1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elis [28]
3 years ago
7

The following two-way table describes student's

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

Answer:

P(Sports|Senior)= 0.71

Step-by-step explanation:

Hello!

You have a two-way table with the information describing students after school activities regarding the grade the student is in.

You have to calculate the probability that a randomly selected student is ins sports given that he is a senior.

This is a conditional probability and you can symbolize it as:

P(Sports|Senior)

Using the definition of the conditional probability we know that:

P(Sports|Senior)= \frac{P(Sports n Senior)}{P(senior)}

The probability of the intersection of both events "Sports" and "Seniors" can be calculated as the number of students that are in senior years and take sports by the total of students in the sample

P(Sports ∩ Senior)= \frac{25}{100}= 0.25

The probability of the student being a senior is a marginal probability, you can calculate is as the number of observed students that are in senior year by the total number of students:

P(senior)= \frac{35}{100} = 0.35

Now you can calculate the asked probability

P(Sports|Senior)= \frac{P(Sports n Senior)}{P(senior)}= \frac{0.25}{0.35} = 0.71

I hope this helps!

You might be interested in
What are the two smallest consecutive odd integers whose sum is greater than 17
Mice21 [21]

Answer:

9 and 11

Step-by-step explanation:

5 0
2 years ago
How do i solve the equation <br><img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2040x%20%2B%2084%20%3D%200" id=
SpyIntel [72]
QUADRATIC \: \: RESOLUTIONS \\ \\ \\\\4 {x}^{2} \: + \: 40x \: + \: 84 \: = \: 0 \\ \\ 4 \: ( \: {x}^{2} + 10x + 21) \: = \: 0 \\ \\ 4 \: can \: never \: be \: equal \: to \: \: 0 \\ \\ {x}^{2} \: + \: 10x \: + \: 21 = \: 0 \\ \\ {x}^{2} + \: 7x \: + 3x \: + \: 21 = 0 \\ \\ x(x + 7) + 3(x + 7) = 0 \\ \\ ( \: x + 7 \: ) \: ( \: x + 3 \: ) \: = \: 0 \\ \\ On \: solving \: \: , \: \: \:  We \: get \: \: \: \: \: - \\ \\ \\ x \: = \: - 7 \: \: \: or \: \: \: x = \: - 3 \: \: \: \: \: \: \: \: Ans.
6 0
3 years ago
What is the value of x if x =3^2​
ycow [4]

Answer:

9

Step-by-step explanation:

Raise 3 to the power of 2.

5 0
2 years ago
Prove this <br><br> 1-tan^2x/1+tan^2x=cos^2x-sin^2x
tatiyna

Answer:

see explanation

Step-by-step explanation:

Using the identity

tan x = \frac{sinx}{cosx}

Consider the left side

\frac{1-tan^2x}{1+tan^2x}

= \frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} } ( multiply numerator and denominator by cos²x to clear fractions

= \frac{cos^2x-sin^2x}{cos^2x+sin^2x} ← ( cos²x + sin²x = 1 ]

= cos²x - sin²x

= right side , thus proven

7 0
2 years ago
A basketball and a pump cost $31. If the basketball costs 3 times as much as the pump how much does each item cost?
postnew [5]
3 times 7.75 = 23.25 + 7.75 = 31.00
so the basketball is $23.25 and the pump is $7.75
4 0
3 years ago
Other questions:
  • The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So
    6·1 answer
  • 150 is 15% of what number
    12·2 answers
  • Randell's favorite brand of cookies is on sale at a price of $1.79 for a 12 ounces package. what is the cost per ounce (unit rat
    14·1 answer
  • carrie is making a bed skirt for her twin beds. one side of a mattress measures 39 inches, and another side measures 75 inches.
    14·1 answer
  • I don’t understand this at all someone please help
    6·1 answer
  • 4 more than a number is 12
    15·2 answers
  • Rose has $83. She is saving up for a new bike. If she saves $15 per week, how much money will she have after 8 weeks?
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bt%7D%7B7%7D%3D%2013%5C%5C" id="TexFormula1" title="\frac{t}{7}= 13\\" alt="\frac{t}{
    15·2 answers
  • Please help due asap
    13·1 answer
  • Round 0.9057 to<br> the thousandths place.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!