Hi there!
Find the midpoint using the midpoint formula:
m = (p1 + p2) / 2
m = (-2 + 12) / 2
m = 10 / 2
m = 5.
Answer:
3.83
Step-by-step explanation:
Mean of x = Σx / n
Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2
Sum of square (SS) :
(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8
Mean of y = Σy / n
Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2
Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8
df = n - 2 = 5 - 2 = 3
Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6
√(Σ(y - ybar)² / df) = √1449.6 = 38.074
Standard Error = √(Σ(y - ybar)² / df) / √SS
Standard Error = 38.074 / √98.8
Standard Error = 3.83
Answer:
Step-by-step explanation:
R(2,3) T(-3,-2) S(2,-2) here are your points.
The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
<h3>What is the volume of the sphere?</h3>
The volume of the sphere is the amount of space occupied within the sphere.
Volume of sphere is expressed as;
V = (4/3)πr³
Where r is the radius and π is pi ( π = 3.14 )
Given that;
- Diameter of the sphere d = 18cm
- Radius r = d/2 = 18cm/2 = 9cm
- Constant pi π = 3.14
- Volume V = ?
V = (4/3)πr³
V = (4/3) × 3.14 × 9cm)³
V = (4/3) × 3.14 × 729cm³
V = 3052.1cm³
Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
Learn more about volume of hemisphere here: brainly.com/question/3362286
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Using it's concept, the probability of choosing a number that is a multiple of 9 is of 0.111.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
From 1 to 81, there are 81 numbers, of which 81/9 = 9 are multiples of 9, hence, considering that 81 is the number of total outcomes and that 9 is the number of desired outcomes, the probability is given the following division:
p = 9/81 = 1/9 = 0.111.
More can be learned about probabilities at brainly.com/question/14398287
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