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kvasek [131]
3 years ago
5

A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.

Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

P(first marble will be green and the second will be green as well)= 5/22

Step-by-step explanation:

A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.

Total number of marbles= 2+6+4

                                        =12

P(first marble is green)=no. of green marbles/total number of marbles

                                  =  6/12

                               = 1/2

P(second marble is green and we didn't put the first marble back)

=no. of green marbles left/total marbles left

= 5/11

Hence, P(first marble will be green and the second will be green as well)

       =\dfrac{1}{2}\times \dfrac{5}{11}

      = 5/22

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A football stadium contain 80% of its full capacity of spectators for a grand final match. At the end of the game, spectators le
nekit [7.7K]

Answer:

A. 30000

B. 12000

Step-by-step explanation:

Find out how much spectators leave in 1 minute.

1 second = 5

1 minute = 5 x 60 = 300 (60 seconds)

20 minutes = 300 x 20 = 6000

Since there were only 80% of the full capacity of spectators and after minutes it became 60%...

80% - 60% = 20%

20% = 6000

1% = 6000 ÷ 20 = 300

100% = 300 x 100 = 30000

1 minute = 300 spectators leaving

1 hour = 300 x 60 = 18000 (60 minutes)

30000 - 18000 = 12000

8 0
3 years ago
One serving of pasta contains 210 calories. What percent of a 2000 calorie diet is contained in one serving of pasta??
lesya [120]
The answer is 9.5% by simply diving 2000/210
4 0
3 years ago
Find cscθ.<br><br>pls answer
ExtremeBDS [4]

Answer:

The answer to your question is csc Ф = \frac{-5}{4}

Step-by-step explanation:

Process

1.- Determine the sign

We must determine csc Ф in the forth quadrangle, here csc is negative.

2.- Determine the hypotenuse

     c² = a² + b²

     c² = 3² + (-4)²

     c² = 9 + 16

     c² = 25

     c = 5

3.- Determine csc Ф

    csc Ф = \frac{hypotenuse}{opposite side}

    csc Ф = \frac{5}{-4}  = \frac{-5}{4}

7 0
3 years ago
Which of the following words correctly describe a triangle with two 45 angles?
Tom [10]
Well, first let's identify which answers are incorrect, then it will be easier to figure out which are correct.

A. Equilateral: An equilateral triangle is a triangle with 3 equal sides. Since there are 180 degrees in a triangle, an equilateral triangle would have three sides of 60 degrees, and none of 45 degrees. Answer? Incorrect.

B. Isosceles: An isosceles triangle has two sides that are equal. 45 and 45 are equal, therefore, this answer is: Correct!

C. Scalene: A scalene triangle has three unequal sides, therefore, this answer is incorrect.

D. Obtuse: An obtuse triangle has one angle that is more than 90 degrees, therefore, since 45 and 45 equal 90 already, this answer is: incorrect.

E. Right: A right triangle has one right angle (angle that equals 90 degrees) since 45 + 45 = 90, and 90 + 90 = 180, this answer is: Correct!

F. Equiangular: This last choice is practically the same as the first, therefore the answer is: incorrect.

The two correct answers are: B Isosceles, and E Right!
4 0
3 years ago
Read 2 more answers
What is the least common denominator of the fractions 4/15 1/6 and 3/4
Alexus [3.1K]

Answer:

60

Step-by-step explanation:

We have to find least common denominator for these fractions or we just have to find the least common multiple for 15, 6 and 4

In order to find the least common multiple, we have to represent these numbers as factors of prime numbers:

15 = 3 * 5

6 = 2 * 3

4 = 2 * 2

Least common multiples will be common factors (considering that there are no more than of them in other numbers) and the uncommon factors. Then, we can write that:

2 * 2 * 3 * 5 = 60 (there are two 2's, one common 3 and an uncommon 5)

The denominator will be 60 for the least common multiples.

5 0
3 years ago
Read 2 more answers
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