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3 years ago

If 3^4(81^2) = 3^n, what is n?

Mathematics

1 answer:

Mama L [17]3 years ago

8 0

Answer:

n = 16

Step-by-step explanation:

3^4(81^2) = 3^n

3^4(3^4) = 3^n

3^16 = 3^n

n = 16

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What is 10.5% of 238?

pshichka [43]

I believe that it is 24.99 but I'm not too sure. Anyways I hope I helped!

7 0

3 years ago

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A standard deck of cards contains 52 cards. The cards have 4 different suits: clubs, diamonds, hearts, and spades. For each suit

Taya2010 [7]

Answer:

a. 108336, b. 480200

Step-by-step explanation:

a. No. of ace cards = 4

No. of non ace cards= 48

We draw 5 cards

So,

No. of ways of 2 aces = C(4,2) C(48,3)

No. of ways of 3 aces = C(4,3) C(48,2)

No. of ways of 4 aces = C(4,4) C(48,1)

Hence

No. of ways of 2 or more aces

= C(4,2) + C(48,3) + C(48,3) + C(4,3)C(48,2) +C(4,4)C(48,1)

= 6(17296) + 4(1128) + (48)

= 108336

b. No of ways any 5 cards can be chosen = C(52,5)

No. of ways kings of diamonds or queen of hearts is chosen = C(50,5)

Hence

No. of ways of choosing king of diamonds, queen of hearts or both = C(52,5) – C(50,5)

= 480200

4 0

2 years ago

1/4 ( 8x + 16) + 4x <br><br> I apparently need 20 characters for a great answer so ignore this <3

blsea [12.9K]

Answer:

2x(3x + 2)

Step-by-step explanation:

5 0

2 years ago

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Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1/3 c

True [87]

So we know there are 12 eggs and they will be distributed like this:

12=x2+y1
and 4 cups of flour:
4=1/3x+1/2y

let's see if we can find a solution in which all the materials are used:
12=x2+y1
4=1/3x+1/2y//*6

12=2x+y
24=2x+3y//*6

substract from each other:
12=2y
y=2
12=2x+y
12=2x+2
10=2x
x=5

So if nothing is wasted, he can make 5 blueberry muffins (making 12*5=60) and 2 bran muffins (2*9=18), together 78 dollars,

would it be better if instead of the bran muffins he did blueberry muffins (which are more expensive?)
for the branberry muffins he will used the double amount needed for 1: so 1 cup of oil and 2 eggs. From this he can only make 1 tray of blueberry muffins (and some oil will be left over), which will cost 12 dollars, which is less than 18

so he better make 6 blueberry and 2 bran trays

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2 years ago

Which of the following is true? a. Stratification is utilized to create a z-score across data sets. b. Summarization provides

Mrac [35]

Option D

Stratification is the splitting of data into case-specific tables is true.

<u>Explanation:</u>

Stratification is a method or configuration of layers, groups, or sections. Stratification intends to classify data/characters/objects into distinct groups or layers. Stratification consists of splitting the group into subsets (named strata) within individual of which an autonomous sample is chosen.

Stratified sampling in statistics is applied to highlight contrasts within groups in a population, as objected to simple random sampling. Stratification is the part of something, primarily society, into various groups or layers.

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3 years ago