A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What p
1 answer:
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Answer:
The correct answer is:
(a) 0.54
(b) 0.0385
Step-by-step explanation:
Given:
Restaurant tax,
p = 0.54
Sample size,
n = 168
Now,
(a)
The mean will be:
⇒ μ
(b)
The standard error will be:
=
=
=
=
Answer:
Step-by-step explanation:
Since, here the length of the rectangle is represented by the function l(x) = x + 24,
While the breadth of the rectangle is represented by the function w(x) = x + 16.
And, we know that the area of the rectangle = length of the rectangle l(x) × breadth of the rectangle.
a(x) = l(x) × w(x)
a(x) = (x + 24) × (x + 16)
Answer:
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Step-by-step explanation:
Qaudratics are in the form
Where a, b, c are constants
Now, let's arrange this equation in this form:
Where
a = 1
b = 4
c = -32
We need to know the discriminant to know nature of roots. The discriminant is:
If
- D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
- D > 0, we have 2 distinct roots/solutions and both cut the x-axis
- D < 0, we have imaginary roots and it never cuts the x-axis
Let's find value of Discriminant:
Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.
We get the roots/solutions by factoring:
Thus,
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4