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
ANTONII [103]
3 years ago
8

In the class of 40 students,18 passed mathematics,19 passed account,16 passed economics,5 passed mathematics and accounts only ,

2 passed accounts and economics only. if each student offered at least one of the subject
a: how many students failed in all the subjects
b: find the percentage number who failed in at least one of economics and mathematics
C: calculate the probability that a student selected at random failed in accounts..​

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

A) 4 students

B) 32.5%

C) 19/40

Step-by-step explanation:

Using set notation to solve the problem with universal set n(U) = 40

Let n(A) be the number of students that pass account

n(E) be the number of students that pass economics

n(M) be the number of students that pass mathematics

n(AUEUM)' be number of students that failed in all the 3 subjects.

n(AUEUM) be number of students that pass in all the 3 subjects.

n(U) = n(AUEUM)+ n(AUEUM)'

Find the remaining solution in the attachment

You might be interested in
Find the inverse of f(x) = 2x³ – 4.
VladimirAG [237]

Answer:

6(2x)²=24x²

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less tha
Debora [2.8K]

Answer:

2

Step-by-step explanation:

Count the spins

7 0
3 years ago
Byers Auto is selling a new minivan that has a base price of $22,510. The
eduard
Answer:
-What is the sticker price of the vehicle? $31,342
-Find the dealer's percent of the base price: $20,484
-Find the dealer's percent of the options price: $7,094
-What is the estimated dealer's cost? $28,348
5 0
3 years ago
The perimeter of a rectangular field is 52 yards. The length is 4 more yards than the width. Find the length and width of the fi
hichkok12 [17]

:) Brainliest pls?

Answer:

D.

Width = 11 yards

Length = 15 yards

Step-by-step explanation:

P = 2(l + w)

Consider the width to be x.

The length would then be x+4.

We know that P = 52 yd

52 = 2(x + x + 4)

52 = 2(2x + 4)

52 = 4x + 8 (Subtract 8 from both sides)

44 = 4x (Divide both sides by 4)

x = 11

The width is x, so the width is 11 yards.

The length is x+4, so the length is 15 yards.

8 0
4 years ago
What is an equation of the line that passes through the point (-4,-6) and is perpendicular to the line 4x+5y=25
elixir [45]

Answer:

y =  \frac{5}{4} x - 1

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

First rewrite the equation of the given line in the form of y=mx +c.

4x+5y=25

5y= -4x +25

y =  -  \frac{4}{5} x + 5

The gradient of the given line is -  \frac{4}{5}

The product of the gradient of perpendicular lines is -1.

( -  \frac{4}{5} )(gradient \: of \: line) =  - 1 \\ gradient \: of \: line =  - 1  \div ( -  \frac{4}{5} ) \\ gradient \: of \: line =  \frac{5}{4}

Thus, m= \frac{5}{4}

y =  \frac{5}{4} x + c

Substitute a coordinate to find c.

When x= -4, y= -6,

- 6 =  \frac{5}{4} ( - 4) + c \\  - 6 =  - 5 + c \\ c = 5 - 6 \\ c =  - 1

Hence, the equation of the line is

y =  \frac{5}{4} x - 1

7 0
3 years ago
Other questions:
  • For home economics class, Sandra has 5 cups of flour. Write and solve and expression to find the amount of flour Sandra has left
    13·1 answer
  • Lanee purchased a briefcase online. The total bill of $95.68 included a $5.25 shipping charge and 5% tax on the purchase. If Lan
    8·1 answer
  • Two negative integers are 8 units apart on the number line and have a product of 308. What equation could be used to determine x
    5·1 answer
  • True or False
    11·1 answer
  • 7(x+5)=-7(x+5) solving equations with variable on both sides​
    10·1 answer
  • Find an equation for the line below
    8·1 answer
  • The ordered pair below is a solution to which equation?<br> (4,12)
    7·1 answer
  • Melissa baked 84 cookies. After giving some cookies to Molly
    10·1 answer
  • If the sun is 70° above the horizon. find the length of the shadow cast by a building 63ft tall. Round to the nearest tenth
    15·1 answer
  • (02.05 MC)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!