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3 years ago

14

1. Savannah recorded the average rainfall amount, in inches, for two cities over the course of 9 months.

1 answer:

NeX [460]3 years ago

4 0

Answer:

n

Step-by-step explanation:

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If a coin is flipped 70 times how many times should it land with tails side face up

Snezhnost [94]

Answer: 35

Explanation:

P(Tail) = 1/2

P(Tail) for 70 times = 1/2 x 70 = 35

5 0

3 years ago

Read 2 more answers

What are the x-intercepts of the circle (x – 3)2 + (y – 4)2 = 24?

borishaifa [10]

(x-3)2+(y-4)2=24
2x-6+2y=24
2x-14+2y=24
2x=24+14-2y
2x=38-2y
x=19-y

5 0

3 years ago

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Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ .

Now, we calculate the average rate of change ( $r$ ), dimensionless, between $x = -2$ and $x = 8$ by using the formula of secant line slope:

$r = \frac{y(8)-y(-2)}{8-(-2)}$

$r = \frac{y(8)-y(-2)}{10}$

$x = -2$

$y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}$

$y(-2) = 0$

$x = 8$

$y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}$

$y(8) = -40$

$r = \frac{-40-0}{10}$

$r = -4$

The average rate of change of the parabola is -4.

3 0

3 years ago

A horse is free to roam and feed in an enclosed pasture that is 150 feet by 200 feet. At any given time, what is the probability

barxatty [35]

25/250 = 1/10

I do not know that much english. I an spanish so I might have done it wrong.

8 0

3 years ago

Test Number 2: This test tests how smart the users on the website is<br><br> C=5/9(F−32)

joja [24]

Step-by-step explanation:

c=5/9(f-32) can also be written as c = 5(f - 32)/9.

Multiply each side by 9.

That gives us 9c = 5(f - 32).

Apply distributive rule on the right side.

9c = 5f - 160

Add 160 to the left side.

9c + 160 = 5f

Lastly, divide both sides 5.

(9c + 160)/5 = f

4 0

3 years ago