Mathematics, 26.03.2020 15:32 kev485

Some of the children at a school arrive by car.
30% of the children at the school are boys
60% of the boys at the school arrive by car
80% of the girls at the school arrive by car
what is the probability that a child chosen at random from the school arrives by car? give your answer as a decimal

Answers: 1

Show answers

Answers

Answer from: lindselu

74%

Explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

Car No car Total

Boys

Girl

Total

Fill the table

30% of the children at the school are boys

Car No car Total

Boys 30%

Girl

Total

60% of the boys at the school arrive by car

That is 60% of 30% = 0.6 × 30% = 18%

Car No car Total

Boys 18% 30%

Girls

Total

By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

Car No car Total

Boy 18% 12% 30%

Girl

Total

Also, you know that the grand total is 100%

Car No car Total

Boy 18% 12% 30%

Girl

Total 100%

By difference you fill the total of Girls: 100% - 30% = 70%

Car No car Total

Boy 18% 12% 30%

Girl 70%

Total 100%

80% of the girls at the school arrive by car

That is 80% of 70% = 0.8 × 70% = 56%

Car No car Total

Boy 18% 12% 30%

Girl 56% 70%

Total 100%

Now you can finish filling in the whole table calculating the differences:

Car No car Total

Boy 18% 12% 30%

Girl 56% 14% 70%

Total 74% 26% 100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

That is because that column represents the percent of boys and girls that that arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.

Answer from: Quest

if you was gonna solve for a, a is a < -12

Answer from: Quest

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.

Another question on Mathematics

Mathematics, 21.06.2019 16:20

Which of the following lines does not intersect the line y=-2x+3 ? a) y=2x b) y=2x-3 c) y=2x+3 d) y=-2x-3

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Marla bought a book for $12.95, a binder for $3.49, and a backpack for $44.99. the sales tax rate is 6%. find the amount of tax and the total she paid for these items

Answers: 3

Answer

Mathematics, 21.06.2019 19:00

For what value of (y) is 3^3/3^y =1/9

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Answers: 2

Answer

You know the right answer?

Some of the children at a school arrive by car.
30% of the children at the school are boys

Questions