The students of a high school are 51% males. Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.

Answer:

(b) Probability that a student is male and attends concert = 22.95%

(c) Probability that a student is female and does not attend concert = 29.4%

(d) Probability that a student attends concerts = 42.55%

Step-by-step explanation:

P.S - The exact question is -

Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.

To find - (a) Make a tree diagram based on the information above.

               (b) Find the probability that a student is male and attends    

                    concerts.

               (c) Find the probability that a student is female and does not

                    attend concerts.

                (d) Find the probability that a student attends concerts.

Proof -

Let the total population of the high school = 100 x

Given that,

The students of a high school are 51% males

⇒Total males in the high school = 51% × 100 x

                                                      = [tex]\frac{51}{100}[/tex] × 100 x = 51 x

⇒Total males in the high school = 51 x

⇒Total females in the high school = 100 x - 51 x = 49 x

Now,

Given that,

Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.

⇒Total number of males that attend the concert = 45% × 51 x

                                                                                = [tex]\frac{45}{100}[/tex] × 51 x  = 22.95 x

⇒Total number of males that attend the concert = 22.95 x

And

Total number of males that do not attend the concert = 51 x - 22.95 x

                                                                                          = 28.05 x

⇒Total number of males that do not attend the concert = 28.05 x

Also,

Total number of females that attend the concert = 40% × 49 x

                                                                                = [tex]\frac{40}{100}[/tex] × 49 x  = 19.6 x

⇒Total number of females that attend the concert = 19.6 x

And

Total number of females that do not attend the concert = 49 x - 19.6 x

                                                                                             = 29.4 x

⇒Total number of females that do not attend the concert = 29.4 x

(a)

The tree diagram is as follows :

(b)

Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %

                                                                                          = 22.95%

⇒Probability that a student is male and attends concert = 22.95%

(c)

Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%

                                                                                                            = 29.4%

⇒Probability that a student is female and does not attend concert = 29.4%

(d)

Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%

                                                                        = [tex]\frac{42.55}{100}[/tex] ×100%

                                                                        = 42.55%

⇒Probability that a student attends concerts = 42.55%

is 1 23/36 the same thing as 263/144 ? ill give brainiest :)

15.00 + 1.75x > 7.50 + 2.25

A circular swimming pool has a radius of 20 feet. A fence is going to be built so that there is a 4-foot space around the entire pool. What is the length of the fence? Sunitha solved the problem as shown. A circle with radius 20 feet. A larger circle is 4 feet larger than the smaller circle. Radius = 24 feet. Circumference = 24 pi. What was her error? She should have used 12 in the formula, not 24. She forgot to multiply the radius by 2 in the formula. She did not add the additional fence length to the pool’s radius. She should have used 4 ft in the formula.

What expression is equivalent to 4 + 2(3 + 5 exponent 2 - 6)?

What is the length of the hypotenuse of the triangle?

Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."










Which equation represents the situation? " A number decreased by 11 is equal to 48."





Which equation represents the situation? " A number decreased by 11 is equal to 48."




Which equation represents the situation? " A number decreased by 11 is equal to 48."





Lila and Drew want to buy their mom a gift that costs $30. Raquel has $18 saved already, how much does Drew need to save to pay for the gift?

Let d = the amount that Drew has to save to help buy the gift.

Which equation can be used to solve the problem. Equation

How much money does Drew need to save so they could buy the gift?

On a coordinate plane, a piecewise function has 3 lines. The first line has a closed circle at (negative 3, negative 4) and continues horizontally to an open circle at (0, negative 4). The second line has a closed circle at (0, 2) and continues horizontally to an open circle at (4, 2). The third line has a closed circle at (4, 3) and continues horizontally through (5, 3) with an arrow instead of an endpoint.
A step function is shown on the graph. What are the domain and range?

Domain:

Range:

4w2 + 3W

- 1

5w - 2

Which expression represents the area in square feet that the homeowner will cover with fertilizer?

i need help solving the paint questions ​

Dos hermanos reciclaron la misma cantidad de kilos de papel que de envases de carton. Se pagan 183 por cada kilo de papel y 356 por cada kilo de carton y con lo que juntaron lograron ganar 3763.

how to solve 6x+4+5X+2=12X-4 to solve for x

HALP MEEEEEEEEEEEEEEEEEEEEE
Due In 5 min!!!!!!!!!!!!!!!!
SHOW FORMULA
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies

A construction company can remove 8 1/4 metric tons of dirt from a construction site in 5 1/2 hours what is the unit rate in metric tons per hour?

Please help. What is the answer?

What is the equation of the line that passes through the point (5, -7) and has a
slope of o?

what is 3/4x2/3

a.5/12
b. 6/12
c.5/7
d. 6/7

PLEASE PLEASE HELP ME
Use a graph to make a conjecture about the coordinates of the intersection point of the lines y = - 7/9x + 3 and y = 1/3x - 2

Plz help!!!!!!!!!!!!!!!!

For each equation, find a value for x that makes the equation true.

4x/3x=10/3

A rectangular tank is 24 cm wide, and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Amy pulls the
stone out of the tank, the height of the water drops to 6 cm.
Find the volume of the stone. Be ready to explain the steps you took to solve the problem on the next slide (16).
What is the formula for VOLUME?
V
What is the VOLUME of the STONE? Remember to LABEL answer

6th grade math help fast

Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144

SA
TO
SA
th
B
SA
B
B

A bus traveled 744 miles between two cities. The bus travels at a speed of 48 mph. Write a multiplication equation and then solve to find out how many hours it took for the bus to arrive at its destination

Which of the following is most likely the next step in the series? ​

What is the longest iron rod which can be placed flat across the diagonal of a 4m by 2.5m garden shed floor

An angle has a reference angle of 25° and its terminal side lies in Quadrant II. What are a possible positive measure and negative measure for the angle?

The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%

what kpop dances do you recommend to help you , lose weight?
My sister was asking but i didnt know how to answer her..

Clara drove 792 miles. Clara's car used 20 gallon of gas. How many miles per gallon did Clara's car get?