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siniylev [52]
3 years ago
13

Hailey wants to put a skirt around her desk to hide all her computer equipment and cords. She measured her desk, found the dimen

sions, and drew the sketch below.
Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

C.\ Perimeter = 48 * 18

Step-by-step explanation:

Given

See attachment for her sketch

Required

Which equation do not represent the perimeter

From the attached sketch:

L =18in --- Length

W =48in --- Width

Perimeter (P) is calculated as:

P = 2 * (L + W)

This gives:

P = 2 * (18 + 48) ---- This represents (A)

Open bracket

P = 2 * 18 + 2*48 ---- This represents (B)

In algebra:

2 * a means a+ a

So, the expression becomes

P = 18 + 18 +48 + 48 --- This represents (D)

<em>This implies that (C) does not represent the perimeter</em>

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Answer: It's Already simplified!

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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>
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46 meters use pie= 3.14
Ugo [173]
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Yeah B it’s B I’m pretty sure
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Instructions: Given the following constraints, find the maximum and minimum values for z.
loris [4]

Answer:

x+3y\leq 0        

x-y\geq 0

1) x+3y=0

x-y=0

-----

4y=0

y=0

x=0

(0,0)

2)(x+3y=0)3

3x-7y=16

3x+9y=0

3x-7y=16\\------\\16y=-16

y=-1

(3,-1)

3)(x-y=0)3

3x-7y=16

3x-3y=16

3x-3y=0

3x-7y=16\\------\\4y=-16

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(3,-1):z=-8

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Maximum \:Value\: of\: z:0

Minimum\: Value\: of\: z:-24

<u>OAmalOHopeO</u>

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