According to the information, it can be inferred that the volume of the ice cream is close to 207.33 cm³
<h3>How to calculate the volume of the maxicool?</h3>
To calculate the volume of the maxicool, we must calculate the volume of the sphere of ice cream, and the volume of the cone that is filled with ice cream.
<h3>Volumen of the sphere</h3>
V = 
× π × R³
V = × π × 3³
V = 113.09 cm³
<h3>Cone volume</h3>
V = 
× π × R² × <em>h</em>
V = × π × 3² × 10
V= 94.24 cm³
Finally we must add both values to know the total volume of the maxicool.
113.09 + 94.24 = 207.33 cm³
Learn more about volume in: brainly.com/question/13338592
B. 11+11=10+12
11+11 is 22
And 10+12 is 22
So the statement is true because both sides are equal
Answer:
For the student who is studying 10 hours a week is in the 57.93th percentile.
Step-by-step explanation:
Corresponding z-score for the student who studies 10 hours a week can be calculated by the formula
z=
where
- x is the hours student work in a week, which is 10,
- M is the mean studying hour of the class, which is 9.92,
- s is the standart deviation which is 4.54
from here we find that z=
≈0.2
Corresponding percentile for z=0.2 is 57.93
Answer:
y - x = 16
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<u>Step(i)</u>:-
Given data set A is 9,5,y,2,x
<em>Mean of the Data set A </em>
<em> = </em>
<em></em>
<em> = </em>
<em></em>
<em>Given data set B is 8, x, 4, 1, 3</em>
<em>Mean of the Data set B </em>
= 
<u><em>Step(ii):-</em></u>
<em>Mean of the Data set A = 2 X Mean of the Data set B </em>
<em> </em>
<em></em>
<em>On simplification , we get</em>
16 +x + y = 2( 16 +x)
16 + x + y = 32 + 2 x
16 + x + y - 32 - 2 x = 0
y - x -16 =0
y - x = 16
It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
<h3>How to prove a Line Segment?</h3>
We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.
Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.
In ΔPNM, ∠N = 90°
∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)
∠P + ∠M = 90°
Clearly, ∠M is an acute angle.
Thus; ∠M < ∠N
PN < PM (The side opposite to the smaller angle is smaller)
Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
Read more about Line segment at; brainly.com/question/2437195
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