9514 1404 393
Answer:
110 units
Step-by-step explanation:
Fill in the given value and solve for x.
c = x^2 -10x +35
11035 = x^2 -10x +35
11025 = x^2 -10x +25 = (x -5)^2 . . . . subtract 10 to complete the square
x = 5 +√11025 = 5 +105 . . . . find the positive solution
x = 110
The number of units manufactured at a cost of 11,035 is 110 units.
Answer:
Step-by-step explanation:
Given: The area of a city = 598 square miles
The population of city = 21,500 people.
The population density for a city is given by :-
Hence, the population density of a city =
15(25-5a)=4-a
375-75a=4-a
Add 75a to both sides
375= 4+74a
Subtract 4 from both sides
371=74a
Divide both by 74
5.01=a
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample proportions for a proportion p in a sample of size n has
In this problem:
- The proportion is of 55%, hence
- The sample has 300 adults, hence
Then, the <u>mean and the standard error</u> are given by:
The probability is the <u>p-value of Z when X = 0.5,</u> hence:
By the Central Limit Theorem
has a p-value of 0.0409.
0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
A similar problem is given at brainly.com/question/25800303
Answer:
Z^6
z to the 6th power
Step-by-step explanation: