Answer: The required probability is 0.1328.
Step-by-step explanation:
Since we have given that
n = 5
Probability of success = p = defective rate = 3% = 0.03
Probability of failure = q = 1-p = 1 - 0.03 = 0.97
So, we will use "Binomial distribution":
probability that the first defective occurs in the fifth item inspected would be
Hence, the required probability is 0.1328.
Answer:
7.
8. l=11cm and w=7 cm
9.
10.
Step-by-step explanation:
Question 7.
The given expression is:
Expand the parenthesis using the distributive property:
Group similar terms:
Simplify
Divide both sides by -10
Question 8:
Let the width of the rectangle be;
The length of the rectangle is
The perimeter is given as:
Given that the perimeter P=36, then:
Divide both sides by 2:
Subtract 4 from both sides:
The dimensions of the rectangle is: w=7 cm and l=7+4=11cm
Question 9
Let the number be x.
"5 fewer than the number" is written as
"5 fewer than a number is at least 12" becomes
Question 10:
Let the number be x.
The quotient of a number and 3 is written as:
The quotient of a number and 3 is no more than 15 is written as;
Answer:
Step-by-step explanation:
The given equation is expressed as
y = 1/(x - 2)
We will assume values for x and determine the corresponding values for y. Therefore,
When x = 0, y = 1/(0 - 2) = - 1/2
When x = 1, y = 1/(1 - 2) = - 1
When x = 2, y = 1/(2 - 2) = 0
When x = 3, y = 1/(3 - 2) = 1
When x = 4, y = 1/(4 - 2) = 1/2
To plot the graph, we would choose a suitable scale for the x and y axis of the graph.
Let 2 cm represent 1 unit on the vertical axis.
Let 2 cm represent 0.5 unit on the x axis.
The graph is shown in the attached photo
