what is r + 3/4 = 7/8

Answer:

  9.45 ounces

Step-by-step explanation:

The formal definition of the standard deviation of a population is that it is the square root of the mean of the squares of the differences between the data values and their mean.

The calculation can be done more simply as the root of the difference between the mean of the squares and the square of the mean. That is the calculation shown in the attachment.

The population standard deviation is about 9.45 ounces.

_____

Additional comment

The easier way to do the calculation is to use the calculator or spreadsheet function that gives the result directly. For the Desmos calculator shown, that function is stdevp(w) for the definition of w that we used. The function has the same name in many spreadsheet programs.

The answer of the given question based on the Voltage drop the answer is , the voltage dropped across R3 is 277.11 V.

Ohm's law is  fundamental principle in electrical engineering and physics that describes  relationship between voltage, current, and resistance in  electrical circuit. It states that current through conductor between two points is directly proportional to voltage across  two points, and inversely proportional to resistance between them.

To determine the voltage dropped across R3, we need to use Ohm's law and Kirchhoff's circuit laws. First, we can calculate the total resistance in the circuit:

Rtotal = R1 + R2 || R3

R2 || R3 = (R2 * R3) / (R2 + R3) (parallel resistance formula)

Rtotal = R1 + (R2 || R3)

Rtotal = 152 + ((18 * 362) / (18 + 362))

Rtotal = 149.89 Ω (rounded to 2 decimal places)

Next, we can use Ohm's law to calculate the current flowing through the circuit:

I = ET / Rtotal

I = 120 / 149.89

I = 0.8004 A (rounded to 4 decimal places)

Finally, we can use Kirchhoff's voltage law to determine the voltage dropped across R3:

ET = IR1 + IR2 || IR3 + IR3

ET = I(R1 + R2 || R3) + IR3

ET - I(R1 + R2 || R3) = IR3

R3 = (ET - I(R1 + R2 || R3)) / I

R3 = (120 - (0.8004 * (152 + ((18 * 362) / (18 + 362))))) / 0.8004

R3 = 277.11 V (rounded to 2 decimal places)

Therefore, the voltage dropped across R3 is 277.11 V.

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Answer:

433.4

Step-by-step explanation:

Height will be (14/2)/tan36 which is 9.63, then area for one triangle is 1/2*hb which is .5*9.63*7 is 43.34, times 10 you get 433.4

The domain and codomain of the function f(n) = n^2 + 1 are both the set of integers. The range of the function is all positive integers (including zero).

To find the domain, codomain, and range of the function f(n) = n^2 + 1:

1. Domain: The domain is the set of all possible input values for the function. In this case, since the function is defined for "the set of integers," the domain is the set of all integers.

2. Codomain: The codomain is the set of all possible output values for the function. In this case, the function is defined as f(n) = n^2 + 1, where n is an integer. Therefore, the codomain is also the set of integers.

3. Range: The range is the set of all actual output values that the function produces for the given inputs. To find the range, we can substitute various integer values for n and observe the corresponding outputs. Since the function is defined as f(n) = n^2 + 1, the smallest possible output value is 1 (when n = 0), and there is no upper limit for the output. Hence, the range is all positive integers (including zero).

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Answer:

parallel

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

If you graph these on a graph the beginning part is the same however the second part (the 2 and 30) are different which would just show how far to space the lines because those are  the y-intercept and the fraction part is the slope

Answer:

13

Step-by-step explanation:

They now have 31 computers after receiving 18 so we can subtract 18 from 31 to get 13.

31 - 18 = 13

Answer:

Pippa

Step-by-step explanation:

A square has

A rhombus has  

Thus, we can identify the shape by comparing the slopes of the adjacent sides.

1. Draw the shape

See the graph below

2. Calculate the slope of AB

m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-1))/(9 - 5) = (4 + 1)/4 = 5/4

3. Calculate the slope of BC

If BC⟂AP, its slope should be -4/5 .

m = (y₂ - y₁)/(x₂ - x₁) = (1 - 4)/(15 - 9) =-3/6 = -1/2

½ ≠ -⅘

The two lines are not perpendicular.

Pippa is right. The shape is a rhombus.

Answer:

Step-by-step explanation:

You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.

Collecting terms, we have ...

  (8 +4)x +(-3 +3) = 180

  12x + 0 = 180

Dividing by the coefficient of x gives ...

  x = 180/12 = 15

The value of x is 15.

Answer:

42 minutes

Step-by-step explanation:

12:00 to 12:09 is 9 minutes, plus 11:27 to 12:00 is 33 minutes, making a total of 42 minutes.

The volume of the figure is a. 30 \(km^{3}\)

Pyramid is a three-dimensional shape with the base of a polygon along with three or more triangle-shaped faces that meet at a point above the base.

How to determine this

The volume of a pyramid = 1/3 * Length * Width * Height

Where Length = 6 km

Width = 5 km

Height = 3 km

Volume of the figure = 1/3 * 6 km * 5 km * 3 km

Volume = 1/3 * 90 \(km^{3}\)

Volume = 90/3

Volume = 30 \(km^{3}\)

Therefore, the volume of the figure is 30 \(km^{3}\)

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The volume of the rectangular pyramid, that has a rectangular base, and a height of 3 km is 30 km^3. The correct option is therefore;

30 km^3

A rectangular pyramid is a pyramid with a rectangular base.

The volume of a pyramid is; (1/3) × Base area × Height

The dimensions of the rectangular base of the rectangle are;

Length = 6 km, width = 5 km

Therefore;

The base area = 6 km × 5 km = 30 km²

The height of the pyramid from the question = 3 km

Therefore, the volume of the pyramid = (1/3) × (30 km²) × 3 km = 30 km³

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Answer:

x = 70.71

Step-by-step explanation:

log 2x² + 2 = 6.

log 2x² + log 100= log 10⁶.

2x² × 100 = 10⁶

2x² = 10⁶/100

2x² = 10⁴

x² = 10⁴/2

x² = 5000

x = √5000

x is approximately 70.71

x = 70.71

The equation that shows the relationship between the angles in the triangle is m∠1 + m∠2 + m∠3 = 180.

The equation that shows the relationship between the angles in the triangle is determined as follows;

The sum of angles in a triangle is equal to 180 degrees.

So based on this information, the equation that shows the relationship between the angles in the triangle is formulated as;

angle 1 + angle 2 + angle 3 = 180

We can re-write the equation as follows;

m∠1 + m∠2 + m∠3 = 180

Thus, the equation that shows the relationship between the angles in the triangle is the sum of angle 1 plus angle 2 plus angle 3.

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Answer:

239.36

Step-by-step explanation:

you do the 8 precent times 4 years =32 precent

then you calculate 32 % out of the 748 $  and the answer is 239.36 dollar

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Given:

The two functions are:

\(P(x)=x^2-x-6\)

\(Q(x)=x-3\)

To find:

The function \(P(x)-Q(x)\).

Solution:

We need to find the function \(P(x)-Q(x)\).

\(P(x)-Q(x)=(x^2-x-6)-(x-3)\)

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

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

\(P(x)-Q(x)=x^2-2x-3\)

Therefore, the correct option is C.

Zero divided by any real number is equal to zero.

Answer:

B.  p - 200

Step-by-step explanation:

Start with the original price, p.

When the price is reduced by $200, you are taking away $200 from the price, so you need to subtract $200 from the original price, p.

Answer:  B.  p - 200

The probability that 0.2 < X < 0.5 and 0.4 < Y < 0.6 is 0.236.

The joint cumulative distribution function of the two random variables is 0.5

The marginal densities is 0.583.

An expression for f1(x|y) for 0 < y < 1 is f(x,y)/fY(y).

Let's consider an example where we have two random variables X and Y, with a joint density function of f(x, y) = (6/5)(x+y²) for 0 < x < 1 and 0 < y < 1, and 0 elsewhere. The first question asks us to find the probability that 0.2 < X < 0.5 and 0.4 < Y < 0.6. To do this, we need to integrate the joint density function over the given range of values:

P(0.2 < X < 0.5 and 0.4 < Y < 0.6) = ∫∫f(x,y)dxdy over the region 0.2 < x < 0.5 and 0.4 < y < 0.6.

By evaluating this integral, we find that the probability is approximately 0.236.

Next, we are asked to find the joint cumulative distribution function (CDF) of the two random variables. The joint CDF is defined as the probability that X is less than or equal to some value x and Y is less than or equal to some value y:

F(x,y) = P(X ≤ x, Y ≤ y)

To find this function, we integrate the joint density function over the region of integration from -∞ to x and -∞ to y, respectively:

F(x,y) = ∫∫f(u,v)dudv over the region -∞ < u < x and -∞ < v < y.

Using this approach, we can verify the value obtained for the probability in the previous question.

Moving on, we need to find the marginal densities of X and Y, which describe the probability distribution of each variable individually. To find the marginal density of X, we integrate the joint density function over all possible values of Y:

fX(x) = ∫f(x,y)dy over the range 0 < x < 1.

Similarly, to find the marginal density of Y, we integrate the joint density function over all possible values of X:

fY(y) = ∫f(x,y)dx over the range 0 < y < 1.

Using these marginal densities, we can find the probabilities that X > 0.8 and Y < 0.5 by integrating the respective marginal density functions over the given ranges of values.

Finally, we are asked to find the conditional density of X given Y=y and the mean of the conditional density of X when Y=0.5. The conditional density of X given Y=y, denoted by f1(x|y), describes the probability distribution of X when the value of Y is fixed at y. To find this function, we divide the joint density function by the marginal density of Y evaluated at y:

f1(x|y) = f(x,y)/fY(y).

To find the mean of the conditional density of X when Y=0.5, we integrate x times the conditional density function over all possible values of X:

E(X|Y=0.5) = ∫xf1(x|0.5)dx over the range 0 < x < 1.

Finding the expression for f1(x|0.5) is relatively straightforward. We substitute y=0.5 into the joint density function and divide by the marginal density of Y evaluated at y=0.5:

f1(x|0.5) = f(x,0.5)/fY(0.5) = (6/5)(x + 0.5²)/(∫f(x,0.5)dx over the range 0 < x < 1).

To evaluate the mean of the conditional density of X when Y=0.5, we need to integrate x times the conditional density function over the range of X values:

E(X|Y=0.5) = ∫xf1(x|0.5)dx over the range 0 < x < 1.

By performing this integration, we find that the mean of the conditional density of X when Y=0.5 is approximately 0.583.

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Answer:

6 year's old

Step-by-step explanation:

Grandma is G and Robin is R

G=7R

G+12=3(R+12)

G+12=3R+36

7R+12=3R+36

7R-3R=36-12

4R=24

R=6

Robin is 6 years old

Robin is 6 years old.

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Let 'a' be the current age of Robin and 'b' be the age of his grandmother.

Robin's grandmother is 7 times older than him.

We write this in equation form,

⇒ b = 7 × a                          .........................(i)

After 12 years, the age of Robin = 12 + a and the age of his grandmother would be 12 + b.

In 12 years, she will be 3 times as old as him.

We write this in equation form,

⇒ (12 + b) = 3 × (12 + a)

⇒ 12 + b = 36 + 3a

⇒ 3a - b = -24                           ....................(ii)

Substitute b = 7a in above equation.

⇒ 3a - (7a) = -24

⇒ -4a = -24

⇒ a = 6 years

Substitute this value of a in equation (i),

⇒ b = 6 × 7

⇒ b = 42 years

Therefore, Robin is 6 years old.

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The value of x is 8 in this case.

In a rectangle, opposite angles are congruent. Therefore, we can set up an equation to find the value of x by equating the measures of the given angles.

Given:

∠NJM = 2x - 3

∠KJM = x + 5

Since JKMN is a rectangle, ∠NJM and ∠KJM are opposite angles and thus congruent. Therefore, we can write the equation:

2x - 3 = x + 5

Now we can solve this equation to find the value of x.

Subtract x from both sides:

2x - x - 3 = x - x + 5

Simplifying the left side:

x - 3 = 5

Add 3 to both sides:

x - 3 + 3 = 5 + 3

Simplifying the left side:

x = 8

So, x is equal to 8.

Therefore, the value of x is 8 in this case.

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Answer:

\(\displaystyle m=\frac{1}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 40)

Point (20, 50)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

The given differential equation y x²y² = x² is a nonlinear and not separable differential equation, which corresponds to option (D).

A linear differential equation can be written in the form dy/dx + P(x)y = Q(x), where P(x) and Q(x) are functions of x. In this equation, the term x²y² makes it nonlinear.

A separable differential equation can be written in the form g(y)dy = f(x)dx, where g(y) and f(x) are functions of y and x, respectively. However, in the given equation, we cannot separate the variables y and x to obtain such a form.

To solve this particular differential equation, one approach is to rewrite it in a more manageable form. Let's rearrange the terms:

x² = y/(x²y²)

Now, we can multiply both sides by (x²y²) to eliminate the denominator:

x²(x²y²) = y

This equation is still nonlinear but can be used to find a particular solution for y given a specific initial condition.

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Given data:

The given expression is -5m + 9 + 2m - 4​.

The given expression can be written as,

Thus, the given expression can be written as -3m+5.