A trip to St. Louis from Atlanta will take 7¾ hours. Assuming you're two-thirds of the way there, how much longer, in hours, will the trip take?

To estimate the mean per capita income for a major city in California with an error of at most $0.56 at the 85% confidence level, the economist needs to determine the required sample size.

To calculate the required sample size, we can use the formula: \(n = \left(\frac{{Z \cdot \sigma}}{{E}}\right)^2\), where \(n\) is the sample size, \(Z\) is the Z-score corresponding to the desired confidence level (in this case, for 85% confidence level, \(Z \approx 1.44\)), \(\sigma\) is the known standard deviation (\$6.6), and \(E\) is the desired margin of error (\$0.56). Plugging in the values, we have \(n = \left(\frac{{1.44 \cdot 6.6}}{{0.56}}\right)^2 \approx 52\). Therefore, a sample size of approximately 52 would be required to estimate the mean per capita income with an error of at most $0.56 at the 85% confidence level.

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Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Answer:

125.6

Step-by-step explanation:

Circumference = 2 x pi x r (radius)

                         = 2 x 3.14 x 20

                         = 125.6

Answer: 120

Step-by-step explanation: 20x3x2

20x3=60

60x2=120

Based on the given information, it can be concluded that the value of the euro has decreased relative to the US dollar from 2008 to 2019. The exchange rate between the euro and the US dollar serves as a measure of the value of the euro in international trade.

In 2008, 1 euro was equal to $1.55, indicating that it could buy more US dollars at that time. However, in 2019, the exchange rate had decreased, and 1 euro was equivalent to $1.12, implying that the euro had depreciated against the US dollar.

The depreciation of the euro suggests that over this period, the US dollar gained strength relative to the euro in the international currency market. This could have various implications for international trade and commerce. For example, it may make European exports relatively cheaper, potentially boosting European exports but making imports from the US more expensive for Eurozone countries.

It may also affect tourism, investment flows, and the competitiveness of Eurozone economies in global markets. It is important to note that currency exchange rates are influenced by various factors, including economic conditions, interest rates, inflation, political stability, and market sentiment. Therefore, fluctuations in exchange rates can be influenced by a complex interplay of these factors and may vary over time.

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You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.

Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.

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Ka and Kb are both acid-base equilibrium constants, but they apply to different types of reactions. Ka (acid dissociation constant) is used to describe the dissociation of an acid in water, while Kb (base dissociation constant) is used to describe the dissociation of a base in water.

Specifically, Ka is a measure of the strength of an acid in terms of how easily it donates a proton (H+) to a solvent like water. A higher Ka value indicates a stronger acid, while a lower Ka value indicates a weaker acid. Kb, on the other hand, is a measure of the strength of a base in terms of how easily it accepts a proton (H+) from a solvent like water. A higher Kb value indicates a stronger base, while a lower Kb value indicates a weaker base. There is a mathematical relationship between Ka and Kb for conjugate acid-base pairs, which are molecules or ions that differ by the presence or absence of a single proton. The relationship is expressed by the equation: Ka x Kb = Kw, where Kw is the ion product constant for water, which is 1.0 x 10⁻¹⁴ at 25°C. This relationship shows that the stronger the acid, the weaker its conjugate base, and vice versa.

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what is shown on the graph is a function

The degree of the polynomial is 9

Algebraic expressions are simply described as expressions that are composed of terms, variables, constants, coefficients, and factors.

They are also made up of some mathematical operations, such as;

To determine the degree of a polynomial which is also an example of algebraic expressions, we need to take note of the sum of the exponents.

From the information given,we have that

4q^2rs^6

The degree would be;

= 2 + 1 + 6

Add values

= 9

Hence, the value is 9

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The complete question:

Find the degree of this polynomial. 4q^2rs^6

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

\(y=\frac{3}{2}x\:+3\)

FOR y=9

\(y=\frac{3}{2}x\:+3\)

putting y=9

\(9=\frac{3}{2}x+3\)

switch sides

\(\frac{3}{2}x+3=9\)

subtract 3 from both sides

\(\frac{3}{2}x+3-3=9-3\)

\(\frac{3}{2}x=6\)

\(3x=12\)

\(x=4\)

Hence,

when y=9, x=4

FOR y=6

\(y=\frac{3}{2}x\:+3\)

putting y=6

\(6=\frac{3}{2}x+3\)

switch sides

\(\frac{3}{2}x+3=6\)

subtract 3 from both sides

\(\frac{3}{2}x+3-3=6-3\)

\(\frac{3}{2}x=3\)

\(3x=6\)

\(x=2\)

Hence,

when y=6, x=2

FOR y=0

\(y=\frac{3}{2}x\:+3\)

putting y=0

\(0=\frac{3}{2}x+3\)

switch sides

\(\frac{3}{2}x+3=0\)

subtract 3 from both sides

\(\frac{3}{2}x+3-3=0-3\)

\(\frac{3}{2}x=-3\)

\(3x=-6\)

\(x=-2\)

Hence,

when y=0, x=-2

FOR y=-3

\(y=\frac{3}{2}x\:+3\)

putting y=-3

\(-3=\frac{3}{2}x+3\)

switch sides

\(\frac{3}{2}x+3=-3\)

subtract 3 from both sides

\(\frac{3}{2}x+3-3=-3-3\)

\(\frac{3}{2}x=-6\)

\(3x=-12\)

\(x=-4\)

Hence,

when y=-3, x=-4

Hence, the table becomes:

x                     y

9                    4

6                    2

0                    -2

-3                   -4

\( - 4x + 8 < 8 - 4x\)

First, we multiply -2 in (2x-4) and 4 in (2-x) first.

\( - 4x + 4x < 8 - 8\)

\(0 < 0\)

The inequality is false. Therefore there are no solutions.

Answer:

P = 0.5c - 75

Step-by-step explanation:

Profit is = selling price. - cost price

Cost price is the amount the supplies were bought = $75

The cost of c cups at $0.5 per cup will be

0.5 * c = $0.5c

The profit here is thus;

P = 0.5c - 75

Answer:

186.7 cubes

Step-by-step explanation:

How many LaTeX: \frac{1}{3}1 3 inch cubes does it take to fill a box with width LaTeX: 2\frac{2}{3}2 2 3 inches, length LaTeX: 3\frac{1}{3}3 1 3 inches, and height LaTeX: 2\frac{1}{3}2 1 3 inches?

Step 1

We find the volume of the box

= Length × Width × Height

Length = 3 1/3 inches = 10/3 inches

Width = 2 2/3 inches = 8/3 inches

Height = 2 1/3 inches = 7/3 inches

The volume of the box =

10/3 inches × 8/3 inches × 7/3 inches

= 560/9 cubic Inches

= 62 2/9 cubic inches

Step 2

How many 1/3 inch cubes would fill the box.

This is calculated as:= 62 2/9 cubic inches/ 1/3 inches

= 560/9 ÷ 1/3

= 560/9 × 3/1

= 186.66666667 cubes

Approximately = 186.7 cubes

The solution to the equation below rounded to 2 decimal places is 22.20.

Given the logarithmic expressions

ln x = 3.1

We are to determine the value of "x"

ln x = 3.1

Take the exponent of both sides

e^ln x = e^3.1

The exponent will cancel out the log function to have:

x = e^3.1

x = 22.197

Hence the solution to the equation below rounded to 2 decimal places is 22.20.

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6.75

-2.25

----------

4.50

-2.25

----------

2.25

-2.25

----------

0.00

you could bowl 3 times (it starts off at 6.75 because I took away the cost of the shoes)

Let x = width

Length = 3x

Area = 35

3x * x = 35

3x^2 = 35

x^2 = 35/3

x = √(35/3)

Width = √(35/3)

Length = 3√(35/3)

Answer:

C) 3: 9

Step-by-step explanation:

27: 81

Ratios are same as fractions, that is why 27:81 = 27 / 81

Now that we go this fraction, let's make it an equivalent fraction:

(27 / 9) / (81/9)

=> 3/9

=> 3 : 9

If my answer helped, kindly mark me as the brainliest!  

Thanks!!

The factored form of the polynomial is:

=> [x-(2+i)][x-(2-i)](x-√2)(x+√2)

Given:

In the question:

A polynomial has a leading coefficient of 1 and the following factors with multiplicity 1:

x- (2+i)

x-√2

To find the factored form of the polynomial?

Now, According to the question:

We apply the following to find the factored form of the polynomial.

Complex Conjugate of x- (2+i) = x - (2 - i)

Complex Conjugate of x-√2 = x + √2

Therefore, the factored form of the polynomial is:

=> [x-(2+i)][x-(2-i)](x-√2)(x+√2)

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Answer: c

Step-by-step explanation: I’m sm0rt :0

Answer:

C

Step-by-step explanation:

A. B . C

Answer:

red=28℅,yellow =20℅, purple =16℅, green =12℅, orange=24℅

Step-by-step explanation:

total skittles =125

now,

To find the percentage of each skittles,

red =35 (35 ×100) =28 ℅

125

u can find each ℅ by same method.

hope it help u.

The approximate change formula for a function z=f(x, y) at the point (a, b) in terms of differentials is given by Δz ≈ ∂z/∂x |(a, b) dx + ∂z/∂y |(a, b) dy

Function is equal to,

z=f(x, y)

In terms of differential the approximate change formula at (a, b) is,

Δz ≈ ∂z/∂x |(a, b) dx + ∂z/∂y |(a ,b) dy

where,

Δz is the approximate change in z

∂z/∂x is the partial derivative of z with respect to x

∂z/∂y is the partial derivative of z with respect to y

dx is the small change in x

dy is the small change in y

The vertical bars indicate that the partial derivatives are evaluated at the point (a, b).

This formula represents the total differential of z at the point (a, b).

Which is the linear approximation of the change in z due to small changes in x and y.

It is based on the assumption,

That the change in z is approximately proportional to the changes in x and y and is valid for small changes in x and y.

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a.  3

b. -10

c. 0

dddwdwcd

The height of the cone is 4cm

The parameters given in the question are

volume= 36

radius= 3

The formula for calculating the height of a cone is

height= 3(v/πr²)

= 3(36/3.14×3²)

= 3(36/28.26)

= 3(1.273)

= 3.8

⇒4

Hence the height of the cone is 4 cm

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Answer:

There is only one equilateral triangle possible for the given side length

Step-by-step explanation:

Hope this helps.

Answer:

B. 1

Step-by-step explanation:

Therefore, The journal entry for Johnny to record this transaction is Debit: New laptop for $2,500, Credit: Used laptop for $1,000, Credit: Cash for $800, Credit: Gain on exchange for $700. The journal entry for Barry to record this transaction is: Debit: Old equipment for $120,000, Debit: Loss on exchange for $10,000, Credit: New equipment for $100,000, Credit: Cash for $20,000.

When a company exchanges an old model of a laptop for a new model, the exchange lacks commercial substance. Johnny traded a used laptop with a book value of $1,000 (historical cost of $2,500 minus accumulated depreciation of $1,500) and a fair value of $1.200 for a new laptop with a list price of $2,500. Johnny also needs to pay $800 cash to purchase the new model. The journal entry to record the transaction would be as follows:Debit: New laptop for $2,500Credit: Used laptop for $1,000Credit: Cash for $800Credit: Gain on exchange for $700 ($2,500 - $1,800)Barry trades newer used equipment for an older version of the same equipment that lacks commercial substance. The newer equipment that Barry trades away has a book value of $90,000 (historical cost of $140,000 minus accumulated depreciation of $50,000) and a fair value of $100,000. In addition to receiving the older equipment, Barry receives $20,000 in exchange. The journal entry to record the transaction would be as follows:Debit: Old equipment for $120,000Debit: Loss on exchange for $10,000 ($100,000 - $90,000)Credit: New equipment for $100,000Credit: Cash for $20,000.

Therefore, The journal entry for Johnny to record this transaction is Debit: New laptop for $2,500, Credit: Used laptop for $1,000, Credit: Cash for $800, Credit: Gain on exchange for $700. The journal entry for Barry to record this transaction is: Debit: Old equipment for $120,000, Debit: Loss on exchange for $10,000, Credit: New equipment for $100,000, Credit: Cash for $20,000.

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The level of measurement for the variable "Number of siblings" is a ratio, as it has a true zero point (i.e., having no siblings) and the values can be compared using ratios (e.g., having twice as many siblings as another person).

The level of measurement for a variable refers to the nature of the data and the mathematical properties that can be applied to them. The variable "Number of siblings" is a quantitative variable that can be measured on a ratio scale.

A ratio scale has a true zero point, meaning that having zero siblings is a meaningful and valid response. Additionally, the values can be compared using ratios, such as having twice as many siblings as another person.

This information is important in statistical analysis, as different levels of measurement require different methods of analysis and have different implications for interpreting the results.

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Answer:

85 - 82 = .6h

5 hours

Step-by-step explanation:

85 - 82 = 3h

3 ÷ .6

H = 5

5 hours

I could not see the first question so i couldn't answer.

2) Draw a horizontal line and cut it in half with a vertical angle. 4 equal quarters will form. There each quarter is 90° (right angle is exactly 90°angle)

3) Just add the two angles.

x =13+19

x= 32° (Answer)

4) We must know the other angle value in order to find x. So considering both the angles are equal,

2x = 44

x= 22° (Answer)

5) Yes, x = 80° because the line cutted is a straight line and the value of a straight line is 180°

6) Supplementary angles total 180°

Complementary angles total 90°

7)Opposite angles is equal when two straight lines intersect. So,

14x - 16 = 12x + 22

14x-12x=22+16

2x= 38

x= 19° (Answer)

8) Corresponding angles

9) 140°