Answer:
63
Step-by-step explanation:
Answer:
rational
Step-by-step explanation:
Answer: No, the normal curve cannot be used.
Step-by-step explanation:
The theorem of the Normal approximation states that if X is B(n,p) then for large n X is N(np, np(1-p)).
The accuracy of this approximation is good
i. for n > [10/p(1-p)]
ii. p is close to 1/2
Hence given p= 4% = 0.04,
q = 1 - 0.04 = 0.96
Let N = [10/p(1-p)]
We find N = 10/p(1-p) = 10/(0.04× 0.96)
N ~= 260
Since n < 260 and p < 0.5
The approximation is not a good one
Answer:
Step-by-step explanation:
a) The sum of the angles in a triangle is 180 degrees. This means that
Angle A + angle B + angle C = 180
Therefore,
3x + 28 + 5x + 52 + 2x - 10 = 180
Collecting like terms, it becomes
3x + 2x + 5x + 28 + 52 - 10 = 180
10x + 70 = 180
Subtracting 70 from both sides of the equation, It becomes
10x + 70 - 70 = 180 - 70
10x = 110
Dividing both sides of the equation by 10, It becomes
10x/10 = 110/10
x = 11
b) angle C = 2x - 10 = 2 × 11 - 10
Angle C = 22 - 10 = 12 degrees
The first step for finding out whether or not this expression is equivalent to

is to reduce the fraction with

. You can begin to do this by dividing the terms with the same base by subtracting their exponents.

Subtract the exponents.

Now reduce the fraction with

by doing the same process. Since I just showed you how to do this,, I will skip over this.

Since we cannot simplify this expression any further,, your answer is going to be

,, which is not equivalent to

.
Let me know if you have any further questions.
:)