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natali 33 [55]
3 years ago
9

For women at hartford college, times to run 400 meters are normally distributed with a mean of 84 seconds and a standard deviati

on of 7 seconds. what percentage of the times are more than 91 seconds? more than 63 seconds?
Mathematics
1 answer:
pashok25 [27]3 years ago
4 0


z=(63-84)/3= -21/7= -3
P(x>63)=p(z > -3) = .9987 or 99.87%
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Which equation is equivalent to √x^2+81 = x+10
jeka57 [31]

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2

By definition:(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2

x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100

Thus, x ^ 2 + 81 = x ^ 2 + 20x +100 is equivalent to \sqrt {x ^ 2 + 81} = x + 10

Answer:

x ^ 2 + 81 = x ^ 2 + 20x +100

Option D

4 0
3 years ago
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16. Solve -3x2 - 9x + 12 = 0.
AURORKA [14]

Given :

  • -3x² - 9x + 12 = 0

To find :-

  • Value of x .

Solution :-

Given equation ,

  • -( 3x² + 9x -12 ) = 0
  • 3x² + 9x - 12 = 0
  • 3x² + 12x - 3x - 12 = 0
  • 3x ( x +4) -3( x +4) = 0
  • (3x -3)(x +4) = 0
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7 0
2 years ago
The radius of a circle measures 12 centimeters.<br> What is the circumference of the circle?
Travka [436]

Answer:

C=24π

Step-by-step explanation:

C=2πr

C=2π12

C=24π

≈75.39

8 0
2 years ago
What is the value of |−44|?
yan [13]
Absolute value is simply the distance from zero on a number line. -44 is 44 away from zero, so the absolute value of -44 is

44
8 0
3 years ago
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Hello, happy Friday, I am just here with some geometry questions.
irga5000 [103]

Answer:

VW = 43.2

Step-by-step explanation:

First, we can see that VZ = 88 - 55 = 33.

Then by the Triangle Proportionality Theorem, we can write that:

\displaystyle \frac{55}{33}=\frac{72}{VW}

Simplify:

\displaystyle \frac{5}{3}=\frac{72}{VW}

Cross-multiply:

216=5VW

So:

\displaystyle V=\frac{216}{5}=43.2

3 0
2 years ago
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