Answer:
(a) The exact value that is 33% of 2302 is 759.66.
(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.
(c) The actual number of adults who said that they play basketball is 760.
(d) 11.82% of respondents said that they only play hockey.
Step-by-step explanation:
We are given that a polling company reported that 33% of 2302 surveyed adults said that they play basketball.
(a) The exact value that is 33% of 2302 is given by;
=
= 759.66
(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.
(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}
(d) It is given that among the 2302 respondents, 272 said that they only play hockey.
Percentage of respondents who said that they only play hockey is given by;
=
= 11.82% ≈ 12%
Answer:
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Answer:
A,C,D,E
Step-by-step explanation:
The first one is true because in fact, supplementary angles' measures add up to 180°.
The second one is false because there are 5 types, not 3. These are the types:
acute angle-an angle between 0 and 90 degrees.
right angle-an 90 degree angle.
obtuse angle-an angle between 90 and 180 degrees.
straight angle-a 180 degree angle.
reflex angle- a angle between 180 and 360 degrees.
Third is true too because linear pair means two angles that form a straight line, or 180°.
Fourth is true because straight Angle theorem states that all the straight angles are 180 degrees. If the legs are pointing exactly in the opposite directions, then it forms a straight angle.
Last one is true because by definition complementary angles always form a right angle, which is 90°.
Hope it helps!
Answer:
x²/2166784 +y²/2159989 = 1
Step-by-step explanation:
The relationship between the semi-axes and the eccentricity of an ellipse is ...
e = √(1 -b²/a²)
In order to write the desired equation we need to find 'b' from 'e' and 'a'.
__
<h3>semi-minor axis</h3>
Squaring the equation for eccentricity gives ...
e² = 1 -b²/a²
Solving for b², we have ...
b²/a² = 1 -e²
b² = a²(1 -e²)
<h3>ellipse equation</h3>
Using the given values, we find ...
b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989
The desired equation is ...
x²/2166784 +y²/2159989 = 1