A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a four is drawn at least once by the third draw. Round your answer to two decimal places.

Answer:

x=-2

Step-by-step explanation:

2+3x=-20-8x

22=-11x

x=-2

Answer:

[tex]x = -2[/tex]

Step-by-step explanation:

[tex]2 + 3x = - 4(5 + 2x) \\ 2 + 3x = - 20 - 8x \\ 3x + 8x = - 20 - 2 \\ 11x = - 22 \\ \frac{11x}{11} = \frac{-22}{11} \\ x =- 2[/tex]

Answer:

s = 13 - x

t = [tex]\frac{18+x}{2}[/tex]

Step-by-step explanation:

To start out with:

s = 18

t = 18

Sue gives Tony x sweets

s = 18 - x

t = 18 + x

Sue then eats 5 of her sweets

s =  18 - x - 5 = 13 - x

t  = 18 + x

Tony eats half of his sweets

s = 13 - x

t = [tex]\frac{18+x}{2}[/tex]

(Possible constraint that [tex]x\mod 2 = 0[/tex])

When Sue gives Tony x sweets, and then eats 5, she has 13 - x sweets left. Tony, having received x from Sue and then eats half of his total, has 9 + 0.5x sweets.

The question begins with Sue and Tony each having 18 sweets. First, Sue gives Tony 'x' sweets which results in Sue having 18 - x sweets and Tony having 18 + x sweets. Sue then eats 5 sweets resulting in her having 18 - x - 5 = 13 - x sweets. Tony then eats half of his sweets, resulting in him having (18 + x) / 2 = 9 + 0.5x sweets. So, the expressions summarizing the number of sweets Sue and Tony have now are 13 - x for Sue and 9 + 0.5x for Tony respectively.

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Answer:

dependent

Step-by-step explanation:

This question assumes that we're working with a standard full deck of cards.  There are 52 unique cards in such a deck.

If David picks a card at random and doesn't put it back, then the number of unique cards left in his deck is 51.

These two events are dependent because the withdrawal of 1 card changes the probability of drawing any other of these 51 cards

Answer:

-3k+10

Step-by-step explanation:

We want to simplify the expression: [tex]\large{-3k-(-8)+2}[/tex]

Step 1:

Open the bracket taking note of the fact that the product of same sign is positive.

[tex]\large{-3k-(-8)+2}=-3k+8+2[/tex]

Step 2:

Simplify

[tex]-3k+8+2=-3k+10[/tex]

Therefore, an equivalent expression to -3k-(-8)+2 is -3k+10.

Answer:

I will answer it in English:

a) We have te number N = 4752a

if we want to divide it by 3, then the addition of all the digits must be a multiple of 3.

Sum = 4 + 7 + 5 + 2 + a = 6 + 7 + 5 + a = 18 + a

and 18 is a multiple of 3, then we can have, a = 0, a = 3, a = 6, a= 9

b) A number is divisible by 5 if it ends on 5 or 0, so the possible values of a are 0 and 5.

c) we know that 15*3 = 45

then 15*3000= 45000

now we have:

4752a - 45000 = 252a

15*13 = 2520

then we have that a must be equal to zero, and:

15*(13 + 3000) =  47520

d) We want a number that when we divide it by 7, the surpass is 5.

a number is divisible by 7 if the difference between the number without the units and the double of the units is 0 or a multiple of 7.

in N = 4752x the unit is a, then we have:

D = 4752 - 2*x

now, let's choose a such we have a multiple of 7

we know that 5746 is a multiple of 7, so we can choose x= 3 and get:

D = 4752 - 2*3 =   5746  

So the number N = 47523 is a multiple of 7, and when we divide it by 7 we will have a surpass of 0.

Then when we divide N + 5 by 7, we will have a surpass of 7.

This is: N + 5 = 47528

This means that the actual value of a that we need is 8.

Answer:

Outside of probability, Pascal's Triangle is also used for: Algebra, where coefficient of polynomials can be used to find the numbers in Pascal's triangle.  Pascal's Triangle is an arithmetical triangle you can use for some neat things in mathematics.

The entries in Pascal's triangle are actually the number of combinations of N take n where N is the row number starting with N = 0 for the top row and n is the nth number in the row counting from left to right where the n = 0 number is the first number.

The mathematical formula for the number of combinations without repetition is N!/(n!(N-n)!).

Step-by-step explanation:

To construct Pascal's triangle, start with a 1. Then, in the next row, write a 1 and 1. It's good to have spacing between the numbers. In the third row, we have 1 and 1 on the outside slopes. The 2 comes from adding the two numbers above and adjacent. Thus, we are adding the number on the left, 1, with the number on the right, 1, to get 1 + 1 = 2.

In the next row, the 3 comes from adding the 1 and the 2. This particular Pascal's triangle stopped at 1 5 10 10 5 1, but we could have continued indefinitely.

Answer: 0.6 meters cubed.

Step-by-step explanation:

To find the answer to this, first find the volume of the cube.

Volume is equal to the side cubed. In this case, 1 cubed is 1, so the area of the cube is 1 meter cubed.

The depth of the water is 0.4 meters, so the water makes a shape of a rectangular prism, where the length and width are 1 meter, and the height is 0.4 meters.

The volume of a rectangular prism is l*w*h, so the volume of this rectangular prism is 0.4 * 1 * 1, or 0.4 meters cubed.

As such, the volume of the air in the tank is 1 - 0.4, or 0.6 meters cubed.

Answer:

0.6 meters CUBED

Step-by-step explanation:

hope it helps

Answer:

65 mph on level road

Step-by-step explanation:

Set b as average speed on the level road  and (b-20) = average speed on the winding road

Distance = speed * time  

Level Road distance + winding road dististance = 285 miles

Substituting b and (b-20), we have,

3b + 2(b-20) = 285

3b + 2b - 40 = 285

5b = 285 + 40

5b = 325

b= 325/5

b = 65 mph on level road

Answer: 52 mph

Step-by-step explanation:

Assume the following :

a = average speed traveled on level road

(a - 20) = average speed traveled on winding road

Recall:

Distance = speed × time

Total distance traveled :

Level road distance + winding road distance = 252 miles

3a + 3(a - 20) = 252

3a + 3a - 60 = 252

6a = 252 + 60

6a = 312

a = 52 mph on a level triad

Answer:

poda potta

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12x12=144

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =1  and  y_1 =2

m the slope   m= -2 (same slope for the line : 2x+y-1=0 because this lines are parallel and you can write y=-2x-1

an equation for this line is : y-2 = -2(x-1)

Answer:

18 meters

Step-by-step explanation:

12 + 6 = 8

Lila travels an absolute altitude difference of 18 meters from home to school, considering she travels from 12 meters below sea level to 6 meters above sea level.

The question presents a situation where Lila travels from an altitude of 12 meters below sea level to an altitude of 6 meters above sea level. Here, instead of adding these two numbers, we consider the absolute values of these heights. Thus, when Lila travels from her home to school, she first climbs up 12 meters to reach sea level and then another 6 meters to reach her school. So, in total, Lila travels 18 meters in altitude when going from home to school.

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Answer:

1) 38

2) 19

3) 1134

Step-by-step explanation:

Answer:

(2x+5)(7x^2+5)

The length of the side of a cube with a surface area of 390 sq cm is approximately 8.06 cm.

The student's question relates to finding the length of a side of the cube, given the total surface area of the cube. In the case of a cube, all sides are equal in length. Furthermore, a cube has six equal sides. Therefore, to find the length of one side, we can use the formula of the surface area of a cube, which is 6 * side² = Total Surface Area. For our problem, side² = 390 / 6 = 65. Hence, the length of the side would be the square root of 65, which is approximately 8.06 cm.

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The best description of the length of the side of the cube is Option C. between 8 and 9.

To determine the length of the side of a cube given its surface area, we first recall the formula for the surface area (SA) of a cube:

SA = 6s²

where s is the length of one side. We are given a surface area of 390 cm². We substitute this value into the formula and solve for s:

390 = 6s²

s² = 390 / 6

s² = 65

s = √65

To find the exact value of √65, we use a calculator:

√65 ≈ 8.06

Therefore, the length of the side of the cube is approximately 8.06 cm, which falls between 8 and 9. Hence, the correct answer is:

Option C. between 8 and 9

Complete question:

If the surface area of a cube is 390 cm^2. Which best describes the length of the side of the cube?

A. less than 7

B. between 7 and 8

C. between 8 and 9

D. greater than 9

Perimeter is the sum of the outside dimensions:

4 + 5 + 1 + 5 + 9 = 24 inches.

Answer:

Answer: False

Step-by-step explanation:

Answer:

False :)

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Cost of 1 can = $18.95

Cost of x cans = 18.95x

Cost of paintbrushes = $55

Total cost = 18.95x+55

Let y be the total cost

y=18.95x+55

So, Equation that can be used : y=18.95x+55

We are given that Martina can use the equation x = 18.95y + 55 to find the total cost, y, of her order.

So, It is False

Answer:

$120.1355

Step-by-step explanation:

We can model this as an exponencial function:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

For this case, we have that Po = 900, r = -25% = -0.25 and t = 7, so we can find the value of P

P = 900 * (1 - 0.25)^7 = $120.1355

The price after 7 years will be $120.1355.

To calculate the value of Dan's computer after 7 years of 25% annual depreciation, we use the exponential decay formula. The approximate value of the computer after 7 years is $120.14.

To calculate the approximate value of Dan's computer after 7 years with a depreciation rate of 25% per year, we can use the formula for exponential decay:

[tex]V = P(1 - r)^t[/tex]

Plugging in the values, we get:

[tex]V = $900(1 - 0.25)^7[/tex]

[tex]V = $900(0.75)^7[/tex]

V = $900 * 0.1334838867

Therefore, the approximate value of the computer after 7 years is:

V = $120.14

Dan can expect the computer to be worth approximately $120.14 after 7 years.

Answer:

Tenth term=14

Step-by-step explanation:

The nth term of a sequence=2n-6

Find the 10th term

If 2n-6= nth term

Then,

Tenth term=2(10)-6

=20-6

=14

Therefore,

Tenth term =14

Answer:

[tex]-18\cdot h^{2} + 85\cdot h - 18[/tex]

Step-by-step explanation:

The polynomial in standard form is:

[tex](-2\cdot h + 9) \cdot (9\cdot h - 2)[/tex]

[tex]-18\cdot h^{2} + 81\cdot h +4 \cdot h - 18[/tex]

[tex]-18\cdot h^{2} + 85\cdot h - 18[/tex]

Answer: 25/676

Step-by-step explanation:

Number of possible outcomes = 26

In other to win, one must draw must be either (A, E, I, O or U)

Therefore required drws to win = 5

First draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Second draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Therefore,

P(winning twice) = (5/26) × (5/26) = 25/676

The probability of winning the alphabet game twice in a row is 25/676.

To calculate the probability of winning the alphabet game twice in a row, we need to consider the probability of drawing a vowel each time and then multiply these probabilities together since the events are independent.

First, we identify there are 5 vowels (A, E, I, O, U) in the alphabet, and there are 26 total letters. So the probability of drawing a vowel in one turn is 5/26.

To win twice in a row, you would need to draw a vowel during your first turn and then replace the slip and draw a vowel again on your second turn. Since the slip is replaced after each turn, the probability for each turn remains the same (5/26).

Therefore, the probability of winning twice is:

(5/26) * (5/26) = (25/676)

So, the probability of winning the alphabet game twice in a row is 25/676.

Answer:A: V= (2)(4)(5)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

30% off

Step-by-step explanation:

63 is 70% of 90 which means that 30 percent of the price is off.

Please mark me brainliest. I need it. Hope this helps

A right triangle. The Origin connects 4 blocks up ON the y axis, then connects 2 on the x axis.

Answer:

  x = ±√3

Step-by-step explanation:

In order to avoid extraneous answers, I like to work these by transforming to an expression equal to zero.

  [tex]\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}-\dfrac{9}{6(x-3)}=0\\\\\dfrac{x^2-3}{2(x-3)}=0\\\\x^2=3\\\\\boxed{x=\pm\sqrt{3}}[/tex]

__

If you do this the usual way, by clearing fractions to start, you will get an extraneous solution of x=3.

50% is one half.

One half of 10 miles would be 5 miles.

You can either divide 10 by 2 or multiply 19 by the decimal for 50% which is 0.5 , they will both get you the answer of 5 miles.

Answer:

triangle LMN is similar to triangle RST

Step-by-step explanation: