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:
How many crayons are there in total? The answer is 9 boxes multiplied by 8 crayons which equals 72 total crayons.
Based on the definition of congruent angles, the value of x is: 23.
<h3>What are Congruent Angles?</h3>
Congruent angles have the same measure. Examples of angles that are congruent are:
- Alternate interior angles
- Alternate exterior angles
- Corresponding angles
Thus:
(5x + 16) = (6x - 7) -- congruent angles
Combine like terms
5x - 6x = -16 - 7
-x = -23
x = 23
Therefore, based on the definition of congruent angles, the value of x is: 23.
Learn more about congruent angles on:
brainly.com/question/1675117
Answer:
Scalene triangle (As the definition says)