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Snowcat [4.5K]
3 years ago
11

Jane has 6 red marbles. 4 green marbles, and 2 black marbles in a bag. What is the probability of ramdomly pulling out a green m

arble?​
Mathematics
1 answer:
fomenos3 years ago
4 0

the total number of marbles in the bag is 12 . so the probability of getting a green marble at random is 4/12 which resluts to 1/3

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If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
  • b\implies 7
  • \gamma \implies 20^{\circ}

Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
Whats equivalent<br> to 32/40
sattari [20]
16/20 is the correct answer
5 0
3 years ago
Read 2 more answers
Lakita wants to go to trade school and study electronics for a two-year program. Her tuition and books will cost about $5,500 pe
tamaranim1 [39]

Answer:

$13,400

Step-by-step explanation:

<u>Given the following data;</u>

Tuition and book per year = $5,500

Transportation per month = $100

<u>In 2 years;</u>

Total tuition and book = $5,500 * 2 = $11,000

Total tuition and book cost = $11,000

Transportation;

There are 12 months in a year, in 2 years = 12 * 2 = 24 months.

Thus, total on transportation = $100 * 24 = $2,400

Total transportation cost = $2,400

Overall \; cost = Total \; tuition \; and \; book \; cost + Total \; transportation \; cost

Substituting into the above equation, we have;

Overall cost = $11,000 + $2,400

Overall cost = $13,400.

<em>Hence, Lakita's education will cost her $13,400 in total.</em>

6 0
2 years ago
−4x+3y=−2 I need the x and the y
azamat

Answer:

Step-by-step explanation: -4x subtract -4x and that would be 0 I don’t know the rest

7 0
3 years ago
Solve the equation b over 27 equals negative 3 for b.
soldi70 [24.7K]

The solution of the equation is as follows;

  • b = -81
  • v = 7
  • x = -32

<h3>How to solve equations?</h3>

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The expression can be solved as follows:

b / 27 = - 3

cross multiply

b = -3 × 27

b = - 81

42 = v + 35

subtract 35 from both sides of the equations.

42  - 35 = v + 35 - 35

v = 42 - 35

v = 7

- 128 = 4x

divide both sides of the equations by 4

4x / 4 = - 128 / 4

x = - 32

learn more on equation here: brainly.com/question/1918545

#SPJ1

6 0
1 year ago
Read 2 more answers
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