I need some help with this problem

Answer:

1. n[(A U B) - C] = {23, 24, 27, 29, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 61, 63}

2. n[(A - B) U C] = n[A U C] = {6, 10, 12, 15, 20, 23, 29, 30, 31, 37, 41, 43, 47, 53, 59, 60, 61}

3. D. I, II and III.

Step-by-step explanation:

U = {21, 22, 23, ..., 64}

A prime number is a number that can be divided only by 1 and itself.

A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

B = {24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63}

C = {6, 10, 12, 15, 20, 30, 60}

1. Find n[(A U B) - C]

n(A U B) = {23, 24, 27, 29, 30, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 60, 61, 63}

n[(A U B) - C] = {23, 24, 27, 29, 30, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 60, 61, 63} - {6, 10, 12, 15, 20, 30, 60}

Since only 30 and 60 are common to n(A U B) and C, we therefore remove them it and have:

n[(A U B) - C] = {23, 24, 27, 29, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 61, 63}

2. Find n[(A - B) U C]

To get n(A - B) we remove all the elements of B in A. Since there are no common elements between A and B, we therefore have:

A - B = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

C = {6, 10, 12, 15, 20, 30, 60}

Therefore, we have:

n[(A - B) U C] = n[A U C] = {6, 10, 12, 15, 20, 23, 29, 30, 31, 37, 41, 43, 47, 53, 59, 60, 61}

3. Which of the following is/are true?

I. A ∩ B = A ∩ C

A ∩ B = ∅

A ∩ C = ∅

Therefore, A ∩ B = A ∩ C is true.

II. A - B = A - C

A - B = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

A - C = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

Therefore, A - B = A - C is true.

III. A ∩ (B ∪ C) = ∅

A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

B U C = {6, 10, 12, 15, 20, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63}

Therefore, A ∩ (B ∪ C) = ∅ is true.

Therefore, the correct option is D i.e. I, II and III are true.

Answer:

18

Step-by-step explanation:

The midsegment is calculated as

[tex]\frac{sumofbases}{2}[/tex] = [tex]\frac{12+24}{2}[/tex] = [tex]\frac{36}{2}[/tex] = 18

Answer:

x ≈ 33

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan67° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{14}[/tex]

Multiply both sides by 14

14 × tan67° = x, thus

x ≈ 33 ( to the nearest whole number )

Answer:

1/4

Step-by-step explanation:

A checkerboard is 1/2 red and 1/2 black.

There are 6 sides on a die, 3 of which are less than 4 (1, 2, and 3).

So the total probability is (1/2) (3/6) = 1/4.

Answer:

Slope = 4

Step-by-step explanation:

Hi!

So, I can only see question a, so I will answer that.

This is asking for the slope given 2 points.

The line-slope formula states :

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

where m is the slope and the x and y values are the corresponding values from 2 coordinate points. The hard part of this is deciding which of your points is point 1 and which is point 2. It's arbitrary, so any selection is correct. We just have to stay consistent.

Let's let (3,12) be point 1 and (4,16) be point 2. Now we can write the corresponding x and y values into our formula:

[tex]m = \frac{({y_{2}-y_{1}})}{(x_{2}-x_{1})}\\m = \frac{(16-12)}{(4-3)}\\\\m = \frac{4}{1}\\\\m = 4[/tex]

So, the slope of the line through the 2 points (3, 12) and (3, 16) is 4

Answer:

The probability of picking a black card at random, from a deck with 3 black cards and 7 red ones is 0.3.

Step-by-step explanation:

We will assume that we have 3 black cards and 7 black cards, for a total of 10 cards. Since we are taking one card at random, we can assume that each card is equally likely to be drawn. We have the following event A: The drawn card is a black. We will find the probability of A as counting the number of outcomes that make A to occur and divide it by the total number of possibilities. We are drawing one card, so we have 10 possibilities to be picked. Out of those 10, only 3 cards are black, hence we have 3 possibilites of picking a black card.

Then,

P(A) = 3/10 = 0.3.

Answer:

0.435 Got it from Khan

Step-by-step explanation:

Hint #11 / 3

All of the probabilities in a valid probability distribution must add up to 111.

Hint #22 / 3

Solve for the missing probability:

\begin{aligned} 0.475+\text{?}+0.090&=1 \\\\ 0.565+\text{?}&=1 \\\\ \text{?}&=0.435 \end{aligned}

0.475+?+0.090

0.565+?

?

​

=1

=1

=0.435

​

Hint #33 / 3

The answer:

P\left(Y=1\right)=0.435P(Y=1)=0.435

Answer:

Hello,

10,070

Step-by-step explanation:

100% - 12% = 88% = 0.88

28,000 x 0.88^8 = 10,069.76...

Answer:

4.2 x 10^9

1 x 10^9

7.4 x 10^8

6 X 10^8

3.7 X 10^7

Step-by-step explanation:

The higher the exponent the bigger it is, so arrange by powers first

1 x 10^9

4.2 x 10^9

7.4 x 10^8

6 X 10^8

3.7 X 10^7

Now put the numbers in order from biggest to smallest within exponent powers

4.2 is greater than 1   and 7.4 is greater than 6

4.2 x 10^9

1 x 10^9

7.4 x 10^8

6 X 10^8

3.7 X 10^7

Answer:

First one

Step-by-step explanation:

Look at the picture*

Answer:

1kg ghee is left behind

Step-by-step explanation:

Here, we are to calculate the amount of ghee left.

Firstly, 2/4 was consumed for preparing medicine. This is same as 1/2

The amount used in preparing medicine is thus 1/2 * 20kg = 10kg

amount remaining = 20kg - 10kg = 10kg

She also use 2/5 and 1/2 of the remainder.

The total amount used is 2/5 + 1/2 = 9/10

The amount used is thus 9/10 * 10 = 9kg

what is left is thus 10kg -9kg = 1 kg

Answer:

The value of the car in 8 years is : v(t)=69,326 rounded to the nearest dollar, yet if not rounded to the nearest dollar then it is 69,326.968936

Step-by-step explanation:

v(t)=28,000(1.12)^8

v(8)=69,326

Answer: 12

Step-by-step explanation:

1200/750=1.6

1.6 X 8 = 12.8

12 number of  maximum people she can serve.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Amount of Apples = 750 g

and, Svetlana has 1.2 Kg of apples

So, number of people she can serve

= 1200/750 x 8

= 1.6 x 8

= 12.8

= 12 people.

Hence, 12 number of  maximum people she can serve.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

( x + 13 )^2 +  ( y + 6 )^2 = 1; Option A

Step-by-step explanation:

~ The question we have at hand is: x^2 + y^2 + 26x + 12y + 204 = 0 ~

Let us apply the circle equation ( x - a )^2 + ( y - b )^2 = r^2 ⇒ provided r is the radius, centered at point ( a, b )

1. First rewrite x^2 + y^2 + 26x + 12y + 204 = 0 in the standard form of circle equation: x^2 + y^2 + 26x + 12y + 204 = 0

2. Now move the loose number to the right side: x^2 + 26x + y^2 + 12y = -204

3. Let us now group variables: ( x^2 + 26x ) +  ( y^2 + 12y ) = -204

4. Convert x to square form: ( x^2 + 26x + 169 ) +  ( y^2 + 12y ) = -204 + 169

5. Convert to square form: ( x + 13 )^2 +  ( y^2 + 12y ) = -204 + 169

6. Convert y to square form: ( x + 13 )^2 +  ( y^2 + 12y + 36 ) = -204 + 169 + 36

7. Convert to square form, and simplify: ( x + 13 )^2 +  ( y + 6 )^2 = 1

Answer: ( x + 13 )^2 +  ( y + 6 )^2 = 1

Answer:

320 tickets for 1200 shs and 680 tickets for 800 shs (multiply please)

Step-by-step explanation:

let; x - be the number of 1200 shs tickets.

     y - number of 800 shs tickets.

x + y = 1000 tickets........................... eqtn 1

1200x + 800y = 928000 shs.........................eqtn 2

solve the simultaneous equation by elimination by multiplying eqtn 1 by 800 and eqtn 2 by 1 to be able to eliminate (y) when subtracting.

you will get ; -400x = -12800. Cancel out to get x as 320.

use any equation to get y

i used equation 1 ; 320 + y =1000.

subtract 320 from 1000 to get 680.

multiply the number of tickets by their corresponding amount to get the answer as;

1200 sh tickets = 384000 shs

800 sh tickets = 544000 shs.

there goes your answer . you can prove it to see if it adds up. i hope i have been a great help to you.

Answer:

30 units

Step-by-step explanation:

8/6=6/NW

36=NW8

NW=4.5

4.5^2+6^2=OW^2

56.25=OW^2

OW=7.5

7.5+10+12.5=30

Answer:

30

Step-by-step explanation:

Answer:

nhyh

Step-by-step explanation:

h

mhhhygvvvx VC ghv h h h b

Answer:

x = 8

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 6² = 10²

x² + 36 = 100 ( subtract 36 from both sides )

x² = 64 ( take the square root of both sides )

x = [tex]\sqrt{64}[/tex] = 8

Answer:

-1.00000425998

Step-by-step explanation:

Answer:

1: 30 degrees

Step-by-step explanation:

In Physics, we have the law of reflection. This law states that when light rays hit the smooth surface of mirror or any smooth polished surface, the angle of incidence is equivalent to the angle of reflection.

Mathematically:

Angle of incidence = Angle of reflection

From the above question, the angle of incidence is on a smooth plane mirror = 30°

Since:

Angle of incidence = Angle of reflection

30° = 30°

Therefore, based on the law of reflection, the Angle of reflection = 30°

Answer:

5

Step-by-step explanation:

Vertices are just corners (they try to use fancy words to try to confuse students lol). If you count all of the corners/vertices, you will find that there are a total of 5.

Answer:

A

Step-by-step explanation:

Answer:

$57.81

Step-by-step explanation:

74/128 = 57.8125, which rounds to 57.81

Answer:

15

Step-by-step explanation:

= [tex]\sf{ = \sqrt[3]{3375} }[/tex]

= Factors of 3375 = (3×3×3)×(5×5×5) = 3×5 = 15

Answer:

360

Step-by-step explanation:

sum of exterior angles of a polygon=360°

Answer:

17.32 cm

Step-by-step explanation:

According to Viviani's theorem, the sum of the distances from an interior point to the sides of an equilateral triangle equals the height of the triangle.

In an equilateral triangle ΔABC, if U is an interior point, the sum of distances from  U to each sides of ΔABC = height of triangle. Since each side of the triangle is 20 cm, we can find the height of the triangle (h)

This can be represented by a triangle with hypotenuse 20 cm, a leg of 10 cm (20/2) and the other leg h cm. Using Pythagorean theorem:

h² + 10² = 20²

h² = 400 - 100 = 300

h = √300 = 17.32 cm

Therefore, the sum of distances from  U to each sides of ΔABC is 17.32 cm

Answer:

the square root of 306 is

17.49

Answer: 666

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer.

Answer is 9

Step-by-step explanation:

Multiply height by with.

1,1x8,1

then do whatever that equals times 2,5 and you should get your answer.

Answer:

This doesn't make any sense. Don't know what you're looking for but here is the formula if needed: A= 1/2h (b^1+b^2)