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
worty [1.4K]
2 years ago
10

20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an

d 11 diplomas how many have a school certificate only
Mathematics
1 answer:
STatiana [176]2 years ago
3 0

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

n(A)=14

n(B)=11

n(A\cup B)=20

We know that,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=14+11-n(A\cap B)

20=25-n(A\cap B)

Subtract both sides by 25.

20-25=-n(A\cap B)

-5=-n(A\cap B)

5=n(A\cap B)

We need to find the number of people who have a school certificate only, i.e. n(A\cap B').

n(A\cap B')=n(A)-n(A\cap B)

n(A\cap B')=14-5

n(A\cap B')=9

Therefore, 9 people have a school certificate only.

You might be interested in
Which trig ratio should you use to find the given side?
Zigmanuir [339]

Answer:

D. cosine

Step-by-step explanation:

As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.

In a right angle triangle, there is a formula as following:

<em>cosine (of an acute angle) = length of  adjacent side/ length of hypotenuse</em>

In the figure, the point of angle B and length of hypotenuse AB are given.

We have to calculate x - length of the given side. As BC is the adjacent side of angle B

=> we can use the above formula to calculate x

So that we can use cosine

4 0
2 years ago
Use integration by parts to find the integrals in Exercise.<br> ∫^3_0 3-x/3e^x dx.
Viefleur [7K]

Answer:

8.733046.

Step-by-step explanation:

We have been given a definite integral \int _0^3\:3-\frac{x}{3e^x}dx. We are asked to find the value of the given integral using integration by parts.

Using sum rule of integrals, we will get:

\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx

We will use Integration by parts formula to solve our given problem.

\int\ vdv=uv-\int\ vdu

Let u=x and v'=\frac{1}{e^x}.

Now, we need to find du and v using these values as shown below:

\frac{du}{dx}=\frac{d}{dx}(x)

\frac{du}{dx}=1

du=1dx

du=dx

v'=\frac{1}{e^x}

v=-\frac{1}{e^x}

Substituting our given values in integration by parts formula, we will get:

\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(x*(-\frac{1}{e^x})-\int _0^3(-\frac{1}{e^x})dx)

\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))

\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx=3x-\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))

Compute the boundaries:

3(3)-\frac{1}{3}(-\frac{3}{e^3}- (\frac{1}{e^3}))=9+\frac{4}{3e^3}=9.06638

3(0)-\frac{1}{3}(-\frac{0}{e^0}- (\frac{1}{e^0}))=0-(-\frac{1}{3})=\frac{1}{3}

9.06638-\frac{1}{3}=8.733046

Therefore, the value of the given integral would be 8.733046.

6 0
3 years ago
I don’t get this lol
Zepler [3.9K]
에 y 당신 rl 비용 비용 비용 비용 위 윈
3 0
2 years ago
What is the slope of the line through (-1, -7) and (3, 9)?
monitta

Answer:

slope = 4

Step-by-step explanation:

.................

3 0
2 years ago
20 points+brainliest!
lakkis [162]

Answer:

C, D, E

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • WILL GIVE BRAIN PLEASE HELP ASAP
    15·1 answer
  • -24= -24-12b pls someone help
    5·1 answer
  • At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m
    8·1 answer
  • Find the volume of the region bounded above by the paraboloid z equals 3 x squared plus 4 y squared and below by the square r: m
    5·1 answer
  • The cross sectional area of this circular duct is 226.865 square inches.
    15·1 answer
  • -24&lt;41<br>Adevarat sau fals?​
    11·2 answers
  • What was the temperature at sea level at 20,000 ft
    8·1 answer
  • The function f(x) = 9x +5 is one-to-one.<br> Find an equation for f-'(x), the inverse function.
    5·1 answer
  • 7. Write an expression that is equivalent to
    9·1 answer
  • The yield of a certain chemical reaction is believed to be related to temperature. A study collected the yield from 15 such reac
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!