<span>In order for an equation to have an infinite number of answers, the simplified equation should be x=x. In evaluating the above equation, -3 inserted in the box results in this simplified equation. The answer is therefor #1: -3</span>
$78.17 rounds to $78
15% of $78 = $11.70 which rounds to $12
Answer:
a) -1.25
b) 0.2112
c) -1.96
Step-by-step explanation:
Data provided in the question:
Sample size, n = 400
H0 : p = 20
= 175
Now,
a) The test statistic is given as:
Z = 
on substituting the respective values, we get
Z = 
= -1.25
b) The p-value = 2 × P(Z <-1.25)
Now from the standard normal table
P(Z <-1.25) = 10.56% = 0.1056
Thus,
p-value = 2 × 1056 = 0.2112
c) for a = 0.05,
the critical value is 
i.e 
Now from standard normal table
= -1.96
Answer:
Between 79.2 and 84.8.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 82, standard deviation of 2.8.
In what range would you expect to find the FBG of 68% of your study participants?
By the Empirical Rule, within 1 standard deviation of the mean, so:
82 - 2.8 = 79.2
82 + 2.8 = 84.8
Between 79.2 and 84.8.
The conclusion drawn from the study is instance because the sample is homogenous and an experimental study was performed.
<h3>What is an experimental study?</h3>
An experimental study deals with a dependent variable and there is a dependent variable.
Also, a control is used to establish the validity of the results.
The dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.
The conclusion drawn from the study is instance because the sample is homogenous and an experimental study was performed.
Learn more about the experiment:
brainly.com/question/9199868
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