Suppose we were to gather a random sample of 28 observations from a population and wished to calculate a 95% confidence interval for the mean, µ, in the case where the population standard deviation, σ, is unknown. Enter the value from the Student's t distribution that we would use, to three decimal places

Option A) Buying a laptop will be most affordable among all the options as per the Selling price with Sales tax included.

The selling price is the price at which a thing is sold. Typically, it is identified as SP. also known as a selling price on occasion.

Shop owners essentially mark this as a promotional item to give discounts to customers in a way that,

When a product is sold to a buyer, the government levies sales tax (abbreviated as ST). This tax will be collected by the merchant and paid to the government. As a result, it is added to the bill after being charged on the item's selling price.

For Laptop,

Selling Price = (100-40)% of 2399.99

                     = 60% of 2399.99 = $ 1439.99

Total bill = 1439.99 + 8.2% of 1439.99

              = 1439.99 + 118.08 = $ 1558.07

For Smart TV,

Selling Price = (100-10)% of 1799.99

                     = 90% 0f 1799.99 = $ 1619.99

Total bill = 1619.99 + 4.5% of 1619.99

               = 1619.99 + 72.9 = $ 1692.89

For Iphone,

Selling Price = (100-5)% of 1699.99

                     = 95% 0f 1699.99 = $ 1614.99

Total bill = 1614.99 + 6.8% of 1614.99

               = 1614.99 + 109.82 = $ 1724.81

For GeForce RTX 3090 Graphics Card,

Selling Price = 2199.99 - 500 = $ 1699.99

Total bill = 1699.99 + 7.5% of 1699.99

               = 1699.99 + 127.5 = $ 1827.49

Total bill

Graphics Card > Iphone > Smart TV> Laptop.

Option A) Buying a laptop will be most affordable among all the options.

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Answer:

38.89%

Step-by-step explanation:

the whole p8e chart is 360° as a perfect circle would be,

so : 360° - ( 66° + 144° ) = 360° - 210° = 140°

140° of the pie chart was cast in favor of candidat C.

(140° ÷ 360°) × 100 = 38.89%

Answer:

-6

Step-by-step explanation:

14 - 8 = 6

Answer:

-6

Step-by-step explanation:

u subtracted right but its a negative and a positive and the -14 is bigger than the 8 so it would be a negative answer which is -6

Answer:

z > 1.5

Step-by-step explanation:

Given: The image shown

To Determine: The value of the unknown

Solution

Let us apply the pytahgoras theorem

From the right triangle ABD

Hence, the unknown side is 4√2 inches

Answer:

6. (x,y) -> (x,y-4)

7. (x,y) -> (-x,y)

Step-by-step explanation:

6. You shift it 4 units down. Y makes things go up and down.

7. Youre flipping it over the Y axis. It doesnt change the Y values, only the X.

The z-score for this amount of advertising time will be -5.217.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A TV slot guarantees how much promotion each hour of transmission time has a normal of 17 minutes and a standard deviation equivalent to 2.3 minutes.

The amount of advertising time is equal to 5 minutes. Then the z-score is calculated as,

z = (5 - 17) / 2.3

z = -12/ 2.3

z = -5.217

The z-score for this amount of advertising time will be -5.217.

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Answer:

2(r+4)(r-4)

Step-by-step explanation

First, you want to factor out 2 from both terms, which gives you 2(r^2-16). Then you want to recognize that (r^2-16) is factorable into 2 terms. If you multiply (r+4) by (r-4) then you are given (r^2-16) as a result.

Answer:

Step-by-step explanation:

Using a proportional relationship, the costs are given as follows:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

A proportional relationship may also involve multiple variables, as is the case in this problem, in which the cost is a function of the number of bags of popcorn p and the number of drinks d.

The constants are the prices of each product, hence the function for the total cost of p bags of popcorn and d drinks is given by:

C(p,d) = 3.35p + 4d.

Hence, for 3 bags and 8 drinks, the cost is:

C(3,8) = 3.35(3) + 4(8) = $42.05.

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(Excuse me if this doesn't make sense).

Your formula would be (4,1)

Your zero is (0,0)

To graph it:

If your y is 1, your x is 4

If your y is 2, your x is 8.

There's a video for this if my explanation and photo doesn't help

Answer:

what label?

Step-by-step explanation:

Can you maybe add a picture?

Thanks

Answer:

L

Step-by-step explanation:

if the chocolate was heavier it wouldn't fit in the wrapper properly. its more likely for it to be lighter that heavier.

Answer:

Cj has a greater rate of change with 13/2

Step-by-step explanation:

CJ: 13 / 2 = 6.5  =    y = 6.5 x

Holland: y = 6x

The two-way table is an illustration of probability, and the value of P(Adult|Second run) is 0.600

The probability to calculate is given as: P(Adult|Second run)

This means:

The probability that an Adult is selected given that the adult runs the second run

The formula to solve this is:

P(Adult|Second run) = n(Adult and Second run)/n(Second run)

From the table, we have:

n(Adult and Second run) = 219

n(Second run) = 365

So, we have:

P(Adult|Second run) = 219/365

Evaluate

P(Adult|Second run) = 0.600

Hence, the value of P(Adult|Second run) is 0.600

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Answer:

The value of P rounded to the nearest thousandth would be 0.6

Hope this helped!

Answer:

54 - (2n)

Step-by-step explanation:

First you take 54

Then its says to “decrease (said number: 54) by twice a number”

Decrease meaning “take away/remove”.

So you subtract 54 by 2 —> 54 - 2

But then, the important line comes along, “Use the variable n to represent the unknown number.

This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.

So your answer is —> 54 - (2n)

Answer:

54 - 2n

Step-by-step explanation:

54 - 2n

The steady-state solutions of y'(t) =

\( y^2 - 15y + 56\)

are y = 7 and y = 8, with y = 7 being a stable equilibrium point and y = 8 being an unstable equilibrium point.

The steady-state solutions of a differential equation are the values of the function that remain constant over time. To find the steady-state solutions of the given differential equation, we need to set y'(t) = 0 and solve for y.

\(y^2 - 15y + 56 = 0\)

We can factor this quadratic equation as (y-7)(y-8) = 0, so the steady-state solutions are y = 7 and y = 8. These values are called equilibrium points or fixed points because if y(t) starts at one of these values, it will remain there as time goes on.

To understand the behavior of the system around these steady-state solutions, we can use the first derivative test. If y'(t) > 0 for y < 7 or y > 8, then y(t) is increasing and moving away from the steady-state solution. If y'(t) < 0 for 7 < y < 8, then y(t) is decreasing and moving towards the steady-state solution. Hence, y = 7 is a stable equilibrium point, and y = 8 is an unstable equilibrium point.

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The time spent practicing and the number of free throws made has a positive correlation. The number of items bought and the checking account balance has a negative correlation. The height of baseball player and the

number of hits made has no correlation.

About positive correlation:

Two variables that move together, or in the same direction, are said to have a positive correlation. When one variable rises while the other rises or when one variable falls while the other falls, there is a positive correlation.

About negative correlation:

A negative or inverse relationship between two variables in statistics exists when higher values of one variable tend to be correlated with lower values of the other. Such scenarios have negative correlation.

About no correlation:

When two events or variables are unaffected by each other or are not inter-related, they are said to possess no correlation.

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Answer:

option 1 is positive option 2 is negative option 3 is none

Step-by-step explanation:

Enginuity said so

The constant of proportionality for the relationship of millimeters of rainwater to time in hours is 48 millimeter/hour.

Given that the measuring tool captures rain falling at a constant.The table shows the height of rainwater in the measuring tool and the number of minutes it rains as shown in attached image.

A ratio is a mathematical comparison between two numbers. In proportion, if two given sets of numbers increase or decrease by the same ratio then the given ratios are said to be proportional.

Now we will calculate the proportion by using the formula

Ratio=(r₂-r₁)/(t₂-t₁)

Here, r₁=4, r₂=8, t₁=5, t₂=10

So, r₂-r₁=8-4=4 and

t₂-t₁=10-5=5

Now, we will convert the time from min to hour by dividing it with 60, we get

t₂-t₁=5/60

Substitute this value in above equation, we get

Ratio=4/(5/60)

Ratio=(4×60)/5

Ratio=4×12

Ratio=48 mm/hr

Hence, the constant of proportionality for the relationship of millimeters of rainwater to time in hours by using the given table is 48 mm/hr.

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A conic section is the set of all points (x, y) in a plane where the difference of the distances from two distinct fixed points is a positive constant. This geometric shape is known as an ellipse.

An ellipse can be defined as the locus of points in a plane such that the sum of the distances from two fixed points, called foci, to any point on the ellipse is constant. The first paragraph provides a concise summary of the answer.

The concept of an ellipse can be understood through its definition and properties. When considering two fixed points, known as foci, in a plane, the set of all points where the difference of the distances from these foci is constant forms an ellipse.

The distance between the foci determines the elongation and shape of the ellipse. If the distance between the foci is larger, the ellipse becomes more elongated, while a smaller distance results in a more circular shape. The constant difference of distances from the foci is known as the major axis of the ellipse, and it represents the longest chord that passes through the center of the ellipse.

The minor axis, perpendicular to the major axis, represents the shortest chord passing through the center. The shape, size, and orientation of an ellipse can be determined by its foci and the distance between them, making it a fundamental concept in mathematics and geometry.

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Answer:

4x

Step-by-step explanation:

Answer:

6*4*2+8+2+2=60

Step-by-step explanation:

6*4=24

24*2=48

48+8=56

56+2=58

58+2=60

lol other person did the multiplication so i did the long way

The arithmetic operation is used to make 60 by the number 2,4,6,8 with operation 6×4×2+8+4=60.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Multiplication, Subtraction, Summation, and division.

As per the given numbers,2,4,6,8

Let's multiply 6 and 4

6 × 4 = 24

Now let's multiply 24 by 2

24 × 2 = 48

So, 6 × 4 × 2 = 48

Now we need to add only 12 to get 60 so, 8 + 4 = 12

So, 6 × 4 × 2 + 8 + 4 = 60

Hence "The arithmetic operation is used to make 60 by the number 2,4,6,8 with operation 6×4×2+8+4=60".

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The GCF of 54p²q³, 90p³q⁴, and 216p⁴q³ is 2 * 3² * p² * q³.Entering the answer in the blank fields:

GCF: 2 * 3² * p² * q³ p exponent: 2  ,q exponent: 3

To find the greatest common factor (GCF) of the given terms, we need to identify the highest power of each common factor.

The prime factors of each term are:

54p²q³ = 2 * 3² * p² * q³

90p³q⁴ = 2 * 3² * 5 * p³ * q⁴

216p⁴q³ = 2³ * 3³ * p⁴ * q³

To find the GCF, we select the lowest exponent for each common factor. The common factors in this case are 2, 3, p, and q.

The lowest exponent for 2 is 1 (from 2³).

The lowest exponent for 3 is 2 (from 3²).

The lowest exponent for p is 2 (from p²).

The lowest exponent for q is 3 (from q³).

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The study described is a randomized controlled trial (RCT). This study design allows the researchers to assess the effectiveness of the new 4-week nutrition education curriculum in improving whole grain consumption among teens by comparing it to the alternative intervention of receiving newsletters.

A randomized controlled trial (RCT) is a type of experimental study where participants are randomly assigned to different groups to receive different interventions or treatments. In this case, the researchers enrolled 40 teens and randomly assigned them to either receive the new 4-week nutrition education curriculum or receive 4 weekly newsletters on incorporating whole grains into their diets.

The key characteristics of an RCT include random assignment of participants to groups, which helps to minimize selection bias and ensure that the groups are comparable at the beginning of the study. Additionally, the study involves comparing the effects of different interventions (the new curriculum versus the newsletters) on the outcome of interest (whole grain consumption). This allows researchers to assess the causal relationship between the intervention and the outcome.

In the described study, the researchers conduct two 24-hour recalls at baseline (before the intervention) and again at the end of the 4-week period. This helps to measure the participants' whole grain consumption and evaluate whether there are differences between the two groups after receiving the respective interventions.

Overall, this study design allows the researchers to assess the effectiveness of the new 4-week nutrition education curriculum in improving whole grain consumption among teens by comparing it to the alternative intervention of receiving newsletters.

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Answer:

A

Step-by-step explanation:

These shapes are not identical, because the angles and sides are mirrored, but much like a mirrored object, they are similar. Another way to explain it is when you look into a mirror what you are seeing is not what people see when they see you with their eyes, it's a REFLECTION!

The correct option is Option A: figure ABCD is similar to A′B′C′D′.

Reflection is the translation of the figure about an axis or point so that the distance of the reflected figure from the axis is the same as the distance of the original figure from the axis.

When a point of coordinate (x,y) is reflected about the y-axis then the coordinate of the reflected point will be (-x,y).

In quadrilateral ABCD the coordinate of A is (2,5) and the coordinate of A' is (-2,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point A' is the reflection of point A.

In quadrilateral ABCD the coordinate of B is (1,2) and the coordinate of B' is (-1,2). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point B' is the reflection of point B.

In quadrilateral ABCD the coordinate of C is (3,1) and the coordinate of C' is (-3,1). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point C' is the reflection of point C.

In quadrilateral ABCD the coordinate of D is (4,5) and the coordinate of D' is (-4,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point D' is the reflection of point D.

So all the points of quadrilateral ABCD are reflected about the y-axis.

As it is a reflection about the y-axis for which the size will not be changed and both the reflected and the original figure will be similar.

Therefore the correct option is Option A: figure ABCD is similar to A′B′C′D′.

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such pair of equation that have only one pair of solutions which satisfy both equation is linear equation

The sine of theta is equal to -1 when the end point of the blue radius in the image has a y-coordinate equal to -1.

The only angle between 0 and 2*pi where the sine is equal to -1 is when theta = 3pi/2:

Therefore the answer is 3pi/2.

Answer:

Minute hand = 3.98 feet

Step-by-step explanation:

Circumference of a circle can be calculated by

C = 2 x pi x radius

The minute hand extends from center to the edge means that minute hand is the radius and that is required.

putting values in above equation

C = 25 and pi = 3.14

25 = 2 x 3.14 x radius

radius = 25 / 6.28

Radius = 3.98 feet

Answer:

The coordinate of M ( 4.5,6.5)

The system of inequalities that represents Irene's constraints is:

c + v ≥ 25 (She needs to make at least 25 dinners) 8.75c + 5.50v ≤ 250.

The problem presents two types of dinners: chicken and vegetarian. Irene needs to make at least 25 dinners, so the total number of dinners must be greater than or equal to 25. The cost of chicken dinners and vegetarian dinners is also given, along with the total budget of $250. These constraints can be translated into mathematical inequalities using variables c and v to represent the number of chicken and vegetarian dinners, respectively.

The first inequality represents the constraint that the total number of dinners must be greater than or equal to 25:

c + v ≥ 25

The second inequality represents the constraint that the cost of the dinners cannot exceed the total budget of $250:

8.75c + 5.50v ≤ 250

Together, these two inequalities form a system of inequalities that represents Irene's constraints. The solution to this system will give the possible values of c and v that satisfy both constraints.

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Answer:

\( \sf \: 375g \: is \: 2.5\% \: of \: 15kg\)

Step-by-step explanation:

Conversion of 15 kg into grams,

→ 1 kg = 1000 g

→ 15 kg = 15000 g

Let's find the percentage,

→ (375g ÷ 15kg) × 100

→ (375/15000) × 100

→ 0.025 × 100

→ 2.5%

Hence, the answer is 2.5%.