Find the common difference of the arithmetic sequence. 4,32/3,31/3,3 The common difference is

The probability that a student has a Visa card (event V) is .63. The probability that a student has a MasterCard (event M) is .1

Aleksandr-060686 [28]

Answer:

a) The probability that a student has either a Visa card or a MasterCard is 0.71.

b) V and M are not independent.

Step-by-step explanation:

Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.

To find :

a) The probability that a student has either a Visa card or a MasterCard ?

b) In this problem, are V and M independent ?

Solution :

The probability that a student has a visa card(event V) is P(V)= 0.63

The probability that a student has a MasterCard (event M) is P(M)= 0.11

The probability that a student has both cards is $P(V \cap M)=0.03$

a) Probability that a student has either a Visa card or a Master Card is given by,

$P(V \cup M) = P(V) + P(M) - P(V\cap M)$

$P(V \cup M) = 0.63+ 0.11- 0.03$

$P(V \cup M) =0.74- 0.03$

$P(V \cup M) =0.71$

The probability that a student has either a Visa card or a MasterCard is 0.71.

b) Two events, A and B, are independent if $P(A\cap B)=P(A)P(B)$

For V and M to be independent the condition is satisfied,

$P(V\cap M)=P(V)P(M)$

Substitute the values,

$0.03=0.63\times 0.11$

$0.03\neq 0.0693$

So, V and M are not independent.

6 0

3 years ago

During the construction of a road a mountain of 250 metres in height, through it will be the construction of a tunnel. The top o

raketka [301]

Answer:

542.74 m

Step-by-step explanation:

Tan(48.3) = 250/a Multiply by a

a*tan(48.3) = 250 Divide by tan(48.3)

a = 250/Tan(48.3)

a =222.74

By a similar method b = 250/tan(38)

b = 319.99'

The total length =542.73 meters

3 0

3 years ago

An expression is shown below. (x4/3)(x2/3) What is the product of the two factors?

alexdok [17]

Answer:

8x^2/9

Step-by-step explanation:

If you attenpt to simplify the factors among themselves you will only get the same answer than from what the factors are right now and if you simplify them both you get 8x^2/9

Hope this Helps

3 0

4 years ago

The sum of a number and 12 is 31. Inches hat is the number?

Leviafan [203]

Answer:

n+12=31

n=31-12

n=19

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A triangle has side lengths of 12, 15, and x. The value of x must ne greater than what?

Bezzdna [24]

Answer:

3 < x < 27

Step-by-step explanation:

We can't tell what "must ne greater" means, so we'll tell you the limits on the side length and you can choose the one that is relevant.

The third side of a triangle must have a length that lies between the difference and sum of the two lengths you know.

15 -12 = 3

15 +12 = 27

The value of x must be between 3 and 27:

3 < x < 27

__

If you allow the triangle to have zero area, then x can be 3 or 27. Many authors claim such a "triangle" is not allowed, so don't allow those cases.

7 0

4 years ago