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IgorC [24]
3 years ago
8

Square root of x-5 +7=11

Mathematics
1 answer:
Nitella [24]3 years ago
7 0

x=21 when you make it a square root> your welcome

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Trapezoid ABCD is congruent to trapezoid . Which sequence of transformations could have been used to transform trapezoid ABCD to
dedylja [7]
The answer is D: Trapezoid ABCD was reflected across the y-axis and then rotated 90° counterclockwise around the origin
4 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
Help please due soon
KATRIN_1 [288]

Answer:

y = 6x

Step-by-step explanation:

You can easily find the slope by using slope formula:

(y2-y1) / (x2-x1) (the numbers are subscript)

E.g: (24-12) / (4-2) = 12/2 = 6

m(slope) = 6

Hope this helped :)

(You can also check if it’s correct by inputting the coords into the equation, seeing if all solutions are aplicable).

5 0
2 years ago
What information does a supply schedule provide?
Ratling [72]

The <em><u>correct answer</u></em> is:

It shows the supply of an item at different prices.

Explanation:

The definition of a supply schedule is:

"A method used to show the different amounts of a certain product or item that a company would need to supply based on different price points. "

This means it shows the amount of a product that a company should have based on the different prices it sells them at.

6 0
3 years ago
Read 2 more answers
You go to the pet store and buy a goldfish which sells for $2.00. The store charges 9% sales tax. How much tax will you pay?
RideAnS [48]

Answer:

tax=$0.18

Step-by-step explanation:

total cost = $2.18

3 0
2 years ago
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