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There are 320 students in a school. 16 come to school by car. 96 walk to school. Estimate the probability that a particular stud

lorasvet [3.4K]

Answer:

a. The probability that a particular student arrives by car is $\frac{1}{20}$ = 0.05, which equals 5%.

b. The probability that a particular student walks to school is $\frac{3}{10}$ = 0.3, which equals 30%.

c. The probability that a particular student does not walk to school is $\frac{7}{10}$ = 0.7, which equals 70%.

d. The probability that a particular student does not walk or come by car is $\frac{13}{20}$ = 0.65, which equals 65%.

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

In this case, the number of possible cases is always the same, which is equal to the total number of students. So the number of possible cases is 320 students. The number of favorable cases varies as follows:

a. Number of favorable cases= number of students that arrive by car= 16

So: $P(A)=\frac{16}{320}$

P(A)= $\frac{1}{20}$ = 0.05, which equals 5%

The probability that a particular student arrives by car is $\frac{1}{20}$ = 0.05, which equals 5%.

b. Number of favorable cases= number of students that walk to school= 96

So: $P(A)=\frac{96}{320}$

P(A)= $\frac{3}{10}$ = 0.3, which equals 30%

The probability that a particular student walks to school is $\frac{3}{10}$ = 0.3, which equals 30%.

c. Number of favorable cases= number of students that do not walk to school = 320 students - number of students that walk to school= 320 students - 96 students= 224 students

So: $P(A)=\frac{224}{320}$

P(A)= $\frac{7}{10}$ = 0.7, which equals 70%

The probability that a particular student does not walk to school is $\frac{7}{10}$ = 0.7, which equals 70%.

d. Number of favorable cases= number of students that do not walk or come by car= 320 students - number of students that walk to school - number of students that arrive by car= 320 students - 96 students - 16 students= 208 students

So: $P(A)=\frac{208}{320}$

P(A)= $\frac{13}{20}$ = 0.65, which equals 65%

The probability that a particular student does not walk or come by car is $\frac{13}{20}$ = 0.65, which equals 65%.

6 0

3 years ago

The factor pairs for 52

REY [17]

The factor of 52 is 1, 2, 4, 13, 26, and 52

7 0

4 years ago

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the ratio of boys to girls in a classroom is 7:5 4 boys are added to the class the ratio is now 1:1 find the total number of gir

Nataly [62]

14 girls are in the class
the ratio 7:5 is divided by two so it can also be seen as 14:10. Add four boys and the ratio becomes 14:14 which is also 1:1

4 0

3 years ago

Sketch the graph y=−|x−1|+3 and answer the questions: Does it open upward? Yes or No?

Marina CMI [18]

Answer:

1) Please see the required graph created with Microsoft Excel

2) No

Step-by-step explanation:

The given parameters are;

$y= -\left | x - 1 \right | + 3$

From the given equation, we have;

When x > 4, or x -2 <, y < 0, which gives;

y > 0 for -2 < x < 4

Therefore, the graph is opened in the downward direction with the peak at the point with coordinate (1, 3)

The legs of the graphs are straight lines with slopes = -1, and 1 respectively, before and after the maximum point of the graph

The table of values used to sketch the graph with Microsoft Excel is given as follows;

x ${}$ y

-3 -1

-2 0

-1 1

0 2

1 3

2 2

3 1

4 0

5 -1

4 0

3 years ago

Which pattern follows the given rule? Rule: Start with 10 and then multiply each term by 3 to get the next term. A. 10, 13, 20,

Ghella [55]

B....is the correct one

5 0

3 years ago

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