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).
Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:
Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:
Complete the square as following:
Now you must rewrite it as following:
Then:
h=7
Answer:
4:7
Step-by-step explanation:
8 : 14
8/2 : 14/2
= 4 : 7
Answer:
3x+85= 21
or, 3x= 85- 21
or, 3x= 64
or,x= 64/3
;. x= 21.3
Step-by-step explanation:
the value of x is 21.3
Answer:
Step-by-step explanation:
1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)
2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)
3) y║z (Given)
4) ∠1 ≅ ∠5 (alternate interior angles theorem)
5) ∠3 ≅ ∠6 (alternate interior angles theorem)
6) Since m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
