please help me out here
*image attached

Answer:

A) The probability that each player gets an ace, a 2 and a 3 with the order unimportant = (72/1925) = 0.0374

B) The probability of winning the jackpot = (1/1200) = 0.0008333

Step-by-step explanation:

A) There are four Aces, four 2's, and four 3's, forming a set of 12 cards

These cards are to be divided at random between 4 players.

What is the probability that each player gets an ace, a 2 and a 3.

We start with the first player, the probability of these cards for the first player, with order not important (because order isn't important, there are 6 different arrangement of the 3 cards)

6 × (4/12) × (4/11) × (4/10) = (16/55)

Then the second player getting that same order of cards

6 × (3/9) × (3/8) × (3/7) = (9/28)

Third player

6 × (2/6) × (2/5) × (2/4) = (2/5)

Fourth player

6 × (1/3) × (1/2) × (1/1) = 1

Probability that each of the players get different cards is then a multiple of the probabilities obtained above

= (16/55) × (9/28) × (2/5) × 1

= (288/7700) = (72/1925) = 0.0374

B) The concluding part of the B question.

To win the jackpot, the numbers on your ticket must match the three white balls and the SuperBall. (You don't need to match the white balls in order). If you buy a ticket, what is your probability of winning the jackpot?

Probability of wimning the jackpot is a product the probability of getting the 3 white balls correctly (order unimportant) and the probability of picking the right red superball

Probability of picking 3 white balls from 10

First slot, any of the 3 lucky numbers can fill this slot, (3/10)

Second slot, only 2 remaining lucky numbers can fill this slot, (2/9)

Third slot, only 1 remaining lucky number can fill this slot, (1/8)

(3/10) × (2/9) × (1/8) = (1/120)

Probability of picking the right red superball

(1/10)

Probability of winning the jackpot = (1/120) × (1/10) = (1/120) × (1/10) = (1/1200) = 0.0008333

Hope this Helps!!!

Answer:

Exact answer: [tex] \sqrt{29} [/tex]

Approximate answer: [tex] 5.385 [/tex]

Step-by-step explanation:

Start at the bottom vertex.

Go up 5 units, then go left 2 units. Now you're at the left vertex.

The vertical segment 5 units long and the horizontal segment 2 units long are the legs of a right triangle. The left side of the square is the hypotenuse of that right triangle.

We now use the Pythagorean theorem to find the length of the hypotenuse.

[tex] c^2 = a^2 + b^2 [/tex]

[tex] c^2 = 5^2 + 2^2 [/tex]

[tex] c^2 = 25 + 4 [/tex]

[tex] c^2 = 29 [/tex]

[tex] c = \sqrt{29} [/tex]

[tex] c \approx 5.385 [/tex]

Answer:

pillow cost 3, quilt costs 5

Step-by-step explanation:

let p represent pillow and q represent quilt

rest is in pic attached

Answer:

The second option, or option b

Step-by-step explanation:

200/1.321 = 151.4

Answer: € 151.40

Step-by-step explanation:

€1 = $1.321

200/1.321 = €151.40

Answer:

Rate of change of money in Michael's account will be $20 per week.

Step-by-step explanation:

If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,

After 6 weeks, amount in the account = $140

Ordered pair : (6, 140)

After 12 weeks, amount in the account = $260

Ordered pair : (12, 260)

Rate of change in hi account per week = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                                 = [tex]\frac{260-140}{12-6}[/tex]

                                                                 = [tex]\frac{120}{6}[/tex]

                                                                 = $20 per week

Therefore, rate of change of money in Michael's account will be $20 per week.

Answer:

Y = 3/4 X -2

Step-by-step explanation:

Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.

The answer to this problem is 120

Answer:

D) a horizontal stretch

Step-by-step explanation:

"A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis." Quoted from mathbitsnotebook.com.

Answer:

Look at the underlined numbers

So we have 16 = 16*1

then 64 = 16*4

the difference would be 3

then 144 = 16*9

the difference would be 5

256 = 16*16

the difference would be 7

400 = 16*25

the difference would be 9

so the next one would be 11+25=

3, 5, 7, 9, 11

ANSWER: 16*(11+25) = 36*16 = 576

Step-by-step explanation:

I explained before this

a) 100%-62%=38%

b) 2h 15m- 2h 13m 22s= 15m- 13m 22s= (14m- 13m)+ (1m- 22s)= 1m+ 38s= 1m 38s

Answer: 0

Step-by-step explanation:

Using the Trigonometric values table or unit circle, calculate the expression.

Answer:

The answer is D.) 0

Step-by-step explanation:

JUST THE QUEST

Answer:

In the equation 9 X 3 = 27, each factor stands for:

Step-by-step explanation:

When you must know the area of a terrain or figure, you must know what is the form of that (circle, triangle, rectangle, square, or another figure), because, with this, you can use different formulas of the area, in the case given in the exercise, the formula used is to a rectangle (is the same that a square, but how the length and the width aren't equal, is a rectangle), knowing this the formula is:

In a rectangle, the length is bigger than the width, by this reason 9 is the length, 3 the width and the result is the area, how you can see below:

Answer:

The answer should be 23.

Step-by-step explanation:

If C=7, then you just need to plug 7 into the equation.

5(6) - 7

From there, you just need to multiply 5 times 6 which is 30. After that you have 30-7 which gets you 23.

Answer:

1.41

Step-by-step explanation:

You add 0.54 by 0.87

Answer:

36

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36

Answer:

6 out of 13 (6/13)

Step-by-step explanation:

30/65

Simplify by dividing both sides by 5

6/13

Tada!

The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.

In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,

[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]

Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

Learn more about the gradient of a line here;

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Answer:

9 sqrt(d^6) thus d)

Step-by-step explanation:

CBA = 180 - 70 (linear pair)

=110

ACB = 180- (20+110)

= 180-130 = 50

Answer:

c

Step-by-step explanation:

Answer:

letter C

Step-by-step explanation:

sorry if it's copy

Answer:

15+[tex]15x+7[/tex]

Step-by-step explanation:

Answer:

The answer would be x=8/5 or 1 3/5

Answer:

$.03 per second

Step-by-step explanation:

Take the debt and divide by  the number of years

4 , 253 , 335 /5

850667 per day

The divide by how many days in a year

850667/365

2330.594521 per day

Then divide by 24 hours in a day

2330.594521 /24

97.10810502 per hour

Then divide by 60 minutes in an hour

97.10810502/60

1.618468417 per minute

The divide by 60 seconds  in an hour

1.618468417/60

.026974474 per second

$.03 per second

Answer:

x = 27

Step-by-step explanation:

4(x−9)=4(9+1/3x).

Divide each side by 4

(x−9)=(9+1/3x)

Subtract 1/3 x from each side

x - 1/3x -9 = 9+1/3x -1/3x

2/3x -9 = 9

Add 9 to each side

2/3x -9+9 = 9+9

2/3x = 18

Multiply each side by 3/2

3/2 * 2/3x = 18*3/2

x = 27

Answer:

27

Step-by-step explanation:

4(x−9)=4(9+1/3x)

4x-36=36+(4/3)*x

(12/3)*x-36=36+(4/3)*x

(8/3)*x=72

8x=216

x=27

Answer:

4

Step-by-step explanation:

1 1/2 ÷ 3/8

Change to an improper fraction

3/2 ÷ 3/8

Copy dot flip

3/2 * 8/3

Cancel like terms

8/2

4

Answer:

4

Step-by-step explanation:

all work is in the image below!

Factor the numerator and denominator and cancel the common factors.

Answer:

Congruent angles

Step-by-step explanation:

Angle bisectors, divides the given angle into two equal parts

thus if value of angle is x then angle bisector will divide this angle into  parts

of equal value x/2 .

_______________________

complementary angles are two angles whose sum is 90 degrees.

since we do not the value of angle we cannot say with certainty that the angles are complementary

Congruent angles are angles who have the same angular measurement.

since, in above problem we have seen that angle bisector divides the angle in two equal parts.

hence angles are equal and thus they are congruent angle.

Congruent angles is the correct answer.

_______________________________________

vertical angles are angle opposite two one another when two line cross each other.

Since in the problem line is not intersecting each other thus, angles do not qualify to be vertical angles

Supplementary angles are two angles whose sum is 180 degrees.

since we do not the value of angle we cannot say with certainty that the angles are Supplementary.

Hence correct option is Congruent angles

Answer:

congruent angles

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

Because 775 divided by 12 1/2= 62

Answer:

x=5

Step-by-step explanation:

5+2=7

5+8=13

13*7=91

Answer: 5 ft

Step-by-step explanation:

Our equation can be (x + 8)(x + 2) = 91. Now we solve:

(x + 8)(x + 2) = 91

x^2 + 2x + 8x + 16 = 91    expand

x^2 + 10x + 16 = 91           simplify

x^2 + 10x - 75 = 0            subtract 91 from both sides

(x + 15)(x - 5) = 0               factor

x + 15 = 0              x - 5 = 0

x [tex]\neq \\[/tex] -15                    x = 5

x can't equal -15 because you cannot have negative feet, so x = 5 feet

Answer:

Step-by-step explanation:

y = 5x

Answer:

87

Step-by-step explanation:

or 130. let me know if I'm wrong

If the measure of arc AB is 50°, then the measure of its inscribed angle ACB is, 130°

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

The measure of arc AB = 50°

The measure of its inscribed angle ACB = ?

Here, ACBP will make a quadrilateral

And, the sum of opposite angles of quadrilateral is 180°

So, ∠ACB + ∠AB = 180°

⇒   ∠ACB = 180° - 50°

⇒   ∠ACB = 130°

Hence, the measure is 130°

To know more about angle check:

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Answer:

the answer is-

Step-by-step explanation:

b added to 12 times x.

the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc