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icang [17]
3 years ago
14

I need help I will give BRAINLEST

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

25%

Step-by-step explanation:

To solve this, we can use the percent change formula shown in the picture attached below. x_{2} is the new value, x_{1} is the old value, and C represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change:

C = \frac{(80-64)}{64} \\ × 100

C = \frac{16}{64} ×100

C = 0.25 ×100

C = 25%

Thus, the answer is 25%.

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A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
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Answer & Step-by-step explanation:

On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.

\frac{4}{6} or we can write this fraction as \frac{2}{3}

So, the probability of rolling a number less than 5 is \frac{2}{3}

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2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver
timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this problem, we have that:

y = 2x^{2} - 9x - 56

2x^{2} - 9x - 56 = 0

So

a = 2, b = -9, c = -56

Then

\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529

x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8

x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0
3 years ago
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