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miss Akunina [59]
4 years ago
9

Mr. Parietti needs two students to help him with a science demonstration for his class of 18 girls and 12 boys. He randomly choo

ses one student who comes to the front of the room. He then chooses a second student from those still seated. What is the probability that both students chosen are girls? Enter your answer as a fraction in the form a/b (for example 2/3, 5/7) or as an integer.
Mathematics
1 answer:
Fed [463]4 years ago
4 0

Answer:1/870

Step-by-step explanation:

The total number of student in Mr parietti class is 30 (18girls and 12boys). If a student is first chosen at random from the class. The probability of choosing 1 student out of 30 will be 1/30.

He then chose another student without replacing the first, the probability of choosing that second lady will be 1/29 (since the remaining students are 29).

the probability that both students chosen are girls will be 1/30×1/29 = 1/870

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crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

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2 years ago
Find the second decile of the following data set 24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51 D2 =
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Answer:

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Step-by-step explanation:

given is a data set as

24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51

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Arranging in ascending order we get

14, 24, 24, 25,26,28, 34, 40, 45, 51, 58, 64

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20th percentile formula entry appearing which sorts 20% below and 80% above.

i.e. (20%*(14+1)) = 3rd entry

Thus 20th percentile is24.

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