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:
0.002
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
0.002
HOPE THAT HELPED YOU GOOD LUCK :)
Answer:
x + 6
Step-by-step explanation:
Edit:
A moderator mentioned my answer had a mistake: turned out the question posted was incomplete. The complete question should read:
"
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
x – 6
x – 3
x + 1
x + 6
"
As shown in the same graph, f(x) cross the x-axis at x = -6, -3 and 0.
When a polynomial crosses the x-axis at x = a, (x - a) must be a factor.
So (x + 6), (x + 3) and x are factors of f(x).
Of the options, the correct answer is x + 6.
The complete question with verified answer is here: brainly.com/question/3875529
Answer:
The number of customers that would need to come in the café for the company to break even is 470.
Step-by-step explanation:
Given
Revenue = y = 10x ……………….…. (1)
Cost = x = 4,700 + 2x ……………… (2)
Since the company will break even when Revenue is equal to Cost, we therefore equate equations (1) and (2) and then solve for x as follows:
10x = 4,700 + 2x
10x - 2x = 4,700
x = 4,700 / 10
x = 470
Therefore, the number of customers that would need to come in the café for the company to break even is 470.
Answer:
If the walls are the standard 8 feet tall and the room is square, then:
the wall length and width is both 7 feet.
The area of the walls would be 4x7x8 = 224 ft² (also providing there are no doors or windows)
