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
Ymorist [56]
3 years ago
9

Suppose that of 1400 students, 550 take Spanish, 700 take biology, and 400 take both

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
7 0

Answer:

  • <u>17/28</u>

<u></u>

Explanation:

<u>1. Call A the event of selecting a student who takes Spanish and P(A) the corresponding probability:</u>

  • P(A) = number of students who take Spanish / number of students

  • P(A) = 550 / 1400 = 11/28

<u>2. Call B the event of selecting a student who takes biology and P(B) the corresponding probability:</u>

  • P(B) = number of students who take biology / number of students

  • P(B) = 700 / 1,400 = 1/2

<u></u>

<u>3. The joint probability, P(A∩B), is the probability that a student takes Spanish and biology:</u>

  • P(A∩B) = number of students that take both Spanish and biology / number of students

  • P(A∩B) = 400/1400 = 2/7

<u>4. By the properties of probabilities, the probability of the event A or B is:</u>

  • P (A or B) = P (A∪B) = P(A) + P(B) - P(A∩B)

  • P(A or B) = 11/28 + 1/2 - 2/7 = (11 + 14 - 8) / 28 = 17/28

You might be interested in
How many feet are in 13 miles, 176 yards? Enter only the number. Do not include units.
hammer [34]

Answer:

69,168

Step-by-step explanation:

1 mile = 5280 ft

13 miles · 5280 ft = 68,640 ft

1 yd = 3 ft

176 yds · 3 ft = 528 ft

68640 ft + 528 ft = 69,168 ft

5 0
3 years ago
Which expression is equivalent to -3(4x-0.50)?<br> PLEASEEEEEEEEEEEEE HELPPP
Misha Larkins [42]

Final Answer: -12x + 1.5

Steps/Reasons/Explanation:

Question: Which expression is equivalent to -3(4x - 0.50)?

<u>Step 1</u>: Expand by distributing terms.

-3 × 4x - 3 × -0.50

<u>Step 2</u>: Simplify -3 × 4x to -12x.

-12x - 3 × -0.50

<u>Step 3</u>: Simplify 3 × -0.50 to -1.5.

-12x - (-1.5)

<u>Step 4</u>: Remove parentheses and add.

-12x + 1.5

~I hope I helped you :)~

6 0
3 years ago
Someone please help me on number 5
NemiM [27]
I'm pretty sure it's 22%
If it's not, then I'm sorry!!
3 0
2 years ago
Read 2 more answers
J.k. Rowling and R.L. Stone are both ready hunger games . J.k. Reads 35 pages every 2 hours and R.L. Reads 45 pages every 3 hour
san4es73 [151]

Answer:

The rate of change for each reader is :

For J K Rowling :  17 and a half pages per hour

For R L Stone :  15   pages  per hour

Step-by-step explanation:

Here the reading rate of each reader is given as:

J.K. Reads 35 pages every 2 hours.

So, the number of pages read by J K  in 2 hours  = 35 pages

⇒ The number of pages read per hour  =  35 / 2  = 17 . 5 pages

So, the pages read by J K Rowling in 1 hour is 17 and a half pages.

R L Stone reads 45 pages every 3 hours.

So, the number of pages read by R L  in 3 hours  = 45 pages

⇒ The number of pages read per hour  =  45 / 3  = 15 pages

So, the pages read by R L Stone in 1 hour is 15 pages.

Hence, the rate of change for each reader is :

For J K Rowling :  17 and a half pages  per hour

For R L Stone :  15   pages  per hour

5 0
3 years ago
In which equation is y a linear function of x?
SVEN [57.7K]
A. y = 4x - 8
This equation is the only equation out of these that make a linear graph.
6 0
2 years ago
Other questions:
  • 4.1 divided by 7/10 meters
    10·1 answer
  • What is the fifth term of the arithmetic sequence 7,3,-1....
    8·1 answer
  • Multiply<br>4.2<br>x0.6<br><br>Type<br>Type an integer or a decir​
    8·2 answers
  • Please help! Math problem is attached!!
    11·1 answer
  • Determine whether f is a function from the set of all bit strings to the set of integers if
    12·1 answer
  • What is -2(4g-3)=30 I can't figure it out so I need so help
    5·1 answer
  • True OR False<br> The lengths 45, 42, and 15 make a right triangle.
    7·1 answer
  • Which statement best explains whether the table represents a linear or nonlinear function? Input (x) Output (y) −2 7 −5 4 −8 1 −
    12·2 answers
  • Algebraic fractions, Please help me
    6·2 answers
  • Avannah drove 716 miles on Monday. She drove another 572 miles on Tuesday. About how many miles did she drive altogether?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!