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2 years ago

In the figure below, which term best describes point X?

Mathematics

1 answer:

sergiy2304 [10]2 years ago

5 0

The term best describes point X is option A. Centroid.

<h3>What is the centroid of a triangle and its coordinates?</h3>

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

If the surface is plane triangle approximately and mass is uniformly distributed, then its center of mass will lie on the centroid of that triangle.

If the triangle has its vertices as $(x_1, y_1), (x_2, y_2) , \: (x_3, y_3)$ then the coordinates of the centroid of that triangle is given by:

$(x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)$

The term best describes point X is option A. Centroid.

Learn more about centroid here:

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The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The di

babunello [35]

Solution:

$Z score =\frac{X-\sigma}{\mu}$

1. For Best Actor

$X_{1}$ = 59 years

$\sigma=7.3, \mu=42.0$

Z, Score for best actor named, $Z_{1}$

$Z_{1}=\frac{59-7.3}{42}\\\\Z_{1}= \frac{51.7}{42}\\\\Z_{1}=1.23095\\\\ Z_{1}=1.24$

Z-Score for best actor = 1.24

2. Z , Score for best supporting actor , called $Z_{2}$

$X_{2}$ =49 years

$\sigma=15, \mu=49.0$

$Z_{2}=\frac{49-15}{49}\\\\Z_{2}= \frac{34}{49}\\\\Z_{2}=0.6938\\\\ Z_{2}=0.70$

Z-Score for best supporting actor = 0.70

Z-Score is usually , the number of standard deviations from the mean a point in the data set is.

3. As, $Z_{1}=1.24$

So, we can say that,Option (B) The Best Actor was more than 1 standard deviation above is not unusual.

4.As, $Z_{2}=0.70$

So, we can say that,Option(A) The Best Supporting Actor was less than 1 standard deviation below, is not unusual.

8 0

3 years ago

If xy=0 what must be true about either x or y?

Anettt [7]

Answer:

D. either x or y must equal 0

Step-by-step explanation:

Its given that xy = 0

Remember that product of two numbers can be zero only if:

Both of them are zero or Either of them is zero as zero multiplied to any non-zero number will always be equal to zero. This is known as Zero Product Property.

So, if the product of x and y is equal to 0 there are two possibilities:

Both x and y are equal to 0
Either x or y must be equal to 0

Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.

Hence, the condition which has to be true in all cases for xy = 0 is:

D. either x or y must equal 0

6 0

3 years ago

Can someone help me please?

dexar [7]

Answer:

1 one

Step-by-step explanation: just know

5 0

3 years ago

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced