n Hamilton County, Ohio the mean number of days needed to sell a home is days (Cincinnati Multiple Listing Service, April, 2012). Data for the sale of homes in a nearby country showed a sample mean of days with a sample standard deviation of days. Conduct a hypothesis test to determine whether the mean number of days until a home is sold is different than the Hamilton county mean of days in the nearby county. Round your answer to four decimal places.

Complete question is;

A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral area of the pyramid?

Answer:

Lateral area = 80 cm²

Step-by-step explanation:

We are given;

Side length; a = 8 cm

Height of pyramid; h = 3 cm

Now, formula for Lateral area of pyramid = ½ × p × L

Where p is perimeter of base and L is slant length.

Since we know the side length and height of pyramid, we can find the slant height using Pythagoreas theorem.

L² = (½×side length)² + h²

L² = (½×8)² + 3²

L² = 16 + 9

L = √25

L = 5 cm

Now perimeter of square base = 4a = 4 x 8 = 32cm

So,

Lateral area = ½ × p × L = ½ × 32 × 5

Lateral area = 80 cm²

Answer:

80 square centimeters

Step-by-step explanation:

we need to find the hypotenuse or the slant height of the triangle so 3^2+4^2 = the square root of 25 = 5

We got 4 because half of 8 is 4 and we are basically cutting the triangle in half because the height (3) is perpendicular to the side length.

8(5)/2 = 20

20(4) = 80

Answer:

A a house in that market that sells for ​$300,000 is unusual.

Step-by-step explanation:

Let the random variable X denote the price of a house and the random variable Y denote the living area of a house.

The number of houses surveyed by the real estate agent is, n = 1057.

Assume that both the random  variables, X and Y are approximately normally distributed.

That is,

[tex]X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})[/tex]

To compute the probability of a Normal distribution we first need to convert the raw scores to z-scores.

[tex]z=\frac{\text{Raw score}-\mu}{\sigma}[/tex]

A z-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these z-scores are considered as outliers.

(1)

Compute the z-score for X = 300000 as follows:

[tex]z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70[/tex]

(2)

Compute the z-score for Y = 3000 as follows:

[tex]z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19[/tex]

The z-score for a house in that market that sells for ​$300,000 is more than 1.96.

This implies, that the price $300,000 is unusually high.

The complete statement is:

The house that sells for ​$300 comma 000 has a​ z-score of 2.70 and the house with 3000 sq ft has a​ z-score of 1.19.

Answer:

2.4 kilograms

Step-by-step explanation:

Given: 5 people are evenly sharing 12 kilograms of apples

To find: quantity of apples that each person should get

Solution:

Use the unitary method to get the required answer.

Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.

Quantity of apples for 5 people = 12 kilograms

Quantity of apples for 1 person = [tex]\frac{12}{5} =2.4[/tex] kilograms

So, each person should get 2.4 kilograms of apples.

Answer:

12/5 or 2 2/5

Step-by-step explanation:

We need to divide the 12 kilograms of apples by the 5 people sharing them, or 125

12  ÷ 5 = 12/5

12/5 = 5/5 + 5/5 + 2/5

       = 1 + 1 + 2/5

       = 2 2/5

Each person should get 12/5, or 2 2/5, kilograms of apple

Answer:only Ivan

Step-by-step explanation:

Answer:

it is 0.35

Step-by-step explanation:

but is it not listed??

The equivalent decimal will be 0.35

In order to convert from fraction to decimal, we have to simlpy divide numerator by the denominator.

So according to asked question we have to convert 14/40 into equivalent decimal.

So we have just devide 14 by 40 whiuch will be 14÷40=0.35

Therefore, the equivalent decimal will be 0.35

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Answer:

y = -2x - 8

Step-by-step explanation:

The slope is the number in front of the x. If it is a whole number then the slope is number/1. Then the slope is rise over runs. Then the y-intercept is the number after the x. Sometimes there isn't y-intercept. In this one the y-intercept is -8.

Answer:

  B.  5/9

Step-by-step explanation:

There are 5 names listed in the circles representing pepperoni and olives, so of the 9 students, 5 like pepperoni or olives.

  P(A or B) = 5/9

Answer:

(120^2+120^2)^0.5 = 169.705m

Step-by-step explanation:

Pythagorean Theorem

Answer:

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Step-by-step explanation:

There are several useful rules regarding angles:

This last observation is a consequence of the 2nd and 3rd observations.

__

angle ECD

Using the last observation, ∠ECD = 124° -90° = 34°.

angle HGB

Again, using the last observation, ∠HGB = 110° -90° = 20°.

angle GBH

There are at least a couple of ways to find this one. We assume that lines FB and EC are parallel, so angles HBC and ECD are corresponding, hence congruent. Angle GBC is the supplement of of 110°, so is 70°. Then ...

  ∠GBH = 70° -34° = 36°

angle FGH

Again, this angle can be found multiple ways. Here, we'll use the sum of angles in triangle FGB.

  ∠FGB +∠GBF +∠BFG = 180°

  (∠FGH +∠HGB) +∠GBF +∠BFG = 180°

  ∠FGH +20° +36° +87° = 180°

  ∠FGH = 180° -143° = 37°

__

Least to greatest, the angles are ...

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Answer:

C) 60

Step-by-step explanation:

For computing the difference between the time taken in minutes by Noel and Tyra first we have to compute individually which are as follows

For Noel, the time taken required

[tex]= Time\ required \times number\ of\ days[/tex]

[tex]= 90\ minutes \times 6\ days[/tex]

= 540 minutes

For Tyra, the time taken required

[tex]= Time\ required \times number\ of\ days[/tex]

[tex]= 60\ minutes \times 8\ days[/tex]

= 480 minutes

So the difference is

= 540 minutes - 480 minutes

= 60 minutes

Hence, the third option is correct

Answer:

Step-by-step explanation:

Please locate the answers to this question in the file attached below, the solution is there.

Answer:

Step-by-step explanation:

A

Answer:

2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

1.5x + 6 - 3 = 4.5x - 9

1.5x - 4.5x = -9 - 6 + 3

-3x = -12

x = -12/-3

x = 4

Answer:

They all have PI π in the formulas

Step-by-step explanation:

The volume of Sphere is,  [tex]36\pi inch^3[/tex].

The volume of Cylinder is, [tex]36\pi inch^3[/tex].

The volume of Cone is,[tex]18\pi inch^3[/tex].

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.

First to find the volume of Sphere.

Given a diameter of sphere is 6 inches.

So, the radius is 6/2 = 3 inches.

Volume of Sphere is,

[tex]V = \frac{4}{3} \pi r^3\\V = \frac{4}{3} \pi (3^3)\\V = 36\pi inch^3[/tex]

Now, to find volume of Cylinder.

Given: Height = 6 inch,  diameter = 6 inch  so, radius = 3 inch

Volume of cylinder is,

[tex]V = \pi r^2h\\V = \pi (3^2)6\\V = 36\pi inch^3[/tex]

Now, to find the volume of Cone.

Given: Height = 6 inch,  radius = 3 inch

Volume of cone is,

[tex]V = \frac{h}{3} \pi r^2\\V = \frac{6}{3} \pi (3^2)\\ V = 18 \pi inch^3[/tex]

Therefore, the above the volume of Sphere and Cylinder are equal.

And the volume of Cone is half of the volumes of Sphere and Cylinder.

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Answer:

  (x -4)^2 +1

Step-by-step explanation:

For some f(x), a translation to the right by "h" and up by "k" transforms it to ...

  g(x) = f(x -h) +k

You want your G(x) to be a translation 4 units right and 1 unit up from F(x), so you have ...

  G(x) = F(x -4) +1

  G(x) = (x -4)^2 +1

The answer are A,D,and E

Answer:

A. The formula for the volume of a cyclinder can be applied to find the area of the base.

D. The area of the base is 38Pi cm2.

E. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.

I hope this helped

Answer:

$162

Step-by-step explanation:

12% of $75 is $9 Therefore,

$9 x 18 = 162 ( 18 being the years )

Hope this helps!!!

-Conrad

Answer:

  [tex]\dfrac{-5x^2+34x-32}{x^2-10x+24}[/tex]

Step-by-step explanation:

Write each fraction using a common denominator, then combine numerators and collect terms. "Simplify" usually means "eliminate parentheses."

  [tex]\dfrac{8}{x-4}-\dfrac{4}{x-6}-\dfrac{5x}{x-4}=\dfrac{8(x-6)}{(x-4)(x-6)}-\dfrac{4(x-4)}{(x-4)(x-6)}-\dfrac{5x(x-6)}{(x-4)(x-6}\\\\=\dfrac{8(x-6)-4(x-4)-5x(x-6)}{(x-4)(x-6)}=\dfrac{8x-48-4x+16-5x^2+30x}{(x-4)(x-6)}\\\\=\boxed{\dfrac{-5x^2+34x-32}{x^2-10x+24}}[/tex]

Answer:

- When all side faces are the same:

Surface Area = (Area of the Base) + 1/2 × Perimeter × (Slant Length)

- When side faces are different :

Surface Area = (Area of base) + (Lateral Area).

Step-by-step explanation:

A pyramid is formed by connecting a base to a top. There are no curves in a pyramid, the base is a polygon and all other faces are triangles.

There are many types of Pyramids, and they are named after the shape of their base.

We have Triangular Pyramid, Square Pyramid, Pentagonal Pyramid, and so on.

The Surface Area of a Pyramid.

We need to consider the two cases:

- When all side faces are the same:

Surface Area = (Area of the base) + 1/2 × Perimeter × (Slant Length)

- When side faces are different :

Surface Area = (Area of base) + (Lateral Area).

We consider the Area of Base because a pyramid's base varies, as I have explained earlier. It can be a square, a triangle, a pentagon, and so on.

Answer:

18750

Step-by-step explanation:

This is because 18750 is 5 digits and 16.5 is only 2 whole digits

Answer:

B

Step-by-step explanation:

Try it -3 squared is 9 -4 squared is 16 , 9+16 = 25 so [tex]x^{2} +y^{2} =25[/tex]

Answer:

The answer is B

Step-by-step explanation:

If you look on your picture the circle is 5 on the y axis and -5 on the y axis. and is on 5 on the x axis and -5 on the x-axis makes it 5^2 which equals 25

So if you look on the attachment i provided you can see what i mean. I graphed all equations you had you can see what i mean

use photomath it helps alot

Answer:

Alice's answer is 15 more than Artie's number.

Step-by-step explanation:

The number initially is x.

Artie's number:

Multiplies by 4, so 4x.

Subtracts 3, so 4x - 3.

Alice's number:

Adds 3, so x + 3.

Multiplies by 4, so 4(x + 3) = 4x + 12

Alice's number is how much more than Artie's?

We subtract Alice's number by Artie's number.

4x + 12 - (4x - 3) = 4x + 12 - 4x + 3 = 15

Alice's answer is 15 more than Artie's number.

Answer:

1) Given

2) Slope Formula

3) Multiply

4) If the product of the slopes of two non vertical lines is -1, then the lines are perpendicular

5) Perpendicular lines intersect to form right angles

6) Definition of right triangle

Answer:

Image A could be a Cylinder

Image B is a Tetrahedron

Step-by-step explanation:

Hope this helps : )