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1 year ago

d. If you double a certain number and subtrack 7 you get the same answer as when you add 5 to the number, Determine the number

Mathematics

1 answer:

umka21 [38]1 year ago

4 0

Answer:

Step-by-step explanation:

Let n = the number.

2n - 7 = n + 5

n = 12

Let’s check if we got the right answer by substituting 12 for n into the original equation.

2*12 - 7 = 12 + 5

24 - 7 = 17

17 = 17

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The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,

Oliga [24]

Answer:

$P(x$

$P(x>808.40) = 0.58$

$P(x\le805.40\ or\ x\ge 808.40) = 0.85$

Step-by-step explanation:

Given:

$F(x) = \left\{\begin{array}{ll}{0} &; {x$

Solving (a): P(x < 810)

To solve this, we make use of:

$P(x$

Because

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So:

$F(x) = 0.05 * 810 -40$

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$P(x$

Because:

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$P(x$

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Here, we make use of complement rule:

$P(x>808.40) = 1 - P(x \le 808.40)$

Where:

$P(x\le808.40) = 0.05x - 40$

$P(x\le808.40) = 0.05*808.40 - 40$

$P(x\le808.40) = 0.42$

So:

$P(x>808.40) = 1 - 0.42$

$P(x>808.40) = 0.58$

Solving (d) The probability that the temperature lies outside 805.60 and 808.40

First, we calculate the probability that it lies within.

This is represented as:

$P(805.40 < x < 808.40)$

This is calculated using:

$P(805.40 < x < 808.40) = F(808.40) - F(805.40)$

$P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)$

$P(805.40 < x < 808.40) = 0.42 - (0.27)$

$P(805.40 < x < 808.40) = 0.42 - 0.27$

$P(805.40 < x < 808.40) = 0.15$

Using complement rule, the required probability is:

$P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15$

$P(x\le805.40\ or\ x\ge 808.40) = 0.85$

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Read 2 more answers

d. If you double a certain number and subtrack 7 you get the same answer as when you add 5 to the number, Determine the number​

d. If you double a certain number and subtrack 7 you get the same answer as when you add 5 to the number, Determine the number