Area of a square is ; 10 * 10 = 100
We have 2 squares so total is 200.
Area of a circle is pi* r^2 = 3.14 * 100 = 314
But we have quarter of a circle so area will be 314/4 = 78.5
Total area of the shape is 200 + 78.5 = 278.5
Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).
It’s 5.75 for 14 oz. It’s answer is 0.41 which is the lowest out of all of them.
Answer:
x = 6/5 or x = -2
Step-by-step explanation:
We need to solve:
|5x+2|=8
We know that |u|=a the u = a and u = -a
Now solving:
|5x+2|=8
5x +2 = 8 or 5x +2 = -8
5x = 8-2 or 5x = -8-2
5x = 6 or 5x = -10
x = 6/5 or x = -10/5
x = 6/5 or x = -2
So, x = 6/5 or x = -2
Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
Learn more about complex number here : brainly.com/question/5564133
#SPJ9
