Answer:
(1)
Step-by-step explanation:
Data given and notation
n=100 represent the random sample taken
estimated proportion with the survey
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Answer:
The value of y is 847 for x=11
Step-by-step explanation:
It is given that y is directly proportional to the square of x
This can be written mathematically as:

Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k

Given that "When x is 5, y is 175"

Putting the value of k

Now putting x = 11

Hence,
The value of y is 847 for x=11
Answer:
The answer is No.
Step-by-step explanation:
The answer is no because an integer is any whole number that isn't a fraction. So this can be positive and still be an integer.
Answer:
21.
Step-by-step explanation:
I don’t know if I’m 100% correct but I got
Exact form x= 103/5
Decimal form x=20.6