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3 years ago

Identify quadrilateral

Mathematics

1 answer:

Sholpan [36]3 years ago

4 0

14. trapezoid

- the bases are parallel

15. rhombus

- if you add 57 and 33 you will get 90 degrees. that means all the other angles the diagonals create intersecting each other are 90 degrees, and one of the properties of a rhombus is they have perpendicular diagonals.

16. kite

- two adjacent sides are congruent, and the two angles drawn are congruent

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anastassius [24]

Answer:

20/9

Step-by-step explanation:

Alright, so by using the "keep me, change me, turn me over" method - we can easily solve this:

$\frac{8}{9}\div \frac{2}{5}\\=\frac{8}{9}\times \frac{5}{2}\\=\frac{4}{9}\times \frac{5}{1}\\=\frac{4\times \:5}{9\times \:1}\\=\frac{20}{9}$

I hope I was of assistance! #SpreadTheLove <3

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3 years ago

Graph f(x)= x^3 + x^2

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3 years ago

Verify that the following function is a probability mass function, and determine the requested probabilities. f left-parenthesis

Licemer1 [7]

Answer:

$f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3$

1) $f(x_i) \geq 0, \forall x_i$

2) $sum_{i=1}^n P(X_i) =1$

We can find the individual probabilities and we got:

$f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923$

$f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307$

$f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770$

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

$P(X \leq 1) = P(X=1) =0.6923$

$P(X>1) = P(X=2) +P(X=3) = 0.2307+0.0770=0.3077$

$P(2$

Step-by-step explanation:

For this case we have the following density function:

$f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3$

In order to satisfty that this function is a probability mass function we need to check two conditions:

1) $f(x_i) \geq 0, \forall x_i$

2) $sum_{i=1}^n P(X_i) =1$

We can find the individual probabilities and we got:

$f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923$

$f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307$

$f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770$

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

And if we want to find the following probabilities:

$P(X \leq 1) = P(X=1) =0.6923$

$P(X>1) = P(X=2) +P(X=3) = 0.2307+0.0770=0.3077$

$P(2$

7 0

3 years ago

Identify quadrilateral ​

Identify quadrilateral