Answer:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
This means that 
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Given that volume is:
V=s³
where:
s=side length
The volume of a cube whose side length, s=3/4 yards will be given by:
V=(3/4)³
Simplifying this we get:
V=27/64 yd³
Answer: 27/64 yd³
Answer:
The model does not fits the data well.
Step-by-step explanation:
Correlation:
- Correlation is a technique that help us to find or define a relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity
- A negative correlation means with increase in one quantity the other quantity decreases.
R-square, 
- The quantity R-squared is an indicator of the predictive power of a model.
- It explains the variation in the dependent variable due to independent variable.
- It shows how well the model fits the data.
- R-squared is also known as the coefficient of determination.
Therefore, only 36% of the variations in the dependent variable is explained by the independent variable in the model which means more than 50% of variation cannot still be explained in the dependent variable.
Hence, the model does not fits the data well.
Answer:
we know that
the equation of the circle is of the form
(x-h)^2+(y-k)^2=r^2
where
(h,k) is the center of the circle
r is the radius of the circle
in this problem we have
(x+5)^2+(y-k)^2=r^2
so
the center is the point (-5,3)
the radius is 4 units
therefore
the answer is
The radius of the circle is equal to 4 units
Answer:
is there a picture to this problem?
