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Vaselesa [24]
3 years ago
8

Three research departments have 9, 7, and 10 members, respectively. Each department is to select a delegate and an alternate to

represent the department at a conference. In how many ways can this be done?
Mathematics
1 answer:
aivan3 [116]3 years ago
3 0
Work:
First department: (They have 9 possibilities for delegate and 8 for alternate)
9 * 8 = 72
Second department: (They have 7 possibilities for delegate and 6 for alternate)
7 * 6 = 42
Third department: (They have 10 possibilities for delegate and 9 for alternate)
10 * 9 = 90
Total possibilities:
72 * 42 * 90 = 272,160 possibilities

I hope this helps!
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The domain of f(x) = -2x + 5 is {-2, -1, 0, 1, 2}. What is the range.?
Naily [24]

Answer:

{9, 7, 5, 3, 1}

Step-by-step explanation:

All you do is plus in each domain value in for the x and you get the range every time.

-2(-2)+5

-2(-1)+5

-2(0)+5

-2(1)+5

-2(2)+5

3 0
3 years ago
Jennifer has a taco stand.she found that her daily costs can be modeled by C(x)=x^2-40x+610. if she wants to keep her daily cost
Svetllana [295]
Plug in 300 for C(x), to get:
300=x^{2} -40x=610
Then subtract to get: 0=0= x^{2} -40x+310
Then use the quadratic formula and plug everything in. Use a calculator to simplify.

You'll get two answers: 29.486 and -0.513.
Since you can't sell <em>"negative" </em>tacos, use the positive solution
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8 0
3 years ago
Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p
IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}

First, let's isolate x in equation A:

\begin{gathered} x+y=11 \\ x=11-y \end{gathered}

Now, we will replace where's x by 11-y in equation B:

\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\  \\ y=4 \end{gathered}

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

5 0
1 year ago
What is the slope of the line in the graph?
Goshia [24]

Answer:

My answer would be y=2x+1

Step-by-step explanation:

7 0
2 years ago
When a frequency distribution is exhaustive, each individual, object, or measurement from a sample or population must appear in
KiRa [710]

Answer:

a. True

Step-by-step explanation:

The frequency distribution is a summary of the gathered data set, in which the interval of values is divided into classes.

A requirement for a frequency distribution is for the classes to be mutually exclusive and exhaustive. That is, each individual, object, or measurement in the data set must belong to <em>one and only one</em> class.

Then, we can conclude that each individual, object, or measurement must appear in at least one (in fact, only in one) category or class.

4 0
3 years ago
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