Ask question

Ask question

All categories

3 years ago

12

A professor must randomly select 4 students to participate in a mock debate. There are 15 students in his class. In how many dif

ferent ways can these students be selected, if the order of selection does not matter? A. 445 B. 989 C. 32,760 D. 1,365

1 answer:

Vikki [24]3 years ago

7 0

For apex users, the answer is 1,365

You might be interested in

Find the exact volume of the cylinder.

Verizon [17]

Answer:

$\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}$

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

$v= \pi r^2 h$

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

r = d/2
r= 10 ft/2
r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

$v= \pi (5 \ ft)^2 * (8 \ ft)$

Solve the exponent.

5 ft * 5ft = 25 ft²

$v= \pi (25 \ ft^2)(8 \ft)$

Multiply the numbers in parentheses.

$v= \pi (200 \ ft^3)$

$v= 200 \pi \ ft^3$

The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>

5 0

2 years ago

Y = 5x - 10 (solve for x)

worty [1.4K]

Answer:

(y+10)/5

Step-by-step explanation:

You start off by adding 10 on both sides cancelling the 10 on the right side and you get y+10=5x. From there you then divide by 5 on both sides and you get your answer of (y+10)/5.

4 0

2 years ago

There is a number line below and an equation. How do you solve the equation and then put it on the number line?

jasenka [17]

Im sure youve figured it out by now

7 0

2 years ago

Tell whether the lines of the pair of equations are parallel, perpendicular, or neither.

tino4ka555 [31]

First Equation:

$y= -\frac{3}{4} x+2$

Second Equation can be written as:

$y= \frac{3}{4}x+2$

Slope of first equation is -3/4 and slope of second equation is 3/4.
Slope of parallel lines must be equal, and slope of perpendicular lines are the negative reciprocal of each other. None of these conditions can be seen for given two equations.

So, the two lines are neither parallel nor perpendicular.
So correct option is C

7 0

3 years ago

Read 2 more answers

The graph of a proportional relationship contains the point (8, 4).

Softa [21]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
(\stackrel{x}{8}~~,~~\stackrel{y}{4})\implies 
\begin{cases}
x=8\\
y=4
\end{cases}\implies 4=k8\implies \cfrac{4}{8}=k\implies \cfrac{1}{2}=k
\\\\\\
\boxed{y=\cfrac{1}{2}x}$

6 0

3 years ago