The two-way table represents data from a survey asking teachers whether they teach English, math, or both.

Answer:

\(\sin E=\dfrac{4}{5}\)

Step-by-step explanation:

To find the value of sin E we can use the sine trigonometric ratio.

\(\boxed{\begin{minipage}{9 cm}\underline{Sine trigonometric ratio} \\\\$\sf \sin(\theta)=\dfrac{O}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

From inspection of the given right triangle:

Substitute these values into the sine ratio:

\(\sin E=\dfrac{4}{5}\)

Answer:

8x-6

12x-9-4x+3

Step-by-step explanation:

12x-4x-9+3

=8x-6

Answer:

\( \sf \: 8x - 6 \)

Step-by-step explanation:

Given expression,

→ 12x - 9 - 4x + 3

Let's simplify the expression,

→ 12x - 9 - 4x + 3

→ (12x - 4x) + (-9 + 3)

→ (8x) + (-6)

→ 8x - 6

Hence, the answer is 8x - 6.

The sum of 5/6 and 2/9 is: C. 1 1/18.

The sum of 1/2 and 2/3 is 7/6.

The fraction of the boys that have either blue or hazel eyes is: B. 1/2.

The sum of 7/10 and 1/4 is: D. 19/20.

The sum of 3/5 and 1/5 is 11/10.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

Based on the information provided above, each of the sums can be calculated as follows;

Fraction = 5/6 + 2/9

Fraction = (15 + 4)/18

Fraction = 19/18 = 1 1/18.

Fraction = 1/2 + 2/3

Fraction = (3 + 4)/6

Fraction = 7/6

Fraction = 1/5 + 3/10

Fraction = (2 + 3)/10

Fraction = 1/2

Fraction = 1/4 + 7/10

Fraction = (5 + 14)/20

Fraction = 19/20

Fraction = 3/5 + 1/2

Fraction = (6 + 5)/10

Fraction = 11/10

Read more on fraction here: brainly.com/question/29367657

#SPJ1

Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

Answer:

The total time taken by 3 men to trim the hedge would be 80 minutes.

Step-by-step explanation:

1) The time taken by 4 men to trim the hedge is 1 hour or 60 min.

2) One me would take 4 times more time alone i.e. Time taken by only one man would be 4 hours or 240 min.

3) The time taken by 3 men would be 3 times less than time taken by one man i.e. 240/3=80 min.

#of people = 4

time taken for 4 ppl = 1hr / 60mins  

# of people = 3

time taken = 1/x

4 - 1/60

3 - 1/x

cross multiply

x=60/3*4

x=80

hope this helps :)

mark me brainliest :D

The equation that describes the proportional relationship is:y = 15x

To find the constant of proportionality (k) and write an equation that describes the proportional relationship using the given point (3, 45), we can use the formula for a proportional relationship:

y = kx

where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

Using the given point (3, 45), we can substitute the values into the equation:

45 = k * 3

Now, we can solve for k by dividing both sides of the equation by 3:

45/3 = k * 3/3

15 = k

So, the constant of proportionality (k) is 15.

The equation that describes the proportional relationship is:

y = 15x

Learn more about statistics here:

https://brainly.com/question/15525560

#SPJ11

We need to find the general solution of the above PDE. Let's solve the above PDE by the method of characteristic. Let us first solve the PDE by using the method of characteristics.

The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations. To use this method, we first need to find the characteristic curves of the given PDE. Thus, the characteristic curves are given by $x = t + c_1$.

Now, we need to eliminate $t$ from the above equations in order to obtain the general solution. By eliminating $t$, we get the general solution as:$$u(x,y) = f(2x - 3y) + 3(x - 2y)$$ where $f$ is an arbitrary function of one variable. Hence, the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$ is given by the above equation. Thus, the main answer to the given question is $u(x,y) = f(2x - 3y) + 3(x - 2y)$. In order to find the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$, we first used the method of characteristics. The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations.

To know more about solution visit:

https://brainly.com/question/1616939

#SPJ11

(C)

Given data:

The given inequalities.

The graph of the given inequalities is shown below.

The variable y takes the value -7 when we have x = -3.

Here we have the linear equation:

y = x - 4

We want to find the value of x such that y = -7, to get that, we only need to replace the variable y by the number -7 in the linear equation above:

-7 = x - 4

Now we can solve the linear equation for x.

-7 = x - 4

-7 + 4 = x

-3 = x

That is the solution.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time

What is used to periodically check that a process is in statistical control?

a. sampling

b. scrap parts

c. the process is only measured in the beginning 100 percent inspection.

a. Sampling is used to periodically check that a process is in statistical control.

Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time. SPC involves collecting and analyzing data on the process, and using statistical methods to determine whether the process is in statistical control (i.e., producing consistent and predictable results) or is out of control (i.e., producing inconsistent or unpredictable results).

One way to monitor a process using SPC is to use sampling. This involves taking a sample of parts or products from the process at regular intervals, and measuring certain characteristics of the sample (such as dimensions, weight, or color). The data collected from the samples can then be analyzed using statistical methods to determine whether the process is in control or out of control.

If the data collected from the samples indicates that the process is out of control (i.e., producing inconsistent or unpredictable results), corrective action can be taken to bring the process back into control. By regularly monitoring and adjusting the process using SPC techniques like sampling, organizations can ensure that their processes are producing consistent and high-quality results.

Learn more about "Statistical process control (SPC)" :

https://brainly.com/question/14703158

#SPJ11

The net annual percentage growth rate of the city population is 0.4%

To calculate the net annual percentage growth rate of a population, we can use the following formula:

Net Annual Percentage Growth Rate = ((Births + Immigrants) - (Deaths + Emigrants)) / Initial Population x 100%

Plugging in the given values, we get:

Net Annual Percentage Growth Rate =\(((100 + 10) - (40 + 30)) / 10,000 x 100%\)

Net Annual Percentage Growth Rate = \((40 / 10,000) x 100%\)

Net Annual Percentage Growth Rate =\(0.4%\)

The net annual percentage growth rate of the city population is 0.4%

for such more questions on growth rate

https://brainly.com/question/25630111

#SPJ11

Answer:

n= 3

Step-by-step explanation:

3 (4 + n) = n + 18

you take 3x4=12

then 3x3=9 then you add 12 and 9 which would be in the ( )

12+9 = 21

then if you replace n =3 on other side and add it to 18 answer is 21

therefore both sides would equal 21 so n=3

3(4+3)=3+18

21=21

if the correlation between x and y is equal to -1.0, then we know that the prediction of y by x is perfect

The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.

The correlation coefficient, r , gives us information about the strength and direction of a linear relationship between any two variables. (r > 0 is a positive correlation, r < 0 is negative, and |r| closer to 1 means a stronger correlation.

The larger r is in absolute value, the stronger the relationship is between the two variables.

If r is the correlation between two variables x and y then -r is the correlation between y and x

learn more about of correlation here

https://brainly.com/question/9436626

#SPJ4

(A)  The annual effective rate of interest equivalent to a constant force of interest of 11% is approximately 11.600%. (B) The nominal rate of interest compounded semiannually approximately 5.600%. (C) The nominal rate of discount compounded quarterly is approximately 10.400%.

(A) To find the annual effective rate of interest equivalent to a constant force of interest of 11%, we can use the formula:

Effective interest rate = e^(force of interest) - 1

Applying this formula:

Effective interest rate = \(e^(0.11) - 1\)

Effective interest rate ≈ 0.116

Rounded to 3 decimal places, the annual effective rate of interest equivalent to a constant force of interest of 11% is approximately 11.600%.

(B) To find the nominal rate of interest compounded semiannually equivalent to a constant force of interest of 5.5%, we can use the formula:

Nominal interest rate = 2 * \([(e^(force of interest / 2) - 1)]\)

Applying this formula:

Nominal interest rate = 2 *\([(e^(0.055) - 1)]\)

Nominal interest rate ≈ 0.056

Rounded to 3 decimal places, the nominal rate of interest compounded semiannually equivalent to a constant force of interest of 5.5% is approximately 5.600%.

(C) To find the nominal rate of discount compounded quarterly equivalent to a constant force of interest of 10.2%, we can use the formula:

Nominal discount rate = 4 *[(1 - e^(-force of interest / 4))]

Applying this formula:

Nominal discount rate = 4 * \([(1 - e^(-0.102 / 4))]\)

Nominal discount rate ≈ 0.104

Rounded to 3 decimal places, the nominal rate of discount compounded quarterly equivalent to a constant force of interest of 10.2% is approximately 10.400%.

Learn more about nominal rate here:

https://brainly.com/question/31580933

#SPJ11

A quotient of a number and -1.5 is 21 hence it is 21 = - 1.5D and D = - 14.

An expression is a mathematical way of writing variables and constants separated by the operation of addition and subtraction. Unlike equations in expressions, we do not equate the terms to zero.

We know N = DQ + R.

Where N = The number itself, D = Divisor, Q = Quotient and,

R = Remainder.

Given, A quotient of a number and -1.5 is 21.

Let the number be D.

∴ 21 = - 1.5D

D = - 21/1.5.

D = - 14.

learn more about expression here :

https://brainly.com/question/14083225

#SPJ1

Answer:

B=27 degree angle

Answer:

Attached, \(p \geq 4\)

To solve, you must isolate the variable. It means moving the variable and it's coefficient to the other side of the equation by itself.

If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same. That is how you solve for it.

However, if you divide or multiply by a negative number by both sides in an inequality, you must flip the sign.

For example:

> to <

to

Divide -4 on both sides.

\(\frac{-16}{-4} \geq \frac{-4p}{-4}\)

\(4 \geq p\)

Flip the sign.

\(4\leq p\)

\(p\geq 4\)

When the line is pointing right, it means the variable is greater than the said number. If the dot is filled in, it means greater than or equal to or less than or equal to. If it is not filled in, it means greater than or less then.

The answer is:

4 ≤ p

Work/explanation:

The inequality is:

\(\sf{-16\geqslant-4p}\)

To solve, divide each side by -4. Since we're dividing by a negative number, we will reverse the inequality sign.

We end up with:

\(\sf{4\leqslant p}\)

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

Answer:

a quarter of a kilogram is just over half a pound in Imperial measurements. 1 kg is 2.2 How many lbs are there in 4.2 kg? 1,502 Views  Which is smaller out of 2/-3 and -3/4? 4,328 Views 1/4 kg = 16 x .55125= 8.82 ounces. 31 views.

BRAINLIEST PLS

Step-by-step explanation:

The expressions that represent the derivative of the function y = f(x) are:

- dy/dx

- f'(x)

- lim(h→0) [f(x+h) - f(x)]/h

- lim(h→0) [f(x) - f(x-h)]/h

So, the correct options are:

- dy/dx

- f'(x)

- lim(h→0) [f(x+h) - f(x)]/h

- lim(h→0) [f(x) - f(x-h)]/h

Option (C) and option (D) are the same expressions, just with a different notation.

To learn more about function   refer below

https://brainly.com/question/14002287

#SPJ11

Answer:

1/12 of a kilogram

the answer is 138, because you divide first then add and then multiply.

Answer:

138 (if the exponent 3 in strictly on the 5)

5832 (if the exponent 3 in on the whole problem)

Step-by-step explanation:

We will solve as follows:

*Area of the rectangle:

*Area of the triangle:

*Area of the figure:

The wavelength with only frequency can be calculated by using the equation, λ = c / f

Frequency refers to how many times a wave oscillates or cycles per second

The wavelength is defined as the distance between two identical points on the wave

The relationship between frequency (f) and wavelength (λ) is given by the following equation:

λ = c / f

where c is the speed of light in a vacuum, which is approximately 3.00 x 10^8 meters per second.

Therefore, to find the wavelength of a wave given its frequency, simply divide the speed of light by the frequency.

Learn more about wavelength here

brainly.com/question/3148541

#SPJ4

Answer:

77 miles

Step-by-step explanation:

Make a diagram like in the attached image.

Solve using the Pythagorean theorem:

\(44^2 + 63^2 = d^2\)

\(1936 + 3969 = d^2\)

\(d^2 = 5905\)

\(\sqrt{d^2} = \sqrt{5905}\)

\(d = \sqrt{5905}\)

d ≈ 77 miles

The rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

We know that,

The Base is growing at the rate of 1 cm per sec.

Height is growing at the rate of 2 cm per sec.

Area of triangle: 1/2 × b × h

The rate of change will be:

1/2 × b × h

1/2 × 4/1 × 7/2

28/4

7 cm per sec

Therefore, the rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.

Know more about the rate of change here:

https://brainly.com/question/8728504

#SPJ4

Answer:

since triangle AED similar to ACB

CE=19cm mid point bisect it

BD=32Cm mid point bisect it

Step-by-step explanation:

BC=2DE=2×39=78Cm

The area and circumference of a circle with radius 25 cm are as follows; Area: We know that the formula to calculate the area of a circle is πr² where π is equal to 3.14159.

Here, the radius of the circle is 25 cm. So, putting these values in the formula, we get;

A = πr²A

= π x 25²A

= 3.14159 x 625A

= 1962.5 cm²

So, the area of the circle is 1962.5 cm².Circumference:

We know that the formula to calculate the circumference of a circle is 2πr where π is equal to 3.14159. Here, the radius of the circle is 25 cm.

So, putting these values in the formula, we get;

C = 2πrC

= 2 x 3.14159 x 25C

= 157.079633 cm

So, the circumference of the circle is 157.079633 cm (rounded to the nearest hundredth).

To know more about area and circumference visit:

https://brainly.com/question/17130827

#SPJ11