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inessss [21]
3 years ago
5

Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly. Who earned th

e higher score? Explain
Mathematics
1 answer:
Llana [10]3 years ago
3 0

Liz scored higher.

Step-by-step explanation:

Given,

Correct answers by Austin = 92%

Total questions = 50

Correctly answered by Liz = 47

Percent of Liz's correct answers = \frac{Correct\ answers}{Total\ questions}*100

Percent of Liz's correct answers = \frac{47}{50}*100

Percent of Liz's correct answers = \frac{4700}{50} = 94\%

As 94% is higher than 92%, therefore;

Liz scored higher.

Keywords: percent, division

Learn more about division at:

  • brainly.com/question/8772395
  • brainly.com/question/8753703

#LearnwithBrainly

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Find the x- and y- intercepts of parabola y=5x^2-16x+10
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Y-INTERCEPT

y = 5x^2 - 16x + 10

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To find the y-intercept:

\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0

We need to use the quadratic formula

The quadratic formula helps us find what values of x make the equation = 0

Quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\

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Answer:

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The equation of the circle is:

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y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

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