Substitute teachers with Lexington School District get paid by the day, although subs with teaching credentials earn a different amount than subs without credentials. Yesterday, 3 non-credentialed subs and 2 credentialed subs taught in the district. That cost the district $368. Today, 11 non-credentialed subs and 7 credentialed subs taught, receiving $1,316 from the district. How much do subs get paid?

The margin of error for the 95% confidence interval is given as follows:

M = $321.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 86 - 1 = 85 df, is t = 1.9883.

The parameters are given as follows:

\(\overline{x} = 3600, s = 1500, n = 86\)

Hence the margin of error is obtained as follows:

\(M = t\frac{s}{\sqrt{n}}\)

\(M = 1.9833 \times \frac{1500}{\sqrt{86}}\)

M = $321.

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The simplification of the expression 3y(2) are 6y or 3y^2

The expression 3y(2) is ambiguous and can be interpreted in two ways depending on the intended meaning.

If the expression is intended to mean "3 times the product of y and 2", then the correct answer is 6y, which can be obtained by applying the distributive property of multiplication:

3y(2) = 3y x 2 = 6y

On the other hand, if the expression is intended to mean "3 times y squared", then the correct answer is 3y^2

3y(2) = 3y^2

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Answer:

a₅₀ = 250

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = a₂ - a₁ = 10 - 5 = 5 , then

a₅₀ = 5 + (49 × 5) = 5 + 245 = 250

The quadratic equation is  3x² - 27.

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

Given:

The roots are 3 and -3

We have

α= 3   and β=-3

So,

α+β = -b/a  and αβ = c/a

α+β = 0 =-b/a and  αβ= -9 = c/a

Comparing from above

a=1, b= 0 and c=-9

Also, the leading coefficient is 3.

Then the quadratic equation is,

= 3(ax² + bx + c)

= 3( x² +0x- 9)

Hence, the quadratic equation is 3x² - 27.

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Note that the equation that represents this situation is 25x - 150 = 50 (Option A).

In this equation, x represents the number of lawns Jacqueline mowed during the first week.

The left side of the equation, 25x, represents the total amount of money Jacqueline earned from mowing x lawns at a rate of $25 per lawn.

The right side of the equation, 150 + 50, represents the total cost of supplies and gas ($150) deducted from her earnings, leaving her with a profit of $50.

Thus, it is correct to state that Option A is the right answer.

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Full Question:

Although part of your question is missing, you might be referring to this full question: See attached image.

A model of a dinosaur skeleton was made using a scale of 1 ft : 10 ft in a museum. If the size of the dinosaur's tail in the model is 4 ft, then find its actual length. 1 ft : 10 ft 4 ft : x x = 4ft x 10ft / 1 ft = 40 ft2 / ft = 40 ft ∴ The dinosaur's tail is actually 40 ft long. 8.

Arithmetic operations consists primarily of operations such as addition, subtraction, multiplication, and division. So the option A is correct.

The process of adding things together is known as addition. The '+' sign represents the addition process. It entails combining two or more numbers into a single expression.

The difference between two numbers is calculated using the subtraction operation. The '-' sign represents subtraction. It is nearly identical to addition, but it is the conjugate of the second term.

Multiplication is also referred to as repeated addition. It is indicated by " or '*'. It can also be combined with two or more values to produce a single value.

Division is the inverse of multiplication and is usually denoted by ". It is made up of two terms, dividend and divisor, and the dividend is divided by the divisor to yield a single term value.

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The probability that you are right is 0%.

Alice draws a 2-card hand from a standard 52-card deck, which means there are only four aces in the deck. On the other hand, Bob rolls two dice, each with six sides, so there are only two ways to roll two aces: rolling a double 1 or rolling a double 6. These events are much less likely compared to Alice drawing two aces from the deck.

Given that the game show host tells you that the mystery person obtained two aces, the only possible explanation is that it must be Alice. Bob simply does not have a high enough probability of rolling two aces to be considered as the mystery person in this scenario.

In summary, because Bob's chances of rolling two aces are significantly lower than Alice's chances of drawing two aces, the probability of you being right by guessing Bob is 0%.

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Answer:

Answer:

x < 18

Step-by-step explanation:

3/4 of 24 is 18

So, they had to win less than 3/4 of them, so if x is matches won, it has to be:

x < 18.

Answer:

60

Step-by-step explanation

Solution

We are given

Distance = 5/2 miles

Time = 1/4 hours

Answer:

The speed would \(10~\text{mph}\).

Step-by-step explanation:

Step 1: State the formulas required

The formula for speed is:

\(\text{Speed}=\frac{\text{Distance}}{\text{Time}}\)

Step 2: Substitute the values into the formula

The distance is \(\frac{5}{2}~\text{miles}\) and the time is \(\frac{1}{4}~\text{hours}\).

Substitute these values into the formula:

\(\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\\)

Step 3: Calculate

\(\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\div {\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\times 4\\\\\text{Speed}={\frac{20}{2}}\\\\\text{Speed}=10\)

So, the speed is  \(10~\text{miles per hour}\)  or  \(10~\text{mph}\).

Answer:

Make me brainliest for good luck

Step-by-step explanation:

The statement (d) is always true: argz = Argz + 2πk, where k = 0, ±1, ±2, ... , if z ≠ 0.

The argument of a non-zero complex number z, denoted as argz, represents the angle between the positive real axis and the line connecting the origin to the point representing z in the complex plane. The principal value of the argument, denoted as Argz, is the value of argz that lies within the range (-π, π]. The statement (d) asserts that any argument of z can be obtained by adding a multiple of 2π to the principal value. This is true because adding 2π to the principal value results in rotating the complex number z by a full circle in the complex plane, which does not change its argument. Adding further multiples of 2π repeats the rotation, again preserving the argument. Therefore, (d) holds for all non-zero complex numbers.

The other statements (a), (b), and (c) are not always true.

(a) Argz1z2 = Argz1 + Argz2 is not always true when z1 and z2 are non-zero complex numbers. The principal values of Argz1 and Argz2 lie within the range (-π, π], and their sum may exceed this range. Therefore, the equality does not hold in general.

(b) Argz bar = -Argz is not always true when z is not a real number. The complex conjugate of a non-real complex number z, denoted as zbar, has the same magnitude but the opposite argument. The principal value of the argument changes sign under conjugation, but the equality -Argz = Argz bar does not hold for all non-real complex numbers.

(c) Arg(z1/z2) = Argz1 - Argz2 is not always true when z1 and z2 are non-zero complex numbers. The argument of a complex division is obtained by subtracting the argument of the denominator from the argument of the numerator. However, the principal values of Argz1 and Argz2 lie within the range (-π, π], and their difference may exceed this range. Therefore, the equality does not hold in general.

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Answer:

7×6.3 answer will be is 44.1

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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The best answer would be 213.

Assuming that the sign denotes summation, we are adding from k=4 to k=9.

To get, we change k=4 to k=9.

We simplify obtaining,

To simplify means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

Summarizing mainly entails entering the values k=4, 5, 6, 7, 8, and 9 into the formula section 5K+3 and adding them all together.

So, the result is:

(5(4)+3)+(5(5) + 3) + (5(6) + 3) + (5(7) +3) + (5(8) + 3) + (5(9) + 3) 23+28+33 +38+43 + 48

= 213

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Answer:x=5 and x=-5

Step-by-step explanation:

B. the proportion of the variation of the dependent variable explained by the independent variable. R^2, also known as the coefficient of determination, measures the goodness of fit of a regression model.

It represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. In other words, R^2 indicates how well the independent variable(s) account for the observed variation in the dependent variable. The correct answer, choice B, states that R^2 represents the proportion of the variation of the dependent variable explained by the independent variable.

It quantifies the strength of the relationship between the independent and dependent variables and provides an assessment of how well the regression model fits the observed data. A higher R^2 value indicates a better fit, as it indicates that a larger proportion of the variation in the dependent variable can be attributed to the independent variable(s).

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Answer:

Formula: Y=mx+b...

Step-by-step explanation:

Y=mx+b

Answer: Y=1x

Answer:

18.76%

Step-by-step explanation:

effective interest rate = ( 1 + periodic interest rate)^m - 1

m = number of compounding = 365

Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471

(1 + 0.000471) ^365 - 1 = 18.76%

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

4th one

Step-by-step explanation:

it is the 4th one

Total value of all coins together is $2.7

Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.

1 Nickel = $0.05 and 1 quarter = $0.25.

Let number of nickels and number of quarter be x.

According to the situation

x.(0.25) = $1.80 + x.($0.05)

x(0.25 - 0.05) = $1.80

x (0.2) = $1.80

x = $1.80/0.2

x = 9 coins

Therefore total value of the currency is 9(0.05 + $0.25) = 9 (0.3) = $2.7

Thus total value of all coins together is $2.7.

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Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

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Answer:

123

Step-by-step explanation:

\(180 - 57 = 123\)

The solution is, the value of m∠6 is 123, i.e. A- 123 °.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the given figure we get,

angle 1 is equal to angle 5

as they are corresponding angles,

so, m∠1 =57° = m∠5

now, we have,

that the sum of 5 & 6 is 180

so, they are supplementary angles.

i.e. m∠6 = 180 - m∠5

             =180 - 57

             =123

Hence, The solution is, the value of m∠6 is 123, i.e. A- 123 °.

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Question contains answer itself let's see how

x+y=-2

2x+y=1

See we are already given these two graphs .

The intersection point of both lines is the solution.

That's