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3 years ago

Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation

Mathematics

1 answer:

Firdavs [7]3 years ago

7 0

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5

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A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the di

Sloan [31]

Answer:

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event Probability Value Won

The result is 1 or 2 33.33% $0

The result is 3, 4 or 5 50.00% $4.00

The result is 6 16.67% $36.00

Expected Value:

Event Probability Value Expected Value

The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)

The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)

The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)

Total expected amount of money = $8.00

8 0

3 years ago

What is X <img src="https://tex.z-dn.net/?f=%20-%203x%20%2B%2012%20%3D%2021" id="TexFormula1" title=" - 3x + 12 = 21" alt=" -

Paraphin [41]

You would move all terms that don’t contain x to the right side and solve. Answer : x= -3

8 0

4 years ago

Read 2 more answers

Gisselle has 1/2 of a candy bar. She role off 1/2 of what she had. She then took the piece she broke off and split it into three

saul85 [17]

Answer:

$\frac{1}{12}$

Step-by-step explanation:

Given:

Gisselle has 1/2 of a candy bar.

She role off 1/2 of what she had and split it into three equal pieces.

Question asked:

What fraction of a candy bar was each piece?

Solution:

Gisselle has = $\frac{1}{2} \ of \ a \ candy \ bar$

She role off = $\frac{1}{2} \ of \ what\ she \ had$

$=\frac{1}{2} \ of\ \frac{1}{2}\\=\frac{1}{2} \times \frac{1}{2}\\\\=\frac{1}{4}$

As she split it into three equal pieces, we will divided it by 3, we get,

$\frac{1}{4} \div3\\\frac{1}{4}\times\frac{1}{3}$

$\frac{1}{12}$

Therefore, fraction of a candy bar of each piece is $\frac{1}{12}$

4 0

3 years ago

HELPPPPPPPPPPPPPPPPPPP

Anna11 [10]

Answer:

5 ; 27 points

Step-by-step explanation:

6x - 3 = x + 12

5x = 15

x = 5

GF = 6(5) - 3 = 27 units 

3 0

3 years ago

By visiting homes door-to-door, a municipality surveys all the households in 31 randomly-selected neighborhoods to see how resid

monitta

Answer:

Cluster Sample

Step-by-step explanation:

Sometimes, a survey may involve people in a widespread geographical location. Taking samples from all part of the location may involve higher cost and even difficulty in accessing the whole area. Researchers therefore use a type of sampling method that help in overcoming this difficulty and still get results that can be used to judge the whole population.

This type of sampling is called cluster sampling. Cluster sampling involves sharing your population into clusters and randomly selecting two or more of the clusters. The researcher then samples from only the selected clusters.

In the question above, the population is already shared into clusters, in the form of neighbourhoods. The municipality then randomly selected 31 neighbourhoods out of the whole neighbourhoods in the city, just like in cluster sampling, then samples from only the selected neighbourhood. This is why the selected samples are cluster samples.

6 0

3 years ago