the midpoint of chord AB is ( , ), and the slope of chord AB is BLANK

Answer:

\(\Huge \boxed{\£55}\)

________________________________________________________

A 17% reduction means that the dress cost 83% (100 - 17) of the original amount.

\(\large \fbox{\begin{minipage}{8.1 cm}83\% of the original price = \£45.65\\\\$\Rightarrow$1\% of the original price = $\frac{45.65}{83}$\\\\$\Rightarrow$1\% of the original price = 0.55\\\\$\Rightarrow$100\% of the original price = 0.55 \times 100\\\\$\Rightarrow$100\% \text{ of the original price = \£55}\end{minipage}}\)

To work out 83% of the original price, you multiply by 0.83. We can do the inverse, which is dividing by 0.83.

                                 ×0.83

Original Price →→→→→→→→→→→→→ Sale Price

        £?           ←←←←←←←←←←←←←     £45.65

                                ÷0.83

\(\large \boxed{\begin{minipage}{7 cm}Original Price = $\frac{\text{Sale Price}}{0.83}$\\\\$\Rightarrow$Original Price = $\frac{45.65}{0.83}$\\\\$\Rightarrow$Original Price = \£55\end{minipage}}\)

Therefore, the original price of the dress is £55.

________________________________________________________

Yes it is possible to make the prediction about Ramiro's School but not completely.

It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.

With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.

For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.

It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.

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Answer:

1.68 ounces per pint

Step-by-step explanation:

Answer:

\(\frac{3}{5}\)

Step-by-step explanation:

Hey there,

\(\frac{7}{10} -\frac{1}{10}\)

\(\frac{7-1}{10}\)

\(\frac{6}{10}\)

To make the fraction in the simplest form divide both sides by 2

\(\frac{3}{5}\)

Hope this helps you.

Let me if you have any other questions :-)

Total cost in single service crew is greater than double service crew. So, double service crew is cheaper.

We have, a crew of mechanics at the highway department garage repair vehicles. In case of poisson distribution,

λ = 3 vehicles every 12 minutes

= 3×60/12 = 3× 5

λ = 15 vehicles per hour

When time distribution is approximates an exponential distribution,

The mechanic crew can service an average, μ = 3 vehicles every 10 minutes

μ = 3×60/10 = 18 vehicles per hour

Cost for one service crew =$150 per hour

Cost associated with lost productivity from the breakdown or wait cost

=$50 per hour

For single crew, number of vehicles out of cost, Lₛ = 15/(18 - 15) = 15/3 = 5

Single service crew cost = $150 per hour

wait cost = $5×50 = $250 per hour

Total cost = $400 per hour

For double service crew, Number of vehicles out of service cost = 15/(36 - 15)

= 15/21 = 0.7143

Double service crew cost = 2× $150

= $300

Wait cost = $0.7143×50 = $35.715

Total cost = $335.715 per hour

As we see, the double service crew is cheaper.

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A ruler and a pencil will be the most appropriate tool to use in drawing a line segment.

This refers to a part of a line with a defined length and two endpoints and is drawn with the use of a ruler and a pencil.

This is also most appropriate for connecting the points to form a shape to make it neat and required length.

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Answer:

therefore, it would take 93 days to build a similar house with 4 workers.

Step-by-step explanation:

so we well do 12 x 31 = d2 x 4

372 = 4d2

d2 = 93

When we substitute the given function u = ex² - y² into the partial differential equation and evaluate the left-hand side, it does not equal the right-hand side. Hence, u does not satisfy the partial differential equation with the specified f(x, y).

To verify this, we need to compute the second partial derivatives of u with respect to x and y, and then substitute them into the left-hand side of the partial differential equation. If the resulting expression is equal to the right-hand side of the equation, f(x, y), then u satisfies the given partial differential equation.

In the case of u = ex² - y², we compute the second partial derivatives as follows:

∂²u/∂x² = ∂/∂x(e^x² - y²) = 2xex² - 0 = 2xex²,

∂²u/∂y² = ∂/∂y(e^x² - y²) = 0 - 2y = -2y.

Now, we substitute these derivatives into the left-hand side of the equation: a²u/ax² + a²u/ay² = a²(2xex²) + a²(-2y) = 2a²xex² - 2a²y.

Comparing this expression to the right-hand side of the equation, f(x, y) = 4(x² + y²)ex² - y², we see that they are not equal. Therefore, u = ex² - y² does not satisfy the given partial differential equation with the specified f(x, y).

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As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

A polynomial is a mathematical equation that only uses addition, subtraction, multiplication, and non-negative integer exponents and is made up of variables and coefficients. To put it another way, a polynomial is an algebraic expression made up of terms that are sums, products, and/or products of variables and coefficients. The leading coefficient is the coefficient of the term with the highest degree, while the degree of a polynomial is the maximum power of the variable in the expression.

given

(a) We need to determine Q(10), Q'(10), and Q" in order to determine the second degree Taylor polynomial for Q(t) with a center at t=10 (10).

As we are aware, Q(10) = 200. (given in the problem statement).

We must take the derivative of Q(t) with respect to t in order to determine Q'(10):

Q'(t) = -5t + 250

Q'(10) = -5(10) + 250 = 200

We must take the derivative of Q'(t) with respect to t in order to determine Q"(10):

Q''(t) = -5

Q''(10) = -5

The second degree Taylor polynomial can now be calculated using the following formula: P2(t) = Q(10) + Q'(10)(t-10) + (1/2)Q"(10)(t-10)2.

With the numbers we discovered, we can calculate P2(t) as 200 + 200(t-10) + (1/2)(-5)(t-10)2.

\(P2(t) = 200 + 200(t-10) - (5/2)(t-10)^2\)

(b) We must assess the second degree Taylor polynomial at t=12 in order to determine how much oil is in the lake at that time.

P2(12) = 210 gallons because P2(12) = 200 + 200(12-10) - (5/2)(12-10)2. (rounded to the nearest gallon)

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

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m^2 is always positive or zero, we must have m = 0 for the inequality to hold true. However, since the interval should not include zero (as m=0 results in a trivial equation), the range of values for m is an empty set: ∅.

The range of values for m if the differential equation md2xdt2+3dxdt+7x=0 is overdamped is (-∞, 49/4].
If the given differential equation is overdamped, the discriminant of its characteristic equation must be greater than zero. The characteristic equation is given by:

m^2 * r^2 + 3m * r + 7 = 0

The discriminant, Δ, is calculated as:

Δ = (3m)^2 - 4 * m^2 * 7

To ensure overdamping, we must have Δ > 0:

(3m)^2 - 4 * m^2 * 7 > 0

Simplifying the inequality:

9m^2 - 28m^2 > 0

-19m^2 > 0

Since m^2 is always positive or zero, we must have m = 0 for the inequality to hold true. However, since the interval should not include zero (as m=0 results in a trivial equation), the range of values for m is an empty set: ∅.

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Answer:

40 bagels

Step-by-step explanation:

Let us assume that the cost of each bagel is $1.25

We need to find how many bagels she can buy for $50.

Let she can buy x bagels.

\(1.25\times x=50\\\\x=\dfrac{50}{1.25}\\\\x=40\)

Hence, she can buy 40 bagels for $50.

Answer:

1/2

Step-by-step explanation:

1/4 + x = 3/4

x = 3/4 - 1/4

x = 2/4 = 1/2

The solution for the equation given are -

x = -4.324

x = 0.324

Equation is defined as a relation that equates two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. A quadratic equation is of the form -

ax² + bx + c = 0.

Given is the quadratic equation as -

5x² + 20x - 7 = 0

Plot the graph and mark the x - intercepts. These will be the solution for the equation given. We get -

x = -4.324

x = 0.324

Therefore, the solution for the equation given are -

x = -4.324

x = 0.324

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The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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Answer:

c = 1.29x + 2

c= cost

x= song

cost= 39.7

Step-by-step explanation:

1.29×30=38.7

38.7+2=19.7

Answer:

3.here,tan45°=10/n

or,1=10/n

:.n=10

Now from Pythagoras theorem,

m²=(10)²+n²

or,m=√100+100

:.m=10√2

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The area of the trapezoid is 13 meters.

The area of a trapezoid is calculated by taking the sum of the two bases and multiplying that by the height, then dividing that by two. In this case, the sum of the two bases is 4 meters + 2.5 meters = 6.5 meters. Multiplying this by the height of 4 meters gives us a result of 26 meters. Finally, we divide that by two to get the final area of 13 meters.

To calculate the area of a trapezoid, you first need to calculate the sum of its two bases. The two bases are the bottom and the top lengths of the trapezoid, which in this case are 4 meters and 2.5 meters respectively. Once you have the sum of the two bases, you can then multiply that sum by the height of the trapezoid, which in this case is 4 meters. This will give you the total area of the trapezoid. Lastly, you divide this total area by two to get the final area.

In summary, to calculate the area of a trapezoid with a base length of 4 meters and 2.5 meters, and a height of 4 meters, you need to first calculate the sum of its two bases, which in this case is 6.5 meters. Multiply this by the height of 4 meters to get the total area of 26 meters. Finally, divide this by two to get the final area of the trapezoid, which is 13 meters.

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100 days should it sample so that the margin of error will be 39.1 tons or less

What is margin error?

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

The margin of error can be stated as

ME = SE⋅cv where cv = z.90 because this corresponds to a two tail test so we need the z value at 90%.

We can now use a look up table to find the corresponding z value to use which should be 1.96

Now

SE = σ/√n  leading to

39.1 = (197/√n)⋅(1.96).

Now we just need to solve for n

√n = (197/39.1)⋅(1.96) = 10

n = 10^2

n = 100

So, we probably need to sample for about 100 days if we want be within that margin of error.

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The forecasting method that is appropriate when the time series has no significant trend, cyclical, or seasonal effect is moving averages.

Using past data as inputs, forecasting is a process that produces accurate predictions of the future course of trends. Businesses use forecasting to decide how to spend their budgets and make plans for forthcoming costs. Typically, this is based on the anticipated demand for the provided goods and services. Forecasting is a tool used by investors to predict if certain events, such sales projections, would raise or lower the price of a company's stock. For businesses that require a long-term view on operations, forecasting also offers an essential benchmark.

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Answer:

19. 8 years

Step-by-step explanation:

Using the exponential growth function :

A = Pe^rt

A = final amount or growth unit

P = initial or present growth unit

Rate, r = growth rate

80 = 20e^0.07t

80/20 = e^0.07t

4 = e^0.07t

Take In of both sides

In(4) = 0.07t

1.3862943 = 0.07t

t = 19.804205

t = 19. 8 years

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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In order to find 5a-3b, lets find 5a. This is given by

Similarly, -3b is given by

Then, by substituting our results into the expression 5a-3b, we get

This can can be done by adding entry by entry, that is

Therefore, the answer is

Answer:C is the answer

Step-by-step explanation:

Answer:

14m + 5

Step-by-step explanation:

Answer:

14m+5

Step-by-step explanation

combining like terms when you add

11m + 3m

and

1 + 4

Answer:

1. 2

2. 3

3. 7

4. 2

5. 30

6. 18

Step-by-step explanation:

The null hypothesis states that the proportion of students majoring in nursing is less than or equal to 30%, while the alternative hypothesis suggests that the proportion is greater than 30%

The correct set of hypotheses for testing the newspaper's claim about the proportion of students majoring in nursing would be as follows:

Null hypothesis (H0): The proportion of students majoring in nursing is less than or equal to 30%.

Alternative hypothesis (H1): The proportion of students majoring in nursing is greater than 30%.

In symbolic notation, it can be represented as:

H0: p ≤ 0.30

H1: p > 0.30

Where "p" represents the population proportion of students majoring in nursing. The null hypothesis assumes that the proportion is equal to or less than 30%, while the alternative hypothesis suggests that the proportion is greater than 30%.

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Answer:

y=0

Step-by-step explanation:

-2(4+3y)=-2(4+y)

-8-6y=-8-2y

+8     +8

-6y=-2y

+2y +2y

-4y=0

-4y/-4=0/-4

y=0

A "probability sample" is a sample in which every element in the population has a known statistical likelihood of being selected.

Probability sampling is a methodology in which the researcher selects samples from a broader population using a probability theory-based method. A participant must be chosen at random in order to be used as a probability sample.

Some key features regarding probability sampling are-

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