Find the median of the following data set. 1 1/4,5/8 ,3/5 ,1/2 ,1 1/2, 1 3/4

Mathematics

1 answer:

pashok25 [27]2 years ago

8 0

Answer:

1. 7/8

Step-by-step explanation:

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he graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is

Reika [66]

Answer:

The answer is 2

Step-by-step explanation:

Rate of change of function is given by :

$\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}$

For function y = 6,

rate of change =

$=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{6-6}{x_{2}-x_{1}}\\=0$

because the function is independent of x.

For function y = 2·x + 7,

rate of change =

$=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}+7-2\cdot x_{1}-7}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}-2\cdot x_{1}}{x_{2}-x_{1}}\\=\frac{2\cdot (x_{2}-x_{1})}{x_{2}-x_{1}}\\=2$

So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.

8 0

2 years ago

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower? Round answer t

r-ruslan [8.4K]

Answer: Tthe tower is 129 feet tall.

Step-by-step explanation:

According to trigonometry in a right triangle:

$\tan\theta =\dfrac{\text{Side opposite to }\theta}{\text{Side adjacent to }\theta}$

Let x be the height of the tower.

Given , $\theta=65^{\circ}$

Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.

$\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}$