A polygraph (lie detector) is an instrument used to determine if the individual is telling the truth. These tests are considered to be 86% reliable. In other words, if an individual lies, there is a 0.86 probability that the test will detect a lie. Let there also be a 0.070 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the following questions.



a. What is the probability of Type I error? (Round your answer to 3 decimal places.)


Probability


b. What is the probability of Type II error? (Round your answer to 2 decimal places.)


Probability

Answer:

8x+20

Step-by-step explanation:

4 identical sides to a square so if each side has 2x+5 we must have 4* that.

4(2x+5)=4*2x+4*5=8x+20

answer is D

\(~~~~~\tan \left( \dfrac x2 \right) = 1\\\\\\\implies \dfrac x2 = n\pi + \dfrac{\pi}4\\\\\\\implies x = 2n\pi + \dfrac{\pi}2\)

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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The traveler must walk 17 blocks to reach the State Building.

The traveler needs to walk 8 blocks from the intersection of Orovada Street and Washington Avenue to the State Building.

She also knows that the intersection of Orovada Street and Washington Avenue is 5 blocks from the intersection of Wyoming Street and Washington Avenue, so she needs to walk 5 blocks from the intersection of Wyoming Street and Washington Avenue to the intersection of Orovada Street and Washington Avenue.

Also, the traveler had to walk 4 blocks to get from the intersection of Wyoming Street and Green Avenue to the intersection of Orovada Street and Green Avenue.

Therefore, the traveler must walk 8 + 5 + 4 = 17 blocks to reach the State Building.

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The number of students who offered Accountancy only is 10.

Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.

From the given information:

M = 30 (Number of students who offered Mathematics)

A = 20 (Number of students who offered Accountancy)

E = 40 (Number of students who offered Economics)

We are also given the following conditions:

M ∩ A > A ∩ E by 2

M ∩ E = 0

We know that the total number of students is 80, so:

M + A + E = 80

Now, let's solve for the number of students who offered Accountancy only.

We can start by substituting the given values into the equation:

30 + 20 + 40 = 80

Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).

Since none offered both Mathematics and Economics, we can subtract M from A:

A - M = A ∩ E

20 - 30 = A ∩ E

-10 = A ∩ E

Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.

Now, let's use the first condition: M ∩ A > A ∩ E by 2.

Substituting the values, we have:

M ∩ A - A ∩ E = 2

M ∩ A - 0 = 2

M ∩ A = 2

Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:

30 + A + 40 = 80

A + 70 = 80

A = 10

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Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

Answer:

y - 1 = -4(x - 7)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Slope m = -4

Point (7, 1)

Step 2: Write Equation

Plug in variables into the general formula.

y - 1 = -4(x - 7)

The equations give values of 1/2 and -11/8

you should be aware that two equations are solved simultaneously if they are solved together

The given equations are

-8x+10y=16 .............................1

-4x-5y=13 ..................................2

Multiply equation 2 by 2 to have

-8x -10y=26

Subtract equation 1 from equation 2

-8x+10y=16

-(-8x-10y=26)  To get

The we have 20y = 10

Make y the subject of the relation

y=1/2

Put y = 1/2 in equation 1

-8x +10(1/2) = 16

-8x +5 = 16

-8x = 16-5

-8x = 11

Making x the subject of the formula we have

x=-11/8

In conclusion the values of x and y are -11/8 and 1/2 respectively

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The tank holds approximately 994,040 liters.

The volume of a right circular cylinder is given by the formula:

V = πr^2h

Where

The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m

The cylinder is described as having a 6 m length.

These values are substituted into the volume calculation to produce the following result:

V = π(6.5)^2(6)

V ≈ 994.04 cubic meters

Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.

V = 994.04 cubic meters x 1000 liters/cubic meter

V = 994,040 liters

Therefore, the tank holds approximately 994,040 liters.

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Answer:

112.654

Step-by-step explanation:

112.654 x (5x60)=?

Answer:

 40

Step-by-step explanation:

you mutiply then take away the 2 last digits

Answer:

Step-by-step explanation:

0.6*3t+0.8*4t=75

so t=15

apple=3t=45

orange=4t=60

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

The number of the books sold that were Mystery books is 201.

From the information, there were 750 books sold last week at Sid's Bookstore. and the central angle for the Mystery slice is 96.48°.

In this case, it should be noted a circle graph has total angle of 360°.

This will be:

= 96.48/360 × 750

= 201

The number of books is 201.

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Answer:

C

Step-by-step explanation:

I think it is C because if you do 4+5+2=11 so, everyone answer.

A) 4(5+2)=28

B) 4x5x2=40

C) (4+5)+2=11

D) (4+5)+(4+2)=15

so, i think it is C

Answer:

The height of each floor is 16 feet.

Step-by-step explanation:

\(Floor_{ht} =\frac{Skyscraper_{ht} }{x floors} }\)

\(Floor_{ht} =\frac{1328}{83} }\)

\(Floor_{ht} =16\)

Answer:

Step-by-step explanation:

\(\sqrt[3]{x^{2} }\) written as a radical expression

The radical is the symbol that is used to represent the root in the expression n√x. The index in the given expression x^(2/3) when rewritten as a radical expression is 3.

The radical is the symbol that is used to represent the root in the expression n√x.

Given the expression \(x^{\frac23}\), which can be rewritten in the form of radical as,

\(x^{\frac23}\\\\\)

\(= x^{2 \times \frac13}\\\\\)

Using the law of exponent, \(a^{\frac1x} = \sqrt[x]{a}\), then we can write,

\(= \sqrt[3]{x^2}\)

Now, in the given expression 3 is an index, x² is the radicand and the symbol √ is known as the radical.

Hence, the index in the given expression x^(2/3) when rewritten as a radical expression is 3.

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The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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Step-by-step explanation:

The angle where the shadow ends is

\( \tan(x) = \frac{48}{60} \\ x = 38.66\)

The distance from the tree to the angle of end shadow equal (60-20)=40ft

So the tall of tree is

\( \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft\)

Answer:

255.5 minutes or 255 minutes and 30 seconds

Step-by-step explanation:

146 pages/ x minutes

20 pages/ 35 minutes

All you have to do is cross-multiply to find the answer.

146x35= 5110

5110/20=x

5110/20= 255.5

x= 255.5

The function g( x ) is translated to the left by 9 units and down by 5 units.

Given data ,

Let the first function be represented as f ( x )

where the value of f ( x ) = | x |

Let the translated function be g ( x )

where the value of g ( x ) = | x + 9 | - 5

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

On translating to the left , f ( x + a )

So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |

Now , when the function is translated 5 units down , f ( x ) - 5

So , the translated function is g ( x ) = | x + 9 | - 5

Hence , the function is translated to the left by 9 and up by 5 units.

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Answer:

Step-by-step explanation:

perp. -2

y + 6 = -2(x - 3)

y + 6 = -2x + 6

y = -2x

Answer:

negative 38

Step-by-step explanation:

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

144 meters

Step-by-step explanation:

24 * 6 is 144

Hope this helps:)

Answer:

144 meters

Step-by-step explanation:

24 meters x 6 meters = 144 meters

Answer:

Angle 6 = 70

Step-by-step explanation: Using vertical angles if you look across from angle 6 you would see the angle of 70 degrees which means they are equal because they're across from each other.