Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places.
Answers
The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5
Given that
[tex]H_o:P= 0.50\\\\H_1:P>0.50[/tex]
Now following calculations to be done to reach the conclusion:
There is no false positive as
= 100 - 5.5
= 94.5%
[tex]\hat P =0.945, n = 12[/tex]
Now
[tex]z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} } \\\\= 3.08[/tex]
So
P value = P(z >3.08) = 0.0010
Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5
Learn more about the polygraph test here:
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Related Questions
Help please anyone please
Answers
Welp....there's your answer
How many five-digit odd numbers can be formed from the digits 1, 2, 3, 4,and 5 if no digit is repeated?
Answers
Answer:
10
Step-by-step explanation:
the answer is 10 because there are only two odd numbers in here and the best. Even so when you put that in two digit odd number then it'll just be interchangeable those four numbers that aren't at the end of
Answer:
72
Step-by-step explanation:
For a five-digit number to be odd it's one digit must be 1,3,5.
So there can be no repeats of any digits.
Let's look at numbers with one's digit being 1.
There are 4 ways to choose the tabs digit.
After that you can choose the hundreds digit 3 ways.
The thousands digit can then be chosen 2 ways.
Then finally the ten-thousands digit can be chosen 1 way.
4×3×2×1=24
24 odd numbers with one's digit being 1 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
That means there are 24 odd numbers with one's digit being 3 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
Also means there are 24 odd numbers with one's digit being 5 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
3(24)=72
2. If (x+1,Y+2)=(3,4), find the value of x and y
Answers
Answer:
x = 2
y = 2
Step-by-step explanation:
since it is an equal pair,
x+1 = 3
or, x = 3 - 1
x = 2
y + 2 = 4
or, y = 4 - 2
y = 2
so i have this problem for my credit recovery can anyone please help me Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month.
Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars.
Answers
Answer:
scatter plots are simply putting the data as a dot where it belongs based on in the situation the x-axis being balance in thousands and y axis for the change in savings account in hundreds.
Step-by-step explanation:
place a dot where each value given for each person x,y. it will look scattered.
just took the k12 test
what is the perimeter
A) 20.3
B)18.3
C)24.3
D)22.3
Answers
Answer:
b
Step-by-step explanation:
cuz u add them all
Find the missing side length in the image below
Answers
Answer:
Step-by-step explanation:
What is 4,327 rounded to the nearest thousand?
Answers
Answer: 4,000
Step-by-step explanation: To round 4,327 to the nearest thousand, we first find the digit in the rounding place, which in this case is the 4 in the thousands place. Next, we look at the digit to the right of the 4, which is 3.
According to the rules of rounding, since the digit to
the right of the rounding place is less than 5, we round down.
So the 4 in the rounding place stays the same
and all digits to the right of the 4 become 0.
So 4,327 rounded to the nearest thousand is 4,000.
Let $G$ be the center of equilateral triangle $XYZ.$ A dilation centered at $G$ with scale factor $-\frac{4}{3}$ is applied to triangle $XYZ,$ to obtain triangle $X'Y'Z'.$ Let $A$ be the area of the region that is contained in both triangles $XYZ$ and $X'Y'Z'.$ Find $\frac{A}{[XYZ]}.$
Answers
The area divided by XYZ is 16/9
i.e. [tex]\frac{A}{[XYZ]} = \frac{16}{9}[/tex]
The given parameters can be represented as:
[tex]r = -\frac{4}{3}[/tex] --- the ratio of dilation
The area of the second triangle is as follows:
[tex]A =r^2 * \triangle XYZ[/tex]
Make [tex]r^2[/tex] as subject
[tex]r^2 = \frac{A}{\triangle XYZ}[/tex]
Substitute value for [tex]r^2[/tex]
[tex](\frac{4}{3})^2 = \frac{A}{\triangle XYZ}[/tex]
[tex]\frac{16}{9} = \frac{A}{\triangle XYZ}[/tex]
Rewrite as:
[tex]\frac{A}{\triangle XYZ} = \frac{16}{9}[/tex]
Read more at:
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Answer:
Step-by-step explanation:
Let each side of triangle XYZ have length s. We therefore have:
s = YZ = YQ + QR + RZ = x + 2y
Since each side of triangle X1 Y2 Z2 is 3/4 the length of the corresponding side of triangle XYZ, we have:
3/4s = X1 Z1 = X1 Q + QP + P Z1 = 2x +y.
The system of equations:
x + 2y = s
2x + y = 3/4s
Multiply the second equation by 2, then subtract the first equation.
3x = 1/2s, so x = 1/6s.
Now we have y = 3/4s-2x = 5/12s.
A/[XYZ] = [XYZ] - 3[YPQ]/[XYZ]
= {[XYZ] - 3[(25)/144] * [XYZ]} / [XYZ]
={23/48* [XYZ]} / [XYZ]
= 23/48
Express as -80/112 as a rational: numerator = -5
Answers
Answer:
-80\112 = -5\7
we divided both numbers by 16
If V=πh²(r-h\3) make r subject of formula
Answers
Making r the subject of formula, we have; [tex]r = \frac{V}{\pi h^{2} } \; + \;\frac{h}{3}[/tex]
In Mathematics, making a variable the subject of formula simply means making the particular variable to be equal to all the other variable contained in an algebraic expression or mathematical equation. Thus, the subject of a formula is typically on the left-hand side of a mathematical equation while the other variables on the right-side.
Given the mathematical expression;
[tex]V = \pi h^{2}(r \; - \;\frac{h}{3} )[/tex]
To make "r" subject of formula;
First of all, we would divide both sides by [tex]\pi h^{2}[/tex]
[tex]\frac{V}{\pi h^{2} } = r \; - \;\frac{h}{3}[/tex]
Next, we would rearrange the equation;
[tex]r = \frac{V}{\pi h^{2} } \; + \;\frac{h}{3}[/tex]
For more on subject of formula visit: https://brainly.com/question/17148850
How do radical expressions relate to everyday life , give atleast 3 examples !!!!!
Answers
1) Architecture
2) Carpentry
3) Masonry
it is used to calculate formulas such as home inflation
Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his
hourly salary to be at least $35.
Answers
The inequality that relates the number of hours to the weekly sales is:
[tex]450 + 0.20x \ge 35y[/tex]
The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales
We make use of the following representation:
[tex]x \to[/tex] weekly sales from cars.
[tex]y \to[/tex] hours worked in a week
His weekly salary is then calculated as:
Salary (S) = Earnings per week + Commission * Sales from car
So, we have:
[tex]S = 450 + 20\% * x[/tex]
Express percentage as decimal
[tex]S = 450 + 0.20* x[/tex]
[tex]S = 450 + 0.20x[/tex]
Assume he works for y hours in a week.
His hourly rate is:
[tex]Hourly = \frac{S}{y}[/tex] --- i.e. weekly salary divided by number of hours
[tex]Hourly = \frac{450 + 0.20x}{y}[/tex]
For this rate to be at least [tex]\$35[/tex], the following condition must be true
[tex]Hourly \ge 35[/tex] --- i.e. is hourly rate must be greater than or equal 35
So, we have:
[tex]\frac{450 + 0.20x}{y} \ge 35[/tex]
Multiply both sides by y
[tex]450 + 0.20x \ge 35y[/tex]
Learn more about inequality:
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Cedric and Insha solved the same equation using the calculations below.
Cedric’s Work
Insha’s Work
z minus 4.5 = negative 1.5. z minus 4.5 + 4.5 = negative 1.5 + 4.5. z = 3.
z minus 4.5 = negative 1.5. z minus 4.5 + (negative 4.5) = negative 1.5 + (negative 4.5). z = negative 6.
Which statement is true about their work?
Answers
The first working out is correct, z = 3
Which linear equation fits this line?
a. O2 y - x = 2
b. O2 y = 2 + x
C. O2 y + x = 2
Answers
Answer:
c
Step-by-step explanation:
8x+4=3(x-1) +7 solve
Answers
Answer:
x = 0
Step-by-step explanation:
8x + 4 = 3(x − 1) + 7
Simplify both sides of the equation:
8x + 4 = (3)(x)+ (3)(−1) + 7
8x + 4 = 3x + (−3) +7
Combine like terms:
8x + 4 = (3x) + (−3+7)
8x + 4 = 3x + 4
Subtract 3x from both sides:
8x + 4 − 3x = 3x + 4 − 3x
5x + 4 = 4
Subtract 4 from both sides:
5x + 4 − 4 = 4 − 4
5x =0
Divide both sides by 5:
5x/5 = 0/5
x = 0
What is the volume of the solid? Let π=3.14
Answers
Answer:
V = 7234.56 km^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (12)^3
V = 7234.56 km^3
Answer:
7234, 56 km³
Step-by-step explanation:
π×R³×4/3=3.14×1728×4/3=7234, 56 km³
find the least number in which when divided by 8 20 and 24 leave remainder 2 in each case.
Answers
Answer:
Solution: Factors of
8 = 2x2x2
12 = 2x2x3
18 = 2x3x3
24 = 2x2x2x3
LCM = 2x2x2x3x3 = 72
Add 5 to 72 to get 77 as the answer
how do i find perimeter and area of this triangle?
Answers
Answer:
u should use a ruler and multiplied
Step-by-step explanation:
I dont know the step by step sorry
Find the coordinates of the midpoint for the pair of points below a) (2,5) , (8,9) b) (9,1) , (5,17)
Answers
Answer:
a) (5,7) b) (7,9)
Step-by-step explanation:
Use the formula xmidpoint= (x1+x2)/2 ymidpoint= (y1+y2)/2
a) xm= (2+8)/2=5
ym=(5+9)/2=7
b) xm=(9+5)/2=7
ym=(1+17)/2=9
PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?
Answers
Answer:
D
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = - 3 , then
[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D
BRAINLIET TO THE FIRST.....AND PLZZ HURRY.....
What is the volume of the oblique cone? Round to the nearest tenth.
Answers
Formula for the volume of a cone: V = 1/3 x pi x r^2 x h
Since this is a right cone, the height is given as 8.5 and the radius is 4.
V = 1/3 x pi x 4^2 x 8.5
V = 1/3 x pi x 16 x 8.5
V = 1/3 x pi x 136
V = 45 1/3 pi
V = 142.4 cubic units
Hope this helps!
Answer:
142.4 units^3
Step-by-step explanation:
We use the same formula for volume as for a cone
V = 1/3 pi r^2 h
V = 1/3 pi (4)^2 ( 8.5)
= 1/3 pi (16)(8.5)
Letting pi = 3.14
=142.34666667
Rounding to the nearest tenth
= 142.4
I’m very confused abt this question: Look at the pic for clarification.
Answers
Answer:
8A
Step-by-step explanation:
We are multiplying the matrix by a scalar
Each term in the first matrix is multiplied by 2
[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]
Factor out 2
[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]
We know that the determinant of a matrix when multiplied by a scalar is found by
det ( a A) =a^n * det (A)
The scalar in this case is 2 and n is the number of rows ( or columns) since the matrix must be square
det (2A) = 2^3 det(A) = 8A
Answer:
(A)
Step-by-step explanation:
Factor the 2 out and do 2/1=x/A
X=2A
In circle C, SQ = 10 cm.
Circle C is shown. Chords S Q and R P intersect at point C. Angle P C Q is 30 degrees.
Which statements about the circle are correct? Check all that apply.
Arc PQ is congruent to arc SR.
The measure of arc QR is 150°.
The circumference of circle C is 20π cm.
Arc PS measures about 13.1 cm.
Arc QS measures about 15.7 cm.
Answers
Answer:
its 1,2,4,5
Step-by-step explanation:
Answer:
A, B, D, E
Step-by-step explanation:
Arc PQ is congruent to arc SR. TRUE
The measure of arc QR is 150°. TRUE
The circumference of circle C is 20π cm. FALSE
Arc PS measures about 13.1 cm. TRUE
Arc QS measures about 15.7 cm. TRUE
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 7 seconds to complete the check-out process. If it takes 32 seconds to complete a transaction, how many products are being purchased?
Answers
32 - 7 = 25/5 = 5
so, we have 5 products being purchased, since the 7 sec check-out doesn't count as product time.
hope it helps :)
Answer:
5 items
Step-by-step explanation:
32 - 7 = 25
25 / 5 = 5
This means that 5 items are being purchased.
Hope it helps c:
The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 49 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon. Construct a 89% confidence interval for the mean gas mileage for this car model.
Answers
Answer:
The answer is "(27.030,29.770)"
Step-by-step explanation:
[tex](\bar{x}) = 28.4[/tex]
[tex](n)= 49[/tex]
[tex](\sigma) = 6[/tex]
[tex](CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}[/tex]
[tex]z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})[/tex]
[tex]CI = 28.4 \pm 1.598 \times \frac{6}{\sqrt{49}}=(27.030,29.770)[/tex]
Which number best represents the slope of the graphed line?
A. -5
B. -1/5
C. 1/5
D. 5
Answers
Answer:
A. -5
Step-by-step explanation:
First of all this is a line that shows a negative slope.
Secondly, the formula for slope is rise/ run.
5 is your rise and 1 is your run, therefore: -5/1
And this can be reduced to : -5
Evaluate 1/243 ( base must be 1/9)
PLEASE I NEED THIS FAST!
Answers
Answer:
(1/9)^2 x 1/3
Step-by-step explanation:
1/243
=> 1 / 3 x 3 x 3 x 3 x 3
=> 1 / 9 x 9 x 3
=> (1/9)^2 x 1/3
PLEASE HURRY
1 Your dad asks you to go to the grocery store and buy at least 3 pounds of grapes. Write an inequality for this scenario.
Answers
Answer:
X ≥ 3
Step-by-step explanation:
Let the number of grapes you'll buy be X, you need to buy at leaF 3 pounds so:
X ≥ 3
Answered by Gauthmath
insert 3 rational no. between 4/13 and 1/13
Answers
Answer:
2/13,3/13,4/13....
hope it helps
Answer:
Step-by-step explanation:
4/13=40/130
1/13=10/130
numbers between 10/130 and 40/130 are 11/130,12/130,13,130 ,...,39/130.
we can select any three out of these.
PLEASER HELP WILL GIVE BRAINLIEST!
Answers
Answer:
$250
Step-by-step explanation:
the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250
