29п
Convert the angle
15
Express your answer exactly.
0 =
O
Show Calculator
=
radians to degrees.

Answer:

It's D: 2/5

Step-by-step explanation:

Parallel lines have the same slope.

The standard deviation of the sample is approximately 9.15

To find the standard deviation of the sample, we first need to calculate the sample mean. The sample mean is the sum of all the data points divided by the total number of data points. In this case, we are given the frequency distribution of the costs per load of 34 dish-washing detergents.

To calculate the sample mean, we multiply each class midpoint by its corresponding frequency, sum up these products, and divide by the total number of data points (34 in this case).

The class midpoint for each class interval can be calculated by adding the lower class limit to the upper class limit and dividing by 2. For example, the class midpoint for the interval 20-28 is (20 + 28) / 2 = 24.

Using this information, we can calculate the sample mean:

(24 * 13 + 33 * 15 + 42 * 4 + 51 * 2) / 34 = 32.44

Next, we need to calculate the squared deviation of each data point from the sample mean. The squared deviation is obtained by subtracting the sample mean from each data point and squaring the result.

For each class interval, we can calculate the squared deviation by subtracting the class midpoint from the sample mean, squaring the result, and multiplying by the frequency.

The sum of these squared deviations is then divided by the total number of data points minus 1 (n-1) to obtain the variance.

Using the given data, the variance is calculated as follows:

((24 - 32.44)^2 * 13 + (33 - 32.44)^2 * 15 + (42 - 32.44)^2 * 4 + (51 - 32.44)^2 * 2) / (34 - 1) = 83.6

Finally, to find the standard deviation, we take the square root of the variance:

√(83.6) ≈ 9.15

For more such questions on standard deviation

https://brainly.com/question/24298037

#SPJ8

Answer:

rational

Step-by-step explanation:

ans

a) Rational

Hope this helps you...

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

The price the school district pays for each typewriter is $106.56.

A quantity discount is the discount given for bulk purchases. It reduces the purchase price of a good or service.

Total purchase price of the typewriters before the discount = (50 x 129.95) = 6,497.50

Total purchase price of the typewriters after the discount = (100 - 18) x 6,497.50

= $5,327.95

Purchase price of one typewriter = $5,327.95 / 50 = $106.56

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

The graph of the piecewise function is the one in option D-

First, we know that:

f(x) = 4  when x ≤ 3

So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).

From the given graphs, the only one with that form is D.

Learn more about piecewise functions at:

https://brainly.com/question/3628123

#SPJ1

Answer:

I think the amswer is C not 100% shere

Step-by-step explanation:

Answer: <A and <F

Step-by-step explanation: Verticle angles are angles that are on opposite sides of each other therefore having the same angle.

Answer:

what percent of 2300 is 1265 is the question , sooo  divide 1265 by 2300. why?  b/c 2300 is the total.. so that goes in the denominator and 1256 is our give number so that goes in the numerator of the fraction of those numbers to give us their ratio   :)  or  percentage.. if you understand that.. you're on a good road.  

Step-by-step explanation:

1265 / 2300 = .55   or  55%  :)  a bit more than 1/2 of the people .. which makes total sense  b/c 1/2 of 2300 is 1150 right?  so 50% of 2300 is 1150

55%  :) is the answer

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

x = 6

Step-by-step explanation:

First, we need to cross multiply on both sides, which gives us:

9 * (5x - 6) = 27 * (2 + x)

45x - 54 = 54 + 27x

Now, we want to isolate x on either side.

We can substract 54 from both sides:

(45x - 54 = 54 + 27x) - 54

45x - 108 = 27x

We then subtract 45 from both sides:

(45x - 108 = 27x) - 45

-108 = -18x

Finally, we divide both sides by -18:

(-108 = -18x) / -18

6 = x

let

Carissa age = x

Andrea age = 3 + x

In 5 years time

x +5 + (5 + 3 + x) = 69

x + 5 + 8 + x = 69

2x = 69 - 13

2x = 56

x = 56/2

x = 28

Andrea's age = 3 + 28 = 31 years

Answer: the 3rd one, 11x^3-6x^2+5x

Step-by-step explanation:

Answer:

Step-by-step explanation:

C.  11x^3 - 6x^2 + 5x

The powers of x are listed from greatest to least

Answer:

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

Step-by-step explanation:

I hope this helps!

The equilibrium price is $12.

Equilibrium is the point where the quantity demanded is equal to the quantity supplied. The price at equilibrium is known as the equilibrium price and the quantity at equilibrium is known as the equilibrium quantity.

When shown on a graph, equilibrium is the point where the quantity demanded curve is equal to the quantity supplied curve.

When there is equilibrium, the equation of quantity demanded would be equal to the equation of quantity supplied.

-280 + 40p = 800  - 50p

In order to determine the value of p, take the following steps:

Combine similar terms: 800 + 280 = 40p + 50p

Add similar terms = 1080 = 90p

Divide both sides of the equation by 90 : 1080 / 90 = 12

To learn more about equilibrium, please check: https://brainly.com/question/26075805

#SPJ1

Algebraic equations are equations that have coefficients and unknown variables in them.

The equation that you can use to find the amount "v" Festive features normally charges for a vest is: 12(v - 6) = 132

The current cost per vest was v - $6

Where v = Initial cost of the vest

The total cost of 12 vests after price reduction was:

$132.

Hence, our equation is given as:

$132 = 12(v - $6)

12(v - 6) = 132

$132 = 12v - 72

Add 72 to both sides

$132 + 72 = 12V

204 = 12v

v = 204/12

v = $17

Thus: The amount  v, Festive Features normally charges for a vest is $17

Therefore, the equation to find the amount Festive Features normally charges for a vest is 12(v - 6) = 132

To learn more, visit the link below:

https://brainly.com/question/24993449

Answer: $1200

Step-by-step explanation:

Use proportions:

540/45 = x/100

Cross multiply:

45x = 54000

Simplify:

45x = 54000

/45     /45

--------------------

x = 1200

Step-by-step explanation:

this is your answer...,..

Answer:

$450000*0.015=$6750

Step-by-step explanation:

1.5% as a decimal is 0.015

You then multiply the sale amount by the decimal to get $6750

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

Read more about Differential Equation at: https://brainly.com/question/28099315

#SPJ1

Answer:

9^7

Step-by-step explanation:

Multiple the two 3's and get 9 then when you multiply exponents you add them and get 7

Answer:

B. -5/12

Step-by-step explanation:

Answer:

B.5/12

Step-by-step explanations:

Answer:

f^-1(x) = \(\sqrt[3]{(x + 4)/3}\)

Step-by-step explanation:

y = 3x^3 - 4  ==> solve for x

y + 4 = 3x^3  ==> isolate x by adding 4 on both sides

(y + 4)/3 = x^3  ==> divide 3 into both sides

x = \(\sqrt[3]{(y + 4)/3}\) ==> isolate x by taking the cube root on both sides

y = \(\sqrt[3]{(x + 4)/3}\) ==> switch both x and y

f^-1(x) = \(\sqrt[3]{(x + 4)/3}\)

Tan(x/2) = (1 + cosx)/sinx is equivalent to the trigonometric identity cscx

An equation is an expression that can be used to show the relationship between variables and numbers.

Trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent.

It is given as:

tanФ = sinФ/cosФ, cotФ = 1/tanФ = cosФ/sinФ, cosecФ = 1/sinФ and secФ = 1/cosФ

According to half angle formula:

tan(x/2) = (1 + cosx)/sinx

Hence:

tan(x/2) + cotx = [(1 - cosx)/sinx] + (cosx/sinx)

tan(x/2) + cotx = (1 - cosx + cosx)/sinx

= 1/sinx

= cscx

Therefore tan(x/2) = (1 + cosx)/sinx is equivalent to cscx

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.

Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

To learn more about the volume visit:

brainly.com/question/24372707

#SPJ1

The value of x is equal to -1.

Exterior angle is an measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended. Also, due to polygon being regular, let it be having 'n' sides, all the exterior angles are of same measure, and therefore, their measure is (360/n)°.

Given that Transversal s intersects parallel lines and m.

mZ1 = (6x +11), and m42 = (4x +9).

Required theValue of x

Thus, z1 and <2 are alternate exterior angles. Alternate exterior angles are congruent.

Therefore:

(6x +11), = (4x +9). (substitution)

Solve for x;

6x - 4x = 9 -11

2x = -2

x = -1

Learn more about interior and exterior angles here:

https://brainly.com/question/14173422

#SPJ1

Answer:

0.0908 \(m^{2}\) (to 3 S.F.)

Step-by-step explanation:

Area = π\(r^{2}\)

π * \(17^{2}\) = 907.92

= 908 \(cm^{2}\)

=0.0908 \(m^{2}\)