All categories

3 years ago

Suppose you have been assigned to measure the height of the local water tower.

Mathematics

1 answer:

Usimov [2.4K]3 years ago

5 0

The water tower is 62.8 meters tall :))

You might be interested in

You want to buy a pet rabbit that costs $242. You already have $62 and you plan to save $12 per week. If w represents the num

Maksim231197 [3]

Answer:

A. 62 + 12w = 242

hope it can help you

7 0

3 years ago

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

In the United States, 40% of the population have brown eyes (based on data from Dr. P. Sorita Soni at Indiana University). If 14

Sav [38]

Answer:

0.0006087 (4 sf)

Step-by-step explanation:

Binomial distribution: X ~ B(n, p)

where n is the number of trials and p is the probability of success

Let the random variable X be the number of people with brown eyes

n = 14

p = 40% = 0.4

Therefore, X ~ B(14, 0.4)

P(X ≥ 12) = 1 - P(X ≤ 11)

= 1 - 0.9993913226...

= 0.000608677...

4 0

1 year ago

I really need help if for a test plz help

Inga [223]

171.248 Answer:

Step-by-step explanation:

You need to divide 600 by .35

Answer is

3 0

3 years ago

A sphere with a radius of 4 cm is enlarged by a scale factor of 2. What is the approximate volume of the new sphere in cubic cen

Lisa [10]

$\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ \stackrel{original}{r=4}\\ \stackrel{enlarged}{r=(4)(2)} \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (\stackrel{enlarged}{~~(4)(2)~~})^3}{3} \\\\\\ V=\cfrac{2048\pi }{3}\implies V\approx 2144.66~cm^3 \end{array}$

5 0

1 year ago