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Maslowich
3 years ago
12

From a group of five boys and seven girls, two boys and three girls will be selected to attend a conference. In

Mathematics
1 answer:
babunello [35]3 years ago
3 0

Step-by-step explanation:

Number of combinations

= 5C2 * 7C3

= 10 * 35

= 350.

Hence there are 350 possible ways.

P.S.

5C2 = 5! / (2!3!) = 120 / (2 * 6) = 10.

7C3 = 7! / (3!4!) = 5040 / (6 * 24) = 35.

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Will give brainliest
erastovalidia [21]

Answer:

25

Step-by-step explanation:

4 0
3 years ago
Roll two fair dice. Each die has six faces. A. Let A be the event that either a 3 or 4 is rolled first followed by an odd number
zhenek [66]

Answer:

A. 0.16

B. 0.58

C. No

D. Dependent

Step-by-step explanation:

A.

The sampling space has 36 outcomes.

The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)

So P(A)= 6/36 = 0.16

B.

The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58

C.

Are A and B mutually exclusive events?

No since their intersection is not empty, for example (3,1) belongs to both A and B

D.

In order for A and B to be independent, it must happen that

P(A∩B)=P(A)P(B)

A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36  

whereas

P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72

So A and B are not independent.

7 0
4 years ago
Farida bought 20 stamps consisting of 20 sen stamps and 60 sen stamps. The total cost of the stamps is RM8.80. How many 20 sej s
krek1111 [17]

Answer:

# of 20cent stamps = 8

Step-by-step explanation:

Let the  number 20cent stamps be = x

Let the number 60 cents stamps be = y

Total number of stamps => 20 = x + y ----------- ( 1 )

Total cost of the stamps = 8.80

That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )

      ( 2 ) => 20x + 60y = 880

            => x + 3y = 44

           =>  x = 44 - 3y

Substitute x in  ( 1 ) => x  +  y = 20

                                 44 - 3y + y = 20

                                     - 2y = 20 - 44

                                     - 2y = - 24

                                       2y = 24

                                       y = 12

Substitute y = 12 in  ( 1 ) => x + y = 20

                                         x + 12 = 20

                                            x = 8

3 0
3 years ago
Which survey question is biased?
Leni [432]

Answer:

A.

Step-by-step explanation:

It was trick question because they all are opinionated, but the first one should be an easy yes or no question. However, if you do not like the president then you would say no because of bias. The rest are supposed to be "biased" because they are asking what you prefer.

6 0
3 years ago
Read 2 more answers
Molly is buying a house for $202,000. she is financing $185,500 and obtained a 30 year fixed rate mortgage with a 5.125% interes
IRINA_888 [86]

The value of the Financing loan is $185,500 . The Rate per month is 5.125%.

We will use the formula PV = PMT \times\frac{( 1 - ( 1+r)^{-n})}{r}

Where PV is the Present Value of financing, which is $185,500

PMT=Payment every month, which is to be found.

r=interest rate=5.125%

n=number of months in 30 years=12\times 30=360

\therefore 185,500 = PMT \times \frac{1-(1+\frac{5.125}{1200})}{\frac{5.125}{1200}} =PMT \times 183.6591

Therefore, PMT =\frac{185,500}{183.6591}=1010.02

Therefore Molly's monthly payments are $1010.02.

Thus Option A is the correct option.

7 0
3 years ago
Read 2 more answers
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