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Musya8 [376]
3 years ago
12

Counting numbers are to be formed using only the digits 1, 9, 8, 6, 2, 4, and 5. determine the number of different possibilities

for two-digit numbers
Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

Assuming numbers can repeat

7^2=49

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Two fair dice are rolled. Determine whether the events are dependent or independent. (a) (the first die shows 3) and (the two di
Alborosie

Answer: The events are independent

a) p = 1/36 b) p = 5/216

Step-by-step explanation: both events are independent because the fact that the first die shows it sample space {1, 2, 3, 4, 5, 6} does not stop the second die from showing it own sample space too which is {1, 2, 3, 4, 5, 6}.

The sample space of first die = {1, 2, 3, 4, 5, 6}

The sample space of second die = {1, 2, 3, 4, 5, 6}

The sample space of 2 dice rolled at once is seen as attachment to this answer, find attachment below.

Probability that an event will occur = number of time the event will occur / total number of possible outcome of the event

a)

Probability that first die will show 3 = number of times 3 shows up in the event / total number of outcome of the die = P (3)

P (3) = 1/6

Probability that 2 dice sum up to give 7 = 6/ 36 = 1/6 ( from the sample space for 2 dice attached, it is seen that the sum of 7 comes out 6 times and the total sample space is 36)

P (first die show 3) = 1/6

P ( 2 dice sum to 7) = 1/6

P ( first die show 3) and P ( 2 dice sum to 7) = 1/6 * 1/6 = 1/36.

b)

Probability of the first die showing 4 = P(4) = 1/6

Probability of 2 die sum up to give 8 = 5/36

P ( first die show 8) and P ( 2 die sum up to give 8) = 1/6 * 5/36 = 5/216

7 0
3 years ago
The number of decimal places in the product will be sum of the factor"s decimal place.So the product will have 1,2,3 or 4 decima
vampirchik [111]

Answer:

0.47 \to 2\ digits

3.2 \to 1\ digit

Product \to 3\ digits

Step-by-step explanation:

Given

0.47 * 3.2 =

See comment for complete question

Required

The number of decimal places

To do this, we simply calculate the number of digits after the decimal points

0.47 \to 2\ digits

3.2 \to 1\ digit

The product is the sum of the digits above 2 + 1 = 3

Hence:

Product \to 3\ digits

6 0
3 years ago
Becca Buy 1.5 pounds of grapes and paid $3.72 what was the cost per pound of grapes
Trava [24]
3.72÷1.5=2.48
$2.48 per pound

4 0
3 years ago
Simplify this expression;<br>3(2x+7)
Advocard [28]

Answer:

6x+21 (Maybe)

Are you doing the buddy method, how is your teacher wanting to do this, When you respond I might have the correct answer

(buddy method) Multiply the 2x and 7 by the 3 giving you 6x+21 and then that's it you cant do anything else but I don't know if that's how you're teacher wants it done.


5 0
3 years ago
Read 2 more answers
What is the least common denominator of the fractions 2/3 and 3/5? HELP PLEASE
grigory [225]

Answer:what is the least common denominator of the fractions 2/3 and 3/5? HELP PLEASE

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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