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Delicious77 [7]
2 years ago
15

J5.

Mathematics
1 answer:
igomit [66]2 years ago
7 0

The probability is P = 0.004, so the correct option is D.

<h3 /><h3>How to find the probability?</h3>

We want to find the probability that 4 students lie on these 30% subgroup.

We know that there are 30 students, the 30% of 30 is:

x = (30%/100%)*30 = 9

So 9 out of 30 students prefer the tests to be on Mondays.

The probability that the first randomly selected kid wants the test to be on Monday is:

p= 9/30

For the next kid, the probability is:

p'= 8/29 (because one kid was already selected).

For the next one:

p'' =7/28

For the final one:

p''' =6/27

The joint probability is the product of these 4:

P = (9/30)*(8/29)*(7/28)*(6/27) = 0.004

So the correct option is D.

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

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9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc
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<h3><u>Answer:</u></h3>

  • B) 22.32 feet

\quad\rule{300pt}{1pt}

<h3><u>Solution</u><u>:</u></h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull

Here,

  • hypotenuse = 23 feet
  • \theta = 76°
  • Value of Sin\theta = 0.97
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\quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}

\quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }

\quad\dashrightarrow\quad \sf { P = 22.32}

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>distance </u><u>from </u><u>the </u><u>top </u><u>of </u><u>the </u><u>ladder </u><u>to </u><u>the </u><u>ground </u><u>is </u><u>2</u><u>2</u><u>.</u><u>3</u><u>2</u><u> </u><u>feet </u><u>!</u>

\rule{300pt}{2pt}

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Write in simplest form 2/5 * 11
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The most simplistical form of 2/5 × 11 is 22/5, because once you multiply the numerals, you can't simplify anymore.


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Step-by-step explanation:

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