Why do banks charge a fee when clients transact on their accounts?​

We have Ux =  127.2 ft while we have σx =  1.985 ft

The normal distribution =  127.2 ft

The standard deviation = 27.5 ft

The random sample n is given as n = 192 trees.

sd / √n

= 27.5/√192

= 1.985 ft

Hence we have Mx = 127.2 ft

σx =  1.985 ft

127.2 + 2(1.985) = 131.17

127.2 - 2(1.985) = 123.23

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

For an independent-measures t test, the option that describes the estimated standard error of the difference in sample means is D. an estimate of standard distance between the difference in the sample mean and the difference in the corresponding population mean.

A statistical test called a t test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment actually affects the population of interest or whether two groups differ from one another.

The Independent Samples t Test compares the means of two separate groups to see if there is statistical support that the population mean values are statistically significantly different. A parametric test is called the Independent Samples t Test. For instance, you could determine whether first-year graduate salaries varied by gender using an independent t-test.

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Complete question

for the independent-measures t test, which of the following describes the estimated standard error of the difference in sample means (whose symbol is

a. a weighted average of the two sample

b. the difference between the standard deviationa

c. The variance

d. an estimate of standard distance between the difference in the sample mean and the difference in the corresponding population mean.

Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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We will is the next formula

where

A=final amount

P=principal amount

r= interest rate

t=number of year invested

we have

P=14000

r=5%

t=3 years

we need to substitute the values in the formula

In the account after 3 years will be $16206.75

Answer:

How much will the sales and expenditures be? $30

How many cards will that take?  5 boxes

Lilian’s expenditures will be $__30__ if she sells __5__ boxes of cards of cards.

Step-by-step explanation:

We need an equation of costs and an equation of revenue (income).

Let x = number of boxes.

Let c = costs.

Let r = revenue.

Costs:

$20 fixed cost for the booth

$2 per box, or 2x for x boxes

cost equation: c = 2x + 20

Revenue:

$6 per box, or 6x for x boxes.

revenue equation: r = 6x

We want to find the number of boxes, x, for which the cost and the revenue are equal, r = c.

c = 2x + 20

r = 6x

r = c

6x = 2x + 20

4x = 20

x = 5

With 5 boxes, the costs are:

c = 2x + 20 = 2(5) + 20 = 30

Answer:

How much will the sales and expenditures be? $30

How many cards will that take?  5 boxes

Lilian’s expenditures will be $__30__ if she sells __5__ boxes of cards of cards.

Answer:

Lilian's expenditures will be $0 if she sells 5 boxes of cards of cards

Step-by-step explanation:

20€= euros she paid for the booth

€2= euros for a box

€6= euros she will have for 1 box sold

?= sales

?= expenditures

?= cards sold to have sales=x

x: 5

expenditures: 20+2x=20+2×5=20+10=30

sales: 6x-(expenditures)= 6x-(20+2x)= 6×5-(20+2×5)= 30- (20+10)= 0

x:6

expenditures: 20+2x= 20+2×6=20+12=32

sales: 6x-(20+2x)= 6×6-(20+2×6)= 36- (20+12)=36-32=4

Answer:

"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.

So if he's got 10 quarts, that means 2 and a half gallons.

Step-by-step explanation:

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

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Answer:

The equation is W = 1600 + .03S

Answer:

y=x

Step-by-step explanation:

Suppose the cost of blue shirt is y and cost of yellow shirt is x then y=x

Answer:

15 scarves

Step-by-step explanation:

CROSS MULTIPLICATION METHOD

5 YARDS = x

⅓ YARDS = 1 scarves

⅓x = 5

x = 5×3

x = 15

Answer:

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

Step-by-step explanation:

Black Diamond:  ChargeBD(h) = $50 + ($15/hr)h, where h is the number of hours spent skiing.

Bunny Hill:  ChargeBH(h) = $75 + ($10/hr)h

We equate these two formulas to determine when the cost of using the ski slopes is the same:

ChargeBD(h) = $50 + ($15/hr)h = ChargeBH(h) = $75 + ($10/hr)h

We must now solve for h, the number of hours spent skiing:

50 + 15h = 75 + 10h

Grouping like terms, we obtain:

5h = 25, and so h = 5 hours.

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

shifted left 3 units

Graphed Below:

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

2(2x+6) is the same problem in a different format.

Step-by-step explanation:

Distribute the 2 to each place which gives you 4x+12

Answere : 4 times (x + 3)

Answer:53

Step-by-step explanation:

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

x = 7, y = 45

Step-by-step explanation:

\(7x+13=6x+20\)

\(x=20-13\\x=7\)

Angle

\(7(7)+13=49+13=62^{0}\)

supplementary angle

180 - 62 = 118°

\(3y-17=118\)

\(y=\frac{118+17}{3} =135/3=45\)

Hope this helps

The domain and range of \(f(x) = \frac{x^{2}+ 6x+8}{x+4}\) is  D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2} .

The domain of a function f(x) is set of the value of x for which it is defied and Range of function is set of values f takes .

The rational number  \(f(x) = \frac{p(x)}{q(x)}\) where p(x) and q(x) are polynomial in terms of x and q(x) ≠ 0 . The domain of rational number is set of values that do not cause denominator equal to zero .

The given function is :

\(f(x) = \frac{x^{2}+ 6x+8}{x+4}\)

we need to find domain and range of function,

For domain put denominator equals to zero

x+4 = 0

x = -4

so, domain is every real number except number making it zero

domain = (-∞,-4)∪(-4,∞) and x ≠ -4

For range ,factoring numerator

x²+6x+8 = x²+2x+4x+8

x(x+2)+4(x+2) = (x+4)(x+2)

Putting numerator back,

\(f(x) = \frac{(x+4)(x+2)}{x+4}\)

Cancelling factor (x+4) from numerator and denominator

\(f(x) = x+2\)

Putting x+2 = 0

\(x +2 = 0\\x = -2\)

range = (-∞,-2)∪(-2,∞) and f(x) ≠ -2

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D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2}

I took the test

The variables in the graph are temperature of the water (y-axis) and heating time (x-axis).

At various points on the graph, the relationship between the two variables can be seen as a linear increase in temperature with a corresponding increase in heating time. That is, as the heating time increases, the temperature of the water also increases.

The graph shows the relationship between two variables, heating time and temperature of heated water. The x-axis, or independent variable, represents the heating time, while the y-axis, or dependent variable, records the temperature of the heated water.

At the start of the graph, the heating time is 0 minutes and the temperature of the heated water is also 0 degrees Celsius. As the heating time increases, the temperature of the heated water gradually increases. At 10 minutes, the temperature of the heated water is approximately 20 degrees Celsius.

At 20 minutes, the temperature of the heated water is approximately 50 degrees Celsius. At 30 minutes, the temperature of the heated water is approximately 80 degrees Celsius. At 40 minutes, the temperature of the heated water is approximately 100 degrees Celsius and at 50 minutes, the temperature of the heated water is approximately 120 degrees Celsius.

The relationship between the two variables is linear; as the heating time increases, the temperature of the heated water also increases. The graph shows that the temperature of the heated water increases by approximately 20 degrees Celsius for every 10 minutes of heating time.

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ŷ= 6.45x + 31.5 is the equation of the regression line for the given data

Construct the table of the data as follows:

x    >>>>     y  >>>>  x²  >>>>  y²  >>>>   xy

1                39            1            1521         39

2               45            4           2025       90

3               52             9          2704       156

4               49            16          2401        196

5               61             25         4096       305

5               72            25          5184        360

................................................................................................

20             318           80          17931       1146

.................................................................................................

∑x = 20,  ∑y = 318, ∑x²= 80, ∑xy = 1146,  n = 6 (number data points)

The linear regression equation is of the form:

ŷ = ax + b

where a and b are the slope and y-intercept respectively

a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )

a = (6×1146 - 20×318) / ( 6×80-20² )

a = 6876-6360 / 480-400

a = 516 / 80

a = 6.45

x' =  ∑x/n

x' = 20/6 = 10/3

y' = ∑y/n

y' = 318/6 = 53

b = y' - ax'

b = 53 - 6.45×(10/3)

b = 53 - 21.5

b = 31.5

ŷ = ax + b

ŷ= 6.45x + 31.5

Thus,  the equation of the regression line for the given data is ŷ= 6.45x + 31.5. (The scatter plot of the data is shown in the attached image)

(a) x=3 hours

ŷ= 6.45(3) + 31.5 = 50.85

(b) x=4.5 hours

ŷ= 6.45(4.5) + 31.5 = 60.525

(c) x=13 hours

ŷ= 6.45(13) + 31.5 = 115.35

(d) x=1.5 hours

ŷ= 6.45(1.5) + 31.5 = 41.175

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The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

about 20 cents

Step-by-step explanation:

#Shop A

Pack of 70pens:-

\(\\ \sf\longmapsto 7(2.30)=16.10\)

#2

Pack of 70

\(\\ \sf\longmapsto 14(1.60)=20.80\)

But you get half price

Difference:-

\(\\ \sf\longmapsto 16.10-10.40=5.70\£\)

The general solution, y(t), which solves the problem by the method of integrating factors is; y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)

We want to find the general solution of;

5t(dy/dt) + y = t⁴

We will divide through by 5t to get;

(dy/dt) + y/5t = t³/6

Using Integration factor, we have;

u(t) = e^∫(¹/₅t) dt = t^(¹/₅)

Thus, we now have;

[t^(¹/₅)](dy/dt) +  [t^(¹/₅)]y/5t = [t^(¹/₅)]t³/6

Completing this with a differential calculator gives us the general solution as;

y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.

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The of sum of the fraction 2 1/3 + 5 5/16 + 2/7  is 7 313/336

Fractions are represented as numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing

We want the of sum 2 1/3 + 5 5/16 + 2/7 =

For convenience sake, we can convert the mixed fractions to improper fractions. That is:

2 1/3 = 7/3

5 5/16 = 85/16

2 1/3 + 5 5/16 + 2/7 = 7/3 + 85/16 + 2/7

The LCM of 3, 16 and 7 is 336

                                = (7*112 + 85*21 + 2*48)/336

                                = (784 + 1785 + 96)/336

                                 = 2665/336

                                = 7 313/336

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