Help!!

Part 1: 4^3 * 4^12

Part 2: 2^2 * 2^22

This is due today and help is appreciated!

Answer:

2 (2x+5) +4 (x+2) = 66       x = 6

Step-by-step explanation:

The probability that the sample mean differs from the population mean by 1.8mm and is rounded off to 4 decimal places is 0.8220

According to the given problem the mean diameter μ= 140 mm (population mean) and the standard deviation is σ=8mm

random sample size, n= 49 steel bolts is selected

Let the random variable that represents the diameter of steel bolts be denoted by x and from the problem we have x = 1.8mm

Let z = (x-μ) / (σ/√n )         (1)

using formula (1) and when the sample mean differs from the population mean by more than 1.8mm

z = 1.8/(8/√49 )

⇒z = 63/40 = 1.575

The probability that the sample mean will differ from the population mean by more than 1.8 mm

P( z > 1.575) = 1 - P(z< 1.575) = 1 - 0.178 = 0.822

The probability that the sample mean will differ from the population mean by more than 1.8 mm = 0.8220

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The 95% confidence interval for the proportion of customers who would purchase ice cream is 0.57 to 0.81, which means we are 95% confident that the true proportion falls between 57% and 81%. The point estimate is 69%, and the margin of error used to create the confidence interval is 12%.

A chocolate candy maker considering expanding into ice cream.

Interpret the confidence interval:
The 95% confidence interval for the proportion of all customers who would purchase ice cream is 0.57 to 0.81. This means that we are 95% confident that the true proportion of customers who would buy ice cream falls between 57% and 81%.

Calculate the point estimate and margin of error used to create this confidence interval:
To calculate the point estimate, we take the average of the lower and upper limits of the confidence interval: (0.57 + 0.81) / 2 = 0.69. So, the point estimate is 0.69, or 69%.

To calculate the margin of error, we subtract the lower limit from the point estimate: 0.69 - 0.57 = 0.12. So, the margin of error used to create this confidence interval is 0.12, or 12%.

The 95% confidence interval for the proportion of customers who would purchase ice cream is 0.57 to 0.81, which means we are 95% confident that the true proportion falls between 57% and 81%. The point estimate is 69%, and the margin of error used to create the confidence interval is 12%.

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Answer:

Answer:

this and that, I ain't even gonna cap I don't know the answer  

Step-by-step explanation:

Sarah needed 331 inches more red hair bow than purple hair bow

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Amount of ribbon Sarah needed to make red hair bow = 2145 inches

Amount of ribbon Sarah needed to make purple hair bow = 1814 inches

Now ,

Amount of extra red hair bow needed =
Amount of ribbon Sarah needed to make red hair bow - Amount of ribbon Sarah needed to make purple hair bow

Amount of extra red hair bow needed = 2145 inches - 1814 inches

                                                                = 331 inches

Therefore , the extra ribbon is 331 inches

Hence , Sarah needed 331 inches more red hair bow than purple hair bow

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The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.

It is given that in triangle EFG , right angled at F ,

EG = 8 , FG = 2

By Pythagoras theorem

The length of EF is

8² = 2² + EF²

EF = √(64-4) = √60 = 2√15

The value of the trigonometric ratios is

sin E = Perpendicular / Hypotenuse

sin E = 2 / 8 = 1/4

sin G =  2√15 / 8 = √15 / 4

sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4

Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

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SOLUTION:

Step 1:

In this question, we have that the Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis:

From the graph, we can see that:

Step 2:

We need to dilate about the origin by a scale factor of 1/3, then

we have that:

Step 3 :

We need to reflect across the y-axis:

( x , y ) ------- ( -x, y )

From the graph,

a) The original polygon is in colour Red

b) The dilated image of the original polygon is in colour Blue

c) The reflection of the dilated image is in colour Green.

Answer: D) 1/5

Step-by-step explanation:

Format for point-slope form:  y-y₁=m(x-x₁)

x1, y1 is a point on the line

m is the slope

So in this equation, m = 1/5

so, the slope is 1/5

hope this helps!

If the radius of a cone is doubled and the height remains the same, the volume of the original cone will be affected. To understand this effect, we must first understand the formula for calculating the volume of a cone. The formula is V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.

When the radius of a cone is doubled, we can see that this change will affect the value of r in the formula. If we substitute 2r for r in the formula, we get V = (1/3)π(2r)^2h. Simplifying this equation gives us V = (4/3)πr^2h. This tells us that the volume of the original cone will be multiplied by a factor of four when the radius is doubled and the height remains the same.

In summary, if the radius of a cone is doubled and the height remains the same, the volume of the original cone will be multiplied by a factor of four. This is because the formula for calculating the volume of a cone involves the radius raised to the second power, which means that doubling the radius will quadruple the volume of the cone.

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Answer: $225

Step-by-step explanation:

Let the value of the bond at the purchase price be x.

Based on the information in the question, the equation to solve the question will be:

x + (8% × x) = $243

x + (8/100 × x) = $243

x + 0.08x = $243

1.08x = $243

x = $243/1.08

x = $225

Taylor's mom purchased the bond at $225

Answer:

12: 18 (or simplified, 2: 3)

12 to 18 (or simplified, 2 to 3)

12/18 (or simplified, 2/3)

The missing reasons are

1. Corresponding Angle

2. Alternate Exterior Angle

We know, if a line intersects two parallel lines, the corresponding interior angles on the same side of the transversal will be congruent (equal).

1. Since CL || EK

Then, by the property of parallel line

<BFJ = <ADF (Corresponding Angle)

2. Since CL || EK

Then, by the property of parallel line

<EBH= <LDM (Alternate Exterior Angle)

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The missing quantities are 0.04 units of wood, 0.4 units of paper, and 0.6 units of paper.

To fill in the missing quantities, we can use the technology matrix A and the formula A = [a11 a12; a21 a22], where a11 is the amount of sector 1 used in the production of one unit of sector 1, a12 is the amount of sector 2 used in the production of one unit of sector 1, a21 is the amount of sector 1 used in the production of one unit of sector 2, and a22 is the amount of sector 2 used in the production of one unit of sector 2.

Using this formula, we can fill in the missing quantities as follows:

(a) The amount of wood (sector 2) needed to produce one unit of paper (sector 1) is a12, which is 0.04 units of wood.

(b) The amount of paper (sector 1) used in the production of one unit of paper (sector 1) is a11, which is 0.4 units of paper.

(c) The production of each unit of wood (sector 2) requires the use of a21 units of paper (sector 1), which is 0.6 units of paper.

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3 - 7 + 2 2/6 * 4/5

-4 + 14/6 * 4/5

-4 + 7/3 * 4/5

-4 + 28/15

-32/15

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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The formula relating the monetary multiplier and the reserve ratio shows that as the monetary multiplier increases, the reserve ratio decreases. If the monetary multiplier is 6, the reserve ratio must be 0.167.

To determine the reserve ratio given the monetary multiplier, we can use the formula:

Monetary Multiplier = 1 / Reserve Ratio

Given that the monetary multiplier is 6, we can substitute this value into the formula:

6 = 1 / Reserve Ratio

To isolate the reserve ratio, we can take the reciprocal of both sides of the equation:

1 / 6 = 1 / (1 / Reserve Ratio)

1 / 6 = Reserve Ratio

Therefore, the reserve ratio must be 1/6 or approximately 0.167.

Among the given options, b) 0.167 represents the correct answer.

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The CORRECT answer is:

$6.49 per pair

Step-by-step explanation:

38.94 divided by 6 = 6.49

6.49 <== Add the "$" symbol <=== $6.49

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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The area between two negative scores can be found by taking the absolute difference between the two scores.

The area between two negative scores can be found by taking the absolute difference between the two scores. This is because the absolute difference gives us the distance between the two scores without considering their signs.

To calculate the area between two negative scores, follow these steps:

1. Identify the two negative scores.
2. Subtract the smaller negative score from the larger negative score.
3. Take the absolute value of the result to remove the negative sign.
4. The absolute difference between the two negative scores represents the area between them.

For example, let's say we have two negative scores, -5 and -10. To find the area between them, we subtract -5 from -10, resulting in -10 - (-5) = -10 + 5 = -15. Since we are interested in the distance, we take the absolute value of -15, which gives us 15. Therefore, the area between -5 and -10 is 15.

The absolute difference between two negative scores gives us the area between them. This approach is applicable whenever we want to find the distance or area between any two numbers, not just negative scores.

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Answer:

33.3%

hope that helps

To answer the question, Miae needs 3/8 cup of sugar for 1/2 of a batch, it is important to understand the concept of fractions. miae is baking .the recipe uses 3/4 cup sugar.Miae needs 3/8 cup of sugar for 1/2 of a batch.

To answer the question, Miae needs 3/8 cup of sugar for 1/2 of a batch, it is important to understand the concept of fractions. A fraction is a part of a whole, it is represented by a numerator and denominator, the numerator represents the number of parts and the denominator represents the total number of parts. In this question, the recipe calls for 3/4 cup of sugar for the entire batch, so to get 1/2 of the batch, Miae needs to divide the fraction by 2. To do this, we can either divide the numerator and denominator by 2, or multiply the fraction by 1/2. In this case, 3/4 multiplied by 1/2 is 3/8, so Miae needs 3/8 cup of sugar for 1/2 of a batch.

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Answer:

x=60

Step-by-step explanation:

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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(x+3i)(x-3i)

A real number and an imaginary number are effectively combined to create a complex number. The complex number is written as a+ib, where a and ib are real and imaginary numbers, respectively. Additionally, I = √-1 and both a and b are real numbers.

Consequently, a complex number is a straightforward illustration of the addition of two integers, specifically a real number and an imaginary number. It consists of two parts: one that is entirely real, the other entirely fantastical.

Using complex numbers,

x²+81 = x² - (-9i)²

           = (x²- 9²i²)

           = (x+3i)(x-3i)

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Answer:

y = -x/4 + 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Standard Form:   x + 4y = 12

Step 2: Rewrite

Find slope-intercept form

we know that

The equation of the line in the slope-intercept form is equal to

we have

Solve for y

Subtract  both sides

Divide by  both sides

therefore

the answer is

Y= 1/4x+3

Among the given options, the appropriate method to forecast a time series that has both trend and seasonality is the Holt-Winters method. This method takes into account the trend, seasonality, and level components of the time series to generate accurate forecasts.

The Holt-Winters method, also known as triple exponential smoothing, is a forecasting technique suitable for time series data that exhibit trend and seasonality. It considers three components: level, trend, and seasonality, to capture the underlying patterns in the data.
The method uses exponential smoothing to estimate the level and trend components while incorporating seasonality through seasonal indices. By considering the historical values of the time series, it provides forecasts that account for both the overall trend and the seasonal variations.
On the other hand, simple linear regression with only one independent variable representing time is not suitable for capturing seasonality patterns. Linear regression assumes a linear relationship between the independent variable and the dependent variable and does not account for seasonality fluctuations.
Moving average, while useful for smoothing out random variations in a time series, does not explicitly handle trend and seasonality. It is a simpler method that relies on averaging past values to predict future values, but it does not account for the specific patterns observed in the data.
Exponential smoothing with a single parameter alpha is also not designed to handle seasonality explicitly. It focuses on updating the level component of the time series based on a weighted average of the current and past observations, but it does not consider seasonality effects.
Therefore, the most appropriate method among the given options to forecast a time series with trend and seasonality is the Holt-Winters method.

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Answer:

$93 per hour ?

125-405 = 280

280÷3= 93 per hour

We are given the function

we are to use remainders theorem to find p(3)

Therefore

Given p(3) then x = 3

Hence

Hence, p(3) = - 11

Therefore, the Remainder is - 11

Finding the quotient

Given

Therefore to find the quotient we will use long division method

This gives

Therefore, The quotient is

From the solution above

P(3) = - 11