Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 3.5 cm, 7 cm, 10.5 cm B. 3.5 cm, 7 cm
2 answers:
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For the given standard deviation and sample mean the two sided confidence interval on mean diameter foe 95% and 99% is given by ( 1.4983 , 1.5107 ) and ( 1.49635 , 1.51265 ) respectively.
As given in the question,
Confidence interval for population mean is given by:
± z × ( σ / √n)
Where,
σ = population standard deviation.
n= sample size
= Sample mean
Given values from the random sample size are :
σ = 0.01 inches
n= 10
= 1.5045
Critical value confidence interval (using x-value table)
z for 99% = 2.576 and Significance level = 0.01
z for 95% = 1.960 and Significance level = 0.05
99% two-sided confidence interval on the mean hole diameter is equal to :
± z × ( σ / √n)
= 1.5045 ± 2.576 × ( 0.01 / √10)
= 1.5045 ± 0.00815 (approximately)
= 1.5045 - 0.00815 , 1.5045 + 0.00815
= ( 1.49635 , 1.51265 )
95% two-sided confidence interval on the mean hole diameter is equal to :
± z × ( σ / √n)
= 1.5045 ± 1.960 × ( 0.01 / √10)
= 1.5045 ± 0.00620 (approximately)
= 1.5045 - 0.00620 , 1.5045 + 0.00620
= ( 1.4983 , 1.5107 )
Therefore, for the given standard deviation and sample mean the two sided confidence interval on mean diameter foe 95% and 99% is given by ( 1.4983 , 1.5107 ) and ( 1.49635 , 1.51265 ) respectively.
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Answer:
(2,20)
Step-by-step explanation:
The given function is
To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;
For the first point we substitute x=3 and f(x)=250
This is true.
For the second point (2,20), we put x=2 and y=20 to get:
This is false, hence (2,20) does not lie on this curve.
For (1,10), we have:
This is also true
Finally for (2,50), we have;
This is also true.
Answer:
25
Step-by-step explanation:
Given that:
Initial payment done for buying the phone = $50
Charges per month for the phone = $25 per month
To find:
The equation to represent the situation and its slope.
Solution:
First of all, let us assume that represents the number of months for which monthly is to be made.
Charges paid for one month = $25
Charges paid for months = $25
Total cost of the phone = Initial payment + Charges paid for months
It is a linear equation between two variables and
.
This equation can be compared with slope intercept form of a line.
Slope intercept form of a line is represented by:
is the slope.
On Comparing, we get:
Therefore, the slope is <em>25</em>.