two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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please help guys, i’m so lost aaahhhh
Consider a geometric sequence with a first term of 4 and a fourth term of -2,916.
a. find the common ratio of this sequence.
b. find the sum to infinity of this sequence
Answer:
Step-by-step explanation:
4r³=-2916
r³=-729
r=-9
b)s=\(\frac{4}{1+9}\)
=\(\frac{4}{10}\)
=\(\frac{2}{5}\)
Which angle corresponds to angle a?
Consider polynomial function f.
dropdown 1 (3,2,1)
dropdown 2(3,2,1)
dropdown 3 (-1 only, 1 only,-3 and 1 only,-3 -1 and 1, 3 only)
Answer:
It is 2
Step-by-step explanation:
A cylinder and the Sphere below have the same radius and the same volume. What is the height of the cylinder
Answer:
8 m
Step-by-step explanation:
Volume of a sphere is V = 4/3 π r³.
Volume of a cylinder is V = π r² h.
The two volumes are equal, so:
4/3 π r³ = π r² h
4/3 r = h
The radius is 6 m, so the height of the cylinder is:
h = 4/3 (6 m)
h = 8 m
Answer:
The height of the cylinder is 8m.
Step-by-step explanation:
Given, the Radius and Volume of the cylinder and sphere are equal.
Radius, r = 6m
Formula,
Volume of the sphere = \(\frac{4}{3}\pi r^{3}\)
Volume of the cylinder = \(\pi r^{2}h\)
⇒ Volume of the cyliner = Volume of Sphere
⇒ \(\frac{4}{3}\pi r^{3}\) = \(\pi r^{2}h\)
⇒ \(h = \frac{4\pi r^{3} }{3\pi r^{2} }\)
⇒ \(h = \frac{4r}{3}\)
⇒ \(h = \frac{4 * 6}{3}\)
⇒ h = 8m
which point is on both lines
Answer:
Step-by-step explanation: D is on both lines because it is on a vertex
Answer:
Point D
Step-by-step explanation:
It is the vertex of both angles, the middle of both lines
A map has a scale of 1 inch : 3 miles.
How far are two airports apart if they are 6 inches apart on the map?
Mrs. Owen is teaching a 5th grade
class. She is standing 15 feet in front
of Lexi. Tony is sitting 8 feet to Lexi's
right. How far apart are Mrs. Owen and
Tony?
feet
Answer:
17 feet
Step-by-step explanation:
We have to use the pythagorean theorem, this is actually a bit more complicated than it seems at a first glance.
If Tony is 8 feet to Lexi's right, then we can form a triangle as such
I can't paste it (sorry)
but we can use the formula a^2+b^2=c^2, so 15^2=225, and 8^2=64, and 225+64=289, and \(\sqrt289=17\)
so they're 17 feet apart!
what is a type ii error? rejecting a false null hypothesis accepting a false alternate hypothesis rejecting a false alternate hypothesis failing to reject a false null hypothesis
A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.
In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.
Types of errors in hypothesis testing
There are two types of errors in hypothesis testing:
Type I error: Rejecting a true null hypothesis
Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.
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[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
[Romeo:] But, soft! What light through yonder window breaks?
It is the east, and Juliet is the sun!
Arise, fair sun, and kill the envious moon,
Who is already sick and pale with grief,
That thou her maid art far more fair than she
—Romeo and Juliet,
William Shakespeare
What do these lines of the soliloquy show?
Which words best describe the mood of these lines?
Consider the polygon below.
What is the sum, in degrees, of the measures of the interior angles of the polygon?
if we look at the polygon above, hmmm is a Heptagon, or namely it has 7 sides so
\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=7 \end{cases}\implies S=180(7-2)\implies S=900\)
Match the terms of this geometric sequence with their term numbers. 5, 10, 20, 40, 80, 160, ...
Boxes: [12th term] [nth term] [2nd term] [4th term] [(n-1)th term] [6th term]
Terms to be put in boxes: 5*2^4-1, 5*2^2-1, 5*2^12-1, 5*2^n-2, 5*2^6-1
Answer:
12th term: \(a_{12}=5\times 2^{12-1}\)
nth term: \(a_n=5\times 2^{n-1}\)
2nd term: \(a_{2}=5\times 2^{2-1}\)
4th term: \(a_{4}=5\times 2^{4-1}\)
(n-1)th term: \(a_{n-1}=5\times 2^{n-2}\)
6th term: \(a_{6}=5\times 2^{6-1}\)
Step-by-step explanation:
The first term of GP, a = 5
Common ratio, r = 2
Formula for \(n^{th}\) term of a GP, \(a_n=ar^{n-1}\).
Putting the values of a and r. So, \(n^{th}\) term is:
\(a_n=5\times 2^{n-1} ...... (1)\)
\(12^{th}\) term is:
Put n = 12 in (1):
\(a_{12}=5\times 2^{12-1}\)
2nd term is : (Put n = 2 in (1))
\(a_{2}=5\times 2^{2-1}\)
4th term is: (Put n = 4 in (1))
\(a_{4}=5\times 2^{4-1}\)
(n-1)th term is, put value of n as (n-1) in equation 1:
\(a_{n-1}=5\times 2^{n-1-1}\\a_{n-1}=5\times 2^{n-2}\)
6th term is: (Put n = 6 in (1))
\(a_{6}=5\times 2^{6-1}\)
I need some help pretty please
Answer:
y=x-12x (times -12x or -12x)
Step-by-step explanation:
you can notice that if you do -1 x -12 you get 12
0 x -12 is 0
1 x -12 is 12 and so on
What is the equation of the line that passes through the point ( -1, 1) and is perpendicular to 2x + 4y = 16?
A. y = −2x − 1
B. y − 3 = 2x
C. y = 6x + 7
D. Cannot be determined
Answer:
B
Step-by-step explanation:
We want the equation of the line that passes through the point (-1, 1) and is perpendicular to:
\(2x +4y=16\)
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
So, let's find the slope of the original line first. We can do so by converting it to slope-intercept form. Thus:
\(4y=-2x+16\)
Therefore:
\(\displaystyle y=-\frac{1}{2}x+4\)
The slope is -1/2.
The negative reciprocal of -1/2 is 2.
Thus, the slope of our new line is 2.
The slope is 2 and it passes through the point (-1, 1).
We can use the point-slope form:
\(y-y_1=m(x-x_1)\)
Substitute:
\(y-(1)=2(x-(-1))\)
Distribute:
\(y-1=2x+2\)
Subtracting 2 from both sides yields:
\(y-3=2x\)
Therefore, our answer is B.
What is the slope of a line that is perpendicular to the line 2y – 3x = 8
Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -3x=8
Add 3x to each side
2y-3x+3x= 8+3x
2y = 3x+8
Divide by 2
2y/2 = 3/2x +8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4
Pure and mixed spin states Use the following information for Questions 1-7: Consider an electron in a pure spin state composed of an equal superposition of ∣sx+⟩ and ∣sy+⟩. That is, the spin state can be expressed as ∣χ⟩=a(∣sx+⟩+∣sy+⟩) where ∣sx+⟩ and ∣sy+⟩ are the eigenstates of S^x and S^y operators with eigenvalues +2ℏ, respectively. Pure and mixed spin states For the state defined in Question 1, find the expectation value for the x-component of spin, ⟨S^x⟩. This represents the average value you will obtain when measuring x-component of spin many times. Express your answer in terms of imaginary unit i, constant pi and reduced Planck's constant, hbar. Note that your answer does not have to include all of these variables.
Given that the electron is in a pure spin state represented by the superposition ∣χ⟩ = a(∣sx+⟩ + ∣sy+⟩), where ∣sx+⟩ and ∣sy+⟩ are eigenstates of the Sx and Sy operators with eigenvalues +2ℏ, respectively, we can calculate the expectation value for the x-component of spin, ⟨Sx⟩.
Using the expression ⟨Sx⟩ = ⟨χ∣Sx∣χ⟩, we expand the equation as follows:
⟨Sx⟩ = |a|²⟨sx+∣Sx∣sx+⟩ + a∗a⟨sx+∣Sx∣sy+⟩ + aa∗⟨sy+∣Sx∣sx+⟩ + |a|²⟨sy+∣Sx∣sy+⟩
Since ⟨sx+∣Sx∣sx+⟩ = Sx and ⟨sy+∣Sx∣sy+⟩ = Sx, the equation simplifies to:
⟨Sx⟩ = 2|a|²Sx + a∗a⟨sx+∣Sx∣sy+⟩ + aa∗⟨sy+∣Sx∣sx+⟩ + |a|²Sx
Now, we observe that ⟨sx+∣Sy∣sy+⟩ = 0 because the eigenstates ∣sx+⟩ and ∣sy+⟩ have different eigenvalues for the Sy operator. Therefore, the middle two terms cancel each other out, leaving:
⟨Sx⟩ = 2|a|²Sx
Since the expectation value ⟨Sx⟩ is given as iπℏ/2, we equate it to the above expression:
iπℏ/2 = 2|a|²Sx
Simplifying, we find:
|a|² = iπℏ/4Sx
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please help with any of the 3!
Step-by-step explanation:
(look at the picture)
\(a)\\A_{\boxed{\ }}=a\cdot b;\ a=9;\ b=8\\\\A_{\boxed{\ }}=9\cdot8=72\\\\A_\triangle=\dfrac{a\cdot h}{2};\ a=3;\ h=4\\\\A_\triangle=\dfrac{3\cdot4}{2}=\dfrac{12}{2}=6\\\\\huge\boxed{A=72-6=66}\)
\(b)\\A_{\boxed{\ }}=a\cdot b;\ a=15,\ b=5\sqrt3\\\\A_{\boxed{\ }}=15\cdot5\sqrt3=75\sqrt3\\\\A_\triangle=\dfrac{a\cdot h}{2};\ a=5;\ b=5\sqrt3\\\\A_\triangle=\dfrac{5\cdot5\sqrt3}{2}=\dfrac{25\sqrt3}{2}=12.5\sqrt3\\\\\huge\boxed{A=75\sqrt3-12.5\sqrt3=62.5\sqrt3}\)
\(c)\\A_{\boxed{\ }}=a\cdot b;\ a=3\sqrt2;\ b=3\\\\A_{\boxed{\ }}=3\sqrt2\cdot3=9\sqrt2\\\\A_\triangle=\dfrac{a\cdot h}{2};\ a=3;\ h=3\\\\A_\triangle=\dfrac{3\cdot3}{2}=\dfrac{9}{2}=4.5\\\\\huge{\boxed{A=9\sqrt2-4.5}}\)
the following table shows the probability distribution for the prize amounts that will be awarded at a school raffle. prize $1 $5 $10 $20 $50 probability 0.60 0.30 0.05 0.04 0.01 let the random variable p represent a randomly selected prize amount. what is the expected value of p ? responses
Let the random variable p represent a randomly selected prize amount the expected value of p is $3.90 by using probability.
Prize $1 $5 $10 $20 $50
Probability 0.60 0.30 0.05 0.04 0.01
It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.
The expected value is defined as the the sum of each outcome is multiplied by its probability.
p=x1p1+x2p2+x3p3+x4p4
p=1.0.60+5.0.30+10.0.05+20.0.04
p=3.90
Therefore, the correct option is A, i.e. $ 3.90 is the expected value of P.
Three Types of Probability
Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).
Relative Frequency Definition.
Subjective Probability.
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The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches
Answer:
1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation
The dot plot below represents how long it takes students in an 8th grade math class to get to school every morning.
What was the most common commute time?
[__] minutes
The most common commute time from the dot plot is 45 minutes
Calculating the most common commute time?From the question, we have the following parameters that can be used in our computation:
The dot plot
The dot plot shows how long it takes students in students to get to school every morning.
The most common commute time is the time that highest frequency
In this case, the highest number of dots
From the graph, we have
Highest number of dots = 5 at 45 minutes
Hence, the most common commute time is 45 minutes
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4x2 - 5x + 9 = 0
How many solutions does this problem have please help
Answer: x=17/5
Step-by-step explanation:
Find the length of RX. PLEASE HELP ASAP!
A.7.96
B.76.11
C.76.53
Answer:
B
Step-by-step explanation:
We want to find RX.
Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.
Thus, we can use the tangent ratio. Recall that:
\(\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}\)
Substitute:
\(\displaystyle \tan6^\circ = \frac{8}{RX}\)
Take the reciprocal of both sides:
\(\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}\)
Multiply both sides by 8:
\(\displaystyle RX = \frac{8}{\tan6^\circ}\)
Use a calculator (make sure you're in Degrees mode!):
\(\displaystyle RX\approx 76.1149\)
Hence, our answer is B.
The function f(x) is given by the set of ordered pairs.
{(8, –3), (0, 4), (1, –5), (2, –1), (–6, 10)}
Which is true regarding the function?
What is one example of change in the passage. ??
A. Japan has continued to exist as an independent country for thousands of years
B. The United States forced japan to strip its emperors of significant
C. Japan’s emperors has wielded only ceremonial power from the end of World War II until today
D. The Japanese imperial system began thousands of years ago and still exist today
The correct answer is B. The passage states that "The United States forced Japan to strip its emperors of significant power after World War II." This is a clear example of a change in the role of the Japanese emperors.
Add. 5c2c+7+c−282c+7
Answer:
Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)
Step-by-step explanation:
Let's simplify step-by-step.
5c2c+7+c−282c+7
=5c3+7+c+−282c+7
Combine Like Terms:
=5c3+7+c+−282c+7
=(5c3)+(c+−282c)+(7+7)
=5c3+−281c+14
Answer:
=5c3−281c+14
Hope this helped!
(I hope this is what u asked for :)
the mean weight of an adult is 75 kilograms with a variance of 144. if 103 adults are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 2.9 kilograms? round your answer to four decimal places.
The probability that the mean is going to have to differ from the mean of this population by more than 2.9 kg is given as 0.0142
How to solve for the probabilityWe have the following values to solve the problem with
mean = 75
σ² = 144
σ = 12
n = 103
the probability that is required can be gotten by getting the following interval
= 75 - 2.9 and 75 + 2.9
= 1 - P (72.1 <x< 77.9)
Then we would have for the lower limit
\(\frac{72.1 -75}{12/\sqrt{103} }\)
= -2.45
For the upper limit we would have
\(\frac{77.9 -75}{12/\sqrt{103} }\)
= 2.45
we would have
1 - P(-2.45 < z < 2.45)
using the standard normal table we would have
z < 2.45 = 0.9929
z < -2.45 = 0.0071
Then the probability would be 1 - (0.9929 - 0.0071)
= 1 - 0.9858
= 0.0142
Therefore the probability that the sample mean would differ by 2.9 kg is given as 0.0142 or 1.42%
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5. Which number is the square of 5√2-1? A. 23 - 5√2 B. 15√2-2 C. 51 - 10/2 D. 20√2-5 E. 100 + 4√2
Answer:
C. 51 -10√2
Step-by-step explanation:
You want the square of 5√2 -1.
SquareThe square of 5√2 -1 can be found using the distributive property.
\((5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}\)
a man earns rs4300 per month. He spends 80percent from his income . How much amount does he save in a year.
Answer:
calcolateľ imc di una persona di 28 anni che peso 90kg e che è 1,55m
Answer:
savings = 10320
Step-by-step explanation:
First, find the percentage of income used.
80% 4300
80 x 4300 = 344000
344000/ 100 = 3440
80% 4300 = 3440
Next, multiply the solution and income by 12.
3440(12) = 41280
4300(12) = 51600
Subtract these two numbers.
51600 - 41280 = 10320
HELP I DONT GET THIS AT ALL ILL GIVE BRAINLIST
the outer loop in each of the three sorting algorithms is responsible for ensuring the number of passes required are completed.
true or false
True, the outer loop in each of the three sorting algorithms (e.g., Bubble Sort, Selection Sort, Insertion Sort) is responsible for ensuring the number of passes required are completed. It iterates through the entire list to make sure the sorting process is executed correctly.
An algorithm is a standard formula or set of instructions that has a finite number of steps or instructions for using a computer to solve a problem.
The time complexity is a measurement of how long an algorithm takes to run until it completes the task in relation to the size of the input.
Flowcharts can be used to illustrate algorithms, an algorithm for a process or workflow can be graphically represented in a flowchart.
Therefore, an algorithm is a collection of guidelines for resolving a dilemma or carrying out a task.
learn more about algorithms
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