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topjm [15]
3 years ago
5

a recent survey found that 40% of high school students exercise regularly. If you choose 5 students at random, what is the proba

bility that all 5 students exercise regularly
Mathematics
1 answer:
enyata [817]3 years ago
4 0

Answer:

0.05

Step-by-step explanation:

We can correctly state that the total sample space= 100 students

40% of 100 students exercise regularly

The probability that 5 students

Picked at random exercise regularly is

Pr(5) = 5/100= 1/20

Pr(5)= 0.05

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A person 6 feet tall standing 18 feet away from a lamppost casts a 9 foot shadow. When the same person moves 4 feet farther from
Len [333]

Answer:

<h2>12 feet 8 inch long cast a shadow</h2>

Step-by-step explanation:

A person 6 feet tall standing 18 feet away a lamppost cast a 9 foot shadow.

than move 4 feet than total distance is 22 feet  

According to trigonometry rule make 30 degree angle

tan\left ( 30\ \right )^{o}=\frac{p}{b}

\left ( \frac{1}{\sqrt{3}} \right )=\left ( \frac{x}{18+4} \right )

or

x\sqrt{3}=22

than

x=\frac{22}{\sqrt{3}}

=12feet 8 inch answer

3 0
3 years ago
X÷40=25.5<br> What does x equal
wariber [46]

Answer:

1,020

Step-by-step explanation:

25.5 times 40 equals 1,020

4 0
3 years ago
Choose the true biconditional statement that can be formed from the conditional statement "If a natural number n is odd, then n2
gregori [183]
The answer 
mathematics rules tell that 
if A and B are two statements that are equivalents, that is also called biconditional statement, or " if and only if " statement

the general signification of <span>biconditional statement and its converse is:
if A, then B and if B then A (the converse), A and B are equivalent statements
</span><span>["If a natural number n is odd, then n2 is odd" and its converse ] does mean
</span><span>A natural number n is odd if and only if n2 is odd.
the answer is B</span>
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What is the slope of this line?<br><br> Enter your answer in the box.<br><br> ____.
kati45 [8]
A line parallel to x-axis has 0 slope.
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Read 2 more answers
There are 3 red marbles, 5 green marbles, and 2 blue marbles in a jar. Event A is defined as drawing a red marble from the jar o
Anastaziya [24]

P(B/A) is \frac{5}{9} in the simplest form

Step-by-step explanation:

Let us explain how to solve the problem

  • P(B|A) is called the "Conditional Probability" of B given A
  • Conditional probability is the probability of one event occurring with some relationship to one or more other events that means event A has already happened, now what is the chance of event B
  • The formula for conditional probability is P(B|A) = P(A and B)/P(A), where P(A and B) is P(A) . P(B given A occurred)

∵ There are 3 red marbles, 5 green marbles, and 2 blue

   marbles in the jar

∴ The total number of the marbles in the jar = 3 + 5 + 2 = 10

∵ Two marbles are drawn from the bag, one after the other without

   replacement

- That means red is already occurred when green is happened,

  so it is a "Conditional Probability" of green given red

  P(B/A) = P(A and B)/P(A)

∵ Event A is defined as drawing a red marble from the jar on

   the first draw

∴ P(A) = P(red)

∵ P(red) = \frac{3}{10}

∴ P(A) = \frac{3}{10}

∵ Event B is defined as drawing a green marble on the second draw

∴ P(B) = P(green)

- The number of marbles after the red is chosen is 9

∵ P(green) = \frac{5}{9}

∴ P(B) = \frac{5}{9}

- Find P( A and B)

∴ P(A and B) = ( \frac{3}{10} ) . ( \frac{5}{9} )

∴ P(A and B) = \frac{15}{90}

- Simplify the fraction by divide up and down by 15

∴ P(A and B) = \frac{1}{6}

∵ P(B|A) = P(A and B)/P(A)

- Substitute the values of P(A and B) and P(A) in the rule above

∴ P(B/A) = \frac{\frac{1}{6}}{\frac{3}{10}}

- Simplify the fraction

∵ \frac{1}{6} ÷ \frac{3}{10} = \frac{1}{6} × \frac{10}{3} = \frac{10}{18}

- Divide up and down by 2

∴ P(B/A) = \frac{5}{9}

P(B/A) is \frac{5}{9} in the simplest form

Learn more:

You can learn more about probability in brainly.com/question/10744457

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
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