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3 years ago

Find the surface area of a sphere in terms of pi given the radius of 25 inches

1 answer:

5 0

$\bf \textit{surface area of a sphere}\\\\
SA=4\pi r^2~~
\begin{cases}
r=radius\\
-----\\
r=25
\end{cases}\implies SA=4\pi (25)^2\implies SA=2500\pi$

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Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the fi

Leto [7]

Answer:

They boarded the bus in descending alphabetical order: Karen, Jose, Isabel and Harry

Step-by-step explanation:

In order of there name: Harry, Isabel, Jose, and Karen

If Karen was the first to board a bus, this means that Jose will be the second to board the bus, third is Isabel and Harry will be fourth.

It can be concluded that they boarded the bus in descending alphabetical order.

6 0

3 years ago

Read 2 more answers

What is the equation of the line that is

Fantom [35]

Answer:

$y = m_{AB}(X-2)-1$

Step-by-step explanation:

When two lines are parallel means that their slopes are equal. Therefore the line AB will have same slope to a parallel second line, $m_{AB} = m_{2}$ .

To obtain the slope from the line AB, we need two points, so the general equation will be:

$m_{AB} = \frac{y_{B} -y_{A} }{x_{B}-x_{A} }$

The typical equation of a line is written as y = mx + b

The second line will pass through point (2, -1), so we can substitute:

y2 = mX2 + b

-1 = $-1=m_{AB} (2)+b$ (2) + b

then the interception is $b=-m_{AB} -1$

Now to obtain a general equation for the second parallel line will be:

y = $m_{AB}$ X + b

y = $m_{AB}$ X - $m_{AB}$ (2)-1

Finally we get:

y = $m_{AB}$ (x-2)-1

3 0

3 years ago

20 POINTS if you dont know the answer please dont answer 12x+24y=48

Nadya [2.5K]

Answer:

x=2 y=1

Step-by-step explanation:

12 times 2 equals 24

24 time 1 equals 24

24+24=48

8 0

2 years ago

There are 9 candidates total, 5 male and 4 female, who run for 4 committee positions. Suppose that each person is equally likely

gavmur [86]

Use the hypergeometric distribution.
M=number of Men=5
F=number of women=4
m=number of men elected=2
f=number ow women elected=2.

Assuming equal chance to get elected, then
P(2M,2F)=C(M,m)*C(F,f)/C(M+F,m+f)
=C(5,2)*C(4,2)/C(9,4)
=10*6/126
=10/21

Reference: Hypergeometric distribution.

6 0

3 years ago

A one-stop flight from seattle to nyc can stop at boise, omaha, or chicago. the flight then connects to either la guardia or jfk

Sindrei [870]

The first and only stop of the flight can be Boise, Omaha or Chicago. This means there are 3 possibilities where to stop. From thee the flight connects to New York City, either to La Guardia or to JFK Airport.
1 possible route: Seattle-Boise-La Guardia
2 possible route: Seattle-Omaha-La Guardia
3 possible route: Seattle-Chicago-La Guardia
4 possible route: Seattle-Boise-NYC
5 possible route: Seattle-Omaha-NYC
6 possible route: Seattle-Chicago-NYC

Or in other words: There are two airports where the flight can arrive and for each of them there are three possible routes. So, in total there are 2*3=6 possible routes.

3 0

3 years ago