Answer: p-3[tex]\leq[/tex]29
Step-by-step explanation:
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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when a single card is drawn from a standard 52-card deck, what is the probability that it will be a king or a diamond?
The probability that it will be a king or a diamond is 4/13
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Here, we have
There are 52 cards, of which 4 are kings.
There are 52 cards, of which 13 are diamonds.
But there are only 3 cards that are kings which are not diamonds, and only 12 cards that are diamonds but not kings, there’s one card that is both a king and a diamond.
So, there are 3/52+12/52=15/52 chances of drawing a card that is king or diamond but not both.
There are 3/52+12/52+1/52=16/52 chances of drawing a card that is king or diamond or both.
Hence, the probability that it will be a king or a diamond is 4/13.
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What is the equation of a line that passes through 1 2 and is perpendicular to the given line?
The equation of the line that passes through (1,2) and is perpendicular to the given line is y = -x + 3 with slope 2.
Given line: y = 2x - 1
We know that two lines are perpendicular if their slopes are negative reciprocals of each other.
The provided line's slope is m1 = 2.
Therefore, slope of the line that passes through (1,2) and is perpendicular to the given line = m2 = -1/2
Now, we can use the point-slope equation of a line to find the equation of the line:
y = -x + 3
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Write an equation of a line in lope intercept form that pae through (1,5) and i parallel to y=4x2
The equation of the line is y = 4x + 9
Given,
The points; (x₁, y₁) = (1, 5)
The line is parallel to, y = 4x - 2
Here,
The line given is in the Slope Intercept Form
y = mx + b
y = 4x - 2
Parallel Lines have the same slope
So,
Slope, m = 4
Then,
y = 4x + b
Since it passes through point p(1, 5) we can use these coordinates to solve for b
5 = -4 + b
Solve for b
9 = b
Therefore, the equation of the line;
y = 4x + 9
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Which of the following equations has the solutions shown in the graph?
-5-4-3-2
7
n
2
w
+
&
a.
y=x²-3x+ 2
b. y=x²+2x-3
1 23 4
C. y=x²+x-6
d.
y=x²-x-6
Answer: can you provide the graph so i can give an answer?
Step-by-step explanation:
If a rectangle is 11 feet long and 5 feet wide, what is its area in square feet?.
Answer: 55 square feet
Step-by-step explanation:
To find area:
Length * Width
11 * 5 = 55
Answer: 55 sq. feet
explanation : 5 x 11 is 55, so 55 square feet
translate (x , y) ( x - 5, y - 3); reflect over the line x = 0 ( the x- axis); rotate 180 defgrees clockwise about the orgin
The vertices of the image of triangle ABC after the transformations are given as follows:
A'(4,-2), B'(4,2), C'(0,-1).
How to obtain the vertices of the image of triangle ABC?The vertices of triangle ABC are given as follows:
A(1,1), B(1,5), C(5,2).
The first transformation is the translation defined as follows:
(x,y) -> (x - 5, y - 3).
Hence the translated vertices are given as follows:
A'(-4, -2), B'(-4, 2), C'(0, -1).
The second transformation is the reflection over the x-axis, hence the rule is:
(x,y) -> (x, -y).
Then the vertices of the translated and reflected triangle are given as follows:
A'(-4, 2), B'(-4,-2), C'(0,1).
The final transformation is the rotation of 180º clockwise around the origin, for which the rule is of:
(x,y) -> (-x,-y).
Then the vertices of the image, after all the transformations, are given as follows:
A'(4,-2), B'(4,2), C'(0,-1).
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What is her monthly cost?
Answer: Juana's monthly cost is .05 per text. Tonya's is .5 per text. The correct answer to your question is Tonya pays $20 for 150 messages because that is not true
Step-by-step explanation:
How do you find the slope and y-intercept of a graph?
The slope and y-intercept of a graph can be determined by examining the equation of the line.
The slope is the coefficient of the x-term (the number next to x in the equation) and the y-intercept is the number that the line crosses the y-axis (the constant in the equation). For example, if the equation of a line is y = 2x + 5, then the slope is 2 and the y-intercept is 5. To graph the line, you can use the slope and y-intercept. Start at the y-intercept and move up or down the number of units indicated by the slope. For example, if the slope is 2, move two units up or two units down and plot a point. Repeat this process until the graph is complete.
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Find the slope on the graph.
Answer:
-1/2
Step-by-step explanation:
Rise/Run
write the standard form of the equation of each line given the slope and y-intercept
slope= -¼ y-intercept = 0
slope= -1 y-intercept = -2
slope = -1 y- intercept= -1
slope= -2 y-intercept= 0
100 POINTS HELP ME PLEASE ILL GIVE BRAINLIEST ASAP
Answer:
B
Step-by-step explanation:
Do old total minus the new total to get the difference then divide by old to total.
The correct answer would be (B).
A person carries a mass of 10 kg and walks along the +x-axis for a distance of 100m with a constant velocity of 2 m/s. What is the work done by this person?.
Work done by the person for the displacement of 100m along +x-axis with constant velocity and mass of 10kg is equal to 0Joule.
As given in the question,
Mass of a person 'm' = 10kg
Displacement of the person while walking along +x axis 'd'= 100m
Constant velocity = 2m/s
Let 'w' be the work done by the person
Work = Force × Displacement
Force = mass × acceleration
Acceleration = (final velocity - initial velocity)/ total time taken
Here, Constant velocity ⇒final velocity - initial velocity = 2- 2
= 0m/s
⇒Acceleration = 0m/s²
⇒Force = 10 × 0
= 0Kgm/s²
⇒Work done = 0 × 100
= 0 Joule
Therefore, work done by the person for the given displacement, velocity, and mass is equal to zero Joule.
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The histogram summarizes the percentage of people in each state and the District of
Columbia who identify as Hispanic or Latino. Use the drop-down menus to describe the
distribution of percentages shown in the histogram.
Is the answers that I chosen are correct? Pls Help Me
Answer:
skewed to the right
40.1
49.9
Step-by-step explanation:
the largest possible range is the largest number from the largest margin minus the smallest number from the smallest margin
(49.9-0=49.9
the smallest possible range is the smallest number from the largest margin minus the largest number from the smallest margin
(45.0-4.9=40.1)
Write and simplify an expression for the area of a rectangle where the length is three more than twice the width.
Answer:
a = 2[tex]w^{2}[/tex] + 3w
Step-by-step explanation:
Area = length time width
A= (2w + 3) w
a = 2[tex]w^{2}[/tex] + 3w
Given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
True
False
It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.
The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.
A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.
The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.
The standard equation of a regular parabola is y² = 4ax.
It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
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Solve using elimination. –x − 7y = –20 –6x − 7y = –15
Answer:
x = −1 and y = 3
Multiply the second equation by -1, then add the equations together.
(−x−7y=−20)
−1(−6x−7y=−15)
Becomes:
−x−7y=−20
6x+7y=15
Add these equations to eliminate y:
5x=−5
Then solve5x=−5for x:
5x=−5
5x/5 = -5/5
x = -1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−x−7y=−20
Substitute−1 for x in −x −7y = −20:
−(−1)−7y=−20
−7y+1=−20(Simplify both sides of the equation)
−7y+1+−1=−20+−1(Add -1 to both sides)
7y = -21
-7y/-7 = -21/-7
y=3
Yaritza runs a farm stand that sells peaches and grapes. Each pound of peaches sell for $2.50 and each pound of grapes sells for $3.75. Yaritza made $225 from selling a total of 75 pounds of peaches and grapes. Graphically solve a system of equations in order to determine the number of pounds of peaches sold, x, and the number of pounds of grapes sold, y.
The amounts of each substance are given as follows:
Peaches: 45 pounds. Grapes: 30 pounds.How to solve the system of equations graphically?The graphic solution of a system of equations is given by the point of intersection of the equations that compose the system.
The variables that define the system in this problem are given as follows:
Variable x: number of pounds of peaches sold.Variable y: number of pounds of grapes sold.Yaritza sold a total of 75 pounds of peaches and grapes, hence:
x + y = 75.
Each pound of peaches sell for $2.50 and each pound of grapes sells for $3.75, and she made $225, hence:
2.5x + 3.75y = 225.
As given by the image at the end of the answer, the intersection of these two equations in the graph is given as follows:
(45, 30).
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Solve the equation 4x + 7y = 11 for y.
y equals the quantity 4 times x plus 11 end quantity over 7
y equals the quantity negative 4 times x plus 11 end quantity over 7
y equals negative 4 times x plus 11 over 7
y equals negative 4 over 7 times x plus 11
The solution is Option B.
The value of y of the equation 4x + 7y = 11 is y equals the quantity negative 4 times x plus 11 end quantity over 7
y = ( -4x + 11 ) / 7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
4x + 7y = 11 be equation (1)
On simplifying the equation to solve for y , we get
Subtract 4x on both sides of the equation , we get
7y = 11 - 4x
Divide by 7 on both sides of the equation , we get
y = ( 11 - 4x ) / 7
So , on simplifying the equation , we get
y = ( -4x + 11 ) / 7
Therefore , the value of y is ( -4x + 11 ) / 7
And , y equals the quantity negative 4 times x plus 11 end quantity over 7
Hence , The value of y of the equation 4x + 7y = 11 is y equals the quantity negative 4 times x plus 11 end quantity over 7
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What value of x makes the equation 52(x−2)=4 true?
Answer:
To solve for the value of x that makes the equation 52(x−2)=4 true, we need to first isolate the x term on one side of the equation. We can do this by dividing both sides of the equation by 52 to get rid of the coefficient in front of the x term.
Dividing both sides of the equation by 52, we get:
52(x−2) = 4
(x−2) = 4/52
(x−2) = 1/13
Next, we can add 2 to both sides of the equation to isolate the x term on the left side of the equation.
(x−2) + 2 = 1/13 + 2
x = 1/13 + 2
x = (1/13) + (2/1)
x = (13+26)/13
x = 39/13
Therefore, the value of x that makes the equation 52(x−2)=4 true is x = 39/13.
Step-by-step explanation:
Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score between 68 and 82.
68.26% of students out of 500 would score between 68 and 82 if the mean is 75 and standard deviation is 7.
What is meant by standard deviation?A low standard deviation suggests that values are often close to the mean (also known as the anticipated value) of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.
Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.
Given,
Mean μ=75
σ=7
By using normal distribution,
P(68<x<82)=P(((68-μ)/σ)<z<((82-75)/7))
P(-1<z<1)
P(z<1)-P(z< -1)
By using z-table, we get
=0.8413-0.1587
=0.6826
P(68<x<82)=0.6826≈68.26
P(68<x<82)=68.26%
Therefore, 68.26% of students out of 500 would score between 68 and 82 if the mean is 75 and standard deviation is 7.
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this type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.
As per the concept of survey, Nonresponse is the type of bias that happens when individuals with certain characteristics are less likely to respond to surveys than others.
What is the working process of survey?
In general terms, survey refers a set of questions people are asked to gather information or find out their opinions, or the information gathered by asking many people the same questions.
Here we need to find the type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.
As we know that, when respondents to a survey question or the entire survey are unable or unwilling to respond, this is known as nonresponse bias. Individuals have many excuses for not responding and a cause of error must be systematic in order to be categorized as biased.
Here the distinction between respondents and non-respondents frequently plays a role in explaining why there was no response.
Therefore, Non-response bias, also known as participation bias, is sometimes the result of shoddy survey design and poor questionnaire targeting.
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Find the value of sin U rounded to the nearest hundredth, if necessary.
26
24
W
10
The value of sin U of the right triangle is as follows:
sin U = 12 / 13
How to find the side or angle of a right triangle?A right angle triangle are triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the angles position. The sides of a right triangle are as follows:
opposite sideadjacent sidehypotenuse sideThe angles and side of a right triangle can be found using trigonometric ratios as follows:
sin U = opposite / hypotenuse
where
opposite side = 12
hypotenuse side = 13
Hence,
sin U = 12 / 13
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Kiran's aunt plans to bike 10 miles.
1. How long will it take if she bikes at an average rate of 8 miles per hour?
Answer:
1.25 hours (1 and 1/4 hours)
Step-by-step explanation:
Kiran;s aunt bikes at an average rate of 8 miles/hr. Assuming it is an average day, we can determine the time it will take her to bike 10 miles by dividng the miles by her average speed:
(10 miles)/(8 miles/hr)
The miles cancel and the hr comes to the top:
(10/8) hours or 1.25 hours 1 and 1/4 hours
Kiran's aunt takes 1.25 hours to cover the distance of 10 miles at the average speed of 8 miles per hour.
What is speed?In unit time, the distance covered by any object is called speed.
In mathematical term, Speed is express as S = D/T,
where S=speed, D=distance, T= time.
Given that,
Distance that Kiran's aunt plans to bike = 10 miles.
The average speed of bike = 8 miles per hour.
To find the time taken by Kiran' aunt to cover 10 miles distance,
Use Formula
Time = Distance / speed
Time = 10 / 8
Time = 1.25
The time taken by Kiran's aunt to cover 10 miles distance is 1.25 hours.
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Rent-An-Suv charges an $80 fee to rent a truck and $12 per mile. Another
rental company charges a $150 fee to rent a truck and $8.50 per mile. The
two rental companies will cost the same amount at how many miles?
Answer:
The two rental companies will cost the same amount at 20 miles.------------------------------------
Let the number of miles be x.
Then we have the following equation:
80 + 12x = 150 + 8.5x, Here the LSH is representing total for one company and the RHS - for the second company.Solve it for x:
12x - 8.5x = 150 - 803.5x = 70x = 70/3.5x = 20Ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.
Answer:
If the video game that Ethan bought usually costs $39.99, and it was on sale for 20% off, then the discount on the game would be $39.99 x 20/100 = $8.00. To determine the final price of the game after the discount, we can subtract the discount from the original price of the game, which gives us:
Final price = $39.99 - $8.00 = $31.99
Therefore, Ethan paid $31.99 for the video game that was on sale. This can be rounded to the nearest cent to give us a final answer of:
Final price = $31.99 ≈ $32.00.
Therefore, Ethan paid $32.00 for the video game that was on sale.
Step-by-step explanation:
What is the solution to the system of equations y 3x 2 5x 2y 15?
The solution of the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55)
The first equation is
y = -3x - 2
The second equation is
5x + 2y = 15
To solve this problem we have to use the substitution method
Substitute the value of y = -3x - 2 in the second equation 5x + 2y = 15
5x + 2(-3x -2) = 15
5x - 6x - 4 = 15
-x - 4 = 15
-x = 15 + 4
-x = 19
x = -19
Substitute the value of x in the first equation
y = -3x - 2
y = -3(-19) - 2
= 57 - 2
= 55
Therefore, the solution of the system of equation is (-19, 55)
I have solved the question in general, as the given question is incomplete
The complete question is
What is the solution to the system of equations
y = -3x - 2 and 5x + 2y = 15
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solve for e: -4b+1=8+2e
Answer:
-2b - 7/2
Step-by-step explanation:
solve for e: -4b+1=8+2e
-4b + 1 = 8 + 2e
-4b + 1 -8 = 2e
-4b - 7 = 2e
-2b - 7/2 = e
45% of the children in a school have a dog, 30% have a cat, and 18% have a dog and a cat. a) what percent of those who have a dog also have a cat? b) what percent of those who have a cat also have a dog?
(a) the percent of those who have a dog also have a cat is 40% .
(b) the percent of those who have a cat also have a dog is 60% .
In the question ,
it is given that ,
the percent of children who have a dog = 45% ,
the percent of children having cat = 30%
the percent of children having dog and cat = 18% ,
Part(a)
the percent of children that have a dog also have a cat is
= (number of children that have dog and cat)/(number of children having dog)
= 18/45
= 0.4 = 40% .
Part(b)
the percent of children that have a cat also have a dog is
= (number of children that have dog and cat)/(number of children having cat)
= 18/30
= 0.6 = 60% .
Therefore , the required percent for part(a) is 40% and part(b) is 60% .
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when multiplied it equals -32 but when added it equals -4
Answer: -8 and 4 or 16 and 2
Step-by-step explanation:
A pair of integers that satisfies the given conditions is -8 and 4.
When multiplied, the product of -8 and 4 is -32. When added, the sum of -8 and 4 is -4. Therefore, -8 and 4 are a pair of integers that satisfies the given conditions.
To verify this solution, we can multiply -8 and 4 to get -32, and then add -8 and 4 to get -4. This confirms that -8 and 4 are a valid solution to the problem.
It is also possible to find other pairs of integers that satisfy the given conditions. For example, another pair of integers that satisfies the given conditions is -16 and 2. When multiplied, the product of -16 and 2 is -32. When added, the sum of -16 and 2 is -4. Therefore, -16 and 2 are another pair of integers that satisfies the given conditions.