The grades on a history midterm at Almond are roughly symmetric with \mu = 85μ=85mu, equals, 85 and \sigma = 2.0σ=2.0sigma, equals, 2, point, 0. Michael scored 868686 on the exam. Find the z-score for Michael's exam grade. Round to two decimal places.

Answer:

-3/2

Step-by-step explanation:

Answer:

Area = 2375.83

Step-by-step explanation:

[tex]Area=\pi r^{2} \\Radius = Diameter/2\\r=55/2\\r=27.5\\Area=\pi(27.5)^{2} \\Area=2375.83[/tex]

Answer:

$19.60

Step-by-step explanation:

Take the amount and multiply by the tax rate to determine the sales tax

tax = 245 * 8%

Change to decimal form

tax =245*.08

     = 19.60

Answer:

$19.6

Step-by-step explanation:

8% of 245

8/100 × 245

19.6

Answer:

The result for the volume of the cylinder:

[tex]V \approx452.389[/tex]

Step-by-step explanation:

-To find the volume of a cylinder, you need the formula:

[tex]V = \pi r^2 h[/tex]

-Use the radius and the height for the formula:

[tex]V = \pi 4^2 9[/tex]

-Then, you solve:

[tex]V = \pi 4^2 9[/tex]

[tex]V = \pi[/tex] × [tex]4^2[/tex] × [tex]9[/tex]

[tex]V = \pi[/tex] × [tex]16[/tex] × [tex]9[/tex]

[tex]V = \pi[/tex] × [tex]V = 144\pi \approx 452.389[/tex]

So, therefore, the volume is [tex]452.389[/tex] .

Answer:

They spent 9 weeks in Australia, 11 weeks in Japan and 7 weeks in Sweden.

Step-by-step explanation:

A rock group plans to travel for a total of 27 weeks, making three concert stops in Japan, Australia and Sweden.

Let the number of weeks spent in Sweden be s.

Let the number of weeks spent in Japan be j.

Let the number of weeks spent in Australia be a.

This means that:

s + j + a = 27___________(1)

They will be in Japan for 2 more weeks than they will be in Australia. This means that:

j = a + 2 ______________(2)

Their stay in Sweden will be 2 weeks shorter than that in Australia. This means that:

s = a - 2 ______________(3)

We can replace s and j in (1) with (2) and (3):

=> a - 2 + a + 2 + a = 27

Collecting like terms:

a + a + a - 2 + 2 = 27

3a = 27

a = 27 / 3 = 9

The number of weeks they will spend in Australia is 9 weeks.

Putting this value of a in (2) and (3):

j = 9 + 2 = 11

and

s = 9 - 2 = 7

Therefore, they will spend 11 weeks in Japan and 7 weeks in Sweden.

Final answer:

The VR Robot will need to turn 180 degrees to face the original direction after driving forward 6 grid squares. It then drives back the same distance, totaling 12 grid squares or units of distance traveled.

Explanation:

To program a VR Robot to drive forward 6 grid squares, turn around, and drive back 6 grid squares, we need to calculate the total degrees turned and the total distance traveled. When turning to face the way it originally came from, the robot will need to turn 180 degrees.

This is because a half-circle, or a complete about-face turn, is 180 degrees. For the total distance traveled, if each grid square is a standardized distance (let's assume 1 unit distance per grid square), then driving forward 6 grid squares and back would accumulate a total of 12 grid squares or units.

The total distance traveled by the VR robot is 12 units. Turning around to face the original direction is simply a 180-degree turn, whether this is done to the left or to the right.

Answer: there is no picture so can you eidt it and show it please

Step-by-step explanation:

Answer:

1 x 24 = 24

2 x 12 = 24

3 x 8 = 24

4 x 6 = 24

if the dimensions are whole numbers

Step-by-step explanation:

The possible dimensions for a rectangular banner with an area of 24 square feet are 1 ft x 24 ft, 2 ft x 12 ft, 3 ft x 8 ft, and 4 ft x 6 ft.

The question asks us to list all possible dimensions of rectangles that can be made with an area of 24 square feet. Rectangles with the same area can have different dimensions if the length and width are factor pairs of the area. For 24 square feet, we look for pairs of numbers that multiply to give us 24.

1 ft x 24 ft

2 ft x 12 ft

3 ft x 8 ft

4 ft x 6 ft

These are all the combinations of whole number dimensions that would result in an area of 24 square feet for the banner.

Answer: 37.5% of 24 = (9)

The number of students is an illustration of proportions

9 students that got a ride

From the question, we have:

Total = 24

37.5% of the 24 students walk to school.

So, the number of students that walk to school is:

Students = 37.5% * 24

Students = 9

One third of the walkers got a ride to school today from their parents.

So, the number of students that got a ride is:

Ride =1/3 * 9

Ride = 3

Hence, the number of students that got a ride 3

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Answer:

The axis of symmetry of the parabola with a vertex at (-3, 2) is at

x = -1/2

Step-by-step explanation:

Given a quadratic function (parabola) of the form:

y = ax² + bx + c

The axis of symmetry of the function is a vertical line that divides the parabola into two congruent halves. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

This is given as x = -b/2a

We are given a parabola with vertex at (-3, 2). The quadratic function corresponding to this is

y = (x -(-3))(x - 2)

= (x + 3)(x - 2)

= x² - 2x + 3x - 6

y = x² + x - 6

Here, a = 1, b = 1, and c = -6

The axis of symmetry is at

x = -b/2a

= -1/2(1)

= -1/2

The axis of symmetry of the given parabola should be [tex]y-2=m(x+3)[/tex] for all cases. And, for horizontal and vertical orientation, the equation of the axis of symmetry should be y=2 and x=-3, respectively.

Given information:

The parabola has vertex at (-3,2).

It is required to get the axis of the parabola.

In general, the parabola with vertex (3,2) can have any axis of symmetry based on the orientation of the parabola. The only condition is that the axis must pass through the point (3,2).

The general equation of the axis of symmetry with slope m (orientation) should be,

[tex]y-(2)=m(x-(-3))\\y-2=m(x+3)[/tex]

So, the general equation of the axis of symmetry of the given parabola should be [tex]y-2=m(x+3)[/tex].

In normal cases, the orientation of the parabola is either horizontal or vertical.

In case of vertical orientation, the slope should be infinite or 1/0. So, the equation of axis will become,

[tex]0(y-2)=(x+3)\\x=-3[/tex]

In case of horizontal orientation, the slope should be infinite or 1/0. So, the equation of axis will become,

[tex](y-2)=0(x+3)\\y=2[/tex]

Therefore, the axis of symmetry of the given parabola should be [tex]y-2=m(x+3)[/tex] for all cases. And, for horizontal and vertical orientation, the equation of axis of symmetry should be y=2 and x=-3, respectively.

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Answer:

B

Step-by-step explanation:

i did it on egunity i know u hate it as much as i do....

Answer:

B

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

x + 6y = -5

3x + 18y = -15

Multiply the first equation by 3

3(x + 6y) = -5*3

3x + 18y = -15

The two equations are identical.  This means they have infinite solutions along the line x+6y = -5

Answer:

a) 9/20 or 45%

b) 2/5 or 40%

c) Answer choice 1

Step-by-step explanation:

a) During Linda's experimentation, she spinned the spinner a total of 18+14+8=40 times. Out of those, 18 landed on grey. Based on her results, the experimental probability is 18/40=9/20 or 45%.

b) Assuming the spinner is fair, since there are 5 total possible colors to land on and 2 of them are gray, the probability is 2/5 or 40%.

c) As time goes on and the spinner is spinned more and more often, it will continue to approach the theoretical probability, because that is the likelyhood every time that the arrow lands on grey. Hope this helps!

Answer: no, it does not mean the same thing

Answer:  No, a millimeter is much smaller than a meter.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When they say equation that means that something is EQUAL to something else. So, when there is no equal sign, there is no equation. All but B have an equal sign so they are equations.

Though B, does not have an equal sign it is just an expression.

The option B 43(4x + 7y) is not an equation; it is an expression

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

The list of options in relation to equations

By definition

Equations are expressions represented by the "=" symbol where all sides of the symbol are equal

Using the above as a guide, we have the following:

A 3b = 5 --- True

B 43(4x + 7y) --- False; it is an expression

C 78 = 3p - 37 --- True

D a - 17 = 1,825,026--- True

Hence, B 43(4x + 7y) is not an equation

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Answer:

− 6 f + 12 e − 8

Step-by-step explanation:

Answer:

12e-6f-8

Step-by-step explanation:

You just multiply what is in parenthesis by 2.

Answer:

can u take another picture

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

It has four zero's to the right of the decimal point

Answer:

4.5

Step-by-step explanation:

It's the right answer 2 is wrong.

The value of the third-term arithmetic sequence will be 4.5. Then the correct option is A.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

From the graph, the first term is 1.5 and the common difference is given as,

d = 3 - 1.5

d = 1.5

Then the arithmetic equation is given as,

aₙ = 1.5 + (n - 1)(1.5)

The value of the third term will be given as,

a₃ = 1.5 + (3 - 1)(1.5)

a₃ = 1.5 + 3

a₃ = 4.5

The value of the third-term arithmetic sequence will be 4.5. Then the correct option is A.

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

y = 4x-7

Step-by-step explanation:

We have a slope and a point

m = 4    (2,1)

Using the slope intercept form of the equation

y = mx+b

y = 4x+b

From the point x=2 and y =1

1 = 4(2)+b

1 = 8+b

Subtract 8 from each side

1-8 =8-8+b

-7 = b

We can write the equation by using m=4 and b = -7

y = 4x-7

Answer:

y = 4x - 7

Step-by-step explanation:

y = mx + b

y = 4x + b

1 = 4(2) + b

b = 1 - 8

b = -7

y = 4x - 7

Answer:

27[tex]\pi[/tex] OR 84.78

Step-by-step explanation:

find the area using the formula [tex]\pi r^{2}[/tex] and multiply it by [tex]\frac{3}{4}[/tex] because it is three fourths of a circle

Answer:

x = 2.20

Step-by-step explanation:

3(x+3)^2 = 81

(x+3)^2 = 81/3

(x+3)^2 = 27

x+3 = 5.20

x = 5.20 - 3

x = 2.20

Answer:

a

Step-by-step explanation:

Given

3(x + 3)² - 81 = 0 ( add 81 to both sides )

3(x + 3)² = 81 ( divide both sides by 3 )

(x + 3)² = 27 ( take the square root of both sides )

x + 3 = ±  = ± 3 ( subtract 3 from both sides )

x = - 3 ± 3

x = - 3 - 3 or x = - 3 + 3 → a

Answer:

It increases the cost of your items

Step-by-step explanation:

Answer:

It increases

Step-by-step explanation:

Well tax is used to help pay for school and other government regulated actions so it wouldn't make sense to lower the price.

Answer:

y= (0,-32) x=(16/5,0)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (16/5,0)

y-intercept(s): (0,−32)

Answer:

r/2

Step-by-step explanation:

Answer:

r/2

Step-by-step explanation:

Step-by-step explanation:

Surface Area of the Cylinder

= 2πr² + 2πrh

r = 4 in

h = 16 in

Surface Area :

= 2πr² + 2πrh

= 2π (4)² + 2π (4) (16)

Hope it helpful and useful :)

The correct equation to find the surface area of the cylinder is,

⇒ 2 π × 4 × 16 + 2π × 4²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For a cylinder,

r = 4 in.

h = 16 in.

Now, We know that;

its surface area is,

⇒ 2π r h + 2π r²

Hence, The correct equation to find the surface area of the cylinder is,

⇒ 2 π × 4 × 16 + 2π × 4²

⇒ S = 128π + 32π

⇒ S = 160π

Thus, The correct equation to find the surface area of the cylinder is,

⇒ 2 π × 4 × 16 + 2π × 4²

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To find the value of y, given the area of a rectangle and its side lengths x and y, divide the area by x to find y.

To find the value of y, given the area of a rectangle and its side lengths x and y, we can set up the equation:

x * y = 14

To solve for y, we need to rearrange the equation and isolate y:

y = 14 / x

This equation shows that y is equal to the area of the rectangle divided by x. By plugging in different values for x, we can calculate the corresponding values of y.

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