help me pleaseeeeeeeee

Using the normal distribution, the probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

Normal distribution refers to a continuous probability distribution wherein values lie in a symmetrical fashion mostly centered around the mean. In a normal distribution, the probability is calculated using the z-score of a measure X. A Z-score refers to a numerical measurement that defines a value's relationship to the mean (of a group of values).

In order to determine the probability of the sample proportion, the z-score of a measure X is determined.

z-score = (X - µ)/σ where µ is the mean and σ is the standard deviation.

The standard deviation σ = √(p(1-p)/n

From the given data:

n = no of random sample = 145

p = probability of success (household spending more than $125) = 0.32

Hence,

σ = √((0.32(1-0.32)/145) = 0.0387

Calculating the z-score when X = 0.3

z-score = (0.3 – 0.32)/0.0387 = -0.516

From the table, the probability of z = -0.516

P(X<z) = 0.30293 or 30.29%

The probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

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Answer:

  58 in²

Step-by-step explanation:

A horizontal line across the wide part of the pentagon will divide it into an upper triangle and a lower trapezoid. To find the area of the figure, you can use the formula for the area of a triangle (twice) and the formula for the area of a trapezoid.

  A = 1/2bh . . . . area of triangle with base b and height h

  A = 1/2(b1 +b2)h . . . . area of trapezoid with bases b1, b2, and height h

top triangle

The base is 6 in, the height is (8 -5) = 3 in. Its area is ...

  A = 1/2(6 in)(3 in) = 9 in²

middle trapezoid

The bases are 4 in and 6 in, and the height is 5 in. Its area is ...

  A = 1/2(4 in + 6 in)(5 in) = 25 in²

bottom triangle

The base is 8 in, and the height is 6 in. Its area is ...

  A = 1/2(8 in)(6 in) = 24 in²

Then the area of the figure is ...

  top triangle + trapezoid + bottom triangle

  = 9 in² +25 in² +24 in² = 58 in² . . . . area of the figure

Answer:

465

Step-by-step explanation:

Of means multiply

310% * 150

Change to decimal form

3.10 * 150

465

Answer:

465

Step-by-step explanation:

1 percent of 150 is 1.5.

Multiply 1.5 by 310 to 465

Answer:

Answer 3 (y=55x+20)

Step-by-step explanation:

The question says 55 each, meaning we don't know how much so u put x after 55. 20 is the additional cost that you pay only once.

As per the concept of permutation 100 out of the 800 students at the college live on campus and are 20 years old or less.

A permutation is the arrangement of objects in a specific order. In this problem, we are trying to find the number of students who live on campus and are 20 years old or less.

From the information given, we know that 250 students live on campus and are more than 20 years old. If there are 800 students in total at the college, then the number of students who are not living on campus is

=> 800 - 250 = 550.

We also know that 640 students at the college are more than 20 years old. This means that the number of students who are 20 years old or less is

=> 800 - 640 = 160.

Finally, we know that 60 students at the college are 20 years old or less and live off campus.

So, the number of students who live on campus and are 20 years old or less is

=> 160 - 60 = 100.

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The surface area of the complex shape is 3,737,996 square feet.

To find the surface area of this complex shape, we need to break it down into simpler shapes and calculate their individual surface areas.

First, we can see that the shape consists of a rectangular prism (the block) and two triangular prisms (the roofs).

The rectangular prism has dimensions of 408 ft x 458 ft x 545 ft, and the triangular prisms have a height of 720 ft and a base of 680 ft.

The surface area of the rectangular prism is given by:

2lw + 2lh + 2wh = 2(408 x 458) + 2(408 x 545) + 2(458 x 545)

                          = \(1,739,276 ft^2\)

The surface area of one of the triangular prisms is given by:

2(lw/2) + lh + wb = 2(680 x 720/2) + 720 x 408 + 680 x 545

                           = \(999,360 ft^2\)

Since there are two triangular prisms, we need to multiply this by 2:

2(999,360) = 1,998,720 \(ft^2\)

Therefore, the total surface area of the complex shape is:

1,739,276 + 1,998,720 = 3,737,996 \(ft^2\)

So, the surface area of the complex shape is 3,737,996 square feet.

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Answer: 60

Step-by-step explanation:10 x 6 = 60 ( Also, 6x6x6x6x6x6x6x6x6x6 = 60

It is important to note that continuous random variables typically represent measured data, such as the weight or height of an individual, while discrete random variables typically represent counted data, such as the number of heads in a series of coin flips.

The mean of a probability distribution, also known as the expected value, is a measure of central tendency that represents the average value of a random variable in the long run. It is calculated by taking the weighted average of all possible values that the random variable can take, with the weights being the probabilities of each value occurring.

In the case of a discrete random variable, the mean is calculated by multiplying each possible value by its probability and then summing the results. For a continuous random variable, the mean is calculated by integrating the product of the value and its probability density function over the entire range of possible values.

The mean is significant because it provides a measure of the central tendency of a probability distribution, which can be used to make predictions about future outcomes. It is also used in various applications, such as calculating the expected value of a financial investment or the expected number of occurrences of an event in a given time period.

It is important to note that continuous random variables typically represent measured data, such as the weight or height of an individual, while discrete random variables typically represent counted data, such as the number of heads in a series of coin flips.

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The radius of the circle is 18 cm.

Explanation: -

suppose radius of the circle is r, where an angle of 2 radians cuts off an arc of 36 cm, to find the radius of the circle use the formula :

Arc length = radius × angle (in radians)

In this case, the arc length is 36 cm, and the angle is 2 radians. Rearrange the formula to find the radius:

radius = arc length / angle

substitute the value of the arc length and angle ( in radian) in the above mention formula:

radius = 36 cm / 2 radians

radius = 18 cm

Thus, radius of the circle is 18 cm.

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Answer:

Two pens will cost you $3.35

Step-by-step explanation:

2.30*.5=1.15

2.30+1.15=3.35

The cost of the chocolate for 110 bon-bons  as per given radius , density and cost is equal to $8.80 to the nearest cent.

Volume of a sphere with radius r is ,

V = ( 4/3 )πr³

Radius 'r' of each chocolate bon-bon is 0.8 cm,

Volume of each bon-bon is equals to,

V = ( 4/3 )π (0.8)³

   = 2.144 cm³

Density 'ρ' of the chocolate is 1.3 g/cm^3,

Mass 'm'  of each bon-bon is equals to,

m = ρV

   = ( 1.3 ) ( 2.144 )

   = 2.78grams

The cost of the chocolate used in each bon-bon is $0.03 per gram,

This implies,

Cost of the chocolate used in one bon-bon is ,

= ( 0.03 ) × 2.78

= 0.0834

Rounding to the nearest cent, the cost of the chocolate for one bon-bon is $0.08.

Cost of the chocolate for 110 bon-bons,

= 110 × 0.08

= 8.8

Therefore, the chocolate for 110 bon-bons would cost $8.80 to the nearest cent.

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The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

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Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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Answer:

100 meters

Step-by-step explanation:

Since the backyard is a square, each side is the same length and there are 4 sides. So, 400÷4=100

To find the map's scale, use the formula below:

In this exercise,

map distane = 9 inches

distance on the ground = 3 miles.

So, the map scale is:

Dividing both numerator and denominator by 3:

The map scale is: 3 inches : 1 mile.

The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

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The required sequences are

a) a₁ = 1, a\(_{n}\) = 2 × \(a_{(n-1)}\)) for n > 1;

b) a₁ = 0, a₂ = 1,  a\(_{n}\) = \(a_{(n-1)}\))  + \(a_{(n-2)}\)) for n > 2;

c) a₁ = 3,  a\(_{n}\) = \(a_{(n-1)}\) + 4 for n > 1;

d) a₁ = 1, a\(_{n}\)  = \(a_{(n-1)}\) + n for n > 1.

What is a Recursive definition.?

A recursive definition is a mathematical definition that defines a sequence, set, or function in terms of its previous terms or values. In other words, a recursive definition uses the value of a term to define the next term. This definition is often used in mathematics to describe complex patterns or structures that can be broken down into simpler pieces. Recursive definitions are commonly used in computer science, where they are used to define algorithms and data structures.

a) The recursive definition for this sequence is: a\(_{n}\) = 2 × \(a_{(n-1)}\),

where a₁ = 1. This means that each term is obtained by multiplying the previous term by 2.

For example,

a₂ = 2a₁ = 2(1) = 2, a₃ = 2a₂ = 2(2) = 4, a₄ = 2a₃ = 2(4) = 8, and so on.

b) The recursive definition for this sequence is: b\(_{n}\) = \(b_{n-1}\) + \(b_{n-2}\), where b₁ = 0 and b₂ = 1. This means that each term is obtained by adding the previous two terms.

For example, b₃ = b₂ + b₁ = 1 + 0 = 1, b₄ = b₃ + b₂ = 1 + 1 = 2,

b₅ = b₄ + b₃= 2 + 1 = 3, b₆ = b₅ + b₄ = 3 + 2 = 5, and so on.

c) The recursive definition for this sequence is: \(c_n\) = \(c_{n-1}\) + 4, where \(c_1\) = 3. This means that each term is obtained by adding 4 to the previous term. For example, c₂ = c₁+ 4 = 3 + 4 = 7, c₃ = c₂ + 4 = 7 + 4 = 11, c₄ = c₃ + 4 = 11 + 4 = 15, and so on.

d) The recursive definition for this sequence is \(d_n\) = \(d_{n-1}\) + n, where \(d_1\) = 1. This means that each term is obtained by adding the current term number to the previous term.

For example, d₂ = d₁ + 2 = 1 + 2 = 3, d₃ = d₂ + 3 = 3 + 3 = 6, d₄ = d₃ + 4 = 6 + 4 = 10, and so on.

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Complete Question: Provide a recursive definition for each of the following sequences, and label each sequence with the corresponding letter:

a) 1, 2, 4, 8, 16, ...

b) 0, 1, 1, 2, 3, 5, 8, 13, ...

c) 3, 7, 11, 15, 19, ...

d) 1, 3, 6, 10, 15, ...

The least common denominator is \((x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)\)

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

Reasonable expressions resemble fractions with variable denominators (and often numerators too).

For rational expressions, any value can be entered with the exception of those that set the denominator to 0 (because division by 0 is an undefinable operation).

In other words, all real numbers other than those that make a rational expression's denominator zero are included in the domain of a rational expression.

\(x^2-3x-4 = (x-4)(x+1)\\x^2-6x+8 = (x-4)(x-2)\)

The least common denominator is: \((x-4)(x+1)(x-2)\)

To add these two rational expressions, we need to rewrite each of them with the LCD as the denominator:

\((x^2-3x-4)/(x-4)(x+1) = [(x-4)(x+1)]/(x-4)(x+1)(x-2) = 1/(x-2)\\(x^2-6x+8)/(x-4)(x-2) = [(x-4)(x-2)]/(x-4)(x+1)(x-2) = 1/(x+1)\)

So the sum of the numerators is 1 + 1 = 2.

Therefore,\((x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)\)

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Answer:

x = -6 and y = -3

Step-by-step explanation:

x- 4y =6

x =4y +6......(i)

5x -4y =-18

20y +30 - 4y = -18

16y = -48

y = -3

x = -12+6

x = -6

Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.

To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

In the given information, we don't have a right triangle or the length of the side opposite angle ABC.

Without this information, it is not possible to calculate the value of sin(ABC) accurately.

If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).

We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).

The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.

A right triangle or the length of the side opposite angle ABC are absent from the provided information.

The value of sin(ABC) cannot be reliably calculated without these information.

Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).

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The correct simplification of the expression is c12 (option c).

The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.

Thus, we have:

(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]

Simplifying the exponent 4*3, we get:

c^(4*3) = c^12

Therefore, the correct simplification of the expression is c^12.

Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.

In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.

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Answer:

Scroll Down Below...

Step-by-step explanation:

To decipher to the likely second-order undeviating alike characteristic equating accompanying beginning environments, we can use the form of unproven coefficients.The characteristic equating for the similar constituent the characteristic equating is:r^2 - 4r + 3 = 0Factoring the equating, we have:(r - 1)(r - 3) = 0So the ancestries of the characteristic equating are r1 = 1 and r2 = 3.The inexact resolution for the comparable part is before:y_h(x) = c1 * e^(x) + c2 * e^(3x)To find the indicated resolution, we adopt it has the form:y_p(x) = Ax^2 + Bx + CTaking the descendants of y_p(x), we have:y_p'(x) = 2Ax + By_p''(x) = 2ASubstituting these products into the original characteristic equating, we receive:2A - 4(2Ax + B) + 3(Ax^2 + Bx + C) = 9x^2 - 12Simplifying the equating, we have:(3A)x^2 + (-8A + 3B)x + (2A - 4B + 3C) = 9x^2 - 12Equating the coefficients of like capacities of x, we have the following structure of equatings:3A = 9-8A + 3B = 02A - 4B + 3C = -12Solving this order of equatings, we find A = 3, B = 8, and C = -14.Therefore, the indicated resolution is:y_p(x) = 3x^2 + 8x - 14The common resolution to the original characteristic equating is the total of the alike and particular resolutions:y(x) = y_h(x) + y_p(x)     = c1 * e^x + c2 * e^(3x) + 3x^2 + 8x - 14To find the particular resolution accompanying the likely beginning environments, we substitute the principles into the common answer:y(0) = c1 * e^0 + c2 * e^(3*0) + 3(0)^2 + 8(0) - 14 = 6c1 + c2 - 14 = 6y'(x) = c1 * e^x + 3c2 * e^(3x) + 6x + 8y'(0) = c1 * e^0 + 3c2 * e^(3*0) + 6(0) + 8 = 8c1 + 3c2 + 8 = 8Solving this plan of equatings, we find c1 = 10 and c2 = 4.Therefore, the particular resolution to the likely characteristic equating accompanying the primary environments is:y(x) = 10 * e^x + 4 * e^(3x) + 3x^2 + 8x - 14

Answer:

-6×-6

36 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

see explanation

Step-by-step explanation:

rounding each number to 1 significant figure

(a)

763 × 42

≈ 800 × 40

= 32000

(b)

39 × 52

≈ 40 × 50

= 2000

(c)

3.8 × 4.9

≈ 4 × 5

= 20

Since given total fruits are 20

So lets name fruit by its first letter,

according to question,

5A, 2P, 3B, and x grapes(say)

Hence, she had 10 grapes.

Answer:

10 fruits

Step-by-step explanation:

\(\frac{8}{5}\) Converted to decimal is 1.6

Answer: