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Serjik [45]
3 years ago
8

Out of a group of 30 volunteers, 14 people are chosen to participate in a survey about the number of hours of television they wa

tch each week. What is the sample in this situation? ​ ​
Mathematics
1 answer:
Cloud [144]3 years ago
5 0

Answer:

14 people

Step-by-step explanation:

- A sample is defined as a set of objects or people selected by a given criteria to be studied.

-The sample's elements are unknown pre-study.

-In this case the group of 30 is the population and the 14 people is the sample.

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How can you solve a rational equation without graphing?
KiRa [710]

Answer:

To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:

x2 – 6x + 8 = (x – 4)(x – 2)

The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)

Step-by-step explanation:

4 0
3 years ago
Explain the steps necessary to convert a quadratic function in standard form to vertex form
SIZIF [17.4K]

Answer:

See below.

Step-by-step explanation:

Here's an example to illustrate the method:

f(x) = 3x^2 - 6x + 10

First divide the first 2 terms by the coefficient of x^2 , which is 3:

= 3(x^2 - 2x) + 10

Now  divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form

(x - b/2)^2 - b/2)^2  (where b = 2) , which will be equal to x^2 - 2x in a different form.

= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x  + 1^2  and we have to make it equal to x^2 - 2x)

= 3 [(x - 1)^2 -1 ] + 10

= 3(x - 1)^2 - 3 + 10

= <u>3(x - 1)^2 + 7 </u><------- Vertex form.

In general form the vertex form of:

ax^2 + bx + c  = a [(x - b/2a)^2 - (b/2a)^2] + c .

This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.

3 0
2 years ago
Read 2 more answers
Bruce has a bottle with 60% lemon juice and the rest water.
Dimas [21]
The percent of water would be 40%
3 0
2 years ago
An expression is shown below.<br> (3)(x<br> What is the product of the two factors?
Reika [66]

Answer:

3x

Step-by-step explanation:

3 . x is 3x

7 0
2 years ago
The weight of a rock sample is measured to be 2.5 pounds. What is the percent of error in the measurement? 2% 5% 10%
elixir [45]

Answer:

The percent of error in the measurement is 2%

Step-by-step explanation:

The percent of error associated with a reported measurement is calculate using the formula;

percenterror=\frac{error}{measurement}*100

The error associated with a measurement is defined as half of the smallest unit of measurement used. The measurement reported was 2.5. The smallest unit of measurement for this reading is 0.1. The error is thus;

error = 0.1/2 = 0.05

The percent of error is thus;

\frac{0.05}{2.5}*100=2

 

6 0
2 years ago
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