Solve the equation x−2.71=4.12
2 answers:
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Answer:
a. The probability that a particular student arrives by car is = 0.05, which equals 5%.
b. The probability that a particular student walks to school is = 0.3, which equals 30%.
c. The probability that a particular student does not walk to school is = 0.7, which equals 70%.
d. The probability that a particular student does not walk or come by car is = 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.
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)= = 0.05, which equals 5%
<u><em>The probability that a particular student arrives by car is </em></u><u><em> = 0.05, which equals 5%.</em></u>
b. Number of favorable cases= number of students that walk to school= 96
So:
P(A)= = 0.3, which equals 30%
<u><em>The probability that a particular student walks to school is </em></u><u><em> = 0.3, which equals 30%.</em></u>
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)= = 0.7, which equals 70%
<u><em>The probability that a particular student does not walk to school is </em></u><u><em> = 0.7, which equals 70%.</em></u>
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)= = 0.65, which equals 65%
<u><em>The probability that a particular student does not walk or come by car is </em></u><u><em> = 0.65, which equals 65%.</em></u>
Answer:
a. -5 ft per sec
b. 59.5 ft² per sec
Step-by-step explanation:
a. Suppose l represents the ladder, x represents the height of the top of ladder from the base of house and y represents the distance of base of ladder from the base of house.
By the Pythagoras theorem,
Differentiating with respect to t ( time ),
But, height of ladder, l = 13 ft = constant,
We have,
y = 5, ,
Again by equation (1),
From equation (2),
Hence, the rate of change of the height of the top of the ladder is -5 ft per sec.
b. Now area of the triangle = 1/2 × base × height
Differentiating with r. t. t,
= 59.5 ft² per sec
Hence, area of the triangle is changing with the rate of 59.5 ft per sec.
