Answer:
D.10
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solution: We are given data points and associated residuals:
Data Point Residual Absolute value(Residual)
(20,6) -2.00 2.00
(15,5) 6.75 6.75
(5,3) -1.25 1.25
(10,10) 4.50 4.50
From the above absolute value(Residual) column, we clearly see the data point (15,5) has the residual with greatest absolute value of 6.75.
Therefore, the data point and its associated residual is:
(15,5) and 6.75
Answer:
Data Point: (10,10); Residual = 4.50
Answer:
The correct answer should be B!
Step-by-step explanation:
"A rational number is a number that can be express as the ratio of two integers. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational."
"A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)"
"Common Examples of Irrational Numbers
Pi, which begins with 3.14, is one of the most common irrational numbers. ...
e, also known as Euler's number, is another common irrational number. ...
The Square Root of 2, written as √2, is also an irrational number."
Thus leading me to the conclusion that B is the correct answer!
Answer:
210 days
Step-by-step explanation:
There are 7 days in a week and since he goes for 5 weeks every summer, he goes for 35 days every year. Since he has attended for 6 years, multiply 35 by 6 to get 210, the number of days he has attended camp for.
Answer:
210 days
Step-by-step explanation:
Eric has attended 5 weeks summer camp for a year.
They are asking for 6 years
∴6*5 = 30 weeks Eric had totally in 6 years.
But they want the answer in days:
1 week = 7 days
30 weeks = 30*7 = 210 days
(If this helps you I am happy, if there is a mistake let me know.)
Your welcome
The question is incomplete! the complete question along with answer and step by step explanation is provided below.
Question:
A researcher records the repair cost for 8 randomly selected refrigerators. A sample mean of $57.89 and standard deviation of $23.69 are subsequently computed. Determine the 95% confidence interval for the mean repair cost for the refrigerators. Assume the population is approximately normal.
Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Step 2 of 2 : Construct the 95% confidence interval. Round your answer to two decimal places.
Given Information:
Sample mean repair cost = $57.89
Sample standard deviation = σ = $23.69
Sample size = 8
Confidence level = 95%
Required Information:
step 1: critical value = ?
step 2: 95% confidence interval = ?
Answer:
step 1: critical value = 2.365
step 2: 95% confidence interval = ($38.08, $77.70)
Step-by-step explanation:
Since the sample size is less than 30 and the standard deviation of the population is also unknown therefore, we can use the t-distribution to find the required confidence interval.
The confidence interval is given by
Where is the mean repair cost and MoE is the margin of error that is given by
Where n is the sample size, s is the sample standard deviation, and is the t-score corresponding to 95% confidence level.
The t-score corresponding to 95% confidence level is
Significance level = 1 - 0.95 = 0.05/2 = 0.025
Degree of freedom (DoF) = n - 1 = 8 - 1 = 7
From the t-table at α = 0.025 and DoF = 7
t-score = 2.365
Therefore, the critical value that should be used in constructing the confidence interval is 2.365
So the required 95% confidence interval is
Therefore, we are 95% confident that the mean repair cost for the refrigerators is within the range of ($38.08, $77.70)
Find: V and
Surface Area of the cone
Answer:
The volume of the cone is 3π≈9.42.
The surface area of the cone is 9π≈28.27.
Step-by-step explanation:
If we make a section of the sphere and the cone, we have a equilateral triangle inscribed in a circle (see picture attached).
We only know the numerical value of the radius R, that is 2 m.
From the picture, we have
The radius of the base of the cone is
The height of the cone can be calculated as:
The volume of the cone can be calculated as:
The surface area of the cone is: