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Alekssandra [29.7K]
3 years ago
12

What are the factors of the expression below

Mathematics
2 answers:
MAXImum [283]3 years ago
8 0
Answer is (x + 1)(x - 1)
Hatshy [7]3 years ago
6 0
Answer: (x + 1)(x - 1)

Explanation:

x² - 1 = x² - 1² = (x + 1)(x - 1)


The Wise Orange knows that a² - b² = (a + b)(a - b)
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Solution of the equation<br> 3x/5+1=4x/15+7
Anika [276]

Answer:

x = 18

Step-by-step explanation:

Given

\frac{3x}{5} + 1 = \frac{4x}{15} + 7 ( subtract 1 from both sides )

\frac{3x}{5} = \frac{4x}{15} + 6

Multiply through by 15 to clear the fractions

9x = 4x + 90 ( subtract 4x from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

4 0
3 years ago
What is the mean for this list of numbers? 19, 22, 24, 45
STALIN [3.7K]

Answer:

27.5

Step-by-step explanation:

To find the mean you basically just add all of the numbers then divide by how many there are.

So, for this problem, 19+22+24+45=110

110/4=27.5

Hope this helped!!

5 0
2 years ago
Lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. a bank conducts inter
Otrada [13]
Part A:

Given that lie <span>detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector correctly determined that a selected person is saying the truth has a probability of 0.85
Thus p = 0.85

Thus, the probability that </span>the lie detector will conclude that all 15 are telling the truth if <span>all 15 applicants tell the truth is given by:

</span>P(X)={ ^nC_xp^xq^{n-x}} \\  \\ \Rightarrow P(15)={ ^{15}C_{15}(0.85)^{15}(0.15)^0} \\  \\ =1\times0.0874\times1=0.0874
<span>

</span>Part B:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.25
Thus p = 0.15

Thus, the probability that the lie detector will conclude that at least 1 is lying if all 15 applicants tell the truth is given by:

P(X)={ ^nC_xp^xq^{n-x}} \\ \\ \Rightarrow P(X\geq1)=1-P(0) \\  \\ =1-{ ^{15}C_0(0.15)^0(0.85)^{15}} \\ \\ =1-1\times1\times0.0874=1-0.0874 \\  \\ =0.9126


Part C:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The mean is given by:

\mu=npq \\  \\ =15\times0.15\times0.85 \\  \\ =1.9125


Part D:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The <span>probability that the number of truthful applicants classified as liars is greater than the mean is given by:

</span>P(X\ \textgreater \ \mu)=P(X\ \textgreater \ 1.9125) \\  \\ 1-[P(0)+P(1)]
<span>
</span>P(1)={ ^{15}C_1(0.15)^1(0.85)^{14}} \\  \\ =15\times0.15\times0.1028=0.2312<span>
</span>
8 0
3 years ago
What is the factored form of the following polynomial?<br> 8x^2 + 12x
Novay_Z [31]

Answer:

4x(2x + 3)

Step-by-step explanation:

8 0
3 years ago
Need help please answer !!!
DerKrebs [107]
I feel like it might be the second one
8 0
3 years ago
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