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Eddi Din [679]
3 years ago
9

Please answer right away

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

The third alternative is correct

Step-by-step explanation:

In hypothesis testing, the null hypothesis H0 is the hypothesis of no difference and as such it always contains an equality sign. The equality sign could be either of the following alternatives;

=, equal to

≤, less than or equal to

≥, greater than or equal to

In the question presented the claim is that students who practice taking all of their regular tests on the computer will do better on the state's final exam than the students taking their regular tests by paper and pencil.  

This implies that the average on the state exam of students using paper and pencil tests is less than the average of the students using computer tests. Since the null hypothesis must contain an equality sign, the third alternative becomes our null hypothesis, H0.

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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0
3 years ago
during the 1998-1998 little league season, the tigers played 40. they won 18 more games than they lost.how many games did they w
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