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romanna [79]
3 years ago
5

Determine whether each given value of x satisfies the inequality x+1<x/3

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

x+1 < \dfrac{x}{3}\ \ \ \ |\cdot3\\\\3x+3 < x\ \ \ \ |-3\\\\3x < x-3\ \ \ \ |-x\\\\2x < -3\ \ \ \ |:2\\\\x < -1.5

Answer: (c) x = -4

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Determine whether the random variable is discrete or continuous. In each​ case, state the possible values of the random variable
Slav-nsk [51]

Answer:

a) Discrete Variable

b) Continuous Variable

Step-by-step explanation:

We are given the following in the question:

Discrete and Continuous:

  • Discrete data are the data whose value can be expressed in whole number. They cannot take all the values within an interval.
  • Discrete variables are usually counted than measured.
  • Continuous variable can be expressed in the form of decimals. They can take any value within an interval.
  • Continuous variables are usually measured than counted.

​(a) The number of free dash throw attempts before the first shot is made. ​

Since the number of shots made will always be expressed in whole numbers and the number of shots made will counted and not measured. Thus, number of free dash throw attempts before the first shot is made. is a discrete variable.

(b) The distance a baseball travels in the air after being hit.

The distance is a continuous variable as its value can be expressed in decimals. Also distance is always measured and not counted. Thus, distance a baseball travels in the air after being hit is a continuous variable.

4 0
3 years ago
50 points,What is the best example of controlling a fixed variable cost?
Sonja [21]

Answer:

all of the above

Step-by-step explanation:

3 0
2 years ago
For every 2 hours that Robert spends studying for a math test he spends 3 hours working on English. If he spends 21 hours one mo
nataly862011 [7]

Answer:

31.5 hours studying English

Step-by-step explanation:

2 math hours  = 3 english hours

21 math hours = ? english hours

21/2 = 10.5

10.5 * 3 = 31.5

5 0
3 years ago
If you assume that there are exactly 365 days in a year, how many seconds are there in one year? Give your answer to the nearest
Elena L [17]

Answer:

  31,536,000

Step-by-step explanation:

There are 3600 seconds in an hour and 24 hours in a day, so ...

 (3600 s/h)(24 h/da) = 86400 s/da

Then in 365 days, there are ...

  (365 da)(86400 s/da) = 31,536,000 s

_____

No rounding is needed.

5 0
3 years ago
Solve for x: |x|-8=-5
xxMikexx [17]

x*-8 would be -8x

then you would divide -8 by both sides

should get a decimal as your answer I believe

4 0
3 years ago
Read 2 more answers
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