Sofia has a bag containing 8 blue beads and 7 red beads only.
She takes one bead out of the bag at random and replaces it.
She does this 90 times.
Find the number of times she expects to take a red bead.

the length of the rope is approximately 11.9 feet.

What is right angle triangle?

The term "right-angled triangle" refers to any triangle with an internal angle that is either a right angle or 90 degrees in value. The right triangle or the 90-degree triangle are other names for this triangle because of this. Right triangles have "opposite" and "adjacent" sides, which refer to the sides that are across from and next to respective angles, respectively. When a right triangle is formed, the hypotenuse is its longest side.

We can consider the flagpole, the ground, and the rope as forming a right triangle. The angle between the flagpole and the rope is 90 degrees, and the angle between the rope and the ground is 35 degrees. Therefore, the angle between the flagpole and the ground is 90 - 35 = 55 degrees.

Let's call the length of the rope "r". We can use the trigonometric function tangent to find r:

tan(35°) = opposite/adjacent = r/20

Multiplying both sides by 20, we get:

r = 20 tan(35°)

Using a calculator, we get:

r ≈ 11.9 feet

Therefore, the length of the rope is approximately 11.9 feet.

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Answer:

0.7(p−250)=p

Step-by-step explanation:

I just took the test

The equation that models the situation is 0.7p = p - $250

Let p represent the television's original price.

If store A advertises a 30% discount, the price of the television would be 70%(100 - 30%) of the original price. This can be represented with the expression 70% x p = 0.7p

If store B reduces the price by $250. This can be represented with the expression: p - $250.

If the prices are equal, the expressions can be equated together:

0.7p = p - $250

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Squaring a number means multiplying the same number by itself.

For example,

\(\\2 \cdot 2 =2^2\\\\a\cdot a =a^2~~ \\\\ (a+1)(a+1) =(a+1)^2 \\\\ (x^{10}+1)(x^{10}+1) =(x^{10}+1)^2\)

The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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Group B has lower range.

Group A shows variability.

Mean is the best to make concussion about age of Salsa students.

Upon visual examination, it appears that Group A is likely to have a lower average age of music students compared to Group B.

This inference is supported by the observation that the majority of data points in Group B are concentrated around younger ages.

In contrast, Group A exhibits a more dispersed distribution of data points across a wider range of ages, including higher.

So, Group B has lower range.

and, Group A shows variability.

Lastly, Mean is the best to make concussion about age of Salsa students.

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Answer:

No, 7, 8 and 9 do not form a right triangle.

Step-by-step explanation:

Assume that the shorter two side lengths are  7 and 8.  Does 7^2 + 8^2 add up to 9^2?  Does 49 + 64 add up to 81?  NO.

No, 7, 8 and 9 do not form a right triangle.

When the unit of labor is 6, the marginal product is 796.

The marginal production function (MP) can be obtained by taking the derivative of the production function with respect to labor (L). In this case, the production function is Q = 4L + 3L² + 7L³. Taking the derivative of this equation with respect to L will give us the marginal production function.

The derivative of the production function with respect to L is MP = 4 + 6L + 21L².

To find the marginal product when the unit of labor is 6, we substitute L = 6 into the marginal production function:

MP = 4 + 6(6) + 21(6)²

  = 4 + 36 + 21(36)

  = 4 + 36 + 756

  = 796.

In summary, the marginal production function is MP = 4 + 6L + 21L², and the marginal product when the unit of labor is 6 is 796. The marginal production function represents the additional output produced when one additional unit of labor is employed.

In this case, the marginal production function is a quadratic function with positive coefficients, indicating increasing returns to scale. The marginal product of labor represents the change in output resulting from a one-unit increase in labor input, given the level of other inputs.

When the unit of labor is 6, the marginal product is found by substituting L = 6 into the marginal production function, resulting in a value of 796. This means that when the firm employs an additional unit of labor (6th unit), the output increases by 796 units.

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Answer:45%

Step-by-step explanation:

After 22 years the amount in the account will be 12,386.

Simple interest is an interest amount calculated on the principal amount with certain interest rate.  It is given by the formula,

                                   \(S.I.=\frac{P*n*r}{100}\)

Where P is the principal amount, n is the number of years, r is the rate of interest.

4,400 is placed in an account i.e., Principal amount, P=4400

With an annual interest rate, r=8.25%

Number of years, n=22 years.

Amount in the account after 12 years will be,

By using simple interest formula,

\(S.I.=\frac{P*n*r}{100}\)

      = \(\frac{4400*8.25*22}{100}\)

      =7,986

Interest amount = 7,896.

Total amount after 22 years= interest amount + principal amount

                                              = 7896+4400

                                              = 12,386.

Hence, after 22 years the amount in the account will be 12,386.

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The required answer is the speed limit of 90 km/h is equivalent to approximately 56 mph.

To convert the speed limit from kilometers per hour (km/h) to miles per hour (mph), use the conversion factor of 1 km/h = 0.621371 mph. Let's follow these steps:

Step 1: Determine the conversion factor.

Since we know the conversion factor is 1 km/h = 0.621371 mph,  use this to convert the speed limit from km/h to mph.

Step 2: Calculate the speed limit in mph.

The given speed limit is 90 km/h. Multiply this value by the conversion factor to obtain the equivalent speed in mph:

90 km/h x 0.621371 mph/km/h = 55.92339 mph

Step 3: Round the result, if necessary.

To provide a practical speed limit, we can round the result to the nearest whole number. Therefore, the speed limit in miles per hour is approximately 56 mph.

Hence, the speed limit of 90 km/h is equivalent to approximately 56 mph.

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Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  2340 small boxes

Step-by-step explanation:

Each unit of measure used for the large box will contain 4 of the smaller boxes. So, in terms of small boxes, the dimensions of the larger box are ...

  (3 1/4)/(1/4) = (13/4)/(1/4) = 13 . . . length

  3/(1/4) = (12/4)/(1/4) = 12 . . . . . . . width

  (3 3/4)/(1/4) = (15/4)/(1/4) = 15 . . . height

Then the number of small boxes that would fit is ...

  length × width × height = 13×12×15 = 2340

2340 cubes of size 1/4 will fit into the larger box.

The indicated measures in the given circle are:

a. m<A = 38°;   b. m(CE) = 56°;    c. m<C = 38°;   d. m<D = 39°;  

e. m<ABE = 67°

In order to find the indicated measures in the circle, recall that the measure of an inscribed angle is half of the measure of the intercepted arc based on the inscribed angle theorem.

Thus, we have:

a. m<A = 1/2(m(BD))

Substitute:

m<A = 1/2(76)

m<A = 38°

b. m(CE) = 2(m<CBE))

Substitute:

m(CE) = 2(28)

m(CE) = 56°

c. m<C = 1/2(m(BD))

Substitute:

m<C = 1/2(76)

m<C = 38°

d. m<D = 1/2(m(AC))

Substitute:

m<D = 1/2(78)

m<D = 39°

e. m<ABE = 1/2(m(ACE))

m<ABE = 1/2(m(AC) + m(CE))

Substitute:

m<ABE = 1/2(78 + 56)

m<ABE = 67°

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The ratio of the number of minutes Declan rode his bike to the number of minutes he had soccer practice is x / (2.5x + 10)

An equation is an expression that shows the relationship between two or more variables and numbers.

From the table:

Number of minutes on ride bike = 2.5(x + 3) + 2.5 = 2.5x + 10

Ratio of ride bike to soccer practice = x / (2.5x + 10)

The ratio of the number of minutes Declan rode his bike to the number of minutes he had soccer practice is x / (2.5x + 10)

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Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

263347200

Step-by-step explanation:

Mark branliest please

For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

y+2=-4(x-2)

for x-intercept=(x,0)

2=-4(x-2)

2=-4x+8

4x=6

x=6/4=3/2

for y-intercept=(0,y)

y+2=-4(*-2)

y=6

The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.

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Answer:  A. The slope is \(-\dfrac{4}{3}\).

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

\(\text{Slope}=\dfrac{d-b}{c-a}\)

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

\(\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}\)

Hence, the slope is \(-\dfrac{4}{3}\).

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

C

Step-by-step explanation:

In D, the x value repeats

Answer:

C

Step-by-step explanation:

C has a positive then negative slope, while D can't even be a function.

I hope this helps :)

Answer:

4/9

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

( -2/3 + 5/6 )

Make common denominators:

-4/6 + 5/6

-1/6

-1/6 ÷ 3/4

KCF:

-1/6 x 4/3 = -4/18 = -2/9

Answer: 14h + 11d

That's it

Answer:

C is the answer, as wind turbines are more expensive

Answer:

Standard form = y = mx + c

m = Δy/Δx

m = 5/2

y = 5/2 x + c

Sub in (4,2)

2 = 10 + c

c = -8

y = 5/2 x - 8  

Step-by-step explanation:

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

C is the correct answer

Step-by-step explanation:

I am only answering this to award the other person brainliest. I also know that this is right because I *just* took the test and I got a 100%

An explicit function to represent the data is \(f(n)=5(3)^{n-1}\), f(5)=405. Therefore, option C is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Using \(y=a(b)^x\), where a is x-intercept and b is the growth factor

The points started from n = 1 not zero and initial value found when the exponent = 0

So, the exponent must be n-1

Here, a=5

So, \(y=5(b)^{x-1}\)

Substitute (x, y)=(2, 15) in above obtained equation

That is, \(15=5(b)^{2-1}\)

⇒ b=3

Now, the function is \(y=5(3)^{x-1}\)

So, \(f(n)=5(3)^{n-1}\)

Now, \(f(5)=5(3)^{5-1}\)

⇒ \(f(5)=5\times81\)

⇒ \(f(5)=405\)

An explicit function to represent the data is \(f(n)=5(3)^{n-1}\), f(5)=405. Therefore, option C is the correct answer.

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Answer:

the best way when I get 100% on them is to explain your view like I disagree with this statement because or agree with this statement and for the conclusion in conclusion of all the facts and statement we have viewed.