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nadya68 [22]
2 years ago
10

What is the image of (-8, 2) after a reflection over the y-axis?

Mathematics
1 answer:
BARSIC [14]2 years ago
4 0

Answer:

(8, 2)

Step-by-step explanation:

When taking a point and reflecting it over the y-axis, the x coordinate turns into its opposite.

(-8, 2) ⇒ (8, 2)

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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
Identify the asymptote(s) of this function: y=5/(x-4)+1
Dimas [21]
y= \frac{5}{(x-4)+1}
y= \frac{5}{x-3}
So you take the denominator and compare to zero. 
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x-3=0
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Then the horizontal asymptote is y = 0
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3 years ago
What is the solution to the equation x + 11 = 57? (Input a whole number only.) Numerical Answers Expected! Answer for Blank 1:
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X + 11 = 57 
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3 years ago
You have 4/5 cup of brown sugar in your cupboard. the recipe for a dessert calls for 1/4 cup of brown sugar. how much brown suga
Ira Lisetskai [31]

Answer:


Step-by-step explanation:

4/5 cup of brown sugar. Needs 1/4 cup. How many cups left?

Okay, so 4/5 = 0.80, 1/4=0.25.

0.80-0.25=0.55

Which is 55/100

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bixtya [17]

Answer:

B. all whole integers

Step-by-step explanation:

the question and x is talking about people, meaning that people cannot be decimals"" , so its b

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