Evaluate this expression

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:

D.

Step-by-step explanation:

They are parallel and therefore has the same slope.

Answer:

2 2/3 yd

Step-by-step explanation:

Let's convert from feet to yards. See how the feet cancel, because feet is in the denominator and the numerator?

8 ft x 1 yd/3 ft = 8/3 yd

As a mixed number:

8/3 = 2 2/3 yd of fabric

Answer:

102.44 feet

Step-by-step explanation:

This kite and its height forms a right triangle. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 130 feet. Therefore:

[tex]\sin 52= \dfrac{x}{130}[/tex]

[tex]x=\sin 52 \times 130\approx 102.44[/tex] feet. Hope this helps!

Answer:

Step-by-step explanation:

PLEASE MARK BRAINLY

Answer:

A

Step-by-step explanation:

When taking out the absolute value, it's 4x+2=6 and 4x+2=-6. At this point just solve for x and your answer(s) should be 1/-2

Answer:

x =1   x=-2

Step-by-step explanation:

|4x +2|= 6

There are two solutions a positive and a negative

4x+2 = 6      and 4x+2 = -6

Subtract 2 from each side

4x+2-2 = 6-2      4x+2-2 = -6-2

4x = 4                     4x = -8

Divide by 4

4x/4 = 4/4            4x/4   =-8/4

x =1                            x = -2

Answer: 3150 miles

Step-by-step explanation: Ok, let's break it down...

180 ÷ 2 = 90 / The train travels 90 mph....

90 * 7 = 630 / The jet travels 630 mph....

630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!

Answer:

170.25

Step-by-step explanation:

It's a bit tricky to do not on plain paper, but here:

Just assume the long division symbol looks right

  _1_7_0_.25

4 ) 681

    -4

     2 8

     -2 8

          0  1

The remainder is "1", so you'll just have to write that as either a fraction or decimal, whatever is assigned.

Fraction: 170 1/4

Decimal: 170.25

The answer is 170.25

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer: 50 miles

Step-by-step explanation:

On maps one inch is a mile

Combine the like terms. move over the -3x to the right and it’s now 3x and combine it with -2x to get x. Move the 4 over to the left and it becomes -4 and combine it with the 1 to get -3. Then you are left with -3=x

Answer:

false

Step-by-step explanation:

A function has a one to one correspondence.  That means each input goes to one  output.  12 goes to 2 different outputs so it is not a function

Answer:

false

Step-by-step explanation:

f(x) is not a function because an input can I have more than one output.

Answer: 295

Step-by-step explanation:

[tex]Formula: a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n[/tex] = nth term (the term we're trying to find.)

[tex]a_1[/tex] = first term

[tex]n[/tex] = nth term

[tex]d[/tex] = difference

[tex]a_1_8=6+(18-1)(17)\\a_1_8=6+(17)(17)\\a_1_8=6+289\\a_1_8=295[/tex]

Answer:

The radius of circle is 162 units

Answer: 24 hours

Step-by-step explanation:

You multiply 30 by 4/5, since this is inverse.

If it took 4 bricklayers to build a brick wall in 30 hours, then it would 24 hours for 5 bricklayers to build a brick wall.

The amount of time is reduced down to 4/5 of the first time because there are now 5 bricklayers instead of four.

Answer:

It would take 24 hours for 5 bricklayers to build a wall.

Step-by-step explanation:

We can deduce the number of hours the bricklayers needed to build a wall because they are inversely proportional.

In other words, more bricklayers will result in fewer work hours.

4 bricklayers × 30 hours = 120 bricklayers hours

120 bricklayers hours / 5 bricklayers = 24 hours

Therefore, it would only take 24 hours for 5 bricklayers to build a wall. (Which is 6 hours faster since one person joined the workforce to help the others).

I hope this helps!

Answer:

total temp of 20 winter days

Step-by-step explanation:

Answer:

Circle graph

Step-by-step explanation:

common sense

Answer:

y=3x+5

Step-by-step explanation:

y=y=y=x+x+x+5 is what I think you were saying. In that case:

y=x+x+x+5

y=3x+5

The equation of the line is y=3x+5

The equation of the given line is y = 2/3 x - 2

The standard form of the equation of a line is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

from the diagram attached, we can use the coordinate (0, -2) and (3, 0)

Get the slope

Slope "m" = 0-(-2)/3-0

m = 2/3

Since the line cuts the y-axis at y = -2, hence the y-intercept is b = -2

Substitute the given parameters into the equation:

y = mx + b

y = 2/3 x + (-2)

y = 2/3 x - 2

Hence the equation of the given line is y = 2/3 x - 2

Learn more here: https://brainly.com/question/17003809

Answer:

1/3

Step-by-step explanation:

the total outcomes is 3*4 = 12

the  probability to get two digit numbers 14 or less is :

11 12 13 14  

4/12 = 1/3

Answer: 150 minutes

Step-by-step explanation:

1.5 pounds in 45 min

5 pounds in X times

Using proportionality:

[tex]\frac{1.5}{45} =\frac{5}{x} \\x=\frac{5*45}{1.5} \\x=150[/tex]

Answer:

Area to be removed = 3600000 feet³

Step-by-step explanation:

We need to calculate the volume of soil to be removed. We have been already provided with area of the lot in feet.

Total Area of soil = 1200' x 1500'

Where soil to be removed is given in inches, convert it into feet

Soil to be removed = 24''=2'

Multiply both the the value to get the volume of soil to be removed so the soil is not a health hazard

Area to be removed = 1200' x 1500' x 2'

Area to be removed = 3600000 feet³

Answer:

a. 9

Step-by-step explanation:

If f is at 2, then you subsitute anywhere that an x is with a 2. So in this particular equation we get

f(2) = (2+1)^2

f(2) = (3)^2

f(2) = 9

Answer:

[tex]0.22[/tex]

Step-by-step explanation:

[tex]0.22 =22/100[/tex]

0.22 can be expressed as a fraction. Therefore, it is a rational number.

1/3 is a raional number.

[tex]1/3+22/100=83/150[/tex]

To produce a rational number we add 0.22 to 1/3. So, option C. is the right option.

A rational number is any number of the form p/q, where p, q ∈ Z, q ≠ 0, and p and q have no common factors except 1.

Any number which cannot be expressed in the above form is called an irrational number.

In the question, we are asked to find the number from the given choices, which when added to 1/3, produces a rational number.

We know that adding an irrational number to any number gives an irrational number only. So we simply need to check for the rational number among the given options. Analyzing the options:

∴ We will add 0.22 to 1/3, to produce a rational number. Option C. is the right choice.

Learn more about rational and irrational numbers at

https://brainly.com/question/20400557

#SPJ2

Answer:

£290.70

Step-by-step explanation:

50x5=250

20x2=40

10x7=70

5x3=15

total = 375

375/1.29=290.697

= £290.70

Step-by-step explanation:

$50-5= 50×5

= 250

$20-2=20×2

= 40

$10-7= 10×7

= 70

$5-3= 5×3

15

then,

we add

250 + 40 + 70 + 15 = 379

£1= $1.29

$ = 1/1.29

= 379/1.29

Answer: None, 0 real roots

Step-by-step explanation:

To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]

b = 2

a = -1

c = -5

[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]

iff x > 0: 2 roots

iff x < 0: none

iff x = 0: 1 root

Actual Explanation and Intuition behind it:

If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level

If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer

If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0

The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]

Answer:

9x²-3x-25, Domain is all real numbers

Step-by-step explanation:

f(g(x)) = 3(3x²-x-10)+5

= 9x²-3x-30+5

= 9x²-3x-25

Domain is all real numbers

Answer:

B

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

8(3 + a) = 64

3 + a = 8

a = 5

The value of a is 5.

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

i need one more brainliest and i will level up can u gimme brainliest THXXXXXXXXX!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Using the Slope Equation:

Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

How do you calculate rise over run?

Multiply the slope by the run to calculate the rise between subsequent points. In the example, if you wanted to know the rise given a run of 10, multiply 10 times 0.6 to calculate a rise of 6. Divide the rise by the slope to calculate the run.

What does a slope of mean?

The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line.

How do I find slope?!

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

I do not know the exact answer to ur question but this was just a help key for you. :) maybe it helped? :)

PLEASE GIVE ME BRAINLIEST! have a great day.

Answer:

0.25

Step-by-step explanation:

outcomes painted in blue: {3, 4, 5, 6}

number of even outcomes painted in blue: 2

number of total outcomes: 8

Therefore, the probability that the roll will show an even number and a face that is painted blue is: 2/8 = 0.25

Answer:

B) Yes, ΔMNO ≅ ΔPON by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, side MO is congruent to side NP and side NO is shared by both triangles. The included angle in ΔMNO is ∠O and in ΔPON is ∠N, and they are congruent.

Answer:

Step-by-step explanation:

B) Yes, ΔMNO ≅ ΔPON by SAS

Just did this test.