Answer:
The conditions for the approximation have been met
Step-by-step explanation:
Random samples on both cases and
p∧o proportion of bags packaged on the old machine that are damaged
p∧n sample proportion of bags packaged on the new machine that are damaged
p∧c = ( p∧o + p∧n ) / (nO + nN )
p∧o = 15 % p∧o = 0,15 nO = 150
p∧o * nO = 0,15 *150 p∧o * nO = 22,5
p∧n = 8 % p∧n = 0,08 nN = 200
p∧n*nN = 0,08 * 200 p∧n*nN = 16
Both p∧n*nN and p∧o * nO are bigger than 5
Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution
Answer:
40%
Step-by-step explanation:
The probability of the arrow landing on the green section is a 40% chance
This is because there are only 3 sections where one is 50 and the other is 10
To find the green we can create an equation, where x = green section
50 + 10 + x = 100
The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise
60 + x = 100
x = 100 - 60
x = 40
50x1/10 equals 50/10 so the answer is 5.
The wide of the model should be approximately 5.194 inches
Step-by-step explanation:
You are building a scale model of a fishing boat
- The boat is 62 ft long
- The boat is 23 ft wide
- The model will be 14 in long
We need to find how wide should it be
∵ The boat is 62 feet long
∵ The model of the boat is 14 inches long
- That means 14 inches represents 62 feet
By using the ratio method
→ Actual (ft) : Model (in)
→ 62 : 14
→ 23 : x
By using cross multiplication
∵ 62 × x = 23 × 14
∴ 62 x = 322
- Divide both sides by 62 to find x
∴ x ≅ 5.194
∵ x represents the wide of the model
∴ The wide of the model is approximately 5.194 inches
The wide of the model should be approximately 5.194 inches
Learn more:
You can learn more about the scale drawing in brainly.com/question/570757
#LearnwithBrainly
Answer:
If Sarah has three times as many pencils as Mike she has 3 times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total: m + 3m.
Step-by-step explanation:
