The probability that a randomly chosen item from this assembly line is defective is 0.125.
How to calculate the probability?Probability simply means the likelihood of the occurence of an event.
From the information, the review of her record reveals that she accepts only 8% of all defective items and it was also found that 1% of all items from the assembly line are both defective and accepted by the inspector.
Therefore, the probability will be:
= Percentage of detectives / Percentage of defective accepted
= 1% / 8%
= 0.01 / 0.08
= 0.125
The probability is 0.125.
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5555555555555555555555555555 X 342232323232232323232323222222
Answer: 1.90129068E57
Step-by-step explanation:
Answer:1.9012907e+57
Step-by-step explanation:
a farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. the orchard is divided into equally sized square plots. he has 10 trees of each variety and randomly assigns each tree to a separate plot in the orchard. what are the experimental unit(s) in this study?
The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.
Based on the given conditions.
First a farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard.The orchard is divided into equally sized square plotsHe has 10 trees of each variety and randomly assigns each tree to a separate plot in the orchard.Since the plots are the things being measured, they serve as the experimental units. The explanatory variable is the type of apple trees because they induce change in the experimental unit by undergoing two distinct treatments. The experiment is being run by the farmer, and the outcome is the quantity of apples. Since each plot is being investigated separately, the orchard as a whole has no bearing on the experiment.Therefore,
The plots are experimental units in this study, then the farmer is conducting an experiment to determine which variety of apple tree, fuji or gala, will produce more fruit in his orchard. So ,the answer is the plots.
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Simplify negative 3 and 1 over 4 minus 6 and 2 over 3.
negative 119 over 12
negative 33 over 12
negative 9 and 3 over 12
9 and 11 over 12
We need to know about mixed fractions to solve the problem. The simplified answer is -119/12.
Mixed fractions is a fraction that is represented by it's quotient and remainder. Mixed fractions are solved by multiplying the denominator with the number in front and then adding the numerator to it, to get the numerator of the simple fraction, the denominator of the simple fraction remains same. In the given question we need to simplify the mixed fractions and then solve it.
[tex]-3\frac{1}{4} -6\frac{2}{3}[/tex] = -13/4-20/3=-39-80/12=-119/12
Therefore the simplified answer is -119/12, option (a) is the correct answer.
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Answer:
119 over 12
Step-by-step explanation:
Find a polynomial of the specified degree that satisfies the given conditions. degree 4; zeros -1, 1, square root 5; integer coefficients and constant term 10
The polynomial of specified degree is 2x²-8x²+6
Before attempting to answer a polynomial problem, write it out in standard form. Factor it, then when each variable factor reaches zero, set them all to zero. The answers to the derived equations are the solutions to the original equations. Polynomial equations are not always amenable to factoring as a solution.
Polynomials are the sums of terms of the form kxn, where k is any number and n is a positive integer. a description of polynomials, such the polynomial 3x+2x-5. This video covers the ideas of degree, standard form, monomial, binomial, and trinomial.
If √3 is a root
so is -√3
thus, the polynomial is c(x-1)(x+1)(x-√3)(x+√3) = c(x²-1)(x²-3) = c(x⁴-4x²+3)
As the constant term is 6, 3c = 6, so c = 2
2(x4-4x2+3) = 2x⁴-8x²+6
Hence The polynomial of specified degree is 2x²-8x²+6
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lusIf this trapezoid is moved through thetranslation (x+3, y-2), what will thecoordinates of D' be?5BС43А2D1-7 -6 -54 -3- 2-1012.34-1D' = ([?], [ 1)-2Enter
trapezoid is moved through the
translation (x+3, y-2)
So we add 3 to x and then subtrack -2 to y
please help ME !!!!!I need help !!!!!!!
Which graphs show functions with direct variation? Select three options. A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4). A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5). A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).
The graphs which show functions with direct variation include the following:
B. A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).
C. A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).
E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).
What is a graph?A graph is a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
Generally speaking, the graph of any proportional relationship (direct variation) is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.
In conclusion, the graphs representing direct variation are shown in the image attached below.
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Complete Question:
Which graphs show functions with direct variation? Select three options.
A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).
A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).
A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).
A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).
E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).
a bald eagle sits in his nest in a tree at the top of the mountain. the nest is 1284 feet above the ground the eagle can dive at a rate of 88 feet/second what is the eagles height h after 7 seconds? the function rule for the height of the eagle after s seconds is? after 7 seconds the eagles height is?
The function rule for the height of the eagle after s seconds is h(s) = 1284 - 88s.
The height of eagle after 7 seconds is 668 feet.
Given that:-
Height of nest = 1284 feet
Speed of the bald eagle = 88 feet/second
Hence, we can write, after s seconds,
Height of eagle after s seconds = height of the nest - Time (in seconds) * Speed of the eagle
Hence,
h(s) = 1284 - s*88
h(s) = 1284 - 88s.
From the above equation, we can find the height of the eagle after 7 seconds.
h(7) = 1284 - 88*7 = 1284 - 616 = 668 feet.
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For f(x) = 4x + 1 and g(x) = x2 - 5, find (f- g)(x).
Answer: (f - g)(x) = -x^2+4x+6
Work Shown:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = (4x+1) - (x^2-5)
(f - g)(x) = 4x+1 - x^2+5
(f - g)(x) = -x^2+4x+(1+5)
(f - g)(x) = -x^2+4x+6
Hello, I need help. Just answers
Subtract
f(x) = -5x²+x-2
g(x)=-3x² + 3x +9
Find the value of the missing angles, marked a, b and c. Give a reason for each stage of your working.
The unknown angles of the diagram is as follows;
a = 32°b = 20°c = 128°How to find angles?The missing angles of the diagram can be found as follows:
The sum of angles in a triangle is 180 degrees.
Therefore,
32 + 128 + b = 180
160 + b = 180
b = 180 - 160
b = 20°
Therefore,
a = 32°(alternate angles)
Alternate angles are congruent.
180 - a - b = c (sum of angles on a straight line)
180 - 32 - 20 = c
c = 180 - 32 - 20
c = 128°
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River needs to buy a shade for a window in his house. He measured the width
of the window as 27 inches. The actual measurement is 24 inches. What is the
percent of change or the percent error
Answer: 12.5%
Step-by-step explanation:
Actual measurement of the window = 24 inches
Measured measurement of the window = 27 inches
We need to find the Rivers percent error. It can be calculated as follows :
% = (|actual value-measured value|)/actual value × 100
% [tex]=\frac{27-24}{24} \times 100\\\\[/tex]
%= 12.5%
So, River's percent error is 12.5%.
using technology how do you calculate a weighted average ROR of investments
A weighted average of the share amount paid for the shares may be calculated by the investor. To achieve this, multiply the total number of shares purchased by each price, add those numbers, and then divide the total by the number of shares purchased.
This is further explained below.
What is the weighted average ROR?The total sum of the product (or multiplication) of the weights that are associated with various investment alternatives and their corresponding results is the weighted average return. This is also known as the weighted mean return.
The total of these weights is equivalent to one hundred percent.
Generally, The investor has the ability to compute a weighted average of the share prices at which the shares were purchased.
To do this, first, multiply the number of shares bought at each price by that price, then add up the values obtained from steps one and step two, and then divide the entire value by the total number of shares.
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The table represents an absolute value function f(x).
x f(x)
−5 2
−4 1
−3 0
−2 1
−1 2
0 3
1 4
2 5
3 6
What are the vertex and range of the function?
Vertex (−3, 0), Range: {y | 0 ≤ y < ∞}
Vertex (−3, 0), Range: {y | −3 ≤ y < ∞}
Vertex (0, 3), Range: {y | 0 ≤ y < ∞}
Vertex (0, 3), Range: {y | 3 ≤ y < ∞}
Answer:
Vertex (−3, 0), Range: {y | 0 ≤ y < ∞}
Step-by-step explanation:
See attached graph.
Given m || n, find the value of x and y.
Answer:
see my picture, bro. hope it can help
Answer:
x = 15
y = 50
Step-by-step explanation:
Linear Pair
Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).
The angles (8x + 10)° and y° form a linear pair.
Therefore, equate the sum of these angles to 180° and isolate y:
⇒ (8x + 10)° + y° = 180°
⇒ 8x + 10 + y = 180
⇒ 8x + 10 + y - 10 = 180 - 10
⇒ 8x + y = 170
⇒ 8x + y - 8x = 170 - 8x
⇒ y = 170 - 8x
Corresponding Angles Postulate
When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
The angles y° and (3x + 5)° are corresponding angles and are therefore congruent:
⇒ y° = (3x + 5)°
⇒ y = 3x + 5
Substitute the second equation for y into the first equation for y and solve for x:
⇒ 3x + 5 = 170 - 8x
⇒ 3x + 5 + 8x = 170 - 8x + 8x
⇒ 11x + 5 = 170
⇒ 11x + 5 - 5 = 170 - 5
⇒ 11x = 165
⇒ 11x ÷ 11 = 165 ÷ 11
⇒ x = 15
Substitute the found value of x into one of the expression for y and solve for y:
⇒ y = 170 - 8x
⇒ y = 170 - 8(15)
⇒ y = 170 - 120
⇒ y = 50
Final solution:
x = 15y = 50I need help Solving this
Answer:
51°
Step-by-step explanation:
2. Find the amount of compound interest earned when $5,000 is invested at 3% for 5 years when
compounded annually.
What’s the answer and how do I find it?
Answer:
[tex] \dfrac{3a^2 + 3b}{a^2 - b^2} [/tex]
Step-by-step explanation:
You can try factoring the numerator and denominator.
[tex] \dfrac{3a^2 + 3b}{a^2 - b^2} = \dfrac{3(a^2 + b)}{(a + b)(a - b)} [/tex]
Nothing cancels out, so the expression is simplified as given.
Answer: [tex] \dfrac{3a^2 + 3b}{a^2 - b^2} [/tex]
Find the accumulated value if the money is compounded quarterly?
Part b.
In this case, the money is compounded quarterly, this means that n=4 (4 times per year). So, by substrituting the given values into the compound interes formula, wer have
[tex]A=15000(1+\frac{0.045}{4})^{4\times5}[/tex]which gives:
[tex]A=18761.26[/tex]the cost c in dollars of producing v video games is represented by c=6.8v^2 how many video games are produced if the cost is $979.20
Answer:
12 video games
Step-by-step explanation:
[tex]6.8 {v}^{2} = 979.20[/tex]
[tex] {v}^{2} = 144[/tex]
[tex]v = 12[/tex]
What is the slope of the line that passes through the points (2, -6) and (6, -12)? Write your answer in simplest form.
Answer:
4/-18 or 2/-9
Step-by-step explanation:
The slope of a straight line is a number that indicates how steep the line is. You can calculate the slope of a line by dividing the vertical change, called the rise, by the horizontal change, called the run, between two distinct points on the line.
Slope = change in y divided by change in x or rise divided by run
6 - 2 = 4
-12 - 6 = -18
Answer would be 4/-18
A 5 foot tall person standing near a tree casts a shadow 8 feet long. At the same time, the tree casts a shadow that is 24 feet long. The triangles shown in the diagram are similar.
What is the value of x, the height of the tree?
30 ft.
12 ft.
15 ft.
2.5 ft.
The height of the tree is 15 feet. Option C
What is proportion?Proportion can simply be defined as an arithmetic comparison between two quantities, numbers or elements.
It is also described as an equation where two given ratios are made equal or equivalent to each other.
From the information given, we have that;
5 foot tall person casts a shadow 8 feet longThe tree casts a shadow that is 24 feet long.To determine the height of the tree 'x', we have;
If 5 feet = 8 feet long shadow
Then x feet = 24 feet long
cross multiply
8 × x = 24 × 5
Multiply through
8x = 120
Divide both sides by 8, we have;
x = 120/8
x = 15 feet
Hence, the height is 15 feet
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Name each of the following angles in three different ways.
Recall that the angles can be named:
1) The same as the vertex.
2) With 3 points being the middle point the vertex.
3) A symbol is placed at the angle.
Answer:
1) NML, M, and 3.
2) HGF, G, and 9.
heelp mee with thisssss
4. The cube of 4 in expanded form is: 4 × 4 × 4 = 64.
5. Four times three is not the same thing as cube of a number, but rather 4 × 3 = 12.
What is the Cube of a Number in Expanded Form?The cube of a number means the number multiplied by itself three times. With the knowledge of this, we can write the cube of any number in expanded form.
For example, given a number y, the cube of y is = y³
This means that y multiplied by itself three times, which can be written in expanded form as: y × y × y = y³
If y is 2, the cube of 2 would mean: 2³ = 2 × 2 × 2 = 8.
Therefore:
4. Four cubed is 4³
In expanded form, it is: 4 × 4 × 4, which is evaluated as = 64.
5. Four times 3 in numbers is: 4 × 3, which is evaluated as = 12.
Our answer in #5 is different from our answer in #4 because cube of 4 is 4 times itself in 3 places.
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i can provide additional photos if more info is needed
QUESTION A
To find the cost of making 300 minutes of calls, we can trace the graph from where the x-axis is 300 to the graph and then get the value on the y-axis. This is shown below:
Therefore, the cost of the plans are:
[tex]\begin{gathered} Plan\text{ }A=24 \\ Plan\text{ }B=20 \end{gathered}[/tex]Therefore, PLAN B costs less.
The difference between the two plans will be:
[tex]\Rightarrow24-20=4[/tex]Therefore, Plan B costs $4 less than Plan A.
QUESTION B
Both plans cost the same at the point where the two graphs intercept. Checking the graph, this occurs when:
[tex]x=250[/tex]Therefore, the number of minutes that both plans cost the same is 250 MINUTES.
Plan B has a constant price of $20, regardless of the number of minutes used. However, Plan A is variable. The cost of Plan A only exceeds $20 after 250 minutes.
Therefore, before this time, PLAN B costs more.
Compute the diameter of a circle with a circumference of 34 feet
Answer:
d ≈ 10.8 feet
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( where d is the diameter )
given C = 34 , then
πd = 34 ( divide both sides by d )
d ≈ 10.8 feet ( to 1 dec. place )
Answer:
The diameter of circle is 10.82 feet.
Step-by-step explanation:
Given :Circumference of circle = 34 feetTo Find :Radius of circle Diameter of circle Using Formulas :[tex]\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]
[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2r}[/tex]
Where
π = 3.14r = radiusSolution :Finding the radius of circle by substituting all the given values in the formula :
[tex]\longrightarrow\sf{Circumference_{(Circle)} = 2 \pi r}[/tex]
[tex]\longrightarrow\sf{34 = 2 \pi r}[/tex]
[tex]\longrightarrow\sf{34 = 2 \times 3.14 \times r}[/tex]
[tex]\longrightarrow\sf{34 = 6.28 \times r}[/tex]
[tex]\longrightarrow\sf{ r = \dfrac{34}{6.28}}[/tex]
[tex]\longrightarrow\sf{\underline{\underline{ r \approx 5.41}}}[/tex]
Hence the radius of circle is 5.41 feet
[tex]\begin{gathered} \end{gathered}[/tex]
Now, calculating the diameter of circle by substituting the given value in the formula :
[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2r}[/tex]
[tex]\longrightarrow\sf{Diameter_{(Circle)} = 2 \times r}[/tex]
[tex]\longrightarrow\sf{Diameter_{(Circle)} \approx 2 \times 5.14}[/tex]
[tex]\longrightarrow\sf{Diameter_{(Circle)} \approx 10.82}[/tex]
Hence, the diameter of circle is 10.82 feet.
————————————————If f(x) is a linear function, what is the value of n?
-4
-1
n
02
O
O 9
f(x)
-25
-10
20
Solving the QuestionDetermining the slope
In linear functions, there is a constant difference between the y-values on a table. This means that it increases or decreases by the same amount per every equal interval.
For instance: 2, 4, 6, 8 ⇒ Constant difference of 2 every 1 term
To find the constant difference for this set of values, determine the constant difference (y), and by what interval this difference occurs (x).
Looking at the first two rows of the table, we now know that for every increase in 3 in the x-values yields an increase of 15 in the y-values.
difference between -4 and -1 = 3difference between -25 and -10 = 15We can write it like a fraction, with difference in y on top and difference in x at the bottom:
[tex]\dfrac{15}{3}[/tex] ⇒ [tex]5[/tex]
Congratulations! We have now found the slope of the line.
Solving for nLinear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-interceptPlug in our slope, and solve for the y-intercept by using one of the given points from the table:
[tex]y=5x+b\\-10=5(-1)+b\\-10=-5+b\\b=-5[/tex]
Plug this back into the equation:
[tex]y=5x-5[/tex]
To find n, plug in 20 as y and solve:
[tex]20=5n-5\\25=5n\\n=5[/tex]
Answern = 5
pls help need to answer asap will mark brainliest
Depreciation expense is $20,121 in equation .
What is Depreciation expense?
When an asset is depreciated for a single period, the cost of the asset reflects how much of its value was used up during that year. This is known as depreciation expense. A piece of property's accumulated depreciation is the total amount of depreciation expense that has been incurred since the property first came into use.Additional to retained earnings = 5,900
Add : dividends paid = 2,040
Net income = $7940
Tax = 22%
Before tax income 97940 -/( 1 - 0.22) = $10179.48
Add : Interest expense = $4600
operating income = $14,779.48
Sales = $66,000
Less : costs = $31,100
Gross profit = $34,900
Depreciation expense = $20,121
(34,900 - 14,779.48)
Depreciation expense is $20,121 .
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If using the method of completing the square to solve the quadratic equation x^2-20x+33=0, which number would have to be added to "complete the square"?
The number 67 must be added to form the complete square ( x - 10)² to solve the quadratic equation x² - 20x + 33.
Consider the quadratic equation,
x² - 20x + 33 = 0
Comparing the equation with general form of quadratic equation ax² + bx + c = 0
We have,
a = 1, b = - 20, and c = 33
x² - 20 x +33 =0
x² - 2 × 10 x + ( 10 )² - ( 10 )² + 33 =0
By using the identity ( a - b )² = a² - 2ab + b²
( x - 10)² -100 +33 =0
( x - 10)² - 67 =0
( x - 10)² = 67
Hence, the complete square:
( x - 10 )² = 67
x - 10 = ± √67
x - 10 = ± 8.1853
So,
x - 10 = 8.2
x = 10 + 8.2
x = 18.2
And;
x - 10 = - 8.2
x = 10 - 8.2 = 1.8
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