25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. The probability is it that the shipment will be accepted is 0.7323.
Given that,
An organization utilizes the following acceptance sampling strategy for ordering shipments of 600 machine parts: 25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. This specific component is known to have a 4% fault rate.
We have to find how probability is it that the shipment will be accepted.
By binomial we get,
Binomial Problem:
n = 25 ; p = 0.04
P(0<= p <= 2)
= 0.7323
Therefore, The probability is it that the shipment will be accepted is 0.7323.
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Hi can i get help with this precal question please
Using a piecewise function, it is found that:
a. The rule is:
C(w) = 0.75w, 0 ≤ w ≤ 50.C(w) = 0.35w + 10, 51 ≤ w ≤ 75.C(w) = 0.2w + 7, w > 75.b. C(75) = 36.25.
c. C(100) = 27.
d. A practical domain for the function is integer values of w ≥ 0
e. A practical range the function is C(w) ≥ 0.
What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
For 0 to 50 wristbands, which is the first definition of the function, the cost is of $0.75 per each wristband, hence the definition is:
C(w) = 0.75w, 0 ≤ w ≤ 50.
From 51 to 75 wristbands, which is the second defition of the function, the cost is of $0.35 per each wristband plus the $10 shipping fee, hence:
C(w) = 0.35w + 10, 51 ≤ w ≤ 75.
For more than 75 wristbands, which is the third definition of the function, the cost is of $0.2 per wristband plus the $7 shipping fee, hence:
C(w) = 0.2w + 7, w > 75.
The numeric values are as follows:
C(75) = 0.35 x 75 + 10 = 36.25.C(100) = 0.2(100) + 7 = 27.The domain and the range of the function are as follows:
Domain -> input values -> number of wristbands, which is a countable amount, hence integer numbers of 0 or greater.Range -> Output values -> cost of purchasing w wristbands, real values greater than 0.More can be learned about piecewise functions at https://brainly.com/question/19358926
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A television normally
costs $1,420. Due to
a store sale, the
television is now $994.
What was the
percentage taken off
the television?
A 30% percentage of the total price was taken off the TV.
What is the percentage?By dividing the value by the total value and multiplying the result by 100, one can determine the percentage. The percentage calculation formula is (value/total value)100%. A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.So, the percentage is taken off from TV:
$1,420 - $994 = $426
Formula: (original price - decreased price)/original price × 100
Now, substitute values as follows:
(1420 - 994)/1420 × 100994/1420 × 1000.7 × 10070%Now, 100% - 70% = 30%
Therefore, a 30% percentage of the total price was taken off the TV.
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I need help please(˘･_･˘)
Answer:
with?
Step-by-step explanation:
Allie and Roman are trying to graph the blue line shown on the left. Only one of them has a correct answer.
Allie entered this equation: y=2x−8
Roman entered this equation: y=8−2x
Who is correct?
Answer:
3x
Step-by-step explanation:
b
2x - 15
3x + 5
Line a || Line b.
Use the diagram to write an equation and solve for x
Answer:
x= −20
Step-by-step explanation:
The solution is x = 38
The equation to measure the value of x is ( 2x - 15 )° + ( 3x + 5 )° = 180° and the value of x = 38 from the two angles
What are angles in parallel lines?
Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.
We can conclude three factors determining parallel lines ,
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Same side exterior angles are supplementary
Given data ,
Let the first angle be represented as A
Now , the value of A is = ( 2x - 15 )°
Let the second angle be represented as B
Now , the value of B is = ( 3x + 5 )°
The angles A and B are on the same side of the exterior angles
And , lines a and b are parallel
So , When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary
Substituting the values in the equation , we get
( 2x - 15 )° + ( 3x + 5 )° = 180°
On simplifying the equation , we get
2x - 15 + 3x + 5 = 180
5x - 10 = 180
Adding 10 on both sides of the equation , we get
5x = 190
Divide by 5 on both sides of the equation , we get
x = 190/5
x = 38
Therefore , the value of x is 38
Hence , the value of x from the equation is 38
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Determine the product of (x-2)^3
The profuct of the given expression (x-2)³ is (x³ - 6x² + 12x - 8).
What are expressions?An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.) You can think of expressions as being similar to phrases. Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing. For instance, the mathematical expression for "4 added to 2" will be 2+4.So, (x-2)³:
Do, the product as follows:
(x-2)³Perfect cube root formula: (a - b)³ = a³ - 3a²b + 3ab² -b³
x³ - 3x² · 2 + 3x · 2² -2³Simplify:
x³ - 6x² + 12x - 8Therefore, the profuct of the given expression (x-2)³ is (x³ - 6x² + 12x - 8).
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convert improper fractions to mixed number 7/5
The mixed fraction of the given improper fraction is [tex]1\frac{2}{5}[/tex].
According to the question,
We have the following improper fraction:
7/5
Now, to convert this into mixed fraction we will divide the numerator by the denominator and add the quotient before the fraction and the remainder will form the numerator and the denominator will remain same as that of this improper fraction.
(More to know: there are three kinds of fraction: proper fraction (in proper fraction, we have denominator larger than numerator), improper fraction and mixed fraction.
So, we will divide 7 by 5:
[tex]1\frac{2}{5}[/tex]
Hence, the mixed fraction of 7/5 is [tex]1\frac{2}{5}[/tex].
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Parallel and transversals
I was in a rush so I couldn't write fown the steps. If you need the explanations for how they were gotten, please say.
this is a super hard one
Notice that in the given sequence the difference between the first two terms is 7 so the solution must be in terms of multiples of 7 plus a constant. The only two options that have this characteristic are first and last ones, for the sum to consider the first term the sum must start for r=0.
Answer: last option.
I can take a picture but I can't type it sorry
Substitute 80 for C in the formula F = 9/5C +32 to obtain the temperature in fahrenheit.
[tex]\begin{gathered} F=\frac{9}{5}\cdot80+32 \\ =9\cdot16+32 \\ =144+32 \\ =176 \end{gathered}[/tex]Thus temperature in
w + 2 < 24 solve for w and simplify your answer as much as possible
Answer: w<22
1. Group all constants on the right side of the inequality
2. Subtract from both sides
3. Simplify the arithmetic
4. Simplify the arithmetic
Answer:
w < 22
Step-by-step explanation:
w + 2 < 24
Step 1 : Subtract 2 on both sides.
w + 2 - 2 < 24 - 2
w < 22
Hence, simplified
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
attempt 1 out of 2
Answer:
45%
Step-by-step explanation:
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
P (no bro / yes sis) = P(no bro) - P(sis and bro)
= 12/20 - 3/20
= 9/20
or 45%
In a single experiment, a die is tossed and a spinner with the letters a, b, and c is spun. each letter is equally likely. find the sample space and then find the probability of getting a 2 on the die and a b on the spinner. a. the sample space is 18. the probability of getting 2 and b is startfraction 1 over 18 endfraction. b. the sample space is 9. the probability of getting 2 and b is startfraction 1 over 9 endfraction. c. the sample space is 18. the probability of getting 2 and b is startfraction 1 over 9 endfraction. d. the sample space is 9. the probability of getting 2 and b is startfraction 1 over 18 endfraction.
Answer:c
Step-by-step explanation:
Answer:
Its A. Not C
Step-by-step explanation:
A is The sample space is 18. The probability of getting 2 and B is 1/18.
Please help me with this
The following are daily customer numbers at an outerwear store. You've calculated themedian number of customers for the first six days of the week:Monday Tuesday Wednesday Thursday Friday Saturday Sunday175132A. IncreaseB. DecreaseC. Stay the same121129145160Q. If the store has 173 visitors on Sunday, will the median increase, decrease, or stay thesame?
Answer:
[tex]A\text{ : Increase}[/tex]Explanation:
Here, we want to deduce the median change
The median is a measure of central tendency that represents the middle number is a set of numerical observations
Firstly, let us get the previous median
We start by sorting the numbers from bottom to top
We have that as:
121,129,132,145,160,175
Since the count of observations is even, we have the median as the average of the two mid-values
We have that as:
[tex]\frac{132+145}{2}\text{ = 138.5}[/tex]Adding the last value, the set becomes
121,129,132,145,160,173,175
In this case, the median value would be 145 which shows an increase in the value of the median
Answer:
A. Increase
Step-by-step explanation:
I took the
BRAINLIEST + THANK GIVEN:
A restaurant has a total of 20 tables -> Round tables that seat 2 people and rectangular tables that seat 4 people. All 70 seats in the restaurant are occupied.
write system of equation to represent this scenario.
The system of equations to represent this scenario is x + y = 20 and 2x + 4y = 70 .
In the question ,
it is given that
the total number of tables in the restaurant = 20 tables
let the number of round tables be "x"
let the number of rectangular tables be "y" .
number of person that can seat on a round table = 2
So , the number of person that can seat on "x" round tables = 2x person
number of person that can can seat on rectangular table = 4
So , the number of person that can seat on "y" rectangular tables = 4y person
since total number of table is 20
So , the equation is x + y = 20
and total number of person that can seat are 70 seats .
So , the equation is 2x + 4y = 70
Therefore , The system of equations to represent this scenario is x + y = 20 and 2x + 4y = 70 .
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Help I'm terrible at math
What is the solution to this inequality?
7−14x>3
Answer:
I think the answer is x<2/7
Step-by-step explanation:
That's what i got.
Answer:
Step-by-step explanation:
x<2/7
The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year:Which is the most appropriate choice of origin and scale for this graph?
The most appropriate choices of origin and scale for the graph are given as follows:
Origin: x = 0, y = 0.Scale: x with a scale of 1, y with a scale of 100.Most appropriate scaleThe most appropriate scale one of a graph is one that permits the reader to visualize the data and noting the differences in the data.
In the context of this problem, the values of x from the table increase 1 by 1, hence a large scale would not give the reader a chance to visualize the data, hence a scale of 1 should be used.
The values of y, otherwise, range from 300 to 1200, meaning that a small scale would be bad for the readability of the graph, and thus a scale of 100 should be used for the values of y, giving the readers a chance to visualize the differences between 300 and 1200.
The origin of the graph should be the point (0,0), as both x and y assume only positive values, hence only the first quadrant is needed to plot the graph.
Missing information
The table is missing and is given by the graph at the end of the answer.
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Which expression is equivalent to 4x - 2y = 6
Answer:
2y-4x=6
Step-by-step explanation:
it can be correct i dk
I need this answered please
Answer:
240 copies of the standard version.
Step-by-step explanation:
See attached worksheet.
Bonus: Since 240 standard copies were downloaded, we know that 3 times that number is the number of high quality versions downloaded.
Copies Size(MB) Total MB
Standard 240 2.6 624
High 720 4.4 3168
Total (MB) 3792 {This matches the data]
x/5 > 8 solve the inequality for x and simplify your answer as much as possible
Answer:
x = 40
Step-by-step explanation:
x = 8 x 5
x = 40
that's it
14. In exercise 13, suppose grapes cost
$2.35 per pound, oranges cost $0.99 per
pound, and apples cost $1.65 per pound.
Estimate how much Adrian paid for all
the fruit.
Assume grapes cost $2.35 per pound, oranges cost $0.99 per pound, and apples cost $1.65 per pound in exercise 13. Adrian paid a total of $5 for the fruits.
What is Estimation?Calculations are made easier and more realistically when a number is estimated, which is a plausible estimation of its true value.To estimate something is to approximate it as accurately as possible.To acquire a quick and approximate response, this is obtained by rounding off the values used in the calculation. Rounding integers to the closest whole number is the simplest method for estimating. Rounding off makes getting a rough answer quicker. Koel, for instance, makes a 3950 monthly deposit toward the cost of her new home. This value can be rounded out to 4000 to make the calculation easier. To round a number, determine its nearest required digit. To avoid working with fractions or decimals, numbers are frequently rounded to the next whole number.Therefore,
The cost of Grapes = $2.35 per pound
The cost of Oranges = $0.99 per pound
The cost of Apples = $1.65 per pound
If Adrian purchased one pound of each fruit,
He paid:
$2.35 + $0.99 + $1.65 = $4.99 = $5 (Approx.)
So, Adrian paid $5 in total for the fruits.
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a(n)= 2 3 (−2) n−1
Find the equilibrium concentrations of a and b for a=2 and b=2 . assume that the initial concentration of a is 1.0 moll−1 and that no b is present at the beginning of the reaction.
The concentration of A 0.29M and Concentration B 0.755M that the initial concentration of a is 1.0 moll−1 and that no b is present at the beginning of the reaction.
a A (g)⇔ b B (g) k =2.4
when a= 1 and b= 1
A⇔B
initial 1 0
concentration
change -x +x
equilibrium 1-x x
concentration
so, k = [tex]\frac{B}{A}[/tex] = [tex]\frac{x}{1-x}[/tex]= 2.4
x = 2.4 (1-x)
x = [tex]\frac{2.4}{3.4}[/tex] = =0.755
The equilibrium concentration are
concentration of A = 1-x = 1- 0.755 = 0.29M
Concentration B = x = 0.755M
What is initial concentration?The first measured the concentration of the compound in the substance.
The best way to determine the rate constant k for a first-order half-life is to determine the half-life using experimental data. This is because the first-order half-life is independent of the initial concentration of its initial value. So based on the above relationship, the half-life of a first-order reaction does not depend on the initial concentration.
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The sum of an integer and 2 times the next consecutive even integer is -2. Find the value of the lesser integer.
The value of the lesser integer is -2.
According to the question,
We have the following information:
The sum of an integer and 2 times the next consecutive even integer is -2.
Let's take the lesser integer to be x.
Now, the next consecutive integer will be (x+2).
So, we have the following expression:
x + 2(x+2) = -2
x+2x+4 = -2
3x+4 = -2
Moving 4 from the left hand side to the right hand side will result in the change of the sign from plus to minus:
3x = -2-4
3x = -6
x = -6/3
x = -2
Hence, the value of the lesser integer is -2.
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Jacinda works at Super Shoes and earns
a commission for her sales. A customer
purchases $259.50 in shoes, and
Jacinda receives $31.14 in commission.
What percent commission does Jacinda
earn?
Jacinda get 12% of commission
How to find percentage :
The cost of shoe that customer purchased is $259.50
The amount that Jacinda get commission is $31.14
To calculate the percentage of commission divide 31.14 by 259.50 and multiply by 100.
That is percentage of commission = 31.14/259.50 * 100
= 12%
Jacinda get 12% of commission.
What is percentage ?
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%. To find 50 apples as a percentage of 1250 apples, one first computes the ratio 50/1250 = 0.04, and then multiplies by 100 to obtain 4%.To learn more about percentage refer :
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Can someone help me figure out the 2 proofs for questions 1 and 3 and help me find what X and Y equal for question 2 if you can!! In geometry
Hello! We can prove this with some statements, look:
• Notice that CD is parallel to AB;
,• angle 1 ≅ angle 2
,• M is the midpoint of AB;
Statement 1:
[tex]\hat{\text{AMC}}\cong\hat{\text{BMD}}[/tex]Reasoning 1:
As M is the midpoint of AB and we have two similar lines starting in M, we can divide the angle M into two equal angles m1 and m2.
definition of midpoint
Statement 2:
[tex]\hat{C}=\hat{D}[/tex]Reasoning 2:
As we already know that angle 1 ≅ angle 2, let's calculate the sum of the angles C and D, look:
angle C:
90º + angle 1
angle D:
90º + angle 2
so, 90º + angle 1 ≅ 90º + angle 2, it means that angle C ≅ angle D.
Statement 3:
[tex]\hat{MAC}\text{ = }\hat{\text{MBD}}[/tex]Reasoning 3:
The sum of the internal angles of a triangle must be equal to 180º, right? So, knowing it we can say that angles A and B are equal, look:
m1 + A + C = m2 + B + D = 180º
remember, m1 ≅ m2 and C ≅ D, so A ≅ B too.
According to the explanation and image, we can prove that triangle CAM ≅ triangle DBM.
Table:
a student reflects four point across the y ax is and recorded his work
Reflection across the y axis the y coordinate values remains the same but the x coordinates value changes sign. For example
[tex](x,y)\rightarrow(-x,y)[/tex]Therefore,
[tex]\begin{gathered} (6,8)\rightarrow(-6,8) \\ (1,1)\rightarrow(-1,1) \\ (0,3)\rightarrow(0,3) \\ (3,2)\rightarrow(-3,2) \end{gathered}[/tex]Set D has an error.
12/-3 Enter your answer as a number, like this: 42
Answer:
-4
Step-by-step explanation:
12/-3=-4
PLEASE HELPPPPPP!!!!!!
Which transformation represents a reflection over the y-axis?
Answer: B
Step-by-step explanation:
The preimage is "flipped" over the x axis to form the image.
Option A is a reflection over the line y=x.
Option C is a rotation of 180 degrees about the origin followed by a dilation.
Option D is a reflection over the x-axis.
Option E is also a reflection over the x-axis.