You take an exam and ask 10 classmates what grade they got. You find a mean of 75 and a standard deviation of 8. If you were to ask one more student what their score is, what score would: 1. increase the mean and increase the standard deviation______
2. decrease the mean and increase the standard deviation_____
3. increase the mean and decrease the standard deviation _____
4. decrease the mean and decrease the standard deviation______

Answer:

7% or 0.07

Step-by-step explanation:

Answer:

Hope this helps!

Step-by-step explanation:

Point Form:

(1,2)

Equation Form:

x = 1 , y = 2

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

Let's do an example first and then summerize what are the techniques to complete the square for quadratic equation in order to solve for x. -2x^2 + 5x + 12 = 0 -2x^2 + 5x =  -12 -2 (x^2 - 5/2 x) = -12 so 2ab = 5/2 x  ("2ab" refers to the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 ) Since a=1 (because x^2 is the a^2 in the formula), we get 2*1*b = 2b = 5/2 x, so b = 5/4 That means to complete the square we will add "b^2" (which is (5/4)^2 here) and then subtract (5/4)^2 in the parenthesis: -2 [ x^2 - 5/2 x + (5/4)^2 - (5/4)^2 ] =  -12 Now that is same as  -2 (x - 5/4 )^2 + (-2) * (-5/4)^2 = -12 To simplify it we follow these steps: -2 (x - 5/4 )^2 + 2 * 25/16  = -12 -2 (x - 5/4 )^2 + 25/8  = -12 Multiply both sides of the equation by 8 we get this: -16 (x-5/4)^2 +25 = -96 then -16 (x-5/4)^2  = -121   Techniques summerization: To complete the square for quadratic equation in order to solve for x, first we need to move the terms without x (which is "c" in the "ax^2+bx+c=0" form) to the right side of the equation. Then we divide both sides of the equation by "a" in the "ax^2+bx+c=0" equation. Through the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 we will then figure out the value of "b", so then we know what is the b^2 we need to add then subtract. Finally just simplify the equation. Hope this helps.

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

The points all go downhill as you move from left to right. We can draw a straight line that is fairly close to all of them. This is known as the regression line. The regression line having a negative slope tells us the linear association is negative. This means the correlation coefficient r is negative, so,  (r = -1 is not possible as not all points fall on the same straight line)

Answer:

(4, - 2 )

Step-by-step explanation:

7x + 2y = 24 → (1)

x + 2y = 0 ( subtract 2y from both sides )

x = - 2y → (2)

substitute x = - 2y into (1)

7(- 2y) + 2y = 24

- 14y + 2y = 24

- 12y = 24 ( divide both sides by - 12 )

y = - 2

substitute y = - 2 into (2)

x = - 2(- 2) = 4

solution is (4, - 2 )

Answer:

The first question is 11.25

The second question is 35.5

Step-by-step explanation:

Answer:

The max height is 11.25 feet and the ball will take 1.464 seconds to hit the ground

Step-by-step explanation:

The quickest way to solve this equation is by using the equation that you gave, which is h(t)= -16t^2 + v0t + h0. This equation models the trajectory of the football, which means that at the equation's vertex, we can model what the height of the ball is. Along with that, by finding the positive root of where h(t) = 0, we can find how long it will take for the ball to hit the ground.

First, lets find h0 and v(0)

h0 is the initial height of the ball. So we know that the ball leaves your hand of 5 feet, so h0 = 5. Similarly, the initial velocity is 20 ft/sec, so v0 = 20.

Plugging 5 in for h0 and 20 for v0, we get h(t) = -16t^2 + 20t + 5.

Second, find max height.

To find the vertex of a parabola, use -b/2a to find the time, and plug that into h(t) to get the height.

b=20

a=-16

t = -b/2a = -20/2(-16) = .625 seconds

h(.625) = 11.25 feet

The max height is 11.25 feet

Third, find how long.

To find this, we need to find the t-intercepts of the equation.

set h(t) = 0

-16t^2 + 20t + 5 = 0

Use quadratic formula to find t

t = (- 20 ± \(\sqrt{20^{2} - 4(-16)(5)}\))/2(-16)

t = {1.464}, -.214

The ball will take 1.464 seconds to hit the ground.

Answer:

-4 and -16

Step-by-step explanation:

Let x = first number

Let y = second number

Given:

⇒ xy = 64

Given:

⇒ x + y = -20

Rewrite  x + y = -20  to make x the subject:

⇒ x = -20 - y

Substitute into xy = 64 and solve for y:

⇒ (-20 - y)y = 64

⇒ -20y - y² = 64

⇒ y² + 20y + 64 = 0

⇒ (y + 4)(y + 16) = 0

⇒ y = -4, y = -16

As x + y = -20

If y = -4 then x = -16

If y = -16 then x = -4

Therefore, the two numbers are -4 and -16

Let they be a and b

So

\(\\ \rm\rightarrowtail (a-b)^2=(a+b)^2-4ab\)

\(\\ \rm\rightarrowtail (a-b)^2=(-20)^2-4(64)=400-256=144\)

\(\\ \rm\rightarrowtail a-b=12\dots(2)\)

From both equations

Answer:sine

Step-by-step explanation:

The work needed to extend the spring to a length of 2 m is 1.875 Joules.

To find the work needed to extend the spring to a length of 2 m, we can use the concept of work done by a force in stretching a spring.

The work done is given by the formula:

Work =\((1/2)k(x^2 - x0^2)\),

where k is the spring constant, x is the final displacement, and x0 is the initial displacement (equilibrium length).

Given:

Equilibrium length (x0) = 1 m

Force applied (F) = 5 N

Final displacement (x) = 2 m

We need to find the spring constant (k) to calculate the work. The spring constant can be determined using Hooke's Law:

F = k * x

Substituting the values:

5 N = k * 4 m

Solving for k:

k = 5 N / 4 m = 1.25 N/m

Now we can calculate the work done to extend the spring to a length of 2 m:

Work = (1/2) * k * (x^2 - x0^2)

     = (1/2) * 1.25 N/m * ((2 m)^2 - (1 m)^2)

     = (1/2) * 1.25 N/m * (4 m^2 - 1 m^2)

     = (1/2) * 1.25 N/m * 3 m^2

     = (1/2) * 3.75 N*m

     = 1.875 J

Therefore, the work needed to extend the spring to a length of 2 m is 1.875 Joules.

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Answer:

y = x

Step-by-step explanation:

Since the x-values and y-values remain the same all throughout the chart, it's in a 1 to 1 relationship.

That just means the numbers will ALWAYS EQUAL each other.

Hence, y = x

The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

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Answer:

-1/5

Step-by-step explanation:

We know that a^b * a^c = a^(b+c)

(−5)^5(−5)^−6

(-5) ^(5+-6)

(-5)^-1

We know that a^-b = 1/a^b

1/(-5)^1

1/-5

-1/5

Answer:

give a full picture bruv

Answer:

Step-by-step explanation:

GCF of 9,12 and 6 is 3. 3 can go into both evenly

Answer:

the answer is 3.

Step-by-step explanation:

3"2=6

3*3=9

3*4=12

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A circle is a curve sketched out by a point moving in a plane. The length of wx is 18 cm.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given the length of the circle's diameter, z is 72 cm, therefore, the length of zx(Radius) is 36cm. Since the length of yz is 30 cm, the length of xy is 6 cm.

Also, the length of the circle's diameter, w is 48 cm, therefore, the length of wy(Radius) is 24 cm. Since the length of xy is 6 cm, the length of wx will be equal to,

Length of wx = wy-xy = 24cm - 6cm = 18 cm

Hence, the length of wx is 18 cm.

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Step-by-step explanation:

please give this answer brainlist answer

According to the geometric diagram and the definition of the area for a rectangle, the area of the rectangle is 16√3 + 32 square milimeters.

In this problem we find a geometric system formed by a rectangle and three inscribed triangles. The detailed geometric diagram is introduced in the image attached below, in which we find that the triangle formed by the centers of the three circles is equilateral.

The area of the rectangle is equal to the product of its height and its width, whose dimensions are:

Height: h = 2 · 0.5√3 · (2 mm) + 2 · (2 mm) = 2√3 + 4 mm

Width: w = 4 · (2 mm) = 8 mm

A = h · w

A = (2√3 + 4 mm) · (8 mm)

A = 16√3 + 32 mm²

The area of the rectangle is 16√3 + 32 square milimeters.

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Answer:

221cm squre

Step-by-step explanation:

Answer:

284/3 πx³

Step-by-step explanation:

Volume of a cylinder is expressed as shown:

V = πr²h

r is the radius of the cylinder

r = diameter/2

r = 8x/2

r = 4x

Height of the cylinder = 6x

Volume of the roll with out the hole

V = π(4x)²(6x)

V = 16x²π(6x)

V = 96πx³

The hole in the middle will be a solid sphere with diameter 2x (radius will be x)

Volume of the hole = 4/3πr³

Volume if the hole = 4/3πx³

Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole

= 96πx³ - 4/3πx³

= (96-4/3)πx³

= 284/3 πx³

The approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°. None of the provided answer choices match the correct answer.

To calculate the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th, we can use the analemma.

The analemma is a figure-8 shaped curve that represents the position of the Sun in the sky at the same time each day over the course of a year. It accounts for the Earth's axial tilt and elliptical orbit around the Sun.

To find the approximate noon Sun angle, we need to consider the declination of the Sun on February 14th and the latitude of Long Island.

On February 14th, the Sun's declination is approximately -12°.

The Sun angle at noon can be calculated using the following formula:

Sun angle = 90° - (latitude - declination)

Substituting the values, we have:

Sun angle = 90° - (41° - (-12°))

Simplifying this equation, we get:

Sun angle = 90° - 41° + 12°

Sun angle = 61°

Therefore, the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°.

None of the provided answer choices match the correct answer.

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The two quantities are: Distance from home:  Time in x and y axis in the given case.

Distance from home: This can be represented on the y-axis or x-axis depending on the preference of the graph. If distance from home is on the y-axis, then the x-axis could represent time or temperature, depending on which quantity is relevant to the situation being described.

Time: This can be represented on the x-axis or y-axis depending on the preference of the graph. If time is on the x-axis, then the y-axis could represent distance from home or distance to a friend's house, depending on which quantity is relevant to the situation being described.

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Answer:

2.57 square meters

Step-by-step explanation:

r = Radius of circle

Area of shaded region = Area of semi-circle:

\(= \frac{1}{2}(\pi r^{2})\)

= \(\frac{\pi}{2} r^{2}\)

= \(\frac{\pi }{2} (1.28m)^{2}\)

= 2.57 \(m^{2}\) (Rounded to 2 decimal places)

Answer:

y=-4x+4x-32

Step-by-step explanation:

Answer:

y=x-8

Step-by-step explanation:

4y-4x=-32

4y=4x+(-32)

4y=4x-32

y=4/4x-32/4

y=x-8

Answer:

A

Step-by-step explanation:

3(x+2)+4x=3x+6+4x=7x+6

The first term of the infinite geometric series is 16.

To find the first term of an infinite geometric series, we can use the formula for the sum of an infinite geometric series. The formula is given as:

S = a / (1 - r),

where S is the sum of the series, a is the first term, and r is the common ratio.

In this case, we are given that the sum of the series is 20 and the common ratio is 0.2. Plugging these values into the formula, we have:

20 = a / (1 - 0.2).

Simplifying the equation, we get:

20 = a / 0.8.

To solve for a, we multiply both sides of the equation by 0.8:

0.8 * 20 = a.

This gives us:

16 = a.

Therefore, the first term of the series is 16.

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Answer: It looks nice..? Nice gacha character..?

Step-by-step explanation: