Plot stem and leaf and a histogram of this data:
Weight of students in class in lbs.: 120, 135, 100, 145, 160,
180, 190, 200, 120, 210, 180, 137, 180, 125
2. Describe the shape of this data.

Total time(arithmetic) taken by app to show nearest charging port will be 30 seconds.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division.

Main body:

As the driving directions algorithm requires searching through many possible routes to calculate the optimal route. the other operations, like incrementing the index and comparing the distances, take only a few nanoseconds.

Hence total time will be 30 seconds.

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The sequence of file folders exhibits a pattern in the number of green folders at each step. Let's define G(n) as the model for the number of green folders at step n.

When observing the sequence of file folders, we can notice that the number of green folders at each step follows a specific pattern. Let's analyze this pattern and formulate a model, G(n), to represent the number of green folders at step n.

In the initial step, let's say n = 1, there are no green folders present. As we progress to the next step, n = 2, a single green folder is introduced. At step n = 3, we can observe that two green folders are added. Further examining the pattern, we find that at each subsequent step, the number of green folders is increasing by one compared to the previous step.

Based on this observation, we can formulate the model G(n) = n - 1, which represents the number of green folders at each step n. By subtracting 1 from the step number, we obtain the corresponding count of green folders. This model accurately predicts the number of green folders at each step in the sequence of file folders, providing a concise and consistent representation of the pattern.

In conclusion, the model G(n) = n - 1 serves as an effective representation of the pattern in the sequence of file folders, describing the number of green folders at each step. By applying this model, we can easily determine the count of green folders for any given step in the sequence, allowing for efficient analysis and prediction.

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Answer:

Please see attached picture for full solution.

The value of x in the given equation  \(3\sqrt[6]{x} +7=10\) is 1.

Two or more expressions with an Equal sign is called as Equation.

The given equation is \(3\sqrt[6]{x} +7=10\)

In the given equation x is the variable and plus is the operator.

Subtract 7 from both the sides to eliminate 7 in the left side and to isolate the variable x.

\(3\sqrt[6]{x} =10-7\)

When seven is subtracted from 10 we get 3.

\(3\sqrt[6]{x} =3\)

Divide both sides by 3

\(\sqrt[6]{x} =1\)

x³=1

Take cube root on both sides

x=1

the value of x in the given equation  \(3\sqrt[6]{x} +7=10\) is 1.

Hence, the value of x in the given equation  \(3\sqrt[6]{x} +7=10\) is 1.

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Answer:

Step-by-step explanation:

so add the 5  3 times the answer is for this is 15

The expression  \(2ab+c^2\) represents the area of the figure as the sum of the area of the shaded triangles and the area of the white square.

the equivalent expression  \(a^2+b^2+2ab\)use the length of the figure to represent the area

\(2ab+c^2=a^2+b^2+2ab\\subtract \; 2ab \; from \; both \; sides\\c^2=a^2+b^2\)

Given :

Figure of a square with some shaded triangles.

Area of the triangle formula is 1/2 times base times height

base =a and height =a

Area of one triangle =\(\frac{1}{2} ab\)

There are 4 shaded triangles

Area of 4 shaded triangles =\(4 \cdot \frac{1}{2} ab=2ab\)

Area of the square = side times side

Area of the white square with side 'c' =\(c \cdot c= c^2\)

The expression  \(2ab+c^2\) represents the area of the figure as the sum of the area of the shaded triangles and the area of the white square.

Now we find the area of outer square . side length is a+b

Area of outside square =\((a+b)(a+b)=(a+b)^2=a^2+b^2+2ab\)

the equivalent expression  \(a^2+b^2+2ab\)use the length of the figure to represent the area

Now set both the areas equal to each other

\(2ab+c^2=a^2+b^2+2ab\\subtract \; 2ab \; from \; both \; sides\\c^2=a^2+b^2\)

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Answer:

The expression   represents the area of the figure as the sum of the area of the shaded triangles and the area of the white square.

the equivalent expression  use the length of the figure to represent the area

Given :

Figure of a square with some shaded triangles.

Area of the triangle formula is 1/2 times base times height

base =a and height =a

Area of one triangle =

There are 4 shaded triangles

Area of 4 shaded triangles =

Area of the square = side times side

Area of the white square with side 'c' =

The expression   represents the area of the figure as the sum of the area of the shaded triangles and the area of the white square.

Now we find the area of outer square . side length is a+b

Area of outside square =

the equivalent expression  use the length of the figure to represent the area

Now set both the areas equal to each other

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the volume of a right circular cylinder is:

V = πr²h

where "r" is the radius of the base, "h" is the height, and π is the mathematical constant pi (approximately 3.14).

Substituting the given values, we get:

V = π(5)²(6)

V = 150π cubic inches

Since we are asked to give the volume in cubic inches and not in terms of pi, we can approximate π as 3.14 to get:

V ≈ 150(3.14) ≈ 471

Therefore, the volume of the cylinder is approximately 471 cubic inches, which is closest to option (d) 150.

Answer:

Congruent triangles are exact same triangles, but they might be placed at different positions. The corresponding congruent part for each segment or angle can be arranged as shown below.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

(|AB| denotes the length of line segment AB, and so on for others).

Given the two triangles, ΔDFC and △SNP are congruent to each other, DFC≅△SNP. Therefore, we can write,

Step-by-step explanation:

Step-by-step explanation:

For RIGHT trianges

sin Φ = opposite leg / hypotenuse

for THIS triangle

sin m =  6 sqrt(2) / 9   = 2/3  sqrt (2)    <=======exact value

                                   = .9428    <======four decimal value

Answer:

Step-by-step explanation:

Tips = 20% of 47.60

       = (20/100) * 47.60

       = 0.20 * 47.60

Total bill = 47.60 + (0.2)*(47.60)

Answer:

the answer is 47.60 + (0.2)*(47.60)

Answer:

\( \sqrt{i} \)

Step-by-step explanation:

i = -1

This is a complex number

in here we take -1 = i

The derivative of the function 4 / x - 1 / y = 3 is equal to y' = 4 / (4 - 3 · x)².

In this problem we must use two differentiation methods in a function to obtain its first derivative. These methods are (i) explicit differentiation and (ii) implicit differentiation. Each procedure is described below:

Explicit differentation

Implicit differentiation

Explicit differentiation

Step 1

4 / x - 1 / y = 3

1 / y = 4 / x - 3

1 / y = (4 - 3 · x) / x

y = x / (4 - 3 · x)

Step 2

y' = [(4 - 3 · x) - x · (- 3)] / (4 - 3 · x)²

Step 3

y' = 4 / (4 - 3 · x)²

Implicit differentiation

Step 1

- 4 / x² + [1 / (y²)] · y' = 0

Step 2

(1 / y²) · y' = 4 / x²

Step 3

y' = 4 · y² / x²

Step 4

y' = 4 · [x / (4 - 3 · x)]² / x²

y' = 4 / (4 - 3 · x)²

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Hi

When you have a system of equation, you generally have two unknowned value.  

The trick is to express one letter as equal of something in the second letter.

We have two lines :  

(1) :  y = -5x-1

(2) :  4x-7y = 7

Here  he job is  half done as  we have already  "y" express in " x"  with line (1)  so  :   y = -5x-1  

So I can rewrite line (2)  as this  :   4x-7y = 7

                                                         as y = -5x-1 so :

                                                          4x-7y = 7  become :

                                                           4x - 7 ( -5x-1) = 7

                                                           4x-7 * (-5x) - 7* (-1) = 7

                                                            4x +35x +7 = 7

                                                             4x +35x +7 -7 = 7-7

                                                             39x = 0

                                                                  39x/39 = 0 /39

                                                                      x = 0

So if X = 0  then we have in line (1)  we have by replacing  "x" by it's value :    y = -5x-1

y = -5*0 -1  

y =  -1

Dont hesitate to ask in comments if it's still not clear.

To complete the addition expression −0.25+(−0.75) is an arrow pointing from -0.25 to -1.

Given: The line diagram and an addition expression: -0.25 + (-0.75)

What is an addition expression?

An addition expression is a combination of two or more numbers or characters with the binary operator of addition that is '+'.

As addition is a binary operation, so there should be a minimum of 2 operands.

What is a line diagram?

A line diagram shows the number line that has the initial point 0 at the center and number right to 0 are positive real numbers and numbers left to 0 are negative real numbers.

What is the significance of the arrow sign over the number line?

The arrow sign shows that after adding a certain quantity the former value decreases or increases that is it can either approach in the negative side or in the positive side. It can help us to plot directional graphs and help us to better understand how can adding a certain quantity change the behavior of the entire expression.

Let's solve the given question.

From the addition expression we can see that the first operand is -0.25.

-0.75 is then added to -0.25.

As -0.75 is less than 0 so adding -0.75 to -0.25 will make the entire expression smaller that is -1. -1 is smaller than each individual operand.

So, initial point of the arrow will be on point -0.25

now -0.25 + -0.75 = -1

The final point where the arrow head will point to is -1

Therefore, as we can understand the function is linearly decreasing so we are pointing the arrow to the left side that is conventionally the negative side. So it will be starting from the initial point at -0.25 and will gradually decrease to -0.75 amount and will finally turn the expression fall to the value of -1.

Hence, the answer will be an arrow pointing from -0.25 to -1

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Answer:

1) 0

2) -1

Step-by-step explanation:

x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on

The region in the plane for points with polar coordinates 2 < r < 3 and 5π/3 ≤ θ ≤ 7π/3.


Identify the range of r and θ: In this case, 2 < r < 3 and 5π/3 ≤ θ ≤ 7π/3. Draw the polar coordinate plane (with an origin, labeled "O") and radial lines representing the angles θ.Mark the angle 5π/3 on the plane, which is located in the fourth quadrant (5π/3 = 300°). Draw a radial line from the origin to represent this angle.

Mark the angle 7π/3 on the plane, which is also located in the fourth quadrant (7π/3 = 420°, but since 360° brings us back to the origin, it is equivalent to 60°). Draw a radial line from the origin to represent this angle.Draw two concentric circles around the origin with radii 2 and 3. These represent the range of r values.

Shade the region in the plane that is bounded by the radial lines, as well as the circles with radii 2 and 3. This is the region consisting of points whose polar coordinates satisfy the given conditions.

Your sketch should now show the region in the plane for points with polar coordinates 2 < r < 3 and 5π/3 ≤ θ ≤ 7π/3.

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The minimum sample size for the given event to have a normal approximation has to be 13 people.

For normal approximation,

np or n(1-p) should be greater than 10

where,

n = the sample size

p = probability for the occurrence of the event

Here, 20% of ohio residents support the legalization of marijuana

p = 20% or, 2/10

Hence,

1 - p = 1 - 2/10

= 8/10

Therefore, for normal approximation to be used

either n X 2/10 > 10    or,      n X 8/10 > 10

Therefore,

n X 2 > 10 X 10            or,      n X 8 > 10 X 10

hence,

n > 100/2                      or,               n > 100/8

n >  50                          or,               n > 12.5

Since we need to find the minimum no. of sample size to be required we will consider

n > 12.5

The sample size has to be a whole number hence,

n = 13

Therefore, the minimum sample size for the given event to have a normal approximation has to be 13 people.

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If no sheets of plywood are bought and 220 units of currency are available, it is possible to buy 44 sheets of drywall.

Two or more expressions with an Equal sign is called as Equation.

Given that the equation 5 x + 22y=220 represents the number of sheets of drywall x and sheets of plywood y that can be bought with 220

If no sheets of plywood are bought, the equation 5x + 22y = 220 simplifies to 5x = 220, since 22y = 0 when y = 0.

We can isolate x on one side of the equation by dividing both sides by 5:

5x = 220

Divide both sides by 5.

x = 220/5

Divide numerator and denominator by five.

x = 44

Therefore, if no sheets of plywood are bought and 220 units of currency are available, it is possible to buy 44 sheets of drywall.

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a) To find the values of T₁, T₂, and T₄ using the composite trapezoidal rule, we need to divide the interval [1, 2] into n subintervals and calculate the corresponding approximations.

b) To approximate the integral ∫[1 to 2] f²(x) dx using the values of T₁, T₂, and T obtained in part a), we can use Richardson's extrapolation formula

For T₁, we have n = 1 (one subinterval):

Δx = (2 - 1) / 1 = 1

T₁ = Δx/2 * [f(1) + f(2)]

= (1/2) * [f(1) + f(2)]

For T₂, we have n = 2 (two subintervals):

Δx = (2 - 1) / 2 = 1/2

T₂ = Δx/2 * [f(1) + 2f(3/2) + f(2)]

For T₄, we have n = 4 (four subintervals):

Δx = (2 - 1) / 4 = 1/4

T₄ = Δx/2 * [f(1) + 2f(5/4) + 2f(3/2) + 2f(7/4) + f(2)]

b) To approximate the integral ∫[1 to 2] f²(x) dx using the values of T₁, T₂, and T obtained in part a), we can use Richardson's extrapolation formula. This formula allows us to improve the accuracy of the approximation.

Richardson's extrapolation formula:

I ≈ (4T₂ - T₁) / 3

Using this formula, we can plug in the values of T₁ and T₂ obtained in part a) to get a more accurate approximation of the integral ∫[1 to 2] f²(x) dx.

I ≈ (4T₂ - T₁) / 3

Please note that without the specific function f(x) provided, we cannot provide the exact numerical values for T₁, T₂, and the final approximation of the integral. The above formulas represent the general process for finding these values using the composite trapezoidal rule and Richardson's extrapolation.

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Answer:

Bus 1 is traveling faster.

Step-by-step explanation:

The information provided states that Bus 1 travels at 55 miles per hour. The graph shows that Bus 2 travels less than 50 miles per hour. This shows that Bus 1 travels more miles per hour.

Hope it helps!

Answer:

16,920,000 people speak Spanish at home in the United States, which represents 6.48% of the country's population.

Step-by-step explanation:

Given that approximately 261,000,000 people live in the United States, and of these people 37,600,000 speak a language other than English at home, of which over 45 percent speak Spanish, to determine the number of people who speak Spanish in the United States, the following calculation has to be done:

37,600,000 x 0.45 = X

16,920,000 = X

261,000,000 = 100

16,920,000 = X

16,920,000 x 100 / 261,000,000 = X

6.48 = X

Thus, some 16,920,000 people speak Spanish at home in the United States, which represents 6.48% of the country's population.

Answer:

5.38 inches

Step-by-step explanation:

The formula for Area of an Heptagon

= A=7/4a²cot(180°/7)

Area = 105in²

Side a = ?

The formula for Side a

= √4A ×tan (180°/7)/7

= √4 × 105 × tan (180°/7) /7

= 5.37536 inches

Approximately = 5.38 inches.

In order to prove the triangles are similar, you have to use SAS, SSS and AA rule.

In triangle, the similarity theorem states that if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Here we have to find the 3 shortcuts to prove the triangles are similar.

According to the similarity theorem, here we have triangle that is similar to other if two pairs of angles are congruent (AA) or if two pairs of sides are proportional and the included angles are congruent whereas if three pairs of sides are proportional (SSS).

Here we must know that the term similarity and congruent are similar terms.

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Answer:

my best guess is c it could be b to

Step-by-step explanation:

1 of them is right

Answer:

The answer is C because the line in the middle is between 12 and 14

Step-by-step explanation:

The quadratic equation is x² + (p - 5)x + 2q = 0.

By Vieta's Formula,

we have SOR = -b/a and POR = c/a.

=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.

=> 3 = 5 - p and -18 = 2q

Hence, p = 2 and q = -9.

Alternate Method:

We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.

=> (x + 3)(x - 6) = x² - 3x - 18.

By Comparing Coefficients,

(p - 5) = -3 and 2q = 18.

Hence p = 2 and q = -9.

Answer:

B)cevap B olmalı.....,,,

Answer:

p = -30.3

Step-by-step explanation:

Answer:

p=  −91/3

Step-by-step explanation:

Verify the equality Var(x) = E[Var(X|Y)] + Var[E(X|Y)] using joint density function f(x, y). Apply the law of total variance and Adam and Eve formula.

To verify the equality Var(x) = E[Var(X|Y)] + Var[E(X|Y)] using the given joint density function f(x, y), we'll apply the law of total variance and the Adam and Eve formula.

Let's start by calculating the required components:

Var(x):

We need to find the variance of the random variable x.

Var(x) = E[x^2] - (E[x])^2

To calculate E[x], we need to integrate x times the joint density f(x, y) over the range of x and y where it is defined:

E[x] = ∫∫[0<x<1, 0<y<x] x * f(x, y) dy dx

Similarly, to calculate E[x^2], we integrate x^2 times the joint density over the same range:

E[x^2] = ∫∫[0<x<1, 0<y<x] x^2 * f(x, y) dy dx

E[Var(X|Y)]:

We need to find the conditional variance of X given Y and then take its expected value.

Var(X|Y) = E[X^2|Y] - (E[X|Y])^2

To calculate E[Var(X|Y)], we integrate Var(X|Y) times the conditional density f(x|y) over the range of x and y where it is defined:

E[Var(X|Y)] = ∫∫[0<x<1, 0<y<x] Var(X|Y) * f(x|y) dy dx

Var[E(X|Y)]:

We need to find the conditional expectation of X given Y and then calculate its variance.

E(X|Y) = ∫[0<x<1, 0<y<x] x * f(x|y) dx

To calculate Var[E(X|Y)], we first find E(X|Y) and then integrate (X - E(X|Y))^2 times the conditional density f(x|y) over the range of x and y where it is defined:

Var[E(X|Y)] = ∫∫[0<x<1, 0<y<x] (X - E(X|Y))^2 * f(x|y) dy dx

After calculating these components, we'll check if Var(x) is equal to E[Var(X|Y)] + Var[E(X|Y)].

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