You tape two pieces of paper together that each measure
41.36 cm. You then cut off 21.99 cm.
How long is the paper?

The probability of selecting three red ribbons at random from the basket is approximately 2.27%.

In order to calculate the probability of selecting three red ribbons from a basket containing 9 blue, 7 red, and 6 white ribbons, we need to use the concept of combinations.

A combination represents the number of ways to choose items from a larger set without considering the order.

First, let's determine the total number of ways to choose 3 ribbons from the 22 ribbons in the basket (9 blue + 7 red + 6 white). This can be calculated using the combination formula: C(n, k) = n! / (k!(n-k)!), where n is the total number of items and k is the number of items to choose. In this case, n = 22 and k = 3. So, C(22, 3) = 22! / (3!(22-3)!) = 22! / (3!19!) = 1540 possible combinations.

Now, let's find the number of ways to choose 3 red ribbons from the 7 red ribbons available. Using the combination formula again, C(7, 3) = 7! / (3!(7-3)!) = 7! / (3!4!) = 35 combinations.

Finally, to calculate the probability of choosing three red ribbons, we'll divide the number of ways to choose 3 red ribbons by the total number of ways to choose any 3 ribbons: Probability = 35/1540 ≈ 0.0227, or approximately 2.27%.

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Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

The characteristics of normal distributions are as follows: Bell-like in its symmetry.

The distribution's mean and median, which are both at its center, are equal.

68 percent of the data, or approximately, falls within one standard deviation of the mean.

So, the formula is used to determine the Z score for a data point x in a normal distribution:

Z = z - mean/standard deviation

Now, use the formula to calculate the z value as follows:

Z = z - mean/standard deviation

Z = 25 - 16/6

Z = 9/6

Z = 3/2

Z = 1.5

Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

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Answer:

7680000

Step-by-step explanation:

I used my calculator.

Answer:

7,680,000

Step-by-step explanation:

I did the math for you :-)

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Answer:

$15.21

Step-by-step explanation:

Why it would be D is if find out what the 17% is ($2.21) you would add it on top of the $13 and it gives you $15.21 or D.

The surface area of the cylinder with height 7cm and radius 4cm is approximately 88π cm²

Surface area is the measure of the total area that the surface of an object occupies. It includes the area of all faces, sides, and curves.

a cylinder is a three-dimensional shape with a circular base and straight parallel sides that connect to a circular top. Its volume can be calculated as the product of the base area and height.

According to the given information :

To find the surface area of a cylinder using a net, we need to "unwrap" the cylinder into a flat shape, which will consist of a rectangle and two circles. The area of the rectangle will be the lateral area of the cylinder, and the area of the two circles will be the top and bottom areas of the cylinder.

The lateral area of the cylinder is given by the formula:

Lateral Area = 2 x π x r x h

where r is the radius of the cylinder, and h is the height of the cylinder.

The top and bottom areas of the cylinder are each given by the formula:

Top/Bottom Area = π x r²

where r is the radius of the cylinder.

Using the given dimensions, we can calculate the surface area of the cylinder as follows:

Lateral Area = 2 x π x 4cm x 7cm = 56π cm²

Top/Bottom Area = π x 4cm² = 16π cm²

Total Surface Area = Lateral Area + 2 x Top/Bottom Area

Total Surface Area = 56π cm² + 2 x 16π cm² = 88π cm²

Therefore, the surface area of the cylinder with height 7cm and radius 4cm is approximately 88π cm²

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Answer:

\(\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}\)

Step-by-step explanation:

\(f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}\)

Answer:

A(t) = 9000(1 + 0.036/12)^12t

[Function formula for the compound interest]

A = 9000(1 + 0.036/12)^12t

[General formula for the compound interest]

A(1) ≈ 9329.40 $

[Compound interest over 1 year]

Step-by-step explanation:

Compound interest formula:

A = P(1 + r/n)^nt.

P is the principal or starting amount.

r is the interest rate.

n is the number of times compounded per year.

t is the period of time.

Given P is 9000, r is 3.6% or 0.036, n is 12 or monthly, and t is variable.

The following function represents the relationship over time:

A(t) = 9000(1 + 0.036/12)^12t

Answer:

-457.96

Step-by-step explanation:

Step-by-step explanation:

273.15 + °C = K

°C = K - 273.15

0.95K to °C = 0.95 - 273.15 = -272.2°C

°C to °F

(9/5 °C) + 32 = °F

(9/5 × -272.2) + 32 = °F

-489.96 + 32 = °F

= -457.96°F

please mark brainliest

Answer:

Malia would have $5.30 left

Step-by-step explanation:

2.35 x 2 = 4.70

10.00 - 4.70 = 5.30

Answer:

5.93

Step-by-step explanation: hopeed i helped

Michael had 72 books before he acquired the 10 additional books.

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Answer:

12 cups, since .75*16=12

Step-by-step explanation:

The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

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Answer:

a) 3

b) draw a rectangle

Step-by-step explanation:

___

|___| combine the rectangle (3 bottom lines, 3 top lines, 2 left lines, 2 right lines)

Using mathematical induction, we have proved that 6ⁿ + 4 is divisible by 5 for n≥0. This result has important applications in various areas of mathematics and science. The proof demonstrates the power and usefulness of mathematical induction in proving statements for all natural numbers.

To prove that 6ⁿ + 4 is divisible by 5 for n≥0 using induction, we need to show that the statement is true for the base case, and then assume that the statement is true for n=k, and prove that it is also true for n=k+1.

Base case: For n=0, we have 6⁰+ 4 = 5, which is divisible by 5. Therefore, the statement is true for the base case.

Assume that the statement is true for n=k, which means that 6ᵃ+ 4 is divisible by 5.

Proof: Now we need to prove that the statement is also true for n=k+1, which means that we need to show that 6ᵃ⁺¹ + 4 is divisible by 5. (LET k=a)

Using the assumption that 6^k + 4 is divisible by 5, we can write:

6ᵃ⁺¹ + 4 = 6 * 6ᵃ + 4 = 5 * 6ⁿ + 6^k + 4 = 5 * 6ᵃ + (6ᵃ + 4)

Since 6ᵃ + 4 is divisible by 5 (by the assumption), and 5 * 6ᵃis also divisible by 5, we can conclude that 6ᵃ⁺¹+ 4 is divisible by 5.

Therefore, by mathematical induction, we can conclude that 6ⁿ + 4 is divisible by 5 for n≥0.


To prove that 6ⁿ + 4 is divisible by 5 for n≥0 using induction, we need to show that the statement is true for the base case, and then assume that the statement is true for n=k, and prove that it is also true for n=k+1. The base case is n=0, and we can see that 6⁰ + 4 = 5, which is divisible by 5. Assuming that the statement is true for n=k, we can use this to prove that it is also true for n=k+1. By the mathematical induction, we can conclude that 6ⁿ + 4 is divisible by 5 for n≥0.


Using mathematical induction, we have proved that 6ⁿ + 4 is divisible by 5 for n≥0. This result has important applications in various areas of mathematics and science. The proof demonstrates the power and usefulness of mathematical induction in proving statements for all natural numbers.

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The number of lollipops in a container is 206.

These are steps to find the number of lollipops in a container:

1. Let x be the number of lollipops in a packet and 2x be the number of lollipops in a container.

2. According to the given information, we have the equation: 2(2x) + 3x = 721

3. Simplify the equation: 4x + 3x = 721 7x = 721

4. Solve for x: x = 103

5. Substitute x back into the equation to find the number of lollipops in a container: 2x = 2(103) = 206 Therefore, the number of lollipops in a container is 206.

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Answer: yes

A prime factor is number that can only divided by itself and one

Since, 17 can only be divided by 17 and 1, the student is correct

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

44+3x=5x+2x+20

collect like terms:

44+3x=7x+20

move the terms :

3x-7x=20-44

collect like terms calculate :

-4x=-24

divide both sides:

x=6 is the final answer

Answer:

Step-by-step explanation:

The graph for the linear function, g(x) = -x + 1 is shown in the image attached below.

If m represents the slope and b represents the y-intercept of a function, the equation that represents the linear function would be expressed as, y = mx + b

Slope (m) = rise/run = change in y/change in x.

Find the equation of function f:

Slope (m) of function f = rise/run = 2/1

Slope (m) = 2

y-intercept, b, for function f = the point on the y-axis that the line intercepts = -6.

Write the equation for function f by substituting m = 2 and b = -6 into f(x) = mx + b.

f(x) = 2x + (-6)

f(x) = 2x - 6

Given that, g(x) = -½f(x + 2), therefore:

g(x) = -½(2(x + 2) - 6)

g(x) = -½(2x + 4 - 6)

g(x) = -½(2x - 2)

g(x) = -x + 1

Thus, the graph for the linear function, g(x) = -x + 1 is shown in the image attached below.

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Answer:

Yes, it did. Thank you very much.

Answer:

143...is the lcm...

Step-by-step explanation:

lcm (11; 13) = 143: least common multiple, calculated. Numbers have no common prime factors: 143 = 11 × 13...................

Answer:

you can line up the corners of the piece of paper like an roller

Step-by-step explanation:

Answer:

37°

Step-by-step explanation:

Subtract angle IJL from angle IJK.

Answer:

\(x=45 \sqrt{5}\)

Step-by-step explanation:

\(2 \log_3x+\log_35=4\log_315\)

\(\textsf{Apply power log law}\quad n\log_ab=\log_ab^n:\)

\(\implies \log_3x^2+\log_35=\log_315^4\)

\(\textsf{Apply product log law}\quad \log_ab+\log_ac=\log_abc:\)

\(\implies \log_35x^2=\log_315^4\)

\(\textsf{Apply equality log law}\quad \log_ab=\log_ac \implies b=c:\)

\(\implies 5x^2=15^4\)

\(\implies x^2=10125\)

\(\implies x=\pm \sqrt{10125}\)

\(\implies x=\pm \sqrt{2025 \cdot 5}\)

\(\implies x=\pm \sqrt{2025} \sqrt{5}\)

\(\implies x=\pm 45 \sqrt{5}\)

As we cannot take logs of negative numbers,

\(\implies x=45 \sqrt{5}\quad \sf only\)

The evaluated value of the expression (-1) x (-2) x (-3) x (-4) x (-5) is 120.

To evaluate the expression (-1) x (-2) x (-3) x (-4) x (-5), we can simplify the multiplication of negative numbers using the rules of multiplication.

When multiplying negative numbers, we follow the rule that states "a negative multiplied by a negative equals a positive." Applying this rule to the given expression:

(-1) x (-2) x (-3) x (-4) x (-5) = 1 x 2 x 3 x 4 x 5

Multiplying the positive integers together, we get:

1 x 2 x 3 x 4 x 5 = 120

The evaluated value of the expression (-1) x (-2) x (-3) x (-4) x (-5) is 120.

In simpler terms, multiplying five negative numbers together results in a positive value. In this case, the product of -1, -2, -3, -4, and -5 is 120. This illustrates the concept that when an odd number of negative factors are multiplied, the result is negative, but when an even number of negative factors are multiplied, the result is positive.

It's worth noting that the expression can be further simplified by removing the negative signs altogether, resulting in 1 x 2 x 3 x 4 x 5 = 120.

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Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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