The expression that explains what happened to the price of the jacket is 0.85(1.4s), which represents a 40% increase in price followed by a 15% discount.
The expression 0.85(1.4s) represents the current selling price of the jacket, which includes two price changes.
To explain what happened to the price of the jacket, we can break down the expression into two steps:
1. The first change was an increase by 40%, which can be represented as multiplying the original price "s" by 1.4 (100% + 40% = 140% or 1.4). So, the price after the first change is 1.4s.
2. The second change was a discount of 15%, which can be represented as multiplying the price after the first change by 0.85 (100% - 15% = 85% or 0.85). So, the price after both changes is 0.85(1.4s).
So, the expression that explains what happened to the price of the jacket is 0.85(1.4s), which represents a 40% increase in price followed by a 15% discount.
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-6 + x = -2
Thank you
Answer:
4 because I know it's right
write 5 lcms of 100 and 120
Answer:
The LCM of 100 and 120 is 600.
The LCM of 5 and 120 is 120.
LCM of 5 and 100 is 100.
Step-by-step explanation:
I think this is the answer . If it is not sorry .
hi can someone help me with this I will thank u so much and give u stars and a thank u
Find the products mentally.
6.(0.8).2
(4.5) . (0.6) .4
Answer:
i think it is .64
Step-by-step explanation:
What is the multiplicative inverse of 3?
A) -3. B) -1/3. C) 1/3 D) 3
Answer:
C) 1/3
Step-by-step explanation:
When a number is multiplied by its multiplicative inverse, it should be equal to 13 = 3/1
3/1 x 1/3 = 3/3 = 1
Please help!! Urgent!
Answer:
-1, 7
Step-by-step explanation:
Based on the graph (it's a little blurry!) it looks like f(x) = 0 when x = -1 and x = 7. The question is asking, for what values of x is y=0? Answer is x = -1, 7
What is 5n = 185 what’s the n=__?
249 = 3y y=__?
-6w = 354 w=__?
1. n = 37
isolate n by dividing both sides by 5
2. y = 83
isolate y by dividing both sides by 3
3. w = -118
isolate w by dividing both sides by -6
i need help with some revision
Answer:
angle y = 60
Step-by-step explanation:
They are equal due to the rule that vertical angles are always equal
"A pair of vertically opposite angles are always equal to each other."
hope this helps
Enter a simplified fraction to represent the ratio where ∠ A is the angle of reference.
Solve for opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent in fraction form, please.
A simplified fraction to represent the ratio where ∠A is the angle of reference is 12/13.
How to calculate the magnitude of angle A?In order to determine the magnitude of angle A, we would apply cosine ratio because the given side lengths represent the adjacent side and hypotenuse of a right-angled triangle.
cos(θ) = Adj/Hyp
Where:
Adj represents the adjacent side of a right-angled triangle.Hyp represents the hypotenuse of a right-angled triangle.θ represents the angle.By substituting the given side lengths cosine ratio formula, we have the following;
cos(θ) = Adj/Hyp
cos(A) = 1.2/1.3
cos(A) = 1.2/1.3 × 10/10
cos(A) = 12/13
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I put the same number of chocolate buttons on each of seven cakes. I had 40 buttons at the start and now have five buttons left over. How many did I put on each cake?
Answer:
5 buttons on each cake
Step-by-step explanation:
40 - 5 = 35
35 / 7 = 5
A rare disease exists with which only 1 in 500 is affected. A test for the disease exists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual had the disease?
There is a 16% probability that the individual actually had the disease given a positive test result.
The probability that the individual had the disease can be calculated as follows:
Let A = Event of testing positive and actually having the disease
Let B = Event of testing positive but not actually having the disease
We are looking for P(A|B), which is the probability of actually having the disease given a positive test result.
Using Bayes' Theorem, we have:
P(A|B) = P(A) * P(B|A) / P(B)
Bayes' theorem is a mathematical formula used in probability theory to calculate the probability of an event based on prior knowledge of conditions that might be related to the event.
It states that the conditional probability of an event A given event B is equal to the product of the probability of event B and the conditional probability of event A given event B, divided by the probability of event B. The formula is represented as P(A|B) = P(B|A) * P(A) / P(B).
Where:
P(A) = 1/500 (probability of having the disease)
P(B|A) = 0.95 (probability of a correct positive result given that the individual has the disease)
P(B) = P(B|A) * P(A) + P(B|A') * P(A') (probability of a positive test result)
= 0.95 * 1/500 + 0.01 * 499/500 (probability of a false positive result given that the individual does not have the disease)
Plugging in the values, we have:
P(A|B) = (1/500) * 0.95 / [0.95 * 1/500 + 0.01 * 499/500] = 0.16 or 16%
Therefore, there is a 16% probability that the individual actually had the disease given a positive test result.
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2. f(8) if f(x) = x + 11
\(f(8)=8+11=19\)
Select all of the following diseases that can be caused by tobacco. asthma asthma esophageal cancer esophageal cancer mouth cancer mouth cancer liver cancer liver cancer emphysema
Tobacco use is linked to several diseases, including asthma, esophageal cancer, mouth cancer, liver cancer, and emphysema.
Tobacco use is a major public health concern due to its association with various diseases. By exploring the diseases linked to tobacco use, we can raise awareness about the harmful effects of tobacco and promote healthier choices.
Asthma: Tobacco smoke contains numerous harmful chemicals that can trigger or worsen asthma symptoms.
Esophageal Cancer: Tobacco use, especially smoking and smokeless tobacco, significantly increases the risk of developing esophageal cancer.
Mouth Cancer: Smoking and smokeless tobacco use are major risk factors for oral cancers, including cancers of the mouth, tongue, lips, and throat.
Liver Cancer: Although primarily associated with alcohol consumption, tobacco use also contributes to the development of liver cancer.
Emphysema: Emphysema is a progressive lung disease characterized by the destruction of lung tissue and impaired breathing.
The association between tobacco use and diseases such as asthma, esophageal cancer, mouth cancer, liver cancer, and emphysema highlights the urgent need for individuals to quit or avoid tobacco use.
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a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?
According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.
The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.
Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.
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Graph the line that passes through the points (2,8) and (-5,8) and determine the equation of the line.
Answer: y=7
Step-by-step explanation:
First, graph the points, and you get a horizontal line. You see that the line is on the Y-Axis, and hits the y-axis at (0,7). Since it is horizontal, you get y=7
What does the y-intercept represent in this scenario?
Answer:
The y-intercept represents the temperature at the start, before any time has passed.
In the scenario, y intercept represents the temperature which starts from 8 °F.
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
In the given graph,
x-axis shows time in hours,
And y-axis shows temperature in Fahrenheit.
Since, the y-intercepts shows the value where x=0, or the values of y-axis.
In the given graph,
The y-axis shows the temperature.
Therefore, y intercept represents the temperature which starts from 8 °F.
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Max's Market sells 6 eggs for £1.86.
Groceries Galore sells 8 eggs for £2.56.
Fancy Foodstuffs sells 12 eggs for £3.48.
Which shop's price per egg is better?
Answer:
fancy foodstuff .29 per eggs
Step-by-step explanation:
max's market .31 per eggs
galore .32 per eggs
fancy foodstuff .29 per eggs
I need help or I’m going to fail math please help.
Answer:
The answers are in the pictures
Step-by-step explanation:
I can't type all of them 'cause it's much
Answer:
1. a. x= 18°
sum of interior angles is = 180°, so, to get x, = 2.5x + 4.5x + 3x = 180°
2.5x = 45
4.5x = 81
3x = 54
2. a. x = 75°
x - 10 = 65
x-35 = 40
x = 75
use the concept in number one.
3. a. x = 25
the two opposite interior angles add up to the exterior angle . so,
4x + 55 = x + 130
like terms together then simplify to get x as 25
so 4x = 100°
x + 130 = 155°
4. ∠2 = 180 - (38+34) = 108°
∠5 = 180 - (38+74) = 68°
∠6 = 74 + 38 = 112°
hope you understand now.
Find the inverse of each function.
The inverse of the function (1/2)^x/3
Given function,
y = 3\(log_{1/2}\) x
Now,
y = 3\(log_{1/2}\) x
Let y = f(x)
then,
x = \(f^{-1} (y)\)
Now put \(f^{-1} (y)\) in the place of x,
y = 3\(log_{1/2}\) \(f^{-1} (y)\)
Simplifying,
y/3 = \(log_{1/2} f^{-1} (y)\)
\(f^{-1} (y) = 1/2^{y/3}\\\)
Replace y variable with x,
\(f^{-1} (x)\) = \((1/2)^{x/3}\)
Hence the inverse of function is \((1/2)^{x/3}\) .
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i really need to know what -50y+14z+8y is please
Answer:
- 42 y + 14 z
Step-by-step explanation:
I need help
Solving this problem
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
An architect drew a 12 inch line to represent the length of a 30-foot room. If the line that represents the width of the room is 8 inches long, how wide is the actual room?
Answer:
20 foot
Step-by-step explanation:
12i=30f
So
2i=5f (divide both sides by 6)
So
8i=20f (multiply both sides by 4)
Answer:
20 feet
Step-by-step explanation:
12/30 = 8/x
(8 * 30/ 12 = 20
bill won 50 lollipops playing the bean bag toss at the country fair. at school he gave three to every student in his math class. he only has 2 remaining. how many students are in his class?
Answer:
16 kids
Step-by-step explanation:
50-2=48
48/3=16
-3(-3-(-2^0)(-2)(-2)-(-3))
Answer:
−12
Step-by-step explanation:
To solve this expression, we need to use the order of operations. The order of operations is a set of rules that dictate the sequence in which operations should be performed in a mathematical expression. The order of operations is often abbreviated using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
3. A linear quadrupole is a series of three charges in a line, in this case, along the z-axis. Consider charges +Q at z=±D and charge −2Q at z=0. Find an exact expressoin for the electrostatic potential at a point P in the x,y-plane at a distance r from the center of the quadrupole. (Hint: it may be easier to find V(x) on the x axis and then use symmetry to argue that you can switch from x to r.)
The exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].
Let's consider that three charges are placed in a straight line along the z-axis, and the charges are +Q on z=+D, -Q on z=-D, and -2Q at z=0.
To find the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole, let's proceed with the following steps:
To find the electrostatic potential at a point P in the x-axis, we need to consider that the distance from the charges that are on the axis is r, and the distance from the charges that are on the axis and are at +D and -D is d.
The distance from the charges on the axis and at 0 is x. Now we can write,
V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D].
Now, we can substitute the values in the above expression and obtain,
V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D] .
Now, we need to use symmetry to argue that we can switch from x to r, which is given by r2 = x2 + y2.
Thus, the exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].
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You run a local bakery. You know from experience that muffin sales can be represented by a normal distribution with mean 40 and standard deviation 6. Today you bake 46 muffins. What is the probability you run out of muffins today
The probability of running out of muffins today can be calculated by finding the area under the normal distribution curve beyond the quantity of muffins baked, which is 46 in this case.
In order to determine the probability of running out of muffins, we need to calculate the area under the normal distribution curve beyond the quantity of muffins baked, which is 46. The mean of the distribution is 40, indicating that, on average, 40 muffins are sold each day. The standard deviation is 6, representing the typical variability in daily muffin sales.
To calculate the probability, we need to find the area under the normal curve beyond 46. Since the normal distribution is symmetrical, we can calculate the area beyond 46 by finding the area to the left of 46 and subtracting it from 1.
Using the properties of the standard normal distribution, we can standardize the value of 46 by subtracting the mean (40) and dividing by the standard deviation (6). This standardization process gives us a z-score of 1.
Next, we can consult a standard normal distribution table or use statistical software to find the area to the left of 1, which corresponds to the probability of selling fewer than 46 muffins. Subtracting this value from 1 will give us the probability of running out of muffins today.
Please note that in order to generate an accurate probability, it's essential to assume that the sales of muffins follow a normal distribution and that there are no additional factors or circumstances that might affect the sales on this specific day.
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The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options.
The statements that are true regarding triangle XYZ are XZ = 9√2 and YZ = 9
Which statements regarding triangle XYZ are correct?from the question, we have the following parameters that can be used in our computation:
XY = 9 cm
Also, we have the right triangle
The acute angle in the triangle is 45 degrees
This means that
XY = YZ = 9
It also means that
XZ = XY√2
So, we have
XZ = 9√2
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true or false: control charts are used to determine whether special causes are operating. if no special causes are operating, then most of the output produced will meet specifications. variability due to common causes does not increase or decrease much over short periods of time. variability within the items sampled in a rational subgroup is due to special causes. if a process is in a state of statistical control, there will be almost no variation in the output.
False, it is not true that there will be almost no variation in the output if a process is in a state of statistical control.
A control chart is a statistical tool used to monitor process performance over time. The purpose of control charts is to determine whether special causes or common causes are operating in the process.
Control charts are used to determine whether special causes or common causes are operating in a process.
If no special causes are operating and only common causes are present, then most of the output produced will still have some variability and may not meet specifications.
Variability due to common causes can vary over time, but they tend to remain consistent over longer periods of time.
Variability within the items sampled in a rational subgroup is often due to both special causes and common causes.
If a process is in a state of statistical control, there will still be some variation in the output, but it will be predictable and consistent over time.
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You ride your bike up a steep mountain road at 5 miles per hour. How far do you go in 3 hours? Student solution: 5\div 3=1.75÷3=1.7. I ride 1.7 miles.
Answer:
15
Step-by-step explanation:
5x3 = 15 It's Simple Hope it helps
the operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,641 miles, with a variance of 14,561,860 . what is the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct? round your answer to four decimal places.
The probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
We can use the central limit theorem to approximate the distribution of the sample mean. According to the central limit theorem, if the sample size is sufficiently large, the distribution of the sample mean will be approximately normal with a mean of 30,641 and a standard deviation of sqrt(variance/sample size).
So, we have:
mean = 30,641
variance = 14,561,860
sample size = 242
standard deviation = sqrt(variance/sample size) = sqrt(14,561,860/242) = 635.14
Now, we need to calculate the z-score corresponding to a sample mean of 31,358 miles:
z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
= (31,358 - 30,641) / (635.14 / sqrt(242))
= 2.43
Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than 2.43. The probability is approximately 0.9925.
Therefore, the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).
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Enter a number, if necessary, rounded to three decimals. A rectangular field's perimeter is 116 yards with one side that measures 27 yards. The sides of a square field with the same area as the rectangular field measure ... yards.
Let's start by finding the length and width of the rectangular field. Let's call the width of the rectangular field "w" and the length "l."
We know that the perimeter (P) of a rectangle is given by:
P = 2l + 2w
And we know that the perimeter of this particular rectangular field is 116 yards. So we can write:
116 = 2l + 2w
We also know that one side of the rectangular field measures 27 yards. Let's assume that this is the length of the field (l), so we can write:
l = 27
Substituting this value into the equation for the perimeter, we get:
116 = 2(27) + 2w
Simplifying:
116 = 54 + 2w
2w = 62
w = 31
So the width of the rectangular field is 31 yards.
The area (A) of a rectangle is given by:
A = l*w
So the area of the rectangular field is:
A = 27*31 = 837
Now we need to find the sides of a square field with the same area as the rectangular field. The area of a square (A_s) is given by:
A_s = s^2
Where s is the length of one side of the square. We know that the area of the square is the same as the area of the rectangular field, so we can write:
A_s = A
s^2 = 837
s = sqrt(837) ≈ 28.948
Rounded to three decimals, the sides of the square field measure approximately 28.948 yards.
The sides of the square field measure approximately 29 yards.
Let the other side of the rectangular field be denoted by x. Since the perimeter of the rectangular field is 116 yards, we have:
2x + 2(27) = 116
2x + 54 = 116
2x = 62
x = 31
So the rectangular field has sides of length 27 and 31, and its area is:
A = 27 × 31 = 837
The area of the square field with the same area as the rectangular field is also 837, so its side length s satisfies:
s^2 = 837
Taking the square root of both sides, we get:
s ≈ 28.997
Rounding to three decimal places, we get s ≈ 29.
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