items produced by a certain company are subjected to two kind of defected D1 and D2. out of the total product 5% have the defect D1, 10% have the defect D2 and 2% have both defects. what is probablity that a randomly selected item has neither D1 or D2?
Answers
Answer:
the probability that a randomly selected item has neither D1 nor D2 is 87%.
Step-by-step explanation:
Let's use the formula for the probability of the complement event to calculate the probability that a randomly selected item has neither D1 nor D2:
P(neither D1 nor D2) = 1 - P(D1 or D2)
We know that 5% have D1, 10% have D2, and 2% have both defects. The probability of an item having D1 or D2 (or both) is:
P(D1 or D2) = P(D1) + P(D2) - P(D1 and D2)
where P(D1 and D2) represents the probability that an item has both D1 and D2, which is 2% in this case.
Substituting the given values, we get:
P(D1 or D2) = 5% + 10% - 2% = 13%
So the probability of an item having neither D1 nor D2 is:
P(neither D1 nor D2) = 1 - P(D1 or D2) = 1 - 13% = 87%
Therefore, the probability that a randomly selected item has neither D1 nor D2 is 87%.
Related Questions
At a diving competition, Allison scored 78.5 on her first dive. Hannah's score on her first dive was 74.65. How many more points did Allison score on her first dive than Hannah? Show your work.
Answers
Answer:
78.5-74.65=3.85
Step-by-step explanation:
Lightfoot Inc., a software development firm, has stock outstanding as follows: 20,000 shares of cumulative preferred 2% stock, $20 par, and 25,000 shares of $100 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $3,000; second year, $5,000; third year, $34,500; fourth year, $71,000.
Answers
The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.
To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.
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Find the length of side X in simple radical form with a rational denominator
Answers
The length of side X in simple radical form with a rational denominator is 25/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 5 × 5/√3
Hypotenuse, x = 25/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
repersent 3 and 1/3 on a number line
Answers
Answer:
Step-by-step explanation:
To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated beneath. By utilizing a similar system, point O addresses 0/3 and point An addresses 3/3.
Another way of saying it is:
In portrayals of divisions on a number line we can show parts on a number line. To address 1/2 on the number line, draw the number line and imprint a direct A toward address 1.
Presently, split the hole among O and An into halves. Leave T alone the mark of division. At that point, point T addresses 1/2.
Portrayals of Fractions on a Number Line
To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated underneath.
Portions on a Number Line
By utilizing a similar technique, point O addresses 0/3 and point An addresses 3/3
brainliest?
please, answer the questions :)) I’ll mark you as Brainliest
Answers
Answer: 46
Step-by-step explanation:
What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent
Answers
The coordinates of the midpoints of the given line segment is:
(3.5, 1.5)
How to find the midpoints of a line segment?The midpoint of a line segment is simply referred to as the center of that specific line segment.
Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.
The coordinates of the endpoints of the line are:
(4,6) and (3,-3)
The formula to find the coordinates of the midpoint of the line is:
(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Thus, we have:
(x, y) = (4 + 3)/2, (6 - 3)/2
= (3.5, 1.5)
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an academic department has just completed voting by secret ballot for a department head. the ballot box contains four slips with votes for candidate a and three slips with votes for candidate (a) List all possible outcomes. This answer has not been graded yet. (b) Suppose a running tally is kept as slips are removed.
Answers
Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)
What is probability?The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.
Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:
AAAA
AAAB
AABA
ABAA
BAAA
AABB
ABAB
BABA
BBAA
ABBB
BABB
BBAB
BBBA
(b)
For instance, the following results could occur if the slips were removed in the following order:
A (1 vote for contender A) (1 vote for candidate A)
AA (2 ballots for candidate A) (2 votes for candidate A)
AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)
AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)
AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)
AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)
AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)
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Below is the graph of f(x) = 3 log10^ x. How would you describe the graph of
g(x) = 9 log10^x?
A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
O
D. g(x) stretches f(x) vertically by a factor of 3
Answers
Answer:c
Step-by-step explanation:
Answer:D g(x) stretches f(x) vertically by a factor of 3.
Step-by-step explanation: ape3
A waterfall is n times the height of its picture on a postcard.
Which equation represents the height, y, of the waterfall if the
picture is 7 cm tall?
Answers
HELP
If 10% of x is 20, what is 23% of x?
Answers
Answer:
46
Step-by-step explanation:
Answer:
46
According to question,
10% × x = 20
x = 20 ÷ 10%
x = 20 ÷ 0.1
x = 200
Now find 23% of x
23% × 200
0.23 × 200
46
on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751
Answers
The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.
The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.
2. 7 x 6000 = 42,000.
To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.
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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.
In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.
Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.
2. 7 x 6000 = 42,000.
We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.
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what is the answer of solve the following equations and verify your answer
Answers
Answer:
Solution !!\( \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}\)
By cross multiplication :
\( \implies{\sf{ {3(p + 7)} = 1{(p - 6)} }}\)
\(\implies{\sf{3p + 27 = p - 6 }}\)
\(\implies{\sf{3p - p = - 6 - 21}}\)
\(\implies{\sf{2p = - 27}}\)
\(\implies{\sf{\underline{\underline{\red{p = \dfrac{ - 27}{2}}}}}}\)
Hence, the value of p is -27/2
\(\begin{gathered}\end{gathered}\)
Verification !!\( \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}\)
Substituting the value of (p = -27/2)
\( \implies{\sf{ \dfrac{ \dfrac{ - 27}{2} + 7}{ \dfrac{ - 27}{2} - 6} = \dfrac{1}{3}}}\)
\( \implies{\sf{ \dfrac{ \dfrac{ - 27 + 14}{2}}{ \dfrac{ - 27 - 12}{2} } = \dfrac{1}{3}}}\)
\( \implies{\sf{ \dfrac{ \dfrac{ - 13}{2}}{ \dfrac{ - 39}{2} } = \dfrac{1}{3}}}\)
\( \implies{\sf{ \dfrac{ - 13}{2} \times \dfrac{2}{ - 39} = \dfrac{1}{3}}}\)
\( \implies{\sf{ \dfrac{ - 13}{\cancel{2}} \times \dfrac{\cancel{2}}{ - 39} = \dfrac{1}{3}}}\)
\( \implies{\sf{ \dfrac{ - 13}{ - 39} = \dfrac{1}{3}}}\)
\( \implies{\sf{ \cancel{\dfrac{ - 13}{ - 39}} = \dfrac{1}{3}}}\)
\( \implies{\sf{ \dfrac{1}{3} = \dfrac{1}{3}}}\)
\(\implies{\sf{\underline{\underline{\red{LHS = RHS}}}}}\)
Hence Verified!
\(\underline{\rule{220pt}{3pt}}\)
NO LINKS!!
Andres graphed the inequality y< 4/3x + 7 and used (-3,3) to test for shading. Was this a good test point to choose? Explain why or why not. If not, list another and prove why it would be better?
Answers
Answer:
No, it is not a good test point to choose since it's on the boundary.
(0,0) is a better choice
See graph below.
=======================================================
Further Explanation:
The given point (-3,3) has x = -3 and y = 3 pair up together.
Plug those coordinates into the boundary line equation.
y = (4/3)*x + 7
3 = (4/3)*(-3) + 7
3 = -4 + 7
3 = 3
The fact we get a true statement at the end proves that (-3,3) is on the boundary line y = (-4/3)x+7
So the question is: which side of the boundary do we shade? The test point (-3,3) is literally on the fence, and it's indecisive on which side to pick. This is exactly why (-3,3) is a bad choice.
A better choice would be to use (0,0) since 0 is an easy number to work with and because the origin is not on the boundary line. See note below.
Let's plug x = 0 and y = 0 into the inequality.
y < (4/3)x + 7
0 < (4/3)*0 + 7
0 < 0 + 7
0 < 7
The last inequality is true, so (0,0) is in the shaded region. This means we shade everything below the dashed boundary line of y = (4/3)x+7 since (0,0) is below the boundary line.
The graph is shown below.
Side note: The origin is the first choice I'd go for as long as the origin point is not on the boundary. If it is on the boundary, then pick something else on the y axis such as (0,1) as a test point.
150°
102°
84°
2x
Find x.
Answers
Answer:
2 (1)*84=164
164-102=62
I need to show my work help me out
Answers
The distance of the flag pole from the end of the shadow is 23.32 feet.
How to find the side of a right triangle?A 20 foot flag pole is casting a shadow that is 12 feet long. Therefore, the distance of the top of the flag pole to the tip of the shadow can be calculated as follows:
The situation forms a right angle triangle.
Hence, using Pythagoras's theorem, we can find the distance.
Therefore,
c² = a² + b²
where
c = hypotenusea and b are the legsTherefore,
20² + 12² = c²
400 + 144 = c²
c = √544
c = 23.3238075794
Therefore,
distance of the flag pole to the end of the shadow = 23.32 feet
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Pleas help I give brainliest, its my final
Answers
In the diagram below of circle O, chords AD and BC intersect at E, and chords AB and CD are drawn.
Which statement must always be true?
PLEASE HELP!
Answers
The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.
What is a circle ?
A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.
In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.
Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:
\(\angle A + \angle C = 180^\circ\)
Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,
\(\angle B + \angle C = 180^\circ\)
We can rewrite the second equation as:
\(\angle C = 180^\circ - \angle B\)
Substituting this value of \angle C into the first equation, we get:
\(\angle A + 180^\circ - \angle B = 180^\circ\)
Simplifying, we get:
\(\angle A = \angle B\)
Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)
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The number of pizzas a restaurant can make varies directly with the amount of time the restaurant is open.
Answers
The two correct options for time and work problem are: (a) and (d)
(a) The restaurant can make 24 pizzas in 5 hours
(d) The restaurant can make 48 pizzas in 10 hours
What is time and work in mathematics?Time and work are fundamental to how work is done at the moment. The time and work problem gives us the exact relationship between workers and the number of days and hours it takes to complete a task.
Solution according to the question:
Given, the restaurant can make 12 pizzas in 2.5 hours
So, when we double the time of work, the number of pizzas will also be doubled, i.e
24(12×2) pizzas in 5(2.5 ×2), hence option (a) correct.
Also, 10 hours is four times of 2.5 hours.
Thus, in 10 hours the restaurant will make 48 pizzas, so option (d) is the other correct option.
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2a -a + 1 =
x + y + x + 2 =
2(x + 4) + 2x =
3x + 2(x - 2) =
Answers
Answer:
Step-by-step explanation:
Please, share the instructions that come with each problem. Thanks.
2a -a + 1 = can be simplified to a + 1.
x + y + x + 2 = cannot be simplified.
2(x + 4) + 2x =
3x + 2(x - 2) = can be expanded and then simplified:
3x + 2x - 4 = 5x - 4
Find the coordinates of the midpoint of segment LP with endpoints: L(4, 2) and P(0, 2)
Answers
Step-by-step explanation:
here,
midpoint of line segment LP
=( X1 +X2÷2 , Y1 + Y2÷ 2)
=(4+0÷2 , 2+2 ÷2)
=(4÷2 ,4÷2)
=(2,2)
Therefore the midpoint of segment LP with L (4,2) and P (0,2) = (2 ,2).
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. Which should she do first?
She can use the associative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the associative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Answers
Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.
The number expression is:
= (70 + 12.8 + 30) + 6.1
As we know from the commutative property
a + b = b + a
Applying commutative property in the number expression:
= (70 + 30+ 12.8) + 6.1
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
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During the first half of a basketball game, a team made 50% of their 40 field goal attempts. During the
second half, they scored on only 40% of 30 attempts from the field. What was their field goal shooting
percentage for the entire game?
Answers
The answer maybe 5%
PLEASE HELPP ASAPPP pleaseeeee
Answers
answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.
You might need: CalculatorZA=Round your answer to the nearest hundredth.СоMY?ProPro6TeaB4
Answers
∠A = 41.81°
Explanation:To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:
opposite = side opposite the angle = 4
hypotenuse = 6
adjacent = base = AC = ?
Since we have been given the opposite and the hypotenuse, we would use the sine ratio:
Sin A = opposite/hypotenuse
Sin A = 4/6
sin A = 0.6667
\(A=sin^{-1}(0.6667)\)A = 41.8129 degrees
To the nearest hundredth, ∠A = 41.81°
What is the solution to -4(8-3x) ≥ 6x - 8?
O
4
x²--1/32
O x≤
xs--1/72
Ox≥4
Ox≤4
Answers
Answer:
x ≥ 4
Step-by-step explanation:
-4 ( 8 - 3x ) ≥ 6x - 8
First, solve the brackets.
- 32 + 12x ≥ 6x - 8
Subtract 6x from both sides.
- 32 + 12x - 6x ≥ - 8
- 32 + 6x ≥ - 8
Add 32 to both sides.
6x ≥ - 8 + 32
6x ≥ 24
Divide 6 by both sides.
x ≥ 4
1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1
Answers
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.
In this polynomial, we have:
Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)
Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)
Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)
Term 4: -1 (This is a constant term with a degree of 0.)
We can see that there are four distinct terms separated by addition and subtraction operations:
18x³, -2x², 4x, and -1.
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Work out the volume of the prism height of 12 4 and five
Answers
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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Find the volume of each solid. Round to the nearest tenth if necessary.. PLEASE HELP I WILL MAKE YOU BRAINLIEST IF YOU ANSWER THE CORRECT ANSWER AND GIVE A DESCRIPTION!!!
Answers
Answer:
half of 20 is 1010
Step-by-step explanation:
half of 20 is 1010 is your new radius so10^2 = 100100 x 3.14 = 314Now we multiply by the height:314 x 11 = 3,454 cm^3
I’m not very good at math, anyone can answe this plz and thanks
Answers
Answer:
B
Step-by-step explanation:
Answer:
If it is asking for the total of both then it should be 6 1/4
Step-by-step explanation:
I added 4 3/4 and 1 1/2
If In(y - 40) = 5x, then y =
(a)
\( {e}^{5x} + 40\)
(b)
\( {e}^{5x} - 40\)
(c)
\(5 ({e}^{x} + 40)\)
(d)
\(5 {e}^{x} - 40\)
(e)none
Answers
If \(\ln(y-40)=5x\) then \(y=e^{5x}+40\).
Hope this helps.
Answer:
a e^(5x) +40
Step-by-step explanation:
In(y - 40) = 5x
Raise each side to base e
e^In(y - 40) = e^5x
y - 40 = e^5x
Add 40 to each side
y - 40 +40 = e^5x+40