A set of data with 100 observations has a mean of 267. There are six outliners in the data set, which have a mean of 688 if the six outliners are removed, what is the mean of the new data set?
Answers
Answer:
272.04
Step-by-step explanation:
We must make a weighted average, as follows:
Each mean will have its weight, which would be the number of observations, therefore, the initial mean has a weight of 100.
And the final mean that we do not know its value but if its 94 (100 - 6) and the other mean that it is 688 and its weight is 6, we have the following equality:
100 * 297 = 688 * 6 + 94 * x
x would be the final mean, solving:
x = (29700 - 4128) / 94
x = 272.04
average after removing those 6 is 272.04
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4 x 5 = 20 + 2 = 22/5
Answer: 22 over 5 or 22/5
Answers
Answer:
coordinates of y- intercept = (0, 19 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x + 19 ← is in slope- intercept form
with slope m = 6 and y- intercept c = 19 or in coordinate form (0, 19 )
please help
Answers
Final answer:
The quadratic expressions in vertex form are (a) (x-1)²+10 and (c) (x-5)². These expressions follow the form a*(x-h)² + k, which is the standard form for a quadratic equation in vertex form.
Explanation:
The question asks to select all the quadratic expressions in vertex form. The vertex form of a quadratic equation is given by a*(x-h)² + k. Here, (h, k) is the vertex of the parabola. Let's examine the given options:
- (a) (x-1)²+10: The expression can be rewritten as 1*(x-1)² + 10, which is in vertex form.
- (b) (x-5)(x-4): This is not in vertex form, it is a factored form of quadratic equation.
- (c) (x-5)²: This is in vertex form with a = 1, h = 5 and k = 0.
- (d) x²-4x+4: This is standard form, not vertex form.
- (e) x(x-4): This is not in vertex form, it is a factored form of quadratic equation.
So, the quadratic expressions in vertex form are options (a) (x-1)²+10 and (c) (x-5)².
Learn more about Vertex Form here:
Complete question:
Select all of the quadratic expressions in vertex form
a) (x-1)²+10
b) (x-5)(x-4)
c) (x-5)²
d) x²-4x+4
e) x(x-4)
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Final answer:
The quadratic expressions in vertex form in the given options are (x-1)^2+10 and (x-5)^2. The vertex form of a quadratic expression is a*(x-h)^2 + k, where a, h, and k are constants.
Explanation:
The quadratic expressions in vertex form among the given options are a) (x-1)^2+10 and c) (x-5)^2. In general, a quadratic expression is in vertex form if it is written as a*(x-h)^2 + k, where a, h, and k are constants, and h and k represent the vertex of the parabola.
In other words, the vertex form provides an efficient way to identify the vertex of a parabola, as represented by a quadratic equation, and provides the easiest way to graph such an equation. The other expressions b) (x-5)(x-4), d) x^2-4x+4, and e) x(x-4) are not in vertex form.
Learn more about Quadratic expressions here:
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Answers
50X = .25 + 40X
10X = .25
X = .25/10 = .025 hr
.025 hr x 60 min/1hr = 1.5 minutes
PLEASE help me will mark BRAINLIEST
Make sure you make a new and hard paper
Make at least 20 more mcqs
Answers
The exam carefully to avoid errors and ensure that the questions are clear and concise.
I have the ability to create a completely new and unique exam. However, I can provide some general tips and guidelines for creating a challenging and comprehensive exam:
Balance the difficulty level: Make sure that the exam includes a mix of easy, medium, and difficult questions. This will ensure that students of all levels are challenged, and that you are able to accurately assess their knowledge and understanding.
Cover all topics: Include questions from all the topics covered in the course. This will ensure that students are tested on their overall understanding of the subject matter, and not just on certain areas.
Use different types of questions: Use a variety of question types, such as multiple choice, true/false, short answer, and essay questions. This will help you assess different skills, such as recall, analysis, and critical thinking.
Avoid trick questions: Make sure that the questions are clear and unambiguous. Avoid using trick questions or language that is confusing or misleading.
Test application of knowledge: Include questions that require students to apply their knowledge to real-life scenarios or problems. This will help you assess their ability to use what they have learned in practical situations.
Use a variety of sources: Draw questions from different sources, such as textbooks, class lectures, and online resources. This will ensure that the questions are diverse and not biased towards any one source.
Proofread and edit: Finally, make sure to proofread and edit the exam carefully to avoid errors and ensure that the questions are clear and concise.
Learn more about errors here
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2 sq. units
8 sq. units
4 sq. units
16 sq. units
Answers
Answer:
4 sq. units
Step-by-step explanation:
Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.
We can see that for this polygon, opposite sides are parallel and equal to each other.
To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:
The length is the distance between (1, 2) and (3, 2):
The breadth is the distance between (3, 2) and (3, 0):
Since length = breadth, hence this is a square.
Area= length * breadth = 2 * 2 = 4 sq. units