Please answer number 9.
I've drawn the dimensions, I just need help with labeling.

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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If the room is 20m long and 15m wide and tile is 50cm then 120,000 tiles are required to fill the room floor.

First, we need to convert the length and width of the room from meters to centimeters, since the side of each tile is given in centimeters:

Length of the room = 20 m = 20,000 cm

Width of the room = 15 m = 15,000 cm

To cover the floor with square tiles of side 50 cm each, we need to divide the length and width of the room by the length of each tile:

Number of tiles needed along the length

= Length of the room / Length of each tile

= 20,000 cm / 50 cm

= 400 tiles

Number of tiles needed along the width

= Width of the room / Length of each tile

= 15,000 cm / 50 cm

= 300 tiles

So the total number of tiles required to cover the floor of the room is:

Total number of tiles = Number of tiles needed along the length x Number of tiles needed along the width

= 400 x 300

= 120,000 tiles

Therefore, Robitaille needs 120,000 tiles to cover the floor of his room.

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Bike traveled 1271.1 inches in 15 rotation. If the diameter of wheel is 27 inches.

The route or boundary that encircles any shape in mathematics is defined by the shape's circumference. In other terms, the circumference is also known as the perimeter, which aids in determining how long a shape's outline is. The measurement around a circle is called the circumference. In other words, one may claim that it is the circle's edge.

Given

Diameter of wheel = 27 inches

Complete resolutions = 15

Radius of wheel = 27/2

Radius of wheel = 13.5 inches

Circumference of wheel

2πr

2 × 3.14 × 13.5

84.78

Distance covered in one rotation = 84.78

Distance covered in 15 rotation

= 84.78 × 15

= 1271.7

Bike traveled 1271.1 inches in 15 rotation.

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Answer:

6x^8y^5

Step-by-step explanation:

Combine the like terms. 3 x 2 is 6. x^2 x x^6 is x^8, because you add the exponents of similar bases. Finally, y^4 x y is y^5.

Answer:

So basically its whatever number you have is always going o be positive .

Step-by-step explanation:

Answer:

.........___________...............

Answer:

5/7 this is the answer. I hope it is helpful

Answer:

Step-by-step explanation:

2/3+3/4=8/12+9/12=17/12

Answer:

83505

Step-by-step explanation:

It's already in the expanded form...

Answer:

Below in bold,

Step-by-step explanation:

a. There's is only one card that fits this description so

Probability = 1/52.

b. There are 2 black Kings so

Probability = 2/52 = 1/26.

c. There are 2 of these - 7 of diamonds and 7 of hearts

so

Probability = 2/52 = 1/26.

d.  There 13 diamonds and 13 hearts so

Probability = 26/52 = 1/2.

e.  There  26 black cards

Probability = 26/52 = 1/2.

Answer:

$1281.00

Step-by-step explanation:

8540*15%=1281

Answer:

\( \sf \: j= \frac{−8}{7}s+ \frac{445}{7} , \sf \: s= \frac{−7}{8}j+ \frac{445}{8} \)

Step-by-step explanation:

\( \sf \: Let's solve for j. \\ \sf \: 7j+8s=445 \\ \sf \: Step 1: \: Add \: -8s \: to \: both \: s ides. \\ \sf \: 7j+8s+−8s=445+−8s \\ \sf \: 7j=−8s+445 \\ \sf \: Step \: 2: \: Divide \: both \: sides \: by \:7. \\ \sf \frac{7j}{7}= \frac{−8s+445}{7} \\ \sf \: j= \frac{−8}{7}s+ \frac{445}{7} \\\)

The hypothesis being tested stated as

The Null hypothesis : μ = 7.5

The alternate hypothesis : μ ≠ 7.5

Total number simple random sample = 100 postal employees

The initial average time postal employees have worked for the postal service = 7.5 years

The  average time postal employees have worked for the postal service has changed from the value of 7.5 years recorded 20 years ago.

The standard deviation s = 2 years

Assume the distribution of the time the employees have worked for the postal service is approximately Normal

Here the Null hypothesis : μ = 7.5

The alternate hypothesis : μ ≠ 7.5

Therefore, the result of the hypothesis is

The Null hypothesis  : μ = 7.5

The alternate hypothesis  : μ ≠ 7.5

I have answered the question in general, as the given question is incomplete

The complete question is:

A simple random sample of 100 postal employees is used to test if the average time postal employees have worked for the postal service has changed from the value of 7.5 years recorded 20 years ago. The sample mean was = 7 years with a standard deviation of s = 2 years. Assume the distribution of the time the employees have worked for the postal service is approximately Normal. The hypothesis being tested are?

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The probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.

To find the probability that we will see the movie in theater one and sit in the front row:

Given -

So,

Therefore, the probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.

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The correct question is given below:

Two events are independent. The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%. What is the probability that you will see the movie in theater one and sit in the front row.

(A) 40%

(B) 35%

(C) 4%

(D) 2.5%

Answer:

1/6

Step-by-step explanation:

We know that a die has 6 sides. What would be the probability to roll 1 of those sides? (to rephrase the question)

well. the probability to roll one of the sides on a 6 side dice is 1/6, 1 side on the 6 sided die.

Answer:

1/6

Step-by-step explanation:

There are six possible outcomes when rolling a die

1,2,3,4,5,6

P(rolling a 2) = number of outcomes that is a 2/ total outcomes

                     = 1/6

Answer:

Hey there!

He can create 7 plates at most, with one carrot cake and one marble cake on each plate.

Hope this helps :)

Answer: 320 grams

Step-by-step explanation:

Let the mas of the teapot be denoted by a

Let the mass of the cups be denoted by c

The question can be turned into an equation which will be:

a + 4c = 1280 ......... equation i

a + 10c = 2720 ........ equation ii

Subtract equation i from ii

6c = 1440

c = 1440/6

c = 240 grams

The mas of the cup is 240 grams

From equation i

a + 4c = 1280

a + 4(240) = 1280

a + 960 = 1280

a = 1280 - 960

a = 320 grams

The mass of the teapot is 320 grams

Answer:

Step-by-step explanation:

Hanne Keiling is a senior digital communications expert with over eight years of experience ideating, executing and launching user-first experiences to achieve business goals. She is a former Indeed editorial team member who helped job seekers be successful on Indeed throughout their job search and into their careers.

Introducing yourself well sets the stage for a professional conversation whether at a networking event, with a colleague or at the beginning of an interview. One tool that many people use to make introductions simple and effective is the elevator pitch.

Below, you will find several elevator pitch examples along with tips to help ideate, craft and deliver your personal message.

Video: How To Create the Perfect Elevator Pitch - Plus Examples

Jenn, a certified career coach, helps you tell a compelling story about who you are and where you are going in under two minutes.

Answer: I think its 117 sorry if im

wrong

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, ...

Step-by-step explanation:

it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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The formula for the area of a regular pentagon is:

A = (1/2)Pa

where A is the area of the pentagon, P is the perimeter of the pentagon, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).

If the apothem of the pentagon is 3√2, then we need to know the perimeter of the pentagon in order to calculate its area.

Unfortunately, the apothem alone is not enough information to determine the perimeter of a pentagon. However, if we assume that the pentagon is regular, then we know that all of its sides and angles are equal, and we can use the following formula to find its perimeter:

P = 5s

where P is the perimeter and s is the length of a side.

To find the length of a side, we can use the fact that the apothem is perpendicular to a side and bisects it. This means that the triangle formed by the apothem, half a side, and the center of the pentagon is a right triangle. The hypotenuse of this triangle is the length of a side, and the legs are half a side and the apothem:

s/2 = 3√2

s = 6√2

Now we can use the equation for the perimeter of a pentagon:

P = 5s = 5(6√2) = 30√2

Finally, we can use the formula for the area of a regular pentagon:

A = (1/2)Pa = (1/2)(30√2)(3√2) = 45

Therefore, the area of the pentagon is 45 square units, assuming that it is a regular pentagon with an apothem of 3√2.

Answer:

x

2

+

3

x

−

7

=

0

Add

7

to both sides of the equation.

x

2

+

3

x

=

7

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

Add

7

to both sides of the equation.

x

2

+

3

x

=

7(

3

2

)

2

Add the term to each side of the equation.

x

2

+

3

x

+

(

3

2

)

2

=

7

+

(

3

2

)

2

Simplify the equation.

Tap for more steps...

x

2

+

3

x

+

9

4

=

37

4

Factor the perfect trinomial square into

(

x

+

3

2

)

2

.

(

x

+

3

2

)

2

=

37

4

Solve the equation for

x

.

Tap for more steps...

x

=

±

√

37

2

−

3

2

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

37

2

−

3

2

Decimal Form:

x

=

1.5413812

,

−

4.54138126

Step-by-step explanation:

Answer:x^3-2x^2+4x+7

Step-by-step explanation:

The measurement of the circumference of a circle is 21.3 ft.

The circumference is the perimeter of a circle. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.

Here, given area of circle = 36 ft²

Area of Circle = πr²

           36 = 3.14 X r²

           r² = 11.46

          r = 3.38 ft.

Circumference of Circle = 2πr

                                       = 2 X 3.14 X 3.38

                                      = 21.25 ft. ≈ 21.3 feet

Thus, the measurement of the circumference of a circle is 21.3 ft.

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the measure of an angel if the measures of its two adjacent supplementary angles add up to 100 is 80 degree

Define angle ?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex

Let x =  the measure of the angle.

Because the sum of the two supplementary angles is 100°, therefore

x + 100° = 180°

x = 180 - 100 = 80°

Hence , the measure of an angel if the measures of its two adjacent supplementary angles add up to 100 is 80 degree

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Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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Answer:

n=5

Step-by-step explanation:

All of the bases are 9 so you can set the exponents equal to each other.

Exponents in a fraction mean subtraction so 7-n = 2

-n=-5

n=5

Answer:

C: Even

Step-by-step explanation:

The divisibility rule for 2 is if a number is even, then the number is divisible by 2. If the last digit of a number is even, the number is even.