1 Square yard = what Square inches

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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\(\begin{aligned}\rm\frac{1}{5x-3}&=\rm\frac{1}{6x}\\\rm 6x&=\rm 5x-3\\\rm 6x-5x&=-3\\\bf x&=\boxed{\bf -3}\end{aligned}\)

Answer:

im sorry i cant see anything you posted

Step-by-step explanation:

Answer:

the answer is D The slope is -4 and the y-intercept is 2

Step-by-step explanation:

the equation use is y=mx+b slope repusents M and the y-intercept repusents B hope this helps you out

Answer:

first differences,4,4,4,constant

Step-by-step explanation:

did on edge

Answer:

4

4

4

constant

Step-by-step explanation:

The number 2755 flights were scheduled.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Recently many airlines have had to cancel flights in a single day.

Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.

The number of flights scheduled,

= 416 x 100/ 15.1

= 41600/15.1

= 2754.96

≈ 2755

Therefore, 2755 flights were scheduled.

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The region above the line 3x + 4y > 2 is considered.

Given that:

Inequality, 3x + 4y > 2

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph.

Convert the inequality into intercept form, then we have

3x + 4y > 2

x / (2/3) + y / (1/2) > 1

Make a dashed line and the region above the line is considered.

The diagram is given below.

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Answer: B. g(x) is shifted 2 units to the right and 6 units up.

Step-by-step explanation:

See attached image.

Answer:x is greater than or equal to 0

Step-by-step explanation:

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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Answer:

1

A= 34

B= 112

C= 34

Step-by-step explanation:

A and C are vertical angles so would have the same angle degree. The 112 and B are same side interior angles so have the same degree

A and 112 are opposite interior angles so they have to add up to 180.

So 180-112=68

then 68 divided by 2 to get both A and C

hope that made sense

Answer:

32

Step-by-step explanation:

Answer:

66 es pero que te ayude ■■♤♤

Answer:

10 times

Step-by-step explanation:

If you are talking about division, then we would do 87/8=10

Answer:

It can go 10.875  times.

Step-by-step explanation:

87/8 = 10.875

≈ 11

Hope this helps; have a great day!

The area of the right triangle is 18.02 cm².

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sum of angles in a triangle is 180 degrees.

Therefore, let's find the area of the right angle triangle as follows;

let's find the height and base of the triangle.

using trigonometric ratios,

cos 75 = adjacent / hypotenuse

cos 75 = base / 12

base = 3.10582854123

Therefore,

sin 75 = opposite / hypotenuse

sin 75 = h / 12

height = 11.5911099155

height = 11.59

Therefore,

area of the triangle = 1 / 2 × 3.11 × 11.59

area of the triangle = 36.0483518371 / 2

area of the triangle = 18.0241759186

area of the triangle = 18.02 cm²

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Answer:0.8p+1 and 1+0.8p

Step-by-step explanation:

0.5p+0.3p=0.8p

7-6=+1

0.8p+1

and

Swap both numbers

(0.5p+7)+(0.3p-6)=1+0.8p

Answer:

ACT score

It has a higher standardized score than his SAT

Step-by-step explanation:

Obtain the standardized score for both SAT and ACT

SAT:

Mean = 515

Standard deviation = 115

Score (x) = 610

ACT:

Mean = 21

Standard deviation = 5.1

Score (x) = 27

ZSCORE for SAT:

Zscore = (x - mean) / standard deviation

Zscore = (610 - 515) / 115

Zscore = 0.826

ZSCORE for ACT:

Zscore = (x - mean) / standard deviation

Zscore = (27 - 21) / 5.1

Zscore = 1.176

He should use his ACT score has it has a higher standard score than his SAT score. Hence, his ACT score weighs higher Than his SAT score

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

Answer:

r=26

Step-by-step explanation:

22/11=r/13

11r=286

r=26

Answer: 11.99 x b = 11.99b

               3.79 x m = 3.79m

               11.99b + 3.79m = y

Step-by-step explanation:

               11.99 x b = 11.99b

               3.79 x m = 3.79m

               11.99b + 3.79m = y

Answer:

0.82z

Step-by-step explanation:

z- 0.18z=

0.82z

Answer:

0.82

Step-by-step explanation:

z=1

1-0.18= 0.82

1= 0.18+0.82

a. The expected score for Josephine and Crystal is 17.3 and 17.1 respectively.

b. The total probability of these combinations is 0.045 + 0.120 + 0.030 = 0.195.

c. 0.195 the probability that the difference (Josephine minus Crystal) in their scores is -1.

d. 0.008 is the probability that Josephine will score a 9 for the first time the 4th time that Josephine and Crystal play the game.

d.  0.3267. is the probability that Crystal's score will be 17 exactly 3 times.

a. To calculate the expected score for each player, we use the formula:

Expected Score = Σ(\(x_i \times P_i\))

where \(x_i\) is the score and \(P_i\)is the probability of that score.

For Josephine:

Expected Score = 16(0.10) + 17(0.30) + 18(0.40) + 19(0.20) = 17.3

For Crystal:

Expected Score = 17(0.45) + 18(0.40) + 19(0.15) = 17.1

b. To find all combinations of possible scores for Josephine and Crystal that will produce a difference (Josephine minus Crystal) of -1, we need to subtract 1 from Josephine's score and compare it to Crystal's score.

The possible combinations are:

Josephine Crystal Probability

15 17 0.100.45 = 0.045

16 18 0.300.40 = 0.120

17 19 0.20 x 0.15 = 0.030

c. The probability that the difference (Josephine minus Crystal) in their scores is -1 is the sum of the probabilities of the combinations listed in part (b), which is 0.195.

d. The probability that Josephine will score a 9 for the first time on the 4th play is the probability of scoring less than 9 on the first three plays and then scoring exactly 9 on the fourth play.

Assuming that Josephine's scores are independent, we can use the multiplication rule of probability:

Probability = \(P(score < 9)^3\) x P(score = 9)

Probability = \((0.10 + 0.30 + 0.40)^3\) x 0.20

Probability = 0.008.

e. The probability that Crystal's score will be 17 exactly 3 times out of 5 plays is given by the binomial distribution formula:

Probability = \(C(5,3) \times (0.45)^3 \times (0.55)^2\) = 0.3267

where C(5,3) is the number of ways to choose 3 plays out of 5.

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Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

9514 1404 393

Answer:

  24

Step-by-step explanation:

The angles of a linear pair are supplementary.

  (6x +3)° +33° = 180°

  6x = 144 . . . . . . . . . . . divide by °, subtract 36

  x = 24 . . . . . . . . divide by 6

Answer:

X=4

Step-by-step explanation:

The solution is in the file

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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