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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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Classify the equation, 7x+6=7x-5, as having one solution, no solution, or infinitely many solutions.
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Answer:

Step-by-step explanation:

7x + 6 = 7x - 5

Collecting like terms

7x - 7x = -5 - 6

The x is canceled out so no solution

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What is mathematical model
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Mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling.
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A random sample produced the pie chart below. The chart gives percentages of students that under reported, accurately reported,
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Answer:

The correct option is A.

Step-by-step explanation:

Total number of students at the school is 2,500.

In the given pi chart Pink, Yellow and Sky Blue color represent the percentage of students that under reported, accurately reported, and over reported their heights respectively.

From the graph we can conclude that the yellow portion is approximately one fifth of whole circle. It means the number of students that accurately reported their height is one fifth of total number of students.

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Find side lengths C and H
Nuetrik [128]

Answer:

\displaystyle c=\frac{2\sqrt{3}}{3}\\\\\displaystyle h=7\sqrt{2}\\

Step-by-step explanation:

<u>Right Triangles</u>

A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.

Let's consider the triangle to the left.  We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.

We'll use the adjacent angle, and

\displaystyle tan60^o=\frac{2}{c}

Solving for c

\displaystyle c=\frac{2}{tan60^o}=\frac{2}{\sqrt{3}}

Rationalizing

\displaystyle c=\frac{2}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}

Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that

\displaystyle sin45^o=\frac{7}{h}

Solving for h

\displaystyle h=\frac{7}{sin45^o}=\frac{7}{\frac{\sqrt{2}}{2}}=\frac{14}{\sqrt{2}}

Rationalizing

\displaystyle h=\frac{14}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{14\sqrt{2}}{2}=7\sqrt{2}

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4 years ago
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