentage?
    9·2 answers
  • I need the answer in the next 6 hours
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!