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hram777 [196]
2 years ago
8

Five hundred ten of 650 high school students said that pizza was their favorite food in the school cafeteria.

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
7 0

If Five hundred ten of 650 high school students said that pizza was their favorite food. The margin of error is 0.0322.

<h3>Margin of error</h3>

Given:

Sample proportion=Five hundred ten=510

Sample size=650

Hence:

Margin of error=z×√p×(1-p)/n

Margin of error=2√510/650× (1-510/650)÷650

Margin of error=2√0.78461538×(1-0.78461538)÷650

Margin of error=2√0.78461538×0.21538462÷650

Margin of error=2√0.168994085÷650

Margin of error=2√0.0002599909

Margin of error=0.0322

Therefore the correct option is D.

Learn more about margin of error here:brainly.com/question/24289590

#SPJ1

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Marat540 [252]

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 10 x  = 24 ( subtract 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2, since

- 12 × 2 = - 24 and - 12 + 2 = - 10, thus

(x - 12)(x + 2) = 0

Equate each factor to zero and solve for x

x - 12 = 0 ⇒ x = 12

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Solve by substitution. Show each step of your work.
zaharov [31]

5x + y = 15

y = -5x + 15

Substituting y= -5x+15 from first equation into second equation:

3x + 2y = 16

3x + 2·(-5x + 15) = 16

3x - 10x + 30 = 16

-7x + 30 = 16

7x = 30 - 16 = 14

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Substituting x=2 into the first equation:

5x + y = 15

5(2) + y = 15

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y = 15 - 10

y = 5

So your final answers are x=2 and y=5.

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Step-by-step explanation:

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Zielflug [23.3K]

Answer:

x = 8, y = 8\sqrt{2}

Step-by-step explanation:

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8^2+8^2=c^2      Both 8 and x sides are congruent so they're equal.

64+64=c^2      Add 64 + 64.

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the probability is 0.65625, or about 66%


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