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asambeis [7]
3 years ago
10

12x(x+2)−5(2x−1) find the equation

Mathematics
2 answers:
ankoles [38]3 years ago
7 0
Perform the indicated multiplications...

12x*x+12x*2-5*2x-5*(-1)

12x^2+24x-10x+5  combine like terms

12x^2+14x+5
Talja [164]3 years ago
6 0
12x^2+24x-10x-5
12x^2+14x-5
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1. The sum of a two-digits number is 13. The tens digit is 8 less than twice the units digit. What is the number?
alexgriva [62]

Answer:

<u>The number is 67</u>

Step-by-step explanation:

<u>Equations</u>

Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.

Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that

Number=10*a+b

The question gives us two conditions:

1) The sum of a two-digits number is 13.

2) The tens digit is 8 less than twice the units digit.

The first condition can be expressed as:

a + b = 13                     [1]

And the second condition can be written as:

a = 2b-8                      [2]

Replacing [2] into [1], we have:

2b-8 + b = 13

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3b = 13 + 8

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Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distr
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Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

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Problems of normal distributions can be solved using the z-score formula.

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

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