Answer:
a) 658008 samples
b) 274050 samples
c) 515502 samples
Step-by-step explanation:
a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.
So, the number of samples = ⁴⁰C₅ = 658008 samples
b) How many samples of 5 contain exactly one nonconforming chip?
There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways
¹⁰C₁ = 10 ways
then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways
³⁰C₄ = 27405 ways
So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples
c) How many samples of 5 contain at least one nonconforming chip?
The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)
Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples
Total number of samples = 658008
The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples
That sir would be I think its y=mx+b
Absolute value only removes the negative signs. Just multiply the numerator and the denominator
Answer:
the best option would be to swim
Step-by-step explanation:
Hello! To solve this problem we must follow the following steps.
1. remember the concept of uniform motion with constant speed, which establishes the following equation

where
t=time
x=distance
V=speed
2. Calculate the time it takes to swim and calculate the time it takes to walk
walking:
x=10mile
v=5milles/h

swimming
x=1mile
v=3milles/h

3. Compare both results and choose the one with the least time.
as you can see it takes less time swimming, so this would be the best way
Answer:
Amount of input horsepower needed is 279.3 hp.
Step-by-step explanation:
if there is a loss of power of 5% the base horsepower will need to be increased by same percentage so that same amount of power can be delivered.
Now to calculate 5% of 266 hp, we can write
266 ×
= 13.3 hp
Now to deliver same amount of power we will have to add 5% of 266 hp to its actual power.
So real base power which is needed to deliver 266hp output even at a loss of 5% will be = (266+13.3) hp = 279.3 hp
To know more about horsepower and percentage problem:
brainly.com/question/24585630