elly and drew work together to collect data to estimate the percentage of their classmates who own a particular brand of shoe. using the same data, elly will construct a 90 percent confidence interval and drew will construct a 99 percent confidence interval. which of the following statements is true?

It's difficult to say whether the conditions for constructing a t-confidence interval are met based on the information provided. To construct a t-confidence interval, three conditions must be met:

The sampling method must be random. It's not specified in the problem whether the method of selecting the vehicles was random or not, so it's impossible to say whether this condition is met.

The sample size must be large enough. A sample size of 100 vehicles is considered to be large enough for the normal/large sample condition to be met.

The population must be approximately normally distributed or the sample size must be large. Since the problem does not specify anything about the distribution of the population, it is not clear if this condition is met.

Given that the information provided does not give enough details to state whether the conditions for constructing a t-confidence interval are met or not.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

12

Step-by-step explanation:

\( \frac{4}{3} = \frac{x}{9} \\ \\ \implies \: 3x = 4 \times 9 \\ \\ \implies \: 3x =36 \\ \\ \implies \: x = \frac{36}{3} \\ \\ \implies \: x =12\)

Answer:

12

Step-by-step explanation:

or;4/3=X/9

or;3x=4×9

or;3x=36

or;X=36/3

Therefore;X=12

Answer:

\((-1)(x+3)(x-2)\)

Step-by-step explanation:

Factoring

We are given a trinomial:

\(-x^2-x+6\)

The following steps are done to factor the trinomial.

1. Confirm there are no common factors: No common factors (given)

2. Factor out -1:

Multiply all the terms by -1 and take -1 out:

\(\boxed{(-1)(x^2+x-6)}\)

3. Factor

\(x^2+x-6 = (x+p)(x+q)\)

We have to find two numbers p and q whose product is -6 and the sum is 1. Those numbers are 3 and -2 (in any order):

Factoring:

\(x^2+x-6 = (x+3)(x-2)\)

The final factoring is:

\(\boxed{(-1)(x+3)(x-2)}\)

The required marks solution of the given system of equations is incorrect.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
Mark made a solution to determine the common solution for the equation x + y ≤ 10 and 2x+3y = 24.

Since Mark's calculation is wrong he must have solved the equaiton by making the inequality an equaiton as x + y = 10 and solved it by any of the methods with another equation 2x + 3y =24. Where we would get (6,4) as a common solution between the two lines.

Thus, the required marks solution of the given system of equations is incorrect.

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The single simplified fraction is (m + n)(p + m) / 2m.

To simplify the expression

\((3m^2 - 3n^2) / (m^2 + mp)÷ (6m - 6n) / (p + m)\)

we need to invert the second fraction and multiply by the first.

\((3m^2 - 3n^2) / (m^2 + mp) \times (p + m) / (6m - 6n)\)

We can then factor out a 3 from the numerator and the denominator, and cancel out the (m - n) terms. 3(m + n)(m - n) / 3m(m - n) x (p + m) / 6(m - n)

Simplifying further, we can cancel out the 3's and the (m - n) terms. (m + n) / m x (p + m) / 2

The simplified expression is (m + n)(p + m) / 2m.

To simplify the given expression, we invert the second fraction and multiply it by the first. Then we factor out common terms and cancel out like terms. We simplify the expression to obtain the single fraction (m + n)(p + m) / 2m.

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Answer:

$9

Step-by-step explanation:

Cost per bottle of Lemonade = $0.30

Let b represent the number of bottles that you sell which is given as:

30 bottles

Equation for solving

= 0.30 × b

= 0.30b

Hence,

Total cost for 30 bottles of Lemonade is:

0.30 × 30

= $9

Hence, you can make $9 from selling 39 bottles of Lemonade.

The highest score for the given distribution is 25.

This is because the distribution is divided into ranges, with the first range being 20-25, the second range being 15-19, the third range being 10-14, and the fourth range being 5-9.

The highest score in each range is the number on the right side of the dash.

Therefore, the highest score in the first range is 25, the highest score in the second range is 19, the highest score in the third range is 14, and the highest score in the fourth range is 9.

Since 25 is the highest score among all of the ranges, it is the highest score for the entire distribution.

The correct answer is c) 25.

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Answer:

Therefore, the solution to the inequality 2x + 1 ≤ 7 is x ≤ 3.

Step-by-step explanation:

To solve the inequality 2x + 1 ≤ 7, we need to isolate the variable x on one side of the inequality sign.

First, we'll subtract 1 from both sides of the inequality:

2x + 1 - 1 ≤ 7 - 1

This simplifies to:

2x ≤ 6

Next, we'll divide both sides by 2:

2x/2 ≤ 6/2

This simplifies to:

x ≤ 3

Answer:

Step-by-step explanation:

1. ..............................................

2...............................................

3 . ..............................................

4. ..............................................

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

1)

\(6(y+7)=2(y-3)\\6y+42=2y-6\\4y+42=-6\\4y=-48\\y=-12\)

2)

\(3x+2(x-5)=25\\3x+2x-10=25\\5x-10=25\\5x=35\\x=7\)

3)

\(10q+3q+5=2(q-3)\\13q+5=2q-6\\11q+5=-6\\11q=-11\\q=-1\)

4)

\(\frac{1}{3} (x+6)=\frac{2}{3} (x-9)\\\frac{1}{3} x+2=\frac{2}{3} x-6\\2=\frac{1}{3}x -6\\8=\frac{1}{3} x\\x=24\)

Answer:

l = 14 , w = 12

Step-by-step explanation:

2l + 2w = 52 → (1)

l - w = 2 → (2)

multiplying (2) by 2 and adding to (1) will eliminate the w- term

2l - 2w = 4 → (3)

add (1) and (3) term by term to eliminate w

4l + 0 = 56

4l = 56 ( divide both sides by 4 )

l = 14

substitute l  14 into either of the 2 equations and solve for w

substituting into (1)

2(14) + 2w = 52

28 + 2w = 52 ( subtract 28 from both sides )

2w = 24 ( divide both sides by 2 )

w = 12

Solution

Given

Radius = 8cm, area = 125.6 square centimeters, pie =3.14

angle =?

Answer:

40%

Step-by-step explanation:

Hello :D

So, Ethan has raised 60% of 100%. You have to do:

100% - 60% = 40%

Ethan needs to raise 40%.

The length of the unknown side of this right angled triangle is 12cm.

This is a question about the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The theorem can be written as c^2 = a^2 + b^2, where c is the hypotenuse, and a and b are the other two sides.

In this case, we know that the base of the triangle is 8cm and the length is 9cm.

So we can use the formula c = √(a^2 + b^2)

c = √(8^2 + 9^2)

c = √(64 + 81)

c = √(145)

c = 12cm

Therefore, the length of the unknown side of this right angled triangle is 12cm.

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The length of the chord of the larger circle can be found by taking the square root  \((5r)^2 - (2r)^2\) which is equal to r√21, where r is the radius of the smaller circle.

The given problem states that there are two concentric circles with radii in the ratio of 3:5. This means that the radius of the smaller circle is 3r and the radius of the larger circle is 5r. The distance between the center of these two circles is 2r.

Also, it is given that the length of the chord of the larger circle that is tangent to the smaller circle is 40 cm. Using this information, we can find the length of the chord of the larger circle by using the Pythagorean theorem.

The length of the chord of the larger circle is found by taking the square root of \((the radius of the larger circle)^2\) - \((the distance between the two centers)^2\) which is √21\(r^2\)= r√21.

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Answer: It would be 29.01

The payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

Loan amount = $7942, Monthy pay = $175, Interest rate = 17.11%

After calculating from the payment formula:

The payoff =  6.13 years = 73.56 months

Thus, the payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

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Answer:

33

Step-by-step explanation:

275*12 /100 =33

have a nice day!!

Answer:

33 love

Step-by-step explanation:

In a Linear Programming problem, the objective function line is moved in the direction that reduces cost.

Linear Programming (LP) is an operation research approach used to determine the best outcomes, such as optimum profit, minimum cost, or maximum yield, given a set of constraints represented as linear relationships. Linear programming's fundamental idea is to find the best value of a linear objective function that takes into account a variety of constraints that are linear inequalities or equations. The goal of the constraints is to restrict the values of the decision variables. A linear programming problem consists of a linear objective function and linear inequality constraints, as well as decision variables. In a Linear Programming problem, we try to maximize or minimize a linear objective function, which represents our target. This objective function is expressed as a linear equation consisting of decision variables, each of which has a coefficient. Linear programming's ultimate goal is to find values of the decision variables that maximize or minimize the objective function while still satisfying the system of constraints we're working with. In this case, the objective function line is moved in the direction that reduces cost, which means we are minimizing the cost. We do this by moving the objective function line down towards the minimum point. This is the point where the objective function has the smallest possible value that meets all of the constraints.

Thus, in a Linear Programming problem, the objective function line is moved in the direction that reduces cost.

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Answer:

C

Step-by-step explanation:

Something that is 17 more than r means that it is r + 17.

Therefore, the answer is C, r + 17.

Hope that helps!

-Sabrina

Answer:

25% Or

1/4 Or

0.25

Step-by-step explanation:

Solve:

200 divided by 50 is 4

Check your math:

50*4= 200

Your only counting a single piece of this whole. This can be written in 3 ways, 25%, 1/4, or 0.25.

Hope this helps!

Answer:50%

Step-by-step explanation: total no. of band players=200

no. of brass players=50

% of brass players=50/200 x 100

Based on the given information, we have the mean concentration of sodium in the drinking water of a water system in Connecticut as 26.4 mg/l and the standard deviation as 6 mg/l.

The water department selects a simple random sample of 32 water specimens over the course of a year. To answer the question using the distributions tool, we need to set the mean and standard deviation parameters on the tool to the expected mean and standard error for the distribution of sample mean concentrations.

The expected mean for the distribution of sample mean concentrations is the same as the mean concentration of sodium in the drinking water, which is 26.4 mg/l.

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The water department in Connecticut is monitoring the concentration of sodium in their drinking water. By calculating the mean and standard error for the distribution of sample means, they can determine the probability of the mean concentration exceeding the notification level of 28 mg/l. If this probability is low, the water department will notify the public and recommend necessary actions.

In this scenario, the water department in Connecticut wants to monitor the concentration of sodium in their drinking water. They have set a notification level of 28 mg/l, meaning that if the mean concentration of sodium across a sample of 32 water specimens exceeds this level, they will notify the public.

To analyze this situation, we can use the distribution of sample means. The mean concentration of sodium in the drinking water of the water system is given as 26.4 mg/l, with a standard deviation of 6 mg/l.

To find the expected mean and standard error for the distribution of sample means, we can use the following formulas:

Expected mean of sample means = population mean

                                                        = 26.4 mg/l
Standard error of sample means = population standard deviation / square root of sample size

Using the given values, the standard error of sample means can be calculated as follows:
Standard error of sample means = 6 mg/l / square root of 32

                                                      ≈ 1.06 mg/l

Now, we can use a distributions tool to find the probability that the mean concentration of sodium in the sample of 32 water specimens exceeds 28 mg/l. We will set the mean parameter on the tool to 26.4 mg/l and the standard deviation parameter to 1.06 mg/l.

By entering these values into the distributions tool, we can find the probability of obtaining a mean concentration greater than 28 mg/l. If this probability is less than a certain threshold (e.g., 0.05), it indicates that the mean concentration exceeding 28 mg/l is unlikely to occur by chance alone. In such cases, the water department would notify the public and recommend that individuals on sodium-restricted diets inform their physicians of the sodium content in their drinking water.

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\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)

Answer:

y=mx+b

Step-by-step explanation:

A system of linear inequalities that the graph represent include the following:

x ≥ 4.

y < -x - 2

y ≥ 3x + 3

y > x - 4

In Mathematics, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

At data points (-3, 0) and (0, 3), the slope of this line can be calculated as follows;

Slope = (3 - 0)/(0 + 3) = 3/3 = 1

y-intercept = 3.

Therefore, a linear inequality that models the line is given by:

y ≥ 3x + 3

At data points (-2, 0) and (0, -2), the slope of this line can be calculated as follows;

Slope = (-2 - 0)/(0 + 2) = -2/2 = -1

y-intercept = -2.

Therefore, a linear inequality that models the line is given by:

y < -x - 2

At data points (4, 0) and (0, -4), the slope of this line can be calculated as follows;

Slope = (-4 - 0)/(0 - 4) = -4/-4 = 1

y-intercept = -4.

Therefore, a linear inequality that models the line is given by:

y > x - 4

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Answer:

if i am sure it is one i could be wrong bc 9 over 9 is 1 and then it to the third power is 1

Step-by-step explanation:

Answer:

The correct answer to (9/9)^3 = 1

Hope this helps and have a great day :)

And please mark me brainliest if you can :)

The names of the three angles are:

∠ABC = acute angle

∠FGH = right angle

∠QRS = obtuse angle

We have,

From the figure given,

The angles must be either right angles, acute angles, or obtuse angle.

Acute Angle: An acute angle is an angle that measures less than 90 degrees. It is smaller than a right angle.

Obtuse Angle: An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. It is larger than a right angle.

Right Angle: A right angle is an angle that measures exactly 90 degrees. It forms a perfect "L" shape and is typically denoted by a square corner symbol (∟).

Now,

The angle is less than 90 degrees.

∠ABC = acute angle

The angle is 90 degrees.

∠FGH = right angle

The angle is greater than 90 degrees.

∠QRS = obtuse angle

Thus,

The names of the three angles are:

∠ABC = acute angle

∠FGH = right angle

∠QRS = obtuse angle

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Answer:

The function f has an inverse because it is one-to-one.

Step-by-step explanation:

The condition for a function to have an inverse is that every x coordinate maps to a single y - coordinate. As illustrated by the diagram attached in the second picture, every x value maps to one y value therefore satisfying the condition making the function have an inverse.