PLEASE HELPPP (algebra)

The probability of getting a total of 17 is then 6/2197, which simplifies to approximately 0.00273, or 0.273%.

To find the probability of getting a total of 17 when spinning the roulette wheel three times and getting a 2 on the first spin, we need to consider all possible outcomes.

Since we already know that the first spin is a 2, we have two more spins remaining. The remaining spins can result in numbers ranging from 0 to 12.

To get a total of 17, we need the sum of the three spins to be 17. We can calculate the probability by finding the favorable outcomes (combinations of numbers that sum up to 17) and dividing it by the total number of possible outcomes.

Possible combinations that sum up to 17 are:

2 + 7 + 8

2 + 8 + 7

7 + 2 + 8

7 + 8 + 2

8 + 2 + 7

8 + 7 + 2

So, there are six favorable outcomes.

The total number of possible outcomes is given by the product of the number of options for each spin, which is 13 options for each spin (0 to 12).

Therefore, the total number of possible outcomes is 13 * 13 * 13 = 2197.

= 6/2197

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Answer:

218.665

Step-by-step explanation:

Separate by shape, find the areas of the triangles first, so (10.1 x w)/2 To get the missing side you do 30.5-21.4=9.1. then divide that by 2 because you have 2 lines (triangles) that aren't part of the 21.4. After you find the area for the one triangle (10.1 x 4.55)/2=22.9775, multiply by 2 to get the combined area of both triangles. Next step is to find the area of the rectangle, which is just 21.4 x 30.5=216.14. Add all the areas, 45.955+216.14=262.095. Last step is to subtract the area of the shaded region, the rhombus, which is just diagonal x diagonal / 2. so (8.6 x 10.1)/2=43.43. 262.095-43.43=218.665.

Answer:

1. 6

2. 8

3. 10

4. 12

5. 14

Step-by-step explanation:

just solve

Answer:

(x-3) (x-7)

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  +21  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 21 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    x2 - 7x - 3x - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x-3)  •  (x-7)

            Which is the desired factorization

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:

2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:

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Answer:

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Step-by-step explanation:

Answer:

5x + 7

Step-by-step explanation:

\(2(x - 4) + 3(x + 5) = 2x - 8 + 3x + 15 = 5x + 7\)

Step-by-step explanation:

A 62.0 kg person in

a rollercoaster moves 29.2 m/s

at the bottom of a curved track

of radius 33.7 m. What is the normal

force acting on the person?

(Unit = N)

Given:

The volume of a cube-shaped box is \(\dfrac{1}{8}\) cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

\(V=(side)^3\)

\(V=a^3\)

It is given that the volume of a cube-shaped box is \(\dfrac{1}{8}\)  cubic meter.

\(a^3=\dfrac{1}{8}\)

Taking cube root on both sides, we get

\(a=\dfrac{1}{2}\)

Now, the perimeter of each face of a cube is:

\(P=4a\)

Where, a is the side length of the cube.

Putting \(a=\dfrac{1}{2}\), we get

\(P=4\times \dfrac{1}{2}\)

\(P=2\)

Therefore, the perimeter of each face of a cube-shaped box is 2 meters.

Answer: It's 2 meters

Answer:

5.99 • .25 = 1.50

4.99 • 1.5 = 7.48

6.99 • 1 = 6.99

3.99 • 0.75 = 2.99

The costumer will pay approximately $18.96 before taxes.

Step-by-step explanation:

Answer:  x > -8

Step-by-step explanation:

3x - 17 < 4x -  9   subtract 3x from both sides, and add 9 to both sides

-3x + 9 < -3x + 9

0  - 8   <  x  +  0      Rewrite and reverse the sign to simplify

     x > -8

The numbers that are irrational are: c. √121 (square root of 121)

An irrational number is a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

a. 21.10675... is a rational number because it can be expressed as a terminating decimal or fraction.

b. 89 is a rational number because it can be expressed as a whole number or fraction.

c. √121 is an irrational number because the square root of a perfect square is always an integer, and 11 is an integer.

d. 0.011 is a rational number because it can be expressed as a fraction, in this case, 11/100.

Therefore, the only number among the given options that is irrational is √121 (square root of 121).

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Answer:

Jesse is correct

step by step explanation:

Answer:

The best bet would be Jesse.

Step-by-step explanation:

The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

According to the statement

we have a given that the Among the 1000 respondents,

12​% chose chocolate​ pie, and the margin of error was given as

±5 percentage points.

and we have to explain the statement that the margin of error was given as ±5 percentage​ points.

We know that the interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.

And this statements also indicates the interval between the like and unlike respondents of chocolate pie.

So, this statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

So, The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

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Answer:

there are 12 packages of cashews and 24 packages of peanuts

Answer:

Generally, ordered pairs represent a point on the coordinate plane. The first number in the ordered pair would be the x-coordinate and the second number in the ordered pair would be the y-coordinate.

Step-by-step explanation:

Im for sure on this one :)

The difference in grams between the mass of a nickel and the mass of a bee hummingbird is 3.164 grams.

A nickel has a mass of 5 grams. On the other hand, a bee hummingbird, known as the world's smallest bird, has a mass of 1.836 grams. To find the difference between their masses, we subtract the mass of the bee hummingbird from the mass of the nickel.

5 grams (mass of a nickel) - 1.836 grams (mass of a bee hummingbird) = 3.164 grams.

Therefore, the difference in grams between the mass of a nickel and the mass of a bee hummingbird is 3.164 grams. This means that a nickel weighs approximately 3.164 grams more than a bee hummingbird.

In conclusion, the mass difference between a nickel and a bee hummingbird is 3.164 grams. The comparison highlights the vast contrast in size and weight between these two objects, emphasizing the incredibly small mass of the bee hummingbird.

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The peach grower can maximize their harvest by planting 55 trees per acre.

A peach grower finds that if he plants 80 trees per acre, each tree will yield 60 bushels of peaches.

He wants to maximize his harvest. Given that if he plants 80 trees per acre, each tree will yield 60 bushels of peaches; therefore, the yield per acre will be

,60 × 80 = 4800 bushels of peaches.

Now, let's find out how many trees should he plant per acre to maximize his harvest. Let's assume he plants x trees per acre.

Thus, the yield of each tree will decrease by (x - 80) × 2 bushels of peaches.

Therefore, the yield of each tree will be,(60 - (x - 80) × 2) bushels of peaches.And the yield per acre will be,

The yield per acre = x × (60 - (x - 80) × 2) bushels of peaches.

Now, we need to maximize the yield per acre, we can differentiate the yield per acre with respect to x and equate it to 0.

Then solve for x to find the value of x which will give maximum yield.The yield per acre

= x(60 - 2(x - 80))

= x(220 - 2x)

Differentiate the above expression with respect to x and equate it to 0,dy/dx

= 220 - 4x = 0 ⇒

4x = 220 ⇒x = 55

Hence, he should plant 55 trees per acre to maximize his harvest.

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Answer:

9/28 and 32.1%

Step-by-step explanation:

So the sample space consists of all products for (5 * 1, 5 * 2, 5 * 3.... and the same thing for 6, 7, and 8)

This gives you the sample space: {5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36, 7, 14, 21, 28, 35, 42, 8, 16, 24, 32, 40, 48}.

The size of the sample space is 4 * 6, since for each number (5, 6, 7, 8), there are 6 products (the dice have six numbers). This means the sample space has 24 combinations, you can also verify this by manually counting the sample space.

Now filtering the sample space so you only get a product that is 28 or higher you get: {30, 30, 36, 28, 35, 42, 32, 40, 48} which has 9 possible combinations that have a product greater than or equal to 28. Divide this by the entire sample space and you get a probability of: 9/28, which in decimal form is approximately: \(0.3214\). Multiplying this by 100 gives you: \(32.1\)%

The value of the composition function g ( f ( 0 ) ) = 2

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 4x + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = 5x - 3

Now , the composition function is g ( f ( 0 ) )

where the value of f ( 0 ) is

f ( 0 ) = 4 ( 0 ) + 1

f ( 0 ) = 1

Now , the value of g ( 1 ) is

g ( 1 ) = 5 ( 1 ) - 3

g ( 1 ) = 2

Therefore , the value of g ( 1 ) is 2

Hence , the composition function is solved and the value is 2

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a. There are 648 integers from 1 through 999 that do not have any repeated digits.

b. There are 351 integers from 1 through 999 that have at least one repeated digit.

c. The probability that an integer chosen at random from 1 through 999 has at least one repeated digit is approximately 0.351.

Learn more about the count of integers without repeated digits from 1 to 999.In a range from 1 through 999, there are 900 integers in total. To determine the number of integers without repeated digits, we need to consider the possible combinations. For the hundreds place, there are 9 options (1-9) since zero cannot be used as the first digit. For the tens place, there are 9 options again (0-9 excluding the digit already used in the hundreds place). Similarly, for the units place, there are 8 options available (0-9 excluding the two digits already used in the hundreds and tens places). Multiplying these options together, we get 9 * 9 * 8 = 648 integers without repeated digits.To calculate the number of integers with at least one repeated digit, we can subtract the count of integers without repeated digits from the total count of integers in the range. Therefore, 900 - 648 = 252 integers have at least one repeated digit.

To find the probability, we divide the count of integers with at least one repeated digit by the total count of integers in the range, resulting in 252 / 900 ≈ 0.351. Therefore, the probability that a randomly chosen integer from 1 through 999 has at least one repeated digit is approximately 0.351.

Out of the three-digit integers from 100 to 999, there are 351 integers that have at least one repeated digit. To determine this count, we subtract the number of unique-digit integers (648) from the total count of three-digit integers (900). Hence, 900 - 648 = 252 integers have at least one digit repeated.

If a three-digit integer is randomly selected from the range 100 to 999, the probability that it will have at least one repeated digit is approximately 0.39 or 39%. This probability is calculated by dividing the count of integers with repeated digits (351) by the total count of three-digit integers (900). Therefore, the probability is 351 / 900 ≈ 0.39 or 39%.

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Answer:

300cl

Step-by-step explanation:

5 : 3

? : 180

Divide 180 by 3 to find out how much more orange squash has been used.

180 / 3 = 60

Multiply 5 by 60.

5 x 60 = 300 (5 x 6 x 10)

300 : 180

The volume of a square pyramid is

Where a is the length of each base side.

First, we have to find a using the perimeter.

Then, we find h using Pythagorean's Theorem,

Where c = 25in, b = 7in, and a represents the height h

Now, we find the volume

Answer:

Step-by-step explanation:

May I please see the graph?

Answer:

-3

Step-by-step explanation:

Answer:

\(x=\frac{289\pm \sqrt{1873}}{42}\)

Answer:

(6,2)

Step-by-step explanation:

i used elimination method

Answer:

(6,14)

Step-by-step explanation:

(a) the Riemann sum using left endpoints and n equals 4 is L₄ = 1620.

(b) the Riemann sum using right endpoints and n equals 4 is R₄ = 2916.

What is riemann sum?

A Riemann sum is a method used in calculus to approximate the area under a curve or the value of an integral. It involves dividing the region under the curve into smaller subintervals and approximating the area of each subinterval using a specific rule.

To find the Riemann sum using left endpoints and n equals 4, we need to divide the interval [2, 14] into four equal subintervals. The width of each subinterval, denoted as Δx, is calculated as (b - a) / n, where b is the upper limit (14) and a is the lower limit (2).

So, Δx = (14 - 2) / 4 = 12 / 4 = 3.

Now, we evaluate the function at the left endpoint of each subinterval and multiply it by the width (Δx).

The left endpoints for n = 4 are: x₀ = 2, x₁ = 5, x₂ = 8, x₃ = 11.

The Riemann sum using left endpoints is given by:

L₄ = f(x₀) Δx + f(x₁) Δx + f(x₂) Δx + f(x₃) Δx.

Now, let's substitute the given function f(x) = 2x² + 4x + 2 into the Riemann sum equation:

L₄ = (2x₀² + 4x₀ + 2) Δx + (2x₁² + 4x₁ + 2) Δx + (2x₂² + 4x₂ + 2) Δx + (2x₃² + 4x₃ + 2) Δx.

L₄ = (2(2)² + 4(2) + 2) (3) + (2(5)² + 4(5) + 2) (3) + (2(8)² + 4(8) + 2) (3) + (2(11)² + 4(11) + 2) (3).

L₄ = (8 + 8 + 2) (3) + (50 + 20 + 2) (3) + (128 + 32 + 2) (3) + (242 + 44 + 2) (3).

L₄ = (18)(3) + (72)(3) + (162)(3) + (288)(3).

L₄ = 54 + 216 + 486 + 864.

L₄ = 1620.

Therefore, the Riemann sum using left endpoints and n equals 4 is L₄ = 1620.

To find the Riemann sum using right endpoints and n equals 4, the process is similar. However, this time we evaluate the function at the right endpoint of each subinterval.

The right endpoints for n = 4 are: x₁ = 5, x₂ = 8, x₃ = 11, x₄ = 14.

The Riemann sum using right endpoints is given by:

R₄ = f(x₁) Δx + f(x₂) Δx + f(x₃) Δx + f(x₄) Δx.

Substituting the function into the Riemann sum equation:

R₄ = (2x₁² + 4x₁ + 2) Δx + (2x₂² + 4x₂ + 2) Δx + (2x₃² + 4x₃ + 2) Δx + (2x₄² + 4x₄ + 2) Δx.

R₄ = (2(5)² + 4(5) + 2) (3) + (2(8)² + 4(8) + 2) (3) + (2(11)² + 4(11) + 2) (3) + (2(14)² + 4(14) + 2) (3).

R₄ = (50 + 20 + 2) (3) + (128 + 32 + 2) (3) + (242 + 44 + 2) (3) + (392 + 56 + 2) (3).

R₄ = (72)(3) + (162)(3) + (288)(3) + (450)(3).

R₄ = 216 + 486 + 864 + 1350.

R₄ = 2916.

Therefore, the Riemann sum using right endpoints and n equals 4 is R₄ = 2916.

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Answer:

The error is that the question equals -13-13.

Step-by-step explanation:

This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)