20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates and 11 diplomas how many have a school certificate only

Answers

Answer 1

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

[tex]n(A)=14[/tex]

[tex]n(B)=11[/tex]

[tex]n(A\cup B)=20[/tex]

We know that,

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]20=14+11-n(A\cap B)[/tex]

[tex]20=25-n(A\cap B)[/tex]

Subtract both sides by 25.

[tex]20-25=-n(A\cap B)[/tex]

[tex]-5=-n(A\cap B)[/tex]

[tex]5=n(A\cap B)[/tex]

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

[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]

[tex]n(A\cap B')=14-5[/tex]

[tex]n(A\cap B')=9[/tex]

Therefore, 9 people have a school certificate only.


Related Questions

What is the area, in square centimeters, of the trapezoid shown below?
3 cm
9 cm
12 cm
Please help

Answers

67.5 please mark thanks

jason is closing on a $430,000 home. he made a 10% down payment and is borrowing the rest. closing costs are 3.5 percent of the mortgage.

a. what is the down payment?

b. what is the amount of the mortgage?

c. what are the closing costs?

d. what is the total amount of the mortgage if they finance the closing costs with the mortgage

Answers

The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.

Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.

Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.

So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.

To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000

Therefore, Jason's down payment is $43,000.b)

The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.

Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000

Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.

Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000

Closing costs = $13,545

Therefore, the closing costs are $13,545.

d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545

Total amount of the mortgage = $400,545

Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

For more questions Amount.

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Sample 1: 64, 52, 72, 56, 80, 68, 75, 58, 48, 55
Sample 2: 72, 36, 84, 92, 54, 72, 80, 62, 44, 32
How much greater is the interquartile range in Sample 2 than in Sample 1?
4.8
19
25
28

Answers

Answer: sample of 100

:3

¿Cuáles son las famosas razones trigonométricas y sus inversas?

Answers

Answer:

Razones trigonométricas inversas: cosecante, secante y cotangente. ... Dado un triángulo rectángulo, definimos la cosecante, la secante y cotangente de un ángulo como las razones inversas del seno, coseno y tangente, respectivamente.

Step-by-step explanation:

espero y te ayude

Can someone please help me with this ❤️❤️

Answers

Answer:

See below for answers

Step-by-step explanation:

y=5(2)ˣ

y=5(2)⁻²=5(1/2²)=5(1/4)=5/4

y=5(2)⁻¹=5(1/2¹)=5(1/2)=5/2

y=5(2)⁰=5(1)=5

y=5(2)¹=5(2)=10

y=5(2)²=5(4)=20

PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss

Answers

the answer is 17 because a right angle is 90 and you subtract 73 from it and get 17

Answer:

Complementary angles sum to 90°

x + 73° = 90°x = 90° - 73°x = 17°

Need help, have to submit this very soon!!​

Answers

Answer:

see explanation

Step-by-step explanation:

length = [tex]\frac{60}{8}[/tex] = 7.5 in

scale factor = [tex]\frac{image}{original}[/tex] = [tex]\frac{8}{60}[/tex] = [tex]\frac{2}{15}[/tex]

---------------------------------------------------

length = [tex]\frac{192}{4}[/tex] = 48 cm

scale factor = [tex]\frac{omage}{original}[/tex] = [tex]\frac{4}{192}[/tex] = [tex]\frac{1}{48}[/tex]

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP


Answers

Answer: 9x^2-48x+64

I was wrong originally

I am so sorry

Step-by-step explanation:

(3x-8)(3x-8)

9x^2-24x-24x+64

9x^2-48x+64

This solid shape is made from 5 cubes.

Answers

Answer:

what is the question?

Step-by-step explanation:

can someone solve this for me?

Answers

Answer:

A, C, D

Step-by-step explanation:

42 + 14 = 56

38 + 18 = 56

67 + 33 = 100

70 + 30 = 100

93 + 35 = 128

95 + 33 = 128

B)

40 + 22 = 62

32 + 10 = 42

62 ≠ 42

Answers: A, C, & D

Why is A correct?
Well, A is correct because 42+14 is 56, And 38+18 is also 56

Why is B not correct?
Well, 40+22 is 62 but 32+10 is not the same answer because 32+10 is 42

Why is C correct?
Well, 67+33 is 100 and 70+30 is also 100

Why is D also correct?
Well, 93+ 35 is 28 and 95+ 33 is indeed, 128

Hope this helped!

What is the value of −9×(14) ÷(−0.75)?
(NO FILES OR LINKS I CAN'T DOWNLOAD THEM

Answers

Answer:

Im pretty sure it's 168

Step-by-step explanation:]

9 x 14 = 126

126 ÷ 0.75 = 168

Help brainliest
Write an equation in slope-intercept form of the line that passes through the given points

Answers

Answer:

y = - [tex]\frac{4}{3}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = [tex]\frac{-1-3}{0+3}[/tex] = - [tex]\frac{4}{3}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = - [tex]\frac{4}{3}[/tex] x - 1 ← equation of line

A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?

Answers

Answer:

7/25

Step-by-step explanation:

can someone please help? :)

Answers

Answer:

The first step is to find the volume of the two hemispheres.

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }[/tex]

Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.

Volume of sphere

[tex] = \frac{4}{3}( \pi)( {12}^{3} )[/tex]

[tex] = 2304\pi \: in^{3} [/tex]

Volume of solid

= volume of cylinder -volume of 2 hemispheres

Let's find the volume of the cylinder.

[tex]\boxed{voume \: of \: cylinder = \pi {r}^{2}h }[/tex]

Volume of cylinder

[tex] = \pi( {12}^{2} )(24)[/tex]

[tex] = 3456\pi \: in^{3} [/tex]

Thus, volume of solid

[tex] = 3456\pi - 2304\pi[/tex]

[tex] = 1152\pi[/tex]

[tex] = 1152(3.14)[/tex]

[tex] = 3617.28 \: in^{3} [/tex]

Answer:

Solution :-

Volume of solid = Volume of Sphere - Volume of cylinder

Volume = 4/3πr³ - πr²h

Volume = 4/3 • π • 12³ - π • 12² • 24

Volume = 4/3 • π • 1728 - π • 144 • 24

Volume = 4 • π • 576 - π • 3456

Volume = π(3456 - 2304)

Volume = π(1152)

Volume = 3619.11 in³

[tex] \\ [/tex]

Employees at a company are given £1,200 to spend on items for the office.
They decide to buy a coffee machine and as many bean bags as possible.
Bean bags cost £40 with an offer of "Buy at least 15 get 10% off the price."
The coffee machine costs £280.
How much will they have left over from the £1,200?

Answers

Answer:

380

Step-by-step explanation:

280 coffe machine

15 bag multiple for 40= 600 - 15%= 540

540+280=820

1200-820=380

can someone help me I will give you a brainliest

Answers

2√3+6√2

hope this helps :D

Answer:

Step-by-step explanation:

2√3+6√2

Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?

Answers

Answer:

4.2

Step-by-step explanation:

took a bullet for the team

Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.

from the formula of compound interest

A = P(1 + r/n) ^nt

in our case,

A =670

P = 480

t = 8

Thus,

670 = 480(1 + r)^8

r = 4.25%

Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670

Learn more about compound interest here:

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In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers. *

Answers

4 Wrong Answers

[tex]Correct = 11*4=44[/tex]

[tex]Incorrect = Correct - 40 = 4[/tex]

A cereal box has a length of 8 inches, a width of 1 3/4 inches, and a height of 12 1/8 inches what is the volume of the cereal box?

Answers

Answer:

169 3/4 in³

Step-by-step explanation:

v=l×w×h

v=8× 1 3/4× 12 1/8

21  7/32×8= 169 3/4 in³

PLEASE IM IN CLASS PLEASE

Answers

Answer:

71.88

Step-by-step explanation:

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

So if 9 of the 32 are women, then everybody left would be a guy. That's 32 - 9 = 23 men. To turn that into a percentage, just divide the number of men by the total amount of people in the class: 23/32 = 71.875% which rounded is 71.88%


Evaluate the expression when
x= -2 and y = 4
Expression: x² - 8
у

Answers

Answer:

x= -2 , y = 4

then

R/ (-2)² - 8(4)

R/ 4-32

R/ -28

Step-by-step explanation:

Don’t mind my computer screen!


What is the length of the hypotenuse in the following figure.

Answers

Answer:

5

Step-by-step explanation:

what do you mean ?? its already written there

Answer:

The answer is 5

Step-by-step explanation:

The answer is 5 because the length across from the right angle is always the hypotenuse.

-4x + 10 = 42 what is the value of x

Answers

Answer:

x=-8

Step-by-step explanation:

Well subtract 10 on both sides

-4x=32

Div ide -4 on both sides

x=-8

Answer:

x = -8

Step-by-step explanation:

-4x + 10 = 42

       -10   -10

-4x = 32

/-4     /-4

x = -8

to check work, insert x into the normal equation

-4(-8) + 10 = 42

32 + 10 = 42

Solve the system and find the values of x and y

Answers

Answer:

x = [tex]\frac{(a+b)}{2}[/tex]

[tex]y=\frac{a-b}{2}[/tex]

Step-by-step explanation:

System of equations has been given as,

x + y = a ----------(1)

x - y = b ---------(2)

By adding equation (1) and (2)

(x + y) + (x - y) = a + b

2x = a + b

x = [tex]\frac{(a+b)}{2}[/tex]

By substituting these values in equation (2),

x - y = b

[tex]\frac{a+b}{2}-y=b[/tex]

[tex]\frac{a+b}{2}-b=y[/tex]

[tex]\frac{a+b-2b}{2}=y[/tex]

[tex]\frac{a-b}{2}=y[/tex]

Can someone help me please

Answers

Answer:

That would seem like a b

Step by step explanation: (>) means greater than and b is stating that element a is higher than element c

Which number is rational?
/2
10
O
16

Answers

Answer:

16

Step-by-step explanation:

Square root of 2 is irrational. This has been proven by the Pythagoreans (there is a simple proof of that).

pi is also known to be irrational although the proof is a bit more demanding.

Square root of 10 can be written as a product of square root of 5 and square root of 2, which themselves are irrational. Any product involving an irrational number is irrational

Square root of 16 = 4. 4 can be written as a fraction 4/1, or 8/2, 16/4, etc. and therefore is rational by definition.

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

3.2 AT

The angles in the smaller prism measure 90

degrees.

The perimeter of the rectangular bases changes by

a factor of 2.

The surface area changes by a factor of 8.

The larger prism has twice the volume of the

smaller prism.

The area of the rectangular bases changes by a

factor of 4.

1.6

-

-

-

-

-

-

10.4

V

0.8

2.2.

Answers

Answer:

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.  

E)The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.

C)The surface area changes by a factor of 8.

D)The larger prism has twice the volume of the smaller prism.

E)The area of the rectangular bases changes by a factor of 4.

Solution:

Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.

A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

Option A is correct.

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

Option B is correct.

C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68

The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)

Option C is wrong

D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632

Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704

The larger prism volume is not twice of the smaller prism

Option D is wrong

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

The area of the rectangular bases changes by a  factor of 4 (1.76 / 0.44 = 4)

You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for the loan?

Answers

Answer:

133.33

Step-by-step explanation:

sorry if im incorrect

Answer:

800

Step-by-step explanation:

A=144pi^2 ft. Find the radius

Answers

The radius is 12 because 12^2 equals 144

Mario shot 30 baskets in 6 minutes. Chris shot 48 baskets in 8 minutes. How many more baskets did Chris shoot per minute?

Answers

Answer:

6

Step-by-step explanation:

You would first divide 48/8 than you would get 8 baskets per minute.

Answer:

6

Step-by-step explanation:

Mario: 1 minute = 5 baskets and 5 x 6 = 30.

Chris: 1 minute = 6 baskets and 6 x 8 = 48.

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