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wolverine [178]
2 years ago
10

Which of the following rules represents the set of ordered pairs?

Mathematics
1 answer:
klasskru [66]2 years ago
3 0
STAN STRAYKIDS AND ILL GIVE YOU THE ANSWER
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Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?
snow_lady [41]

Answer:

The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

Step-by-step explanation:

We have 10 possible outcomes on a single throw.

So, outcomes in 3 throws = 10^{3} =1000 outcomes.

Let x be the number of strictly increasing arrangements.

Let y be the number of strictly decreasing arrangements.

Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing

So, we have x+y+z=1000

If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.

So, x = y

Hence, we can say the final equation will be :

2x+z=1000

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.

10C3=\frac{10!}{3!7!} = 120 ways

So, 2x=2\times120=240

Thus z=1000-240=760

So, the probability is = \frac{760}{1000} = 0.76

Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

4 0
2 years ago
In rectangle $ABCD$, $AD=1$, $P$ is on $\overline{AB}$, and $\overline{DB}$ and $\overline{DP}$ trisect $\angle ADC$. Write the
Studentka2010 [4]
<h3>Answer:</h3>

w+x+y+z = 12

<h3>Explanation:</h3>

When right angle ADC is divided into three equal parts (trisected), each of those parts is 90°/3 = 30°. Thus, ∠CDB = ∠PBD = ∠PDB = 30°.

The sides of a 30°-60°-90° triangle are in the proportion 1 : √3 : 2. Hence BD = 2, and PD = PB = 2/√3 = (2/3)√3.

Then the perimeter of ∆BDP is ...

... perimeter ∆BDP = BD + DP + PB

... = 2 + (2/3)√3 + (2/3)√3

... = 2 + (4√3)/3 . . . . . . . . w=2, x=4, y=3, z=3

w + x + y + z = 2+4+3+3 = 12

8 0
3 years ago
Idk how to solve this find value of x and y
uysha [10]

Answer:

Try out each different answers and see which one would work.

Step-by-step explanation:

Go to A, and then B and then C and then D to find the correct one. Plug in the answers to find out which one is correct.

7 0
3 years ago
Complete each sentence with a word from the word bank.these are the words to the sentences however,although,nevertheless,similar
iris [78.8K]
11) However, because it is contradicting their previous statement
12) Although
13) In addition, because she's adding more to her statement
14) nevertheless, because she is saying that although the picnic was wet, it was fun anyway
15) moreover
16) similarly, because it is comparing the two
4 0
2 years ago
Read 2 more answers
Does ''-3.5 · 12" equal ''-42 "?
alexandr1967 [171]
It actually equals-42.50 i believe
8 0
2 years ago
Read 2 more answers
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