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swat32
3 years ago
12

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

cement?
A. 33/129

B. 17/260

C. 17/65

D. 33/65
Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

Answer:

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}

\text{P(Drawing 2 green marbles at random without replacement)} =\displaystyle\frac{17}{65}\times \frac{16}{64}=\frac{17}{260}

Option b) \frac{17}{260}

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Kazeer [188]

Answer:

Height of the building = 50.8 ft

Step-by-step explanation:

A person and a building are casting the shadows at the same time of the day.

Triangles formed by the person and his shadow and the building and its shadow will be similar.

Therefore, corresponding sides of the similar triangles will be proportional.

\frac{x}{28}=\frac{5.8}{3.2}

x = \frac{5.8\times 28}{3.2}

x = 50.75

x ≈ 50.8 ft

5 0
3 years ago
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Please explain how you got to the answer will give brainliest thanks!
a_sh-v [17]
To find the length of the light pole you'll have to use the sine ratio.

sin 30 = x/43
43 (sin 30) = x
21.5 = x

Hope this helps :)
6 0
3 years ago
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1. The Alabama state flag is white and has two diagonal red stripes. If the m<1 = 135°, what is
MaRussiya [10]

Using the supplementary angles theorem, it is found that the measure of the second angle is of m<2 = 45º.

<h3>What are supplementary angles?</h3>

Two angles are supplementary when the <u>sum of their measures is of 180º</u>.

The Alabama state flag has <u>two lines opposite by the same vertex</u>, hence two angles that are sided are supplementary, hence:

m<1 + m<2 = 180º.

135º + m<2 = 180º.

m<2 = 45º.

The measure of the second angle is of m<2 = 45º.

More can be learned about supplementary angles at brainly.com/question/12919120

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8 0
2 years ago
Please help with my homework!
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Answer:

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3 years ago
The area of a rectangle is 5/6 sq foot. The width is 2/3 foot. The length of the rectangle is how many feet
max2010maxim [7]

Answer:

The answer is

\frac{5}{4}  \\

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length

<h3>length =  \frac{area}{width}  \\</h3>

From the question

area = 5/6 sq. feet

width = 2/3 foot

Substitute the values into the above formula and solve for the length

The length is

length =  \frac{5}{6}  \div  \frac{2}{3}  \\  =  \frac{5}{6}  \times  \frac{3}{2}  \\  =  \frac{5}{2}  \times  \frac{1}{2}  \\  =  \frac{5}{4}

We have the final answer as

\frac{5}{4}  \\

Hope this helps you

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3 years ago
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