(x2 - 2)(-5x2 + x) = (x2)(-5x²)+(x2)(x)+(-2)(-5x2) + (-2)(x) is an example of:

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

An arithmetic progression is a sequence of numbers in which the distance (or difference) between any two successive numbers if t

notsponge [240]

Answer:[m, m+d, m+2d, - - - - -, n]

Step-by-step explanation:

We know the formula for arithmetic progression is a_(n) = a_(1) + (n-1)d

Where a_(n) is the nth term of the sequence

a_(1) is the first term of the sequence

n is the number of the term like if we are talking about 7th term so the n is 7.

d is the difference between two successive terms.

For this problem we know our first term that is m, our last term that is n and our difference that is d.

For second term we will use the formula

a_(2) = m + (2-1)d

a_(2) = m + (1)d

a_(2) = m + d

Similarly,

a_(3) = m + (3-1)d

a_(3) = m + (2)d

a_(3) = m + 2d

3 0

3 years ago

Quadrilateral A has side lengths 2,3,5 and 6. Quadrilateral B has side lengths 4,5, 8 and 10. Could one of the quadrilaterals be

Makovka662 [10]

Answer:

No

Step-by-step explanation:

Given

Quadrilateral A: 2,3,5 and 6

Quadrilateral B: 4,5, 8 and 10

Required

Determine if one is a scale of another

To do that, we have to divide the corresponding lengths to give ratio.

Considering Side of A = 2 and Side of B = 4

$Ratio = \frac{B}{A}$

$Ratio = \frac{4}{2}$

$Ratio = 2$

Considering Side of A = 3 and Side of B = 5

$Ratio = \frac{B}{A}$

$Ratio = \frac{5}{3}$

$Ratio = 1.67$

There's no need to check further, since the two ratios calculated so far do not have the same value;

<em>Hence, one quadrilateral is not a scale of the other</em>

7 0

3 years ago

Use the fundamental counting principle to determine all the possible outcomes from rolling a die once then spinning the spinner.

Rudik [331]

The answer is there are 6 possible outcomes: {1, 2, 3, 4, 5, 6} Hope this helps!

6 0

3 years ago

Write the equation of the line in slope intercept form that goes through the point (2,3) and has a slope of -1/2.

elena55 [62]

The answer is y =-1/2x + 3

4 0

4 years ago