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AnnyKZ [126]
3 years ago
13

A doctor wants to know if her patients are happy with her. She decides to survey a sample of her clients. What method would be b

est for choosing a random sample that is a fair representation of her patients?
Mathematics
2 answers:
Leokris [45]3 years ago
8 0
The method should be to a<span>ssign numbers to each patient and then use a random number generator to choose one hundred patients to survey. </span>
Rudik [331]3 years ago
7 0

Answer:

A doctor wants to know if her patients are happy with her. She decides to survey a sample of her clients.

To choose a random sample from her patient list, she must choose the patients randomly. For this she can assign numbers to her patients like 1 to 300 and then randomly draw numbers from the list either by herself or by number generator. She can choose 30 to 40 percent of her patients randomly for conducting this survey.

This type of random selection is completely random and non biased.

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Find the area of the circle given the following information. Give the exact answer and an approximation to the nearest tenth.
MAVERICK [17]

Answer:

Pi R square

so 36*3.14= 113.4

                 = 110in Square

6 0
3 years ago
Read 2 more answers
What is the square root of m^6?
Nastasia [14]
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3

==============================

Explanation:

There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative. 

---------------------------

A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative

sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative

------------------------------

If we allow m to be negative, then the final result would be either |m^3| or |m|^3. 

The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.

Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2

4 0
3 years ago
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3 years ago
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Geometry math question no Guessing and Please show work
egoroff_w [7]

\frac{5.5+12.1}{2}=\frac{17.6}{2}=8.8

7 0
3 years ago
Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list.
aleksandr82 [10.1K]

Answer:

  23.20°, 71.57°, 85.24°

Step-by-step explanation:

The angle between two vectors can be found by making use of the definition of the dot product. The computed angle is the angle between the  vectors when they are placed tail-to-tail.

__

<h3>setup</h3>

<u>vector definition</u>

The second attachment shows the given points plotted as A, B, C in the order given. In the diagram, the vectors <em>a</em>, <em>b</em>, <em>c</em> are defined as BA, CB, AC, respectively. That is, the vector <em>a</em> is ...

  <em>a</em> = A -B = (-6, -9) -(2, 7) = (-6-2, -9-7) = (-8, -16)

The vectors are defined in counterclockwise order around the triangle, though that makes no difference to the calculation.

<u>dot product definition</u>

The definition of the dot product of vectors A and B is ...

  A·B = |A|×|B|×cos(θ) . . . . . where θ is the angle between the vectors

Solving for the angle, we find it to be ...

  \theta=\arccos\left(\dfrac{\vec{A}\cdot\vec{B}}{|\vec{A}|\,|\vec{B}|}\right)

__

<h3>computation</h3>

Because of the way the vectors in this solution are defined, the angle between any given pair of vectors will be an <em>exterior</em> angle of the triangle. In order to find the measure of the <em>interior</em> angle, we must reverse one of the vectors. That is, the dot product used in our computation will be the <em>opposite of the dot product</em> of the vectors we have found.

The spreadsheet shown in the first attachment does the necessary computations.

  • Each vector is the difference of successive points. (x1 -x2, y1 -y2)
  • Each dot product shown is the opposite of the dot product of successive vectors. -(x1x2 +y1y2)
  • The magnitude is computed in the usual way: the root of the sum of the squares of the components of the vector. √(x²+y²)
  • The cosine is the dot product of successive vectors, divided by each of the vector magnitudes.
  • The spreadsheet shows the angle in degrees, having converted it from the radian value produced by the ACOS function.

As a check, the spreadsheet shows the sum of the angle values. (The rounded values add up to 180.01°.)

The interior angles of the triangle are 23.20°, 71.57°, 85.24°.

_____

<em>Additional comment</em>

Another way to find the interior angles from coordinates is to consider the slope of each side of the triangle as being the tangent of the angle it makes with the x-axis. The difference of these angles can be used to find the interior angles of the triangle. Less work is involved because there is no dot-product or magnitude computation.

7 0
2 years ago
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