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
saveliy_v [14]
3 years ago
8

There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Answer:

When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen.          Here the card is chosen with replacement.  This implies probability for choosing a prime number remains the same as the previously drawn card is replaced.

The sample space= {1,2,3,4,5,6,7,8,9,10}

Prime numbers = {2,3,5,7}

Prob for drawing prime number = 4/10 = 0.4

is the same when replacement is done.

Also there are two outcomes either prime or non prime.  Hence in this case, X the no of times a prime number is chosen, is binomial with p =0.4 and q = 0.6 and n=5


When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.

Prob for an even number = 0.5

But after one card drawn say odd number next card has prob for even number as 5/9 hence each draw is not independent of the other.  Hence not binomial.

When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.

Here since every time replacement is done, probability of drawing a 3 remains constant = 1/10 = 0.3

i.e. each draw is independent of the other and there are only two outcomes , 3 or non 3. Hence here X is binomial.

When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen

Here X is the number of times a card is chosen with replacement till 5 is chosen.  This is not binomial.  Here probability for drawing nth time correct 5 is  P(non 5 in the first n-1 draws)*P(5 in nth draw) = 0.1^(n-1) (0.9)

Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.

Step-by-step explanation:


You might be interested in
line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image
Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)

(0,-4)\rightarrow (0, 6)

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6


5 0
3 years ago
Simplify x to the 1/3 power (x to the 1/2 power + 2x to the 2 power )
OverLord2011 [107]

Answer:

x^(5/6) + 4(x^(7/3))


Step-by-step explanation:

Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )


Simplify x^(1/3) × (x^(1/2) + (2x)^2)

= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)

= x^(1/3+1/2) + 4(x^(1/3+2))

= x^(5/6) + 4(x^(7/3))


x^(1/3) is y such that y^3 = x

(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x


x^(1/2) = √2 = y such that y^2 = x

(2x)^2 = 4x^2






6 0
3 years ago
Margo has $80 to spend. She wants to buy
ivolga24 [154]

Answer:

The greates amount she could buy is 4

8 0
3 years ago
What is -0.37 as a fraction in simplest form.
Lelu [443]
-0.37 is negative thirtyseven-hundredths, so in a fraction that would be - \frac{37}{100}. 37 is a prime number, so it isn't divisible by anything, meaning <span>- \frac{37}{100} is in simplest form.</span>
7 0
3 years ago
Brainliest!! I'll do anything if u help me
yKpoI14uk [10]

Answer:

1 just solid one i hope this helps you!!!

4 0
3 years ago
Other questions:
  • What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?
    13·1 answer
  • An arithmetic sequence has first term 25 and common difference 3. Find the 50th
    13·1 answer
  • Can someone help please
    6·2 answers
  • What is the length of the line segment between A(–5, 8) and B(7, 8)? (1 point) • 2 units • 3 units • 12 units • 13 units
    7·1 answer
  • Suzanne owns a small business that employs 555 other people. Suzanne makes \$100{,}000$100,000dollar sign, 100, comma, 000 per y
    9·2 answers
  • What is the sum of the solutions to (x − 6)(x + 0.7) = 0 ?
    13·2 answers
  • Which model is most appropriate for the data shown in the graph below?
    8·2 answers
  • Choose the graph of the following equation 64(x+1)^2+36y^2=48^2
    10·1 answer
  • Help me and pls show ur steps
    11·1 answer
  • A random survey found that 8 of the 25 people surveyed prefer listening to rock music. Based on those results, about how many pe
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!