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Sloan [31]
3 years ago
8

What is a short method to show the compound inequality x < 2 AND x > 7

Mathematics
1 answer:
jeyben [28]3 years ago
8 0

These inequalities are not compatible: you are looking for a number that is less than 2, but more than 7. This is impossible, because if a number is less than 2, it can't be more than 7.

Conversely, if a number is more than 7, it can't be less than 2.

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Convert the decimal to a fraction in simplest form:
Shkiper50 [21]

Answer:

Decimal 0.333 to a fraction in simplest form is:   \frac{333}{1000}

Step-by-step explanation:

Given the decimal

0.333

Multiply and divide by 10 for every number after the decimal point.

There are three digits to the right of the decimal point, therefore multiply and divide by 1000.

Thus,

0.333=\frac{0.333\cdot \:\:1000}{1000}

         =\frac{333}{1000}         ∵ 0.333×1000 = 333

Let us check if we can reduce the fraction \frac{333}{1000}

For this, we need to find a common factor of 333 and 1000 in order to cancel it out.

But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000

<u>Greatest Common Divisor (GCD) : </u>

The GCD of a, b is the largest positive number that divides both a and b without a remainder.

Prime Factorization of 333:      3 · 3 · 37

Prime Factorization of 1000:      2 · 2 · 2 · 5 · 5 · 5

As there is no common factor for 333 and 1000, therefore, the GCD is 1.

Important Tip:

  • As GCD is 1, therefore the fraction can not be simplified.

Therefore, decimal 0.333 to a fraction in simplest form is:   \frac{333}{1000}

4 0
3 years ago
So let's suppose that they ask you how far does that circle go in 8 rotations. What would the answer be? (Hint - She multiplied
tangare [24]

Answer:

614400°

Step-by-step explanation:

3 0
3 years ago
You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You al
Naddika [18.5K]

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

5 0
3 years ago
Kerille is reading a book at the rate of 4.5 pages per minute. What ordered pair on a graph of his reading rate would represent
viva [34]
This is a linear equation y = mx, where:
m= slope or reading rate:
x = the number of minutes
y = the number of pages read.

So the equation becomes: y = 4.5.x
How many minutes it will take to read 90 pages (y):
90 = 4.5.x    or x = 90/4.5  and x = 20 minutes
So the ordered pair will be (20,90)



5 0
3 years ago
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