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Andru [333]
3 years ago
13

Solve and graph the inequalities 100x-200>50x-75

Mathematics
1 answer:
amid [387]3 years ago
5 0
100x - 200 > 50x - 75

100x - 50x > -75 + 200

50x > 125

x > 2,5

Good Luck
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Find the population mean or sample mean as indicated. Sample: 19, 15, 6, 11, 24 Compute the sample mean for this data set. Selec
yKpoI14uk [10]

Answer:

\overline{x}=15

Step-by-step explanation:

the mean is given by:

\overline{x} = \dfrac{\sum\limits_{i=1}^n x_i}{n} \quad\text{or}\quad \dfrac{\text{sum of all items}}{\text{number of items}}

In our case this is:

\overline{x} = \dfrac{19+15+6+11+24}{5} \Rightarrow \dfrac{75}{5}\\\\\overline{x} = 15\\\\

side note: the main difference between sample mean and population mean is in the 'context'. However, the method to calculate them is the same.

By context I mean: if this the items are taken from some larger category for example: the ages of a few 'students' from a 'class'. Here 'students' are the sample from a larger set that is 'class'. The mean of the 'few students' will be called sample mean. In contrast, if we take the mean of the ages of the whole class then this is called population mean. (population mean == mean of the whole set)

In our case we aren't told exactly where these numbers come from, is this the whole set or a sample from it, the lack of context allows us to assume that the mean can either be population mean or sample mean. So we can safely use any symbol \mu or \overline{x}.

3 0
3 years ago
Construct a truth table for the logical operator NOR.
Rasek [7]

Answer:

A   B   A NOR B

F   F        T

F   T        F

T   F        F

T   T        F

Step-by-step explanation:

The logical operator NOR produces a result that is the negation of the logical operator OR.

The truth table for the logical operator NOR can be obtained by the negation of the results of the truth table for the logical operator OR.

Let A and B be the the logical values (or inputs). The operator OR produces a value of true if and only if at least one operand is true. The truth table for OR is:

A   B   A OR B

F   F       F

F   T       T

T   F       T

T   T       T

So, the truth table for NOR is:

A   B   A NOR B

F   F        T

F   T        F

T   F        F

T   T        F

Notice that the negation of OR (which is NOR) is obtained by changing the F by T and the T by F in the column of the results.

This table can also be writen with 0 instead of False and 1 instead of True.

5 0
3 years ago
I need this Please help me
ANEK [815]

9514 1404 393

Answer:

  (c)  Not parallel: corresponding angles are not congruent

Step-by-step explanation:

The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.

4 0
3 years ago
Use the definition f ′(x) = h0f(x + h) - f(x)h to find the derivative. f(x)=x+2
NNADVOKAT [17]

Answer:

f'(x) = 1

General Formulas and Concepts:

<u>Calculus</u>

  • Limit Properties: \lim_{n \to a} c = c
  • Definition of a Derivative: f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x + 2

<u>Step 2: Find derivative</u>

  1. Substitute:                         f'(x)= \lim_{h \to 0} \frac{((x + h) + 2)-(x+2)}{h}
  2. Distribute:                          f'(x)= \lim_{h \to 0} \frac{x + h + 2-x-2}{h}
  3. Combine like terms:         f'(x)= \lim_{h \to 0} \frac{h}{h}
  4. Divide:                               f'(x)= \lim_{h \to 0} 1
  5. Evaluate:                           f'(x)= 1
8 0
3 years ago
Describe a situation that can be modeled by the integer -10.
alukav5142 [94]

Answer:

To start a cupcake stand you need ten dollars from your parents, who tell you that you must pay it back. You open up your stand with 10 dollars of debt.

6 0
3 years ago
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