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brilliants [131]
2 years ago
8

Kai wrote the characters to the phrase 567 GNATS on separate chips and put them in a container. She selected one tile at random.

Mathematics
1 answer:
grin007 [14]2 years ago
5 0

Part 1

<h3>Answer:  3/4</h3>

------------------

Explanation:

set A = set of things we want to pull out

set A = set of odd numbers or consonants

set A = {5, 7, G, N, T, S}

There are 6 items in set A. Let p = 6.

set B = set of all possible outcomes

set B = {5, 6, 7, G, N, A, T, S}

There are three numbers and five letters, so 3+5 = 8 items total in set B. Let q = 8.

Divide the values of p and q to get the final result

p/q = 6/8 = 3/4

================================================

Part 2

<h3>Answer:   7/8</h3>

------------------

Explanation:

There is one vowel (the letter "A") out of 8 items total. So there are 8-1 = 7 items that aren't a vowel. The complement of P(vowel) is basically P(not vowel) and that's why the answer is 7/8

================================================

Part 3

<h3>Answer: 924</h3>

------------------

Explanation:

The phrase "6 TANS" has five unique items, either a number or the letters mentioned. This is out of 8 items total. So 6/8 = 3/4 is the probability of picking any of those items. If we do 1232 trials, then we expect (3/4)*1232 = 924 occurrences where that number 6 or those letters show up. This value is an estimate.

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Which of the following are true statements.
Mariulka [41]

Answer:

Second statement is true.

The lengths 7, 40 and 41 can not be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

Step-by-step explanation:

for first part of statement

The lengths 7, 40 and 41 can not be sides of a right triangle.

If the square of long side is equal to the sum of square of other two sides

then the given length can be sides of a right triangle.

Check the given length by Pythagoras Theorem.

c^{2} =a^{2} +b^{2}----------(1)

Let c=41 and a = 7 and b=40

Put all the value in equation 1.

41^{2} =7^{2} +40^{2}

1681=49+1600

1681=1649

Therefore, the square of long side is not equal to the sum of square of other two sides, So given lengths 7, 40 and 41 can not be sides of a right triangle.

for second part of statement.

The lengths 12, 16, and 20 can be sides of a right triangle.

Check the given length by Pythagoras Theorem.

Let c=20 and a = 12 and b=16

20^{2} =12^{2} +16^{2}

400=144+256

400=400

Therefore, the square of long side is equal to the sum of square of other two sides, So given the lengths 12, 16, and 20 can be sides of a right triangle.

Therefore, The lengths 7, 40 and 41 can not be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

8 0
2 years ago
Express the given product as a sum or difference containing only sines or cosines.
beks73 [17]

Answer:

sin(8x)

Step-by-step explanation:

assuming that you didn't mean to write it twice

4 0
3 years ago
Are these functional or non functional ?
svetoff [14.1K]

Answer:

Relation 3 is a function and Relation 4 is nog

6 0
3 years ago
Latasha bought a concert ticket. She does not remember the price of the ticket, but she remembers that she had to pay $1 in tax.
docker41 [41]

Answer:

Original price of ticket = $12.5

Step-by-step explanation:

Given:

8% amount = $1

Find:

Original price of ticket

Computation:

Original price of ticket = 1(100/8)

Original price of ticket = $12.5

7 0
2 years ago
F(1) = 55, f(n)=f(n - 1) +8; 95<br> The term 95 is the _th term<br><br> Need help quickly
Viefleur [7K]

Answer:

6th term

Step-by-step explanation:

95=55+8n-8

95-55=8n-8

40+8=8n

48/8=8n/8

6=n

5 0
2 years ago
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