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Blababa [14]
2 years ago
6

It costs $50 to join a bowling club plus a monthly fee, the total costs for the year is $350

Mathematics
1 answer:
kvasek [131]2 years ago
5 0
$25 a month :)  (its too short so i hope you have a lovely day)
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Solve for side BC pls help
defon

Step-by-step explanation:

hope this helps you with the question

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3 years ago
Salvador’s bathroom has a circular window. The radius of the window measures 12 inches. What is the approximate area of the wind
leonid [27]

Answer:

37.68

Step-by-step explanation:

12 times 3.14 = 37.68

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3 years ago
Read 2 more answers
Elaine is 8 years younger than her brother Tyler. The sum of their ages is 34. Define a variable and then write and solve an equ
Damm [24]

Answer: Elaine=13 years old Tyler=21 years old

Step-by-step explanation:

Let x = Elaine's age, so her brother Tyler's age = x+8

 Elaine+Tyler=34

          x+(x+8)=34

             2x+8=34

                 2x=26

                   x=13

Elaine=13 years old

Tyler=21 years old

6 0
2 years ago
The Student Council is making 6 pennants to promote school spirit. Each pennant is in the shape of a right triangle 20 cm high a
hodyreva [135]
7200
You have to multiply 20×60 to get 1200 which is the area of one pennant multiply that by six and you get 7200 which is the area of six pennant
3 0
3 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
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