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
grin007 [14]
3 years ago
5

Suppose that a certain college class contains students. Of these, are juniors, are mathematics majors, and are neither. A studen

t is selected at random from the class. (a) What is the probability that the student is both a junior and a mathematics major
Mathematics
1 answer:
ipn [44]3 years ago
7 0

Answer:

<h2>2/5</h2>

Step-by-step explanation:

The question is not correctly outlined, here is the correct question

<em>"Suppose that a certain college class contains 35 students. of these, 17 are juniors, 20 are mathematics majors, and 12 are neither. a student is selected at random from the class. (a) what is the probability that the student is both a junior and a mathematics majors?"</em>

Given data

Total students in class= 35 students

Suppose M is the set of juniors and N is the set of mathematics majors. There are 35 students in all, but 12 of them don't belong to either set, so

|M ∪ N|= 35-12= 23

|M∩N|=  |M|+N- |MUN|= 17+20-23

           =37-23=14

So the probability that a random student is both a junior and social science major is

=P(M∩N)= 14/35

=2/5

You might be interested in
Slove the followings.
DaniilM [7]

2. The number of adults who live in the house is <em>3</em><em> </em>(1,200/400).

3.a. If an adult recycled the <em>glass, paper, and card</em> that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.

b. If the adult, in addition, had a <em>composite for vegetable and decomposable material</em>, he will generate 152 kg (400 kg x (1 - 62%).

Data and Calculations:

1 ton = 1,000 kg

Weight of rubbish produced by an adult per year = 400 kg

Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)

Percentage of Vegetable and decomposable material = 20%

Percentage of glass, paper, and card = 42% (33% + 9%)

Learn more: brainly.com/question/14954924

7 0
3 years ago
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This dist
alexira [117]
<h3>Answer:   83.85%</h3>

This value is approximate.

==========================================================

Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.

5 0
3 years ago
Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
Is it proportional or nonproportional
azamat

4 is the proportion because 8 + 4 is 12 then keep adding 12 + 4 = 16 + 4 = 20 So that mean it is proportional I hope that helps.

6 0
3 years ago
What is 12/21 divided by 3/14
sladkih [1.3K]
To do this problem, you gotta cross-multiply. SO, \frac{12}{21} multiplied by \frac{14}{3}

12 times 14 = 168
21 times 3 = 63
Then the final answer is \frac{168}{3}
5 0
3 years ago
Other questions:
  • Lesson Check (4.NF.30) 1. Reggie is making a double-layer cake. The recipe for the first layer calls for 2. Kat 21 ups of sugar.
    12·1 answer
  • Can you sub to Pooi thegreat on yt?
    11·2 answers
  • Find the value of the variable and GH if H is between G and I. GI = 5b + 2, HI = 4b – 5, HI = 3
    11·1 answer
  • Well is their an answer? I thought it was 35% but that’s not an option
    10·1 answer
  • What is the slope of the line y = 1?
    9·2 answers
  • Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) she can raise wit
    15·2 answers
  • F(x) = x2. What is g(x)?<br><br> pls help it’s due soon!!
    14·1 answer
  • HELP ME PLZ I NEDD A ON ThIS SO GET ME RIGHT I WELL GIVE BAIRELEST thank you
    6·2 answers
  • What is the solution <br><br> options:<br> a. (-2,-2)<br> b. (-1,-5)<br> c. (-5,-1)<br> d. (2,-1)
    5·1 answer
  • Michael earned $15 per lawn he mowed this month plus an additional $55 in tips. He earned more than $205 in total. Which inequal
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!