I need help can someone help

Which number produces an irrational number when multiplied by 1/3

MArishka [77]

We can simply observe that.

0.777... is rational, because it is a number with infinite but repeating decimal part.
1/3 is rational, because it's the division between two integers
$-\sqrt{16}=-4$ , so this is rational as well.

Since the product of two rational numbers is always rational, we have that

$0.\bar{7}\cdot \dfrac{1}{3},\quad \dfrac{1}{3}\cdot \dfrac{1}{3},\quad -4\cdot \dfrac{1}{3}$

are all rationals, since they are the product of two rationals.

On the other hand, we have

$\sqrt{27}=\sqrt{9\cdot 3}=3\sqrt{3}$

and thus

$3\sqrt{3}\cdot \dfrac{1}{3}=\sqrt{3}$

which is irrational.

3 0

3 years ago

When a distribution is mound-shaped symmetrical, what is the general relationship among the values of the mean, median, and mode

yuradex [85]

Answer:

The mean, median, and mode are approximately equal.

Step-by-step explanation:

The mean, median, and mode are central tendency measures in a distribution. That is, they are measures that correspond to a value that represents, roughly speaking, "the center" of the data distribution.

In the case of a normal distribution, these measures are located at the same point (i.e., mean = median = mode) and the values for this type of distribution are symmetrically distributed above and below the mean (mean = median = mode).

When a distribution is not symmetrical, we say it is skewed. The skewness is a measure of the asymmetry of the distribution. In this case, the mean, median and mode are not the same, and we have different possibilities as the mentioned in the question: the mean is less than the median and the mode (negative skew), or greater than them (positive skew), or approximately equal than the median but much greater than the mode (a variation of a positive skew case).

In the case of the normal distribution, the skewness is 0 (zero).

Therefore, in the case of a mound-shaped symmetrical distribution, it resembles the normal distribution and, as a result, it has similar characteristics for the mean, the median, and the mode, that is, they are all approximately equal. So, the general relationship among the values for these central tendency measures is that they are all approximately equal for mound-shaped symmetrical distributions, considering they have similar characteristics of the normal distribution, which is also a mound-shaped symmetrical distribution (as well as the t-student distribution).

5 0

3 years ago

Which is SMALLER, -6.3 or -6.1?

Dominik [7]

I believe the answer is -6.3

my explanation is because -6.3 is less than -6.1 so technically it makes it smaller. if you were to add to -6.3 you would get -6.1 on the x axis.

6 0

3 years ago

The diagonal of a TV screen is 26 inches. The screen is 18.8 inches wide. How high is the screen? Round to the nearest hundredth

cluponka [151]

26^2 = 18.8^2 + H^2
H^2 = 322.56
H = 17.96 inches

8 0

4 years ago

Ms. Morrison rolls a die what’s the p ( rolls an even number)

kenny6666 [7]

Answer:

P( $\frac{1}{2}$ )