Answer:
20 vegetable plants
Step-by-step explanation:
We must multiply the 40% (representing the amount of vegetable plants) by 50 (the total number of plants) to get 20 vegetable plants.
Alternatively, you could do 50 - (50 * 60%).
In one month, Jillian made 36 local phone calls and 20 long distance calls.
What was her ratio of local calls to long distance calls for that month?
A. 2:1
B. 3:2
C. 9:4
D. 9:5
Answer:
D.
Step-by-step explanation:
Because 36:20 simplified is 9:5.
Answer:
It is D 9:5
Step-by-step explanation:
Beacuse 9x4= 36
and 5x4= 20
so 36:20 or 9:5
Select all of the statements that are true for the given parabola
Answer: Please provide statements.
Step-by-step explanation:
Answer:
The maximum is (-1, 6).
The line of symmetry is x = -1.
Step-by-step explanation:
those two
Albert is overweight by 25 pounds and is very serious about reducing his body weight from 200 pounds down to 175 and a healthier BMI of 22 . He currently is sedentary, is consuming an average 3,600 calories per day, and is still gaining weight. You may assume that he needs 15 calories per pound body weight to maintain his current weight. Using the information presented in the text, develop a weight loss program for Albert. Upload to Blackboard in a Word document: (1) Calculate an appropriate rate of weight loss per week and how long it will take Albert to lose it. (2) Based on your calculation, determine the daily caloric deficit needed to achieve his goal. (3) The caloric deficit should incorporate reduced caloric energy intake and increased caloric energy expenditure through your recommenteram (in other words design an exercise program for at least one week).
Albert, weighing 200 pounds and desiring to reach a healthier weight of 175 pounds with a BMI of 22, requires a weight loss program.
By calculating his appropriate rate of weight loss per week, it is determined that a safe and realistic goal is to lose 1-2 pounds per week. To achieve this, Albert needs a daily caloric deficit of 500-1000 calories. This deficit can be achieved by combining reduced caloric intake and increased energy expenditure through exercise.
To calculate an appropriate rate of weight loss per week, it is generally recommended to aim for a loss of 1-2 pounds. Therefore, Albert should aim to lose 1-2 pounds per week. Since there are approximately 3,500 calories in one pound of body weight, to lose 1 pound per week, Albert needs to create a calorie deficit of 500 calories per day (500 calories x 7 days = 3,500 calories). Similarly, to lose 2 pounds per week, he needs a calorie deficit of 1,000 calories per day.
Next, to achieve the required daily caloric deficit, Albert should modify both his caloric intake and increase his energy expenditure through exercise. Since he currently consumes an average of 3,600 calories per day and wants to reach a goal weight of 175 pounds, he should aim for a caloric intake of 15 calories per pound of body weight. Therefore, his target daily caloric intake should be around 2,625 calories (175 pounds x 15 calories per pound).
To achieve the necessary daily caloric deficit, Albert can start by reducing his caloric intake to 2,125-2,625 calories per day, depending on whether he aims to lose 1 or 2 pounds per week. He should focus on consuming nutrient-dense foods that are lower in calories and provide essential nutrients. Additionally, incorporating regular exercise into his routine will help him increase his energy expenditure. Albert should aim for at least 150 minutes of moderate-intensity aerobic activity, such as brisk walking, or 75 minutes of vigorous-intensity aerobic activity, such as running, per week. He can also include strength training exercises to build muscle and boost his metabolism.
By following this weight loss program, with a target caloric deficit of 500-1000 calories per day and a combination of reduced caloric intake and increased energy expenditure through exercise, Albert can gradually and safely achieve his goal of reducing his weight from 200 pounds to 175 pounds while aiming for a healthier BMI of 22. The time required to achieve this goal will depend on his individual body and adherence to the program, but a realistic estimate would be approximately 12-24 weeks.
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Frank Pianki, the manager of an organic yogurt processing plant desires a quality specification with a mean of 16.0 ounces, an upper specification limit of 16.5 ounces, and a lower specification limit of 15.5 ounces. The process has a mean of 16.0 ounces and a standard deviation of 1 ounce. The process capability index (C
pk
)= (round your response to three decimal places).
Answer:
To three decimal places, The process capability index is 0.167
Step-by-step explanation:
We have to find the process capability index,
Upper specification = 16.5 ounces,
Lowe specification = 15.5 ounces
Mean = 16.0 ounces
Standard Deviation = S = 1 ounce
process capability index = (upper specification - lower specification)/6S
process capability index = (16.5 - 15.5)/6(1)
= 1/6
Process capability index = 1/6 = 0.16666667
To 3 decimal places, we get,
Process capability index = 0.167
least to greatest 8/9 6/9 5/9 7/9
Answer:
5/9 6/9 7/9 8/9
the value of the expression 4^-2 x 4^5 is.....
The value of the mathematical expression 4⁻² x 4⁵ will be 64.
What is a mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mathematical expression is,
⇒ 4⁻² x 4⁵
Now,
Solve the expression as;
⇒ 4⁻² x 4⁵
By apply the rule of exponent, we get;
⇒ 4⁻² ⁺ ⁵
⇒ 4³
⇒ 4 x 4 x 4
⇒ 64
Therefore, The value of the mathematical expression 4⁻² x 4⁵ will be 64.
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A bag contains 4 black tiles, 5 white tiles, and 6 blue tiles. event a is defined as drawing a black tile from the bag on the first draw, and event b is defined as drawing a white tile on the second draw. if two tiles are drawn from the bag, one after the other without replacement, what is p(a and b) expressed in simplest form?
P(A and B) expressed in the simplest form is (B) 2/21.
What is probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.To express P(A and B) in the simplest form:
P(A and B) means that you need to multiply the two probabilities together since both A and B need to happen. The probability of drawing a black tile on the first draw is 4/15 since there are 15 total tiles and 4 of those are black. On the second draw, the bag is already missing a tile, and there are therefore 14 tiles remaining. For the second one, the probability is 5/14, since there are 14 total tiles and 5 of them are white. Multiplying these two together, we get 4/15 × 5/14 = 20 / 210 = 2/21.Therefore, P(A and B) expressed in the simplest form is (B) 2/21.
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The complete question is given below:
A bag contains 4 black tiles, 5 white tiles, and 6 blue tiles. Event A is defined as drawing a black tile from the bag on the first draw, and event B is defined as drawing a white tile on the second draw.
If two tiles are drawn from the bag, one after the other without replacement, what is P(A and B) expressed in the simplest form?
A. 4/45
B. 2/21
C. 4/15
D. 5/14
PLEASE HELP IM STUCK PLS
Answer: (8,0) and (0,-4)
Step-by-step explanation:
The x-intercept of an equation is when the equation touches the x-axis which is also where y = 0
So the x coordinate of the x-intercept is -2x + 0 = -16 as y = 0
x = 8 so the x-intercept is (8,0)
The y-intercept of an equation is when the equation touches the y-axis which is also where x = 0
So the y coordinate of the y-intercept is 0 + 4y = -16 as x = 0
y = -4 so the y intercept is (0,-4)
Please help if this doesn’t make sense i added picture A coffee pot holds 6 quarts of coffee. How much is this in cups?
Use the table below. Include the correct unit in your answer.
Volume
Unit
Symbol
Fact
fluid ounce
fl oz
cup
с
1 c = 8 fl oz
pint
pt
1 pt = 20
quart
gt
1 qt = 2 pt
gallon
gal
1 gal = 4 qt
fl oz
с
pt
of
gal
I Don't Know
Submit
50 Points: Name the similar triangles & Prove the similarity with details
Let's consider the facts at hand:
By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF∠BEC = ∠DFCSides BE = DFBased on the diagram, triangles BCE and triangles DCF are similar
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
Definitions of Theorem I used:
Vertical Angle Theorem: opposite angles of two intersecting lines must be equalAngle-Angle Theorem: if two angles of both triangles are equal, then the given triangles must be similar
a) Copy and complete the table below for the graph of
y = 2z.
I
Y
-2 -1
-4-2
-2
0
A
3
2
11
b) The lines y = x and y = 2x are shown on the axis
below.
Write down one similarity and one difference between
these lines.
43217
-2
--3-
124
5
2
B
y=2z_y=z
The table for the graph is
x -2 -1 0 1 2
y -4 -2 0 2 4
The similarity is: Both lines have positive slopes
The difference is: Both lines have different slopes
Completing the table for the graph
From the question, we have the following parameters that can be used in our computation:
y = 2x
The missing y values are at x = 0 and x = 2
So, we have
y = 2 * 0 = 0
y = 2 * 2 = 4
The similarity and difference between the linesWe have
y = x
y = 2x
From the above, the similarity is:
Both lines have positive slopes
And, we have the difference to be
Both lines have different slopes
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you asked eight of your classmates the score they received on the last statistics exam. the average of these eight scores was found to be 65. on the basis of this information, you stated that the average test score for the entire class was less than 70. this is an example of what major branch of statistics?
The major branch of statistics that deals with making inferences about a population based on a sample is called inferential statistics.
In this scenario, you collected data from a sample of eight classmates and calculated the average score to be 65.
Based on this sample, you made an inference about the entire class, stating that the average test score for the whole class was less than 70. This inference is an example of using inferential statistics. Inferential statistics allows us to draw conclusions and make predictions about a larger population based on a smaller sample.
By using statistical techniques and assumptions, we can estimate parameters, such as the population mean, using sample statistics. This helps us make informed decisions and generalizations about a population when it is not feasible or practical to collect data from the entire population.
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For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
A drug test for athletes has a 4 percent false positive rate and a 12 percent false negative rate. Of the athletes tested, 5 percent have actually been using the prohibited drug. If an athlete tests positive, what is the probability that the athlete has actually been using the prohibited drug
The probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.
How to find the probability and the application of Bayes' theorem to calculate the probability?To solve this problem, we can use Bayes' theorem, which relates the conditional probabilities of two events.
Let A be the event that the athlete has been using the prohibited drug, and let B be the event that the athlete tests positive.
We want to find the probability of A given B, which we can write as P(A | B).
Using Bayes' theorem, we have:
P(A | B) = P(B | A) * \(\frac{P(A) }{P(B)}\)
where P(B | A) is the probability of testing positive given that the athlete has been using the prohibited drug, P(A) is the prior probability of the athlete using the prohibited drug, and P(B) is the overall probability of testing positive, which can be calculated using the law of total probability:
P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)
where P(B | not A) is the probability of testing positive given that the athlete has not been using the prohibited drug, and P(not A) is the complement of P(A), i.e., the probability that the athlete has not been using the prohibited drug.
Using the given information, we can plug in the values:
P(B | A) = 1 - 0.12 = 0.88 (probability of testing positive given the athlete is using the drug)
P(A) = 0.05 (prior probability of the athlete using the drug)
P(B | not A) = 0.04 (probability of testing positive given the athlete is not using the drug)
P(not A) = 1 - P(A) = 0.95 (probability that the athlete is not using the drug)
Then, we can calculate P(B) as:
P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)
= 0.88 * 0.05 + 0.04 * 0.95
= 0.076
Finally, we can calculate P(A | B) as:
P(A | B) = P(B | A) * \(\frac{P(A) }{ P(B)}\)
= 0.88 * \(\frac{0.05 }{ 0.076}\)
= 0.5789
Therefore, the probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.
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(782,248 * 1.2%)*10
help me please
Answer: 93869.76
Step-by-step explanation:
hope it helps
Answer:
Step-by-step explanation:
a spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm. what is the possible change in volume? use differential to estimate the error when computing the volume.
The possible change in volume (in mm3) resulting from the error in measuring the radius is 32. 06 mm³
Given,
A spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm
How to determine the volume
The formula for volume of a sphere is expressed by;
Volume = 4/3 πr³
Where;
r is the radius of the sphere
pi takes the value 3.14
From the information given, we have that the measured radius is 5 mm, with a possible measurement error of 0.1 mm
Then, radius a = 5mm
Radius b = 5 + 0. 1 = 5. 01mm
Now, substitute the values into the formula
Volume, v = 4/ 3 (3.14)(5)³
v = 4/ 3 (392.5)
v = 523. 3 mm³
For radius of 5.01mm
Volume = 4/ 3 (3.14)(5.1)³
expand the bracket
Volume = 4/3 (416.52)
Volume = 555. 4 mm³
The change in volume = 555. 4 - 523. 3 = 32. 06 mm³
Hence, the change in volume is 32. 06 mm³
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Find the value of 3y +8 given that -2y+6=2.
Simplify your answer as much as possible.
It is assumed that the average Triglycerides levet in a healthy person is 130 unit. In a sample of 30 patients, the sample mean of Triglycerides level is 122 and the sample standard deviation is 20. Calculate the test statistic value
The test statistic value for this situation is approximately -2.474.
A hypothesis test comparing the sample mean to the assumed population mean is necessary in order to determine the value of the test statistic. The population mean triglycerides level would be the null hypothesis (H0), and the alternative hypothesis (Ha) would be that the population mean is not 130 units.
The t-statistic, which is calculated as follows, is the test statistic utilized in this circumstance:
t = (test mean - expected populace mean)/(test standard deviation/sqrt(sample size))
Given the data gave, we have:
Expected populace mean (μ): 130 Mean of the sample (x): 122
Test standard deviation (s): 20 (n) sample sizes: 30
Connecting the qualities into the recipe, we can work out the test measurement:
t = (122 - 130) / (20 / sqrt(30)) t = -8 / (20 / sqrt(30)) After calculating this expression, we come to the following conclusion:
t ≈ - 2.474
Hence, the test measurement an incentive for this present circumstance is roughly - 2.474.
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A dilation with a scale factor of 4 makes the scale copy...
Answer:
16
Step-by-step explanation:
Answer:
25 times
Step-by-step explanation:
Scale factor is the ratio of dimensions of the image and the preimage.
Scale factor =
Since area of a figure is the square of dimensions.
Area = Length × Width
Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.
Area scale factor =
= (Scale factor)²
= 4²
= 16
Therefore, area of the image will be 16 times the area of the preimage.
how do you find the perimeter of an isosceles trapezoid
the formula for the perimeter (P) of an isosceles trapezoid is:
P = 2 * (base1 + base2) + leg1 + leg2
To find the perimeter of an isosceles trapezoid, follow these steps:
1. Identify the given measurements: In an isosceles trapezoid, know the lengths of the two parallel sides (the bases) and the two non-parallel sides (the legs).
2. Add the lengths of the bases: Add the lengths of the two parallel sides (bases) of the trapezoid.
3. Multiply the sum by 2: Multiply the sum from step 2 by 2 to account for both sides of the trapezoid.
4. Add the lengths of the legs: Add the lengths of the two non-parallel sides (legs) of the trapezoid.
5. Add the results: Add the results from steps 3 and 4 to find the perimeter of the isosceles trapezoid.
Mathematically, the formula for the perimeter (P) of an isosceles trapezoid is:
P = 2 * (base1 + base2) + leg1 + leg2
Alternatively, know the lengths of all four sides of the trapezoid, simply add them together to find the perimeter.
Keep in mind that the measurements used in the formula should be in the same unit (e.g., centimetres, inches) for accurate results.
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Answer:
P = a + b + 2cStep-by-step explanation:
P = a + b + 2c
where a is the top, b is the bottom, and c is a leg of the trapezoid. The perimeter is the sum of the outer edge of the shape, so you just need to add the lengths of the sides.
If x = -2, what is the value of y, that makes the equation, y = 2x + 3, true? Explain how you know.
Answer:
Y is equals to negative 1.
Step-by-step explanation:
y = 2x + 3
y =2(-2)+ 3
y =-4+ 3
y=-1
convert 0.888 into a fraction (the 8 is repeating)
Answer: 8/9
Step-by-step explanation:
0.8888888 = 8/9
Plz see attachment below
Answer:
Step-by-step explanation:
Table I
Given function is,
f(x) = \(b^x\)
From the table attached,
For x = 0.827, value of function f(0.827) = 5,
f(0.827) = \(b^{0.827}\)
Therefore, \(b^{0.827}=5\)
\(\text{log}(b^{0.827})=\text{log}(5)\)
0.827[log(b)] = log(5)
log(b) = 0.8452
b = \(10^{0.8452}\)
b = 7
Therefore, function 'f' will be,
f(x) = \(7^x\)
For f(x) = 9,
9 = \(7^x\)
log(9) = log(\(7^x\))
log(9) = x[log(7)]
x = 1.129
Table II
Given function is g(x) = \(\text{log}_b(x)\)
From the given table,
For x = 7, g(x) = 1
1 = \(\text{log}_b(7)\)
\(b^1=7\)
b = 7
Therefore, the function 'g' will be,
g(x) = \(\text{log}_7(x)\)
For g(x) = 1.318
1.318 = \(\text{log}_7(x)\)
\(x=7^{1.318}\)
\(x=12.9968\)
\(x=13.997\)
____ : A straight line extending from the center of a circle or sphere to the circumference or surface
radius : A straight line extending from the center of a circle or sphere to the circumference or surface
In geometry, circles and spheres are two-dimensional and three-dimensional shapes, respectively, that possess unique characteristics. One important concept associated with circles and spheres is the notion of a line extending from their centers to their circumferences or surfaces. This line has a specific name and serves as a fundamental element in understanding these geometric shapes. In this detailed explanation, we will explore the term used to describe this line and delve into its significance.
The line extending from the center of a circle to its circumference, or from the center of a sphere to its surface, is called a "radius." The term "radius" refers to a straight line segment that connects the center of the circle or sphere to any point on its circumference or surface. It is important to note that the term "radius" is used exclusively when referring to circles and spheres and not to other shapes or objects.
Let's examine the properties and significance of the radius in both circles and spheres:
1. Circle:
In a circle, the radius is a fundamental element that defines the size and shape of the circle. It is the distance between the center of the circle and any point on its circumference. Notably, all radii of a circle are equal in length. In mathematical formulas and calculations involving circles, the radius is often denoted by the letter "r."
The radius plays a crucial role in determining various properties of the circle, including its area, circumference, and relationships with other geometric elements, such as chords and tangents.
2. Sphere:
In a sphere, which is a three-dimensional object analogous to a circle, the radius serves a similar purpose. It extends from the center of the sphere to any point on its surface. Like in a circle, all radii of a sphere are equal in length. In mathematical formulas and calculations involving spheres, the radius is typically denoted by the letter "r."
The radius of a sphere is essential in determining properties such as its volume, surface area, and relationships with other geometric elements like great circles or diameters.
The radius is a foundational concept in the study of circles and spheres. It provides a measure of distance from the center to the outer edge and is used in various mathematical calculations and geometric analyses. Moreover, the radius plays a crucial role in determining the symmetry, proportions, and relationships between different parts of circles and spheres.
It is worth mentioning that the concept of the radius is closely related to other geometric elements in circles and spheres. For instance, diameters are lines that pass through the center of a circle or sphere and have endpoints on the circumference or surface, respectively. The diameter is always twice the length of the radius. Additionally, chords are segments within a circle or sphere that connect any two points on the circumference or surface.
The radius bisects any chord that passes through the center, dividing it into two equal segments.
In conclusion, the line extending from the center of a circle to its circumference or from the center of a sphere to its surface is called a "radius." The radius is a fundamental element that defines the size, shape, and proportions of circles and spheres. It plays a crucial role in calculating various properties, such as area, circumference, volume, and surface area.
Understanding the concept of the radius is essential in geometry and provides insights into the symmetrical and proportional relationships within circles and spheres.
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Paula, lohn, Kelsie, and Eart found 6 quarters, 3 dimes, and 2 pennies in the laundry machine. They decide they will share the money
equally
Which expression can be used to figure out how much money each child will receive?
A)
4 x 1.52
B)
$1.82 x 4
$1.82 +4
D)
4 - $1.82
Answer:
1.82/4 i am gussing b
Step-by-step explanation:
Which of the following options best explains the following statement? Populations of a bird have different average bill sizes in different seasons.
a.disruptive selection
b.sexual selection
c.directional selection
d.Frequency dependent selection
The best option to explain the statement "Populations of a bird have different average bill sizes in different seasons" is c. directional selection.
Directional selection occurs when a particular trait in a population becomes more or less common over time due to selective pressures favoring individuals with extreme values of that trait. In this case, the bird population's average bill size changes in different seasons, indicating that there is a consistent trend or direction in the selection of bill sizes.
For example, let's say the bird population primarily feeds on a specific type of food during one season. If the size of the bills affects the bird's ability to efficiently gather that food, then birds with larger bills may be better adapted and have a higher survival rate during that season. As a result, the average bill size of the population may increase. In the next season, if the food source changes and favors birds with smaller bills, the average bill size may decrease.
Directional selection is characterized by a shift in the average value of a trait in a population over time. It does not necessarily result in extreme values of the trait, like in disruptive selection, or selection based on traits that increase the chance of mating, like in sexual selection. It is also different from frequency-dependent selection, where the fitness of a trait depends on its frequency relative to other traits in the population.
Therefore, c. directional selection best explains the variation in average bill sizes observed in different seasons in the bird populations.
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If you roll a standard number cube 42 times, how many times do you expect the cube to show a five?
Round your answer to the nearest whole number if needed.
Answer:
5
Step-by-step explanation:
this is probability
probability of 5 occuring once is = 5/42=0.119
therefore, probability of 5 occuring in 42 times is;
42 x 0.119=4.998
approximately 5
PLSS HELP ME CUS YES
Answer:
Angle g = 90°
Angle between x and G = 30°
Angle x= 180-(90+30)
= 180-120=60°
State whether the data described below are discrete or continuous, and explain why.
The movie ratings of a critic with possible ratings being 0 stars comma one half star comma 1 star comma and so onThe movie ratings of a critic with possible ratings being 0 stars, 1/2 star, 1 star, and so on up to 5 stars
The data described in the first statement, "The movie ratings of a critic with possible ratings being 0 stars, one-half star, 1 star, and so on," is discrete data.
Discrete data consists of distinct, separate values or categories that have gaps between them. In this case, the possible movie ratings are specifically defined as 0 stars, one-half star, 1 star, and so on. Each rating is a distinct category with no intermediate values or measurements. The ratings are not continuous and cannot take on any value within a range.
In contrast, continuous data represents measurements or values that can take on any value within a range or interval. For example, if the movie ratings were described as a continuous scale from 0 to 5 stars, where any fractional value within that range is possible, it would be considered continuous data.
Since the movie ratings in the given statement are defined as specific categories without any intermediate values, they are classified as discrete data.
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which one doesn’t belong?
come to your house to pick it lowest to go with D
Answer:
All of them have different answers so gonna say D because its only one number
Step-by-step explanation:
Hope this helps
sorry If its wrong