Help help help please

Adding 10 to every value in the data set does not affect the standard deviation.

Given data set:

X: 40, 30, 45, 35, 25

Calculate the mean (x-bar):

Mean = (40 + 30 + 45 + 35 + 25) / 5 = 175 / 5 = 35

Calculate the deviations from the mean (x - x-bar):

(x - x-bar) = 40 - 35 = 5

(x - x-bar) = 30 - 35 = -5

(x - x-bar) = 45 - 35 = 10

(x - x-bar) = 35 - 35 = 0

(x - x-bar) = 25 - 35 = -10

Square the deviations [(x - x-bar)²]:

(x - x-bar) = 5² = 25

(x - x-bar)² = (-5)² = 25

(x - x-bar)² = 10² = 100

(x - x-bar)² = 0² = 0

(x - x-bar)² = (-10)² = 100

Calculate the sum of the squared deviations:

Sum of (x - x-bar)² = 25 + 25 + 100 + 0 + 100 = 250

Now, Variance = (Sum of (x - x-bar)²) / (n - 1) = 250 / 4 = 62.5

Standard Deviation = √Variance = √62.5 ≈ 7.91

Now, let's add 10 to every value in the data set:

New data set:

X: 50, 40, 55, 45, 35

New Mean = (50 + 40 + 55 + 45 + 35) / 5 = 225 / 5 = 45

Calculate the new deviations from the new mean:

(x - x-bar) = 50 - 45 = 5

(x - x-bar) = 40 - 45 = -5

(x - x-bar) = 55 - 45 = 10

(x - x-bar) = 45 - 45 = 0

(x - x-bar) = 35 - 45 = -10

Square the new deviations [(x - x-bar)²]:

(x - x-bar)² = 5² = 25

(x - x-bar)² = (-5)² = 25

(x - x-bar)² = 10² = 100

(x - x-bar)² = 0² = 0

(x - x-bar)² = (-10)² = 100

Calculate the new sum of squared deviations:

Sum of (x - x-bar)² = 25 + 25 + 100 + 0 + 100 = 250

Calculate the new variance:

New Variance = (Sum of (x - x-bar)) / (n - 1) = 250 / 4 = 62.5

and, New Standard Deviation = √New Variance = √62.5 ≈ 7.91

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Provides a means by which a population of motor neurons can maintain constant force over a finite time interval.

What is the term that refers to a motor neuron and all of the muscle fibers it causes to contract when it fires?

What controls the motor neuron?

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Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

\(145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}\)

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

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Answer has a

Step-by-step explanation:

3√20+2√125 = 3√(4×5) + 2√(5×5×5)

=6√5+10√5

=16√5

This is your answer .

x is 8 units,the length of a side of the hexagon or square, where the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon .

In order to solve this problem, where we are given that a square and a regular hexagon have sides of the same length. the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon, So  we use the formula for the perimeter of a square which is:  P = 4x, and the formula for the perimeter of a regular hexagon is  P = 6x.Now  we set these two equations equal to one another and solve for x, where we get, 4x + 32 = 6x, so x = 8. Therefore, the length of each side of the square and hexagon is 8 units.

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Answer:

2X+100 =8X+208

8X-2X=100-208

6X=-108

X=-18

8X+208=(8×-18)+208

=-144+208

=64

ANGLE 3=180-64

=116

Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking

Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees

Answer:

4/9 = 44/99

10/11 = 90/99

Step-by-step explanation:

44/99=90/99

Answer:

Step-by-step explanation:

4/9 = 8/18 or 36/81

10/11= 20/22 or 30/33

Counting from right to left, find the 68th digit of n is 10.

An integer, is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.

The largest integer with exactly 100 digits is the integer that consists of 100 copies of the digit 9.

This integer is equal to 10100 = 10

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a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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We have explained all the steps to solve an infinite arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term is the sum of the previous term and a constant called the common difference.

When it comes to solving an infinite arithmetic sequence, you can use the following formulas:

The n-th term of an arithmetic sequence can be represented as a+(n-1)d, where "a" is the first term, "d" is a common difference, and "n" is the position of the term in the sequence.

The sum of the first n terms of an arithmetic sequence is represented as S_n = n/2(2a + (n-1)d), where "a" is the first term, "d" is a common difference, and "n" is the number of terms.

If a sequence is infinite, the sum of all terms can be represented as S_inf = a/(1-r) where "a" is the first term and "r" is the common ratio (r=1+d)

Hence, we have explained all the steps to solve an infinite arithmetic sequence.

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An expression for the amount of money that Alicia earns in a day is 40y-3g.

Given that, Alicia runs a small business mowing yards in the summer. For every yard she mows, she earns $40. However, she spends part of this money on gasoline for her lawnmower. Each gallon of gasoline costs $3.

We need to find an expression for the given situation.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Now, expression =40y-3g

Therefore, an expression for the amount of money that Alicia earns in a day is 40y-3g.

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Answer: $40y − $3g

Step-by-step explanation:

Equation c=0.48p is used find the cost is $0.48 times the number of pounds of bananas and graph is given in attachment.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that Bananas cost $0.48 per pound.

Since each pound costs $0.85, the cost of one pound is $0.48,

the cost of two pounds is twice that at $0.96

The equation c=0.48p is used find the cost is $0.48 times the number of pounds of bananas.

Hence,  equation c=0.48p is used find the cost is $0.48 times the number of pounds of bananas and graph is given in attachment.

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Annual cost to operate farm B well with cost of natural gas $2.50 per 1,000 cubic feet and uses of 10000cubic feet of natural gas per year is $25.

As given,

Farm A:

Cost of natural gas per 1,000 cubic feet=$2.50

Farm B:

Uses of natural gas per year = 10000cubic feet

Cost of natural gas of farm B is same as farm A

Cost of natural gas per 1,000 cubic feet=$2.50

⇒1cubic feet=2.50/1000

Annual cost to operate 200ft well that uses 10000 cubic feet natural gas

10000 cubic feet=(2.50 ×10000)/1000

                             =$25

Therefore, annual cost to operate farm B well with cost of natural gas $2.50 per 1,000 cubic feet and uses of 10000cubic feet of natural gas per year is $25.

The complete question is:

Farm A has a 100 ft well that uses 7,000 cubic feet of natural gas per year. If the cost of natural gas for farm A is $2.50 per 1,000 cubic feet. And farm B has a 200 ft well that uses 10000 cubic feet of natural gas per year. if the cost of natural gas is the same a farm A, what is the annual cost to operate this well?

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A congruent rectangle is a rectangle that has the same size and shape as another rectangle. In other words, two rectangles are congruent if they have the same length and width.

Since the rectangle is 4 inches by 7 inches, one of the dimensions represents the length and the other represents the width. The length and the width can be interchanged to form a different rectangle with the same area.

Since the rectangle is congruent to the 4-inch by 7-inch rectangle, the length and width of the rectangle are either 4 inches or 7 inches. Therefore, the length of segment JM can be either 4 inches or 7 inches.

So, there are two possible values for the length of segment JM: 4 inches and 7 inches.

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Answer:

No

Step-by-step explanation:

Because the last point of the table has the coordinates (4;3), while the last point in the graph has the coordinates (4;4). They do not represent the same graph, cuz one of their points is different

a. the integral \(I\) becomes \(\[I = a\theta + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration. b. the integral \(I\) becomes \(\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration.

To evaluate the integral \(I = \int (a + \cos(\theta)) \, d\theta\), we can apply the integral rules and properties. Let's consider the two given cases:

(a) If \(a > 1\):

In this case, the integral can be evaluated directly. The integral of \(a\) with respect to \(\theta\) is \(a\theta\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:

\[I = a\theta + \sin(\theta) + C\]

where \(C\) is the constant of integration.

(b) If \(a = a_0 + i e\), where \(a_0\) and \(e\) are real and positive:

In this case, the integral can also be evaluated using the same rules. The integral of a constant multiplied by a variable is \(\frac{1}{2}a\theta^2\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:

\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]

where \(C\) is the constant of integration.

It's important to note that the integral is evaluated based on the assumption that \(d\theta\) is the differential of \(\theta\) and not a different variable. Also, \(C\) represents the constant of integration, which can take any value.

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The lengths of the sides of the triangle with vertices A(2,-1,4), B(-2,3,9), and C(6,4,8) are approximately 10.63, 7.07, and 7.81 units.

To find the lengths of the sides of the triangle, we can use the distance formula in three-dimensional space. The distance formula is derived from the Pythagorean theorem, where the distance between two points P(x₁, y₁, z₁) and Q(x₂, y₂, z₂) is given by:

d(PQ) = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Applying this formula to our triangle, we can calculate the lengths of the sides as follows:

1. Side AB:

  AB = √((-2 - 2)² + (3 - (-1))² + (9 - 4)²)

     = √((-4)² + (4)² + (5)²)

     ≈ √(16 + 16 + 25)

     ≈ √57

     ≈ 7.55 units (rounded to two decimal places)

2. Side BC:

  BC = √((6 - (-2))² + (4 - 3)² + (8 - 9)²)

     = √((8)² + (1)² + (-1)²)

     ≈ √(64 + 1 + 1)

     ≈ √66

     ≈ 8.12 units (rounded to two decimal places)

3. Side CA:

  CA = √((6 - 2)² + (4 - (-1))² + (8 - 4)²)

     = √((4)² + (5)² + (4)²)

     ≈ √(16 + 25 + 16)

     ≈ √57

     ≈ 7.55 units (rounded to two decimal places)

Therefore, the lengths of the sides of the triangle ABC are approximately 7.55, 8.12, and 7.55 units.

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The correct form of the particular solution for fn = -6fn-1 + 7fn-2 + 6n is d. n(an+b). To determine the particular solution, we need to first find the characteristic equation, which is r^2 + 6r - 7 = 0. The roots of this equation are r = -7 and r = 1. Therefore, the homogeneous solution is of the form fn = A(-7)^n + B(1)^n.

To find the particular solution, we look at the non-homogeneous term, which is 6n. Since this is a linear function, we can assume that the particular solution is of the form Pn = an + b. We substitute this into the original equation and solve for a and b.

f n = -6fn-1 + 7fn-2 + 6n
(a n +b) = -6(an-1+b) + 7(an-2+b) + 6n
an + b = -6an-1 + 7an-2 + 6n + 6b
an + b = 6(an-2 - an-1 + b) + 6n

Comparing coefficients, we get:
a = 6a - 6a + 0 = 0
b = 6b + 6n

Solving for b, we get b = n. Therefore, the particular solution is Pn = an + n.

Combining the homogeneous and particular solutions, we get:
fn = A(-7)^n + B(1)^n + an + n

Note that we can further simplify this by setting A and B based on initial conditions, if given.

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Answer:

Ans is 29/6 feets. Because 6×5+4/6 =29/6

Answer:

The answer is C) 29/6

Step-by-step explanation:

You have to convert 4 5/6 into an improper fraction. When you convert it, you get 29/6

Hope this helped :)

Vikram made the error of using the same expression for the area of all four lateral faces of the square pyramid.

Vikram's mistake lies in assuming that all four lateral faces of the square pyramid have the same area. However, this assumption is incorrect because the triangular sides of the pyramid are not congruent to the square base. Each triangular side has a different shape and size compared to the others.

To calculate the surface area of the pyramid correctly, we need to consider the individual areas of each face. The surface area of a square pyramid is given by the sum of the area of the base and the areas of the four triangular faces. The correct expression for the surface area of the pyramid would be (33.2)(34.2) + 4(1/2)(34.2)(28.4), where (33.2)(34.2) represents the area of the base and 4(1/2)(34.2)(28.4) represents the combined area of the four triangular faces.

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Answer:

Given : Few Distributions Mean & Standard Deviation.

To find : normal distribution which has the greatest standard deviation.

Solution:

=> Distribution 4 has the greatest standard deviation.

Graph at top has more spread hence more standard deviation.

Answer:

its A i just took the test

Step-by-step explanation:

i hope this helped ;)

Answer:

untere Tabelle gibt an, wie Oberfläche und Volumen der Pyramide berechnet werden. Grundsätzlich gilt:

Oberfläche = Grundfläche + Mantelfläche

Volumen = Grundfläche · Pyramidenhöhe : 3

Generell ist darauf zu achten, dass mit unterschiedlichen Höhenangaben gerechnet wird. Für die Berechnung der Oberfläche wird die Höhe der schrägliegenden Seitendreiecke benötigt (Grafik unten: ha; hb). Für die Berechnung des Volumens wird die Höhe der Pyramide benutzt (Grafik unten: h).

JSXGraph v0.95 Copyright (C) see http://jsxgraph.org

ha = 5.83 cm

h = 5.00 cm

a = 6.00 cm

b = 6.01 cm

hb = 5.83 cm

V = 60.10 cm³

Ap = 106.11 cm²

AM = 70.05 cm²

AG = 36.06 cm²

 –  o  +  ←  ↓  ↑  → 

rechteckige Grundflächequadratische GrundflächeOberfläche = Grundfläche + Mantelfläche

OP = AG + AMOP = a · b + a · ha + b · hbOP = a² + a · ha · 2 Volumen = Grundfläche · h : 3

VP = AG · h : 3

VP = a · b · h : 3VP = a² · h : 3

Step-by-step explanation:

#semogamembantu

Answer:

What is the question?

Step-by-step explanation:

Answer:

It is simple, the answer is 84%

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

Answer:

10 Inches

Step-by-step explanation:

Remember the radius is always half the diameter. So, r * 2 = d. Plug those in...

5 * 2 = 10.

Therefore, the answer is 10 inches.

Answer:

-2

Step-by-step explanation:

The constant has only a number and no variable

-2 +6c +3c

-2 is the constant

6 is a coefficient for the variable term

3 is a coefficient for the variable term

-2

How

\(\\ \sf\longmapsto -2+6c+3c\)

\(\\ \sf\longmapsto -2+(6+3)c\)

\(\\ \sf\longmapsto -2+9c\)

\(\\ \sf\longmapsto 9c-2\)

Answer:

Area=36π ft or 113.1 ft

Circumfrence= 12π ft or 37.7 ft

Step-by-step explanation:

A=πr^2

r=6

A=36π ft or 113.1 ft

C=2πr

C=12π ft or 37.7 ft