1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goblinko [34]
3 years ago
13

A university's leadership council is made up of members: are students, are teachers, and are deans. A newspaper reporter is plan

ning to select two of the council members for interviews. The first member will be chosen at random, and then the second member will be chosen at random from the remaining members. What is the probability that two deans will be selected?
Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer: 1/26 = 0.0385

Step-by-step explanation:

A university's leadership council is made up of 13 members: 5 are students, 5 are teachers, and 3 are deans. A newspaper reporter is planning to select two of the council members for interviews. The first member will be chosen at random, and then the second member will be chosen at random from the remaining members. What is the probability that two deans will be selected?

Total of combinations: C₁₃,₂ = 78

2 deans: C₃,₂ = 3

Probability: 3/78 = 1/26 = 0.0385

You might be interested in
Equivalent expression of 4(6x+11)-5x
Lerok [7]

Expand: 24x+44-5x

=19x+44

8 0
4 years ago
Please help!! I do not understand this!
jarptica [38.1K]

Answer: C

<u>Step-by-step explanation:</u>

Replace x with -\frac{2}{3} and solve.

f(x) = 3x² - 6x - 1

f(-\frac{2}{3}) = 3(-\frac{2}{3})² - 6(-\frac{2}{3}) - 1

    = 3(\frac{4}{9}) + 4 - 1

    = \frac{4}{3} + 3

    = \frac{4}{3} + \frac{9}{3}

    = \frac{13}{3}

     

8 0
3 years ago
A team of storm enthusiasts collected data to show the relationship between the time between seeing lightning and then hearing t
never [62]

Answer:

Proportionality constant = \frac{1}{5}

Step-by-step explanation:

From the graph attached,

Data set representing the relation between seeing lightning and the hearing thunder is,

{(15, 3), (25, 5), (35, 7), (45, 9)}

Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)

d = kt

Here k = proportionality constant

k = \frac{d}{t}

From the data set one point is (15, 3).

k = \frac{3}{15}

k = \frac{1}{5} miles per second

Therefore, proportionality constant is \frac{1}{5} miles per second.

3 0
3 years ago
Suppose you want to create a set of weights so that any object with an integer weight from 1 to 40 pounds can be balanced on a t
Archy [21]

Answer:

You need 4 weights, and the weights are 1; 3; 9 and 27.

Step-by-step explanation:

<em>Since the scale has two plates, we can place weights on either side and also the object so it can be balanced. </em>

This is a key part of the problem, it's not only on the other side of the scale, but on both sides.

Let's do the math now.

If i get two weights, 1 and 3. I can form this combinations.

Object of 1lb = 1

Object of 2lb + 1 weight = 3 weight.

Object of 3lb = 3 weight

Object of 4lb = 1 weight + 3 weight.

So what if i want to add the next weight and that weight to add me the maximum amount of objects. The weight would have to have a difference with the last object plus one. So if i grab 9. 9 minus 4 is 5. And that is a difference with the last object plus 1.

With a weight of 9, now i can add all the integers up to 13lb.

And the next step? Lets add one more. Keeping the last rule, the weight would have to have a difference with the last object plus one. So if i grab 27, 27 minus 13 is 14. And that is a difference witht the last object plus 1.

The sum of all the weights adds up to 40 pounds. And i can balance any integer in the middle.

The formula we are using is p – n = n + 1

Where p is the new weight. and n is the last object we weighted. And the sum of the weights goes up to the last object we can place on the scale, and in this case is 40.

4 0
4 years ago
16 divided by four fifth
kati45 [8]

Answer:

20

Step-by-step explanation:

16 divided by 4/5 = 20 :)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Help please.........
    15·1 answer
  • Question part points submissions used a 20-ft-by-30-ft swimming pool is filled with water. the depth is measured at 5-ft interva
    8·1 answer
  • Which list shows 0.08,1/3, 0.4, and 37% in order from least to greater?
    10·1 answer
  • You want to buy an item that costs $100. Which is the most cost-effective choice for buying the item?
    14·1 answer
  • What equal 4 kilograms
    7·2 answers
  • Plz help with this! Thx for the help
    9·2 answers
  • Which choice is equivalent to the product below?
    9·1 answer
  • Cindy can decorate 84 ornaments in 14 hour. How many ornaments, per hour, can Cindy decorate? A. 3 ornaments per hour O B. 16 or
    8·1 answer
  • Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)
    12·1 answer
  • What is f(5)?<br> -8<br> -1<br> 1<br> 8
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!