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Nadusha1986 [10]

3 years ago

10

A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are:

(5, 3), (2,-1), (-3,-1), (0,3). How long is each side of the rhombus?

1 answer:

Reptile [31]3 years ago

8 0

Each side of the rhombus is 5

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If there are 17 green marbles in a jar of 65 marbles, what is the probability of drawing 2 green marbles at random without repla

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Option b) $\frac{17}{260}$

Step-by-step explanation:

We are given the following information in the question:

Total number of marbles = 65

Number of green marbles = 17

We have to find the probability of drawing 2 green marbles at random without replacement.

Formula:

$Probability = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$\text{P(Drawing 2 green marbles at random without replacement)} = \\\text{Probability of drawing }1^{st} \text{ green marble}\times \text{Probability of drawing }2^{nd} \text{ green marble}$

$\text{Probability of drawing }1^{st} \text{ green marble} = \displaystyle\frac{17}{65}\\\\\text{Probability of drawing }2^{nd} \text{ green marble} = \displaystyle\frac{16}{64}$

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Option b) $\frac{17}{260}$

5 0

3 years ago

1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake

shtirl [24]

Answer:

Step 3 contains error.

Step-by-step explanation:

The given equation is :

$\dfrac{1}{4}(\dfrac{1}{3}k+9)=6$

Step 1.

Cross multiplying,

$(\dfrac{1}{3}k+9)=24$

Step 2.

Subtract 9 from both sides

$\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15$

Step 3.

Cross multiplying

$k=15\times 3\\\\k=45$

So, there is an error in step 3. The correct answer should be 45.

3 0

2 years ago