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
algol13
1 year ago
12

The mathematics department of a college has 15 male professors, 9 female professors, 6 male teaching assistants, and 12 female t

eaching assistants. if a person is selected of random from the group, find the probability that the selected person is a professor or a male. The probability is?
Mathematics
1 answer:
Vesnalui [34]1 year ago
7 0

Given:

The number of male professors = 15.

The number of female professors = 9.

The number of male teaching assistants = 6.

The number of female teaching assistants = 12.

A person is selected randomly from the group.

Required:

We need to find the probability that the selected person is a professor or a male.

Explanation:

The total number of people in the group = 15+9+6+12 = 42

n(S) =The total number of people in the group

n(S)=42

Let A be the event that the selected person is a professor or a male.

The number of people who are professors or male = 15+9+6 = 30

n(A)= The number of people who are professors or male.

n(A)=30

Let P(A) be the probability that the selected person is a professor or a male.

P(A)=\frac{n(A)}{n(S)}P(A)=\frac{30}{42}P(A)=\frac{15}{21}=\frac{5}{7}

Final answer:

The probability that the selected person is a professor or a male is 5/7.

You might be interested in
Item 5 Let f(x)=2 (3) x+1 +4 . The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x) . What is th
insens350 [35]

Answer:

g(x)=4(3)^{x+1}+8

Step-by-step explanation:

Given:

The original function is given as:

f(x)=2(3)^{x+1}+4

The above function is stretched vertically by a factor of 2 to form the graph of g(x).

According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:

f(x)\to Cf(x)

Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.

Here, the the value of 'C' is 2. So, the equation of g(x) is given as:

g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8

Therefore, the equation of g(x) is g(x)=4(3)^{x+1}+8.

8 0
3 years ago
In May, the school store sells 80 erasers. In June, the store sells only 16 erasers. What is the percent of change in erasers so
lawyer [7]

Answer:  80%

Step-by-step explanation:

Since we have given that

Number of erasers sold in May = 80

Number of erasers sold in June = 16

Decrement in 1 month gap is given by

16-80=-64

So, Percentage of change in erasers sold from May to June is given by

\frac{-64}{80} × 100

= -80% (Decreased 80%)

4 0
3 years ago
2m = 1 + m what do I need to do to solve
devlian [24]

So all you need to do is subtract m from both sides.

Then you have your answer

m = 1

I hope this helps

-ayden

4 0
3 years ago
Read 2 more answers
Help me Please! Find the volume and surface area for all.
HACTEHA [7]

Answer:

V =41.41³

A = 94.41²

----

V =225.16³

SA =283.25²

----

V = 64³

SA =113.32²

----

V =433.33³

SA = 378.57²

Step-by-step explanation:

Picture 2 = a = 1/2 base = 3.5 x 3.5 = 12.25  b= 5 x 5 = 25

c²= a² + b² = 3.5² + 5²

c ²= √12.25 + √25

c ²= √ 37.5 = 6.12372435696

c ² = 6.1237   missing side

Picture 1 + 2  formula SA = bh + (s1 + s2 + s3)H

V =  V= 1/2 b x h  h x SA

Picture 3 + 4  formula SA= a²+ 2a   a² / 4 + h²    V= a²  h/3

5 0
3 years ago
Factor completely.
antiseptic1488 [7]

Answer:

B

Step-by-step explanation:

Given

y² - 12y + 32

Consider the factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)

The factors are - 4 and - 8, since

- 4 × - 8 = 32 and - 4 - 8 = - 12, thus

y² - 12y + 32 = (y - 4)(y - 8) → B

6 0
3 years ago
Read 2 more answers
Other questions:
  • In order to drive a person must be over 15 years old. how old can they be?
    6·2 answers
  • For exercise, mr.harris walked 1 and 3 fourths miles 5 times last week.how many miles did he walk in all?
    11·2 answers
  • Plz asap surface area and volume of this shape
    11·1 answer
  • George made a conical hat to match his costume for a party. The hat has a slant height of 14 inches and a base circumference of
    13·1 answer
  • Find the slope (3,2) and (5,1)
    10·1 answer
  • Find 80% of 75 using a fraction.
    15·1 answer
  • I got so many points, so i wanna give some away!!
    13·2 answers
  • In a race, Jason's position was -11 1/5 feet relative to the leader after 1 3/4 minutes. On average, how much did Jason's positi
    12·1 answer
  • 1. Find the areas of these trapezia by first finding x using
    9·1 answer
  • Please help show work I beg<br><br> A 50 <br> B 13<br> C 12 <br> D 51
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!