√65Explanation:(−5,1)=x1,y1(3,0)=x2,y2The distance is calculated using formula:'Distance =√(x2−x1)2+(y2−y1)2=√(3−(−5))2+(0−1)2=√(3+5)2+(−1)2=√(8)2+(−1)2=√(64+1)Distance =√65
Answer:
Step-by-step explanation:
As far as I know, this question is not correct. I have the searched the internet and found a similar question which makes sense. In the correct question, 95% Confidence Interval is already given calculated from the software and
<em>95% prediction interval is asked (PI) for the weight of one male long tailed finch weighing 20 g.</em>
We have this data given in the correct question found on internet. And they have calculated this data using software:
New Obs = 20
Fit = 92.34
SE Fit = 5.26
95% Confidence Interval = (81.29, 103.38)
95% Prediction Interval = (67.61, 117.06)
Now, Just look at the prediction interval:
Now the formula for Prediction Interval = Point Estimate ± Margin of Error
Upper limit for prediction interval = 117.06
lower limit = 67.61
Formula for point estimate = (Upper + Lower)/2
Point Estimate = (117.06 + 67.61)/2
Point Estimate = 92.34
Formula for margin of error = (Upper - Lower)/2
Margin of Error = (117.06 - 67.61)/2
Margin of Error = 24.72
Formula for Prediction Interval = Point Estimate ± Margin of Error
PI = 92.34 ± 24.72
Answer:
Fraction form- 2/5
Decimal form- 0.4
Step-by-step explanation:
Distribute.
Have a good day!
Answer:
Quadrilateral MNOP is a rectangle.
Step-by-step explanation:
Answer:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Step-by-step explanation:
We proceed to solve algebraically and explain each step:
1)
GIven
2)
Commutative property
3)
Distributive property/Definition of addition
4)
Definition of addition
5)
Compatibility with addition
6)
Existence of additive inverse/Modulative property
7)
Compatibility with multiplication
8)
Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Hence, we have the following answers:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result