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soldier1979 [14.2K]

2 years ago

14

Explain why the solution of 5x – 3 > 14.5 or 5 x minus 3 greater than 14.5 or StartFraction 2 x plus 5 over 3 EndFraction les

s than 4. < 4 has a solution of all real numbers, with one exception.

1 answer:

slega [8]2 years ago

6 0

Answer:

<u> There is no point where x = 3.5</u>

Step-by-step explanation:

Given the inequality

5x – 3 > 14.5

We are to find the range of all values of x

Add 3 to both sides of the equation;

5x - 3 + 3 > 14.5+ 3

5x > 17.5

x > 17.5/5

x > 3.5

Also for the inequality;

$\frac{2x+5}{3}$

Cross multiply;

$2x+5 < 3(4)\\2x + 5 < 12\\$

Subtract from both sides;

$2x + 5-5 < 12-5\\2x < 7\\x$

The solution to both inequalities are x > 3.5 and x < 3.5. <u>Since there is no point where x = 3.5</u>, hence the solution will have solution on all real numbers except at x = 3.5

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2 years ago

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Answer:

$P = \frac{1}{3}$

Step-by-step explanation:

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2 years ago

A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1. A can containing 500 of these mixed n

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Answer:

the machine is mixing the nuts are not in the ratio 5:2:2:1.

Step-by-step explanation:

Given that a machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1.

A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans.

Create hypotheses as

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Ha: Mixture is not as per the ratio

(Two tailed chi square test)

Expected values as per ratio are calculated as 5/10 of 500 and so on

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O-E 19 -12 -26 -5 0

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square

df = 3

p value = 0.00637

Since p value < alpha, we reject H0

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2 years ago

The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three

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Answer:

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Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

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The probability of finding a value higher than x is:

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$P(X \leq x) = 1 - e^{-0.2941x}$

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