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3 years ago

A = {1, 3, 5, 7, 9}

1 answer:

kondor19780726 [428]3 years ago

7 0

The $\cap$ symbol means intersection, so everything that is in both sets, and the $\cup$ symbol means union, so the two sets combined.

$B \cup C = \{1, 2, 4, 5, 6, 7, 8, 9, 10\} = S$
$A \cap S= \{1, 5, 7, 9\}$

So the answer is A.

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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

How are the solutions to the inequality -2x ≥ 10 different from the solutions to -2x > 10?

CaHeK987 [17]

Answer:

First lets find the solutions to each inequality.

-2x $\geq \\$ 10 and -2x>10 (divide both sides by -2 to solve)

x $\leq$ -5 and x<-5

x $\leq$ -5 tell us that x could be -5 or less.

x<-5 tells us that x could be -6 or less.

The first one is less than or equal to which tells you that there is a possibility that the number is shows is could be an answer

Hope this helps ;)

4 0

4 years ago

780 as a percentage of 1.5

Anna [14]

780 as a percentage of 1.5
= $\frac{780}{1.5} *100$
=52,000 percent of 1.5

4 0

3 years ago

When solving subtraction problems, what should you do when there aren't enough counters to remove?

OleMash [197]

Answer: If you are little you can use you fingers but if you are older you can try to write it down.

Step-by-step explanation:

8 0

3 years ago

Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year

larisa86 [58]

Assuming that 1.5% annual interest is converted to monthly basis with the same amount, then the monthly interest should be: 1.5%/12= 0.125%.

If you put $1000 for annual interest, the saving account would become: $1000*(100%+1.5%)= $1015

If you put $1000 for monthly interest, the saving account would become: ($1000*(100%+0.125%)= $1000*1.0151035559= $1015.10

Then, the money difference should be: $1015.10-$1015= $0.10

6 0

3 years ago