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Leto [7]
2 years ago
9

Given: 5x + 3 > 4x + 7. Choose the graph of the solution set.

Mathematics
2 answers:
Dimas [21]2 years ago
5 0
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct . }}}

<h3><u>Step-by-step explanation:</u></h3>

For the number line refer to the attachment :

A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-

\bf \implies 5x + 3 > 4x + 7 \\\\\bf\implies 5x - 4x > 7 - 3 \\\\\bf\implies \boxed{\red{\bf x > 4 }}

This implies that the value of x is Greater than 4 . That is the inequality can have all the values more than 4. So when we see the given number lines we see that the first number line represents all values greater than 4 .

<h3><u>Hence</u><u> </u><u>the</u><u> </u><u>first </u><u>graph</u><u> </u><u>of</u><u> </u><u>the </u><u>s</u><u>olution</u><u> </u><u>set</u><u> </u><u>represents</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>linear </u><u>inequality</u><u>.</u></h3>

marusya05 [52]2 years ago
5 0

Answer: B is correct

Step-by-step explanation: Tried a on the test, got it wrong, then tried b and got it right.

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3 years ago
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Find the difference between8/15 and 2/3 Show all calculations in your final answer.
kherson [118]

Answer:

  • \frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}          

Step-by-step explanation:

  • Let the value of a number 'a' be = 8/15
  • Let the value of a number 'b' be = 2/3

The difference between the two numbers can be calculated by subtracting the numbers

a-b=\frac{8}{15}-\left(\frac{-2}{3}\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

         =\frac{8}{15}-\frac{-2}{3}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}

          =\frac{8}{15}-\left(-\frac{2}{3}\right)

\mathrm{Apply\:rule}\:-\left(-a\right)=a

          =\frac{8}{15}+\frac{2}{3}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

          =\frac{8+10}{15}

          =\frac{18}{15}

\mathrm{Cancel\:the\:common\:factor:}\:3

           =\frac{6}{5}

Thus,

  • \frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}                    
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3 years ago
An exit poll in an election is a survey taken of voters just after they have voted. One major use of exit polls has been so that
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Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

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Answer:

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