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jarptica [38.1K]
3 years ago
8

4.2×10 to the negative 2 power divided by 2×10 to the 2nd power

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
6 0
8.4 is the answer i believe
Dominik [7]3 years ago
5 0
8.4 is your answer I think
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Factor 3x + 9<br><br> Please explain how you got the answer
eimsori [14]

To factor 3x + 9 you should know that 3 is a common factor of both 3 and 9, so you can factor 3 out in both numbers like this.

3x + 9

3(x + 3)

When you factor out 3 on both numbers you should know that 3 X 3 = 9 and since you factored out 3 there would be another 3 left so you would have the answer: 3(x + 3)

Here is another equation that might help:

24x + 36

Since 12 is a common factor of both numbers, factor 12 out of the equation:

12 (2x + 3)

You know that 12 x 2 = 24 and that 12 x 3 = 36

And since you can't factor out anymore numbers because 2 and 3 doesn't have any common factors with each other you get the answer:

12 (2x + 3)


3 0
3 years ago
Your friend approaches with three, fair 5-sided dice (labeled 1 to 5). You get to roll them and your friend gives you money base
k0ka [10]

Answer:

$1.68 per match

Average Fee = $1.69

Step-by-step explanation:

Given:

- Earnings for all 3 different number = $ 1

- Earnings for 2 same number = $ 2

- Earnings for 3 same number = $ 6

- Five sided fair dice = 3

Find:

- Expected pay-out

- What fee charged per match for 10 cent income

- Reason for change to new match

Solution:

- Construct a probability distribution table, where X: payout per match

            X               $1                    $2                    $6

          P(X)           0.48                 0.48                0.04

Case X = $1 :          _    _   _   All three different numbers

     No.outcomes    5 * 4 * 3 = 60

     Total outcome  5 * 5 * 5 = 125

Hence, P(X= $ 1) = 60 / 125 = 0.48

Case X = $2 :          S    _   S   two numbers are same

     No.outcomes  = 5 * 4 * 1 = 20 per combination

     Total combinations = S _ S + S S _ + _ S S = 3

     Total outcome = 3 * 20 = 60

Hence, P(X= $ 2) = 60 / 125 = 0.48              

Case X = $6 :          S    S   S   two numbers are same

     No.outcomes  = 5 * 1 * 1 = 5 per combination

     Total combinations = 1

     Total outcome = 5 * 1 = 5

Hence, P(X= $ 2) = 5 / 125 = 0.04    

           

- Expected Payout E(X):

      E(X) = 1*0.48 + 2*0.48 + 6*0.04 = $1.68 per match

- To earn $0.01 on average the fee of match is:

      Fee_avg = E(X) + $0.01 = $1.69

- With this new plan your friend would loose less. The expected payout of a match is $1.68 for which the probability X < $ 2 is around = 0.48. However, to gain a $2 or higher P ( X > 2 ) = 0.48 + 0.04 = 0.52. Hence, the week-payout for X > 2 is greater than 7*2 = $14. So probability of week's payout to be $14 is higher than to be $ 11.76 as per average pay per day.

7 0
3 years ago
Find the area of this composite figure
ella [17]

Answer:

81 m²

Step-by-step explanation:

6x10=60

1/2(6)(7)=21

60+21=81

3 0
3 years ago
You have 5 reindeer, Jebediah, Ezekiel, Quentin, Lancer, and Gloopin, and you want to have 4 fly your sleigh. You always have yo
ollegr [7]

Answer: There are 120 different ways we can arrange reindeer.

Step-by-step explanation:

Since we have given that

Number of reindeer = 5

Number of them fly their sleigh = 4

We need to find the number of different ways we can arrange their reindeer .

For this we will use "Permutation":

here, n = 5

r = 4

So, it becomes,

^nP_r=\frac{n!}{(n-r)!}\\\\So,\\\\^5P_4=\frac{5!}{(5-4)!}\\\\^5P_4=120

Hence, there are 120 different ways we can arrange reindeer.

3 0
3 years ago
Find an equivalent fraction 2/6= 2/5=
bulgar [2K]
2/6 = 1/3
2/5 = 4/10 

Hope this helps.
5 0
3 years ago
Read 2 more answers
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