= Homework: Chapter 3 Homework
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Part 1
Listed below are the numbers of hurricanes that occurred in each year in a certain region. The
given sample data. Include appropriate units in the results. What important feature of the data
19
1
8
16
13
6
3
15
6
15
8
5
18
15
The standard deviation of the sample data is

The sample variance is

Answer:

D. average length of stay per camper per year in state parks

Answer:

d

Step-by-step explanation:

Answer:

7(X+2)

5(Y-5)

(-3X-3^3)

-3(X+1^3)

Answer:

k = 3.5

Step-by-step explanation:

Area of a rectangle = length × width

Area of the bigger triangle - Area of the smaller triangle = 35 cm²

Thus:

(2k + 6)(k) - (3)(k) = 35 cm²

2k² + 6k - 3k = 35

2k² + 3k - 35 = 0

Factorise

2k² + 10k - 7k - 35 = 0

2k(k + 5) -7(k + 5) = 0

(2k - 7)(k + 5) = 0

2k - 7 = 0

2k = 7

k = 3.5

Or

k + 5 = 0

k = -5

The value of k would be the positive number which is 3.5.

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

SOLUTION

Define a variable for the unknown numbers.

The sum is 23, implies

The difference is 9 is written as

Then we have the system of equation

Add equation 1 and 2.

Divide both sides by 2

hence x=16

Recall equation 1

Subtract 16 from both sides, we have

Hence, y=7

Answer: The numbers are 16 and 7

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

Pretty sure the area in square feet is 48^2 ft.

Step-by-step explanation:

Answer:

the area is 130

Step-by-step explanation:

The area of the rectangle for the given case is obtained as 0.7x².

A linear equation is a equation that has degree as one.To find the solution of n unknown quantities n number of equations with n number of variables are required. A linear equation can be solved by doing operations with the same number on both sides of the equation.

Suppose the length of the rectangle be x.

Then, its width is given as 70% × x = 0.7x.

Since, the area of the rectangle is the product of length and width, the following equation can be written as,

x × 0.7x = 0.7x².

Hence, the required expression for the area of the rectangle is given as 0.7x².

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Answer:

L=T³g/8π³

Step-by-step explanation:

T=2π(L/g)⅓

T³= 2³π³L/g

T³g=8π³L

L=T³g/8π³

Answer:

5

Step-by-step explanation:

7.5/1.5=5

Answer: The answer is 5

Step-by-step explanation: I have my ways ;>

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Step-by-step explanation:

(w - 3)×2 >= -19

or

2×(w - 3) >= -19

as multiplication is commutative.

Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.

Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.

La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.

Step-by-step explanation:

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

Answer:

where is the diagram?

Step-by-step explanation:

Answer:

Option A. x=30,y=42

Step-by-step explanation:

The interest based on the information given is $2564.

From the information given, the following can be deduced:

Principal = $36900

Time = 178 days

Rate = 14.25%

The simple interest will be:

= (PRT)/100

= (36900 × 14.25 × 178/365)/100

= $2564

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Answer:

€~42X so 28 +21=4x+4 which means x{¥}=5

Polynomial: 6x^3 + 12x^2 - 18x

Form 1: 6(x^3 + 2x^2 - 3x)

Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.

Form 2: 6x(x^2 + 2x - 3)

Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.

In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.

To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:

Polynomial: 6x^3 + 12x^2 - 18x

To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.

Form 1: 6(x^3 + 2x^2 - 3x)

In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.

Form 2: 6x(x^2 + 2x - 3)

In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.

We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.

In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.

In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.

By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.

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Answer:

20

Step-by-step explanation:

Work backwards.

it was 25 degrees at noon, so it was 25-11=14 degrees at 9am. Since the temperature doubled during 5am-9am, it was 14/2=7 degrees at 5am. It fell 13 degrees from midnight to 5am, so at midnight, it was 7+13=20 degrees.

You can always check your answer if you want to:

20-13=7

7x2=14

14+11=25

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

ACD

Step-by-step explanation:

PLZZ mark brainliest!!

Answer:

D i think i havent done this in a while

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

(x-10)^2 = 90     sqrt both sides

x-10  =  ± sqrt (90)

x  =   10 ± sqrt (90)

Answer:

either a or c sry

Step-by-step explanation:

Length of gz = 12 units

Length of ot = 14.4 units

Given,

Triangle EGD with centroid at Z .

Now,

As we know that centroid divides the line segment in the ratio 2:1 .

Firstly calculate the length of gz,

gu = 18 unit

gz:zu = 2:1

gz = 2/3  * 18

gz = 12 units .

Secondly calculate the length of ot,

zt = 4.8 units

oz:zt = 2:1

oz = 4.8 * 2

oz = 9.6 units

ot = 9.6+ 4.8

ot = 14.4 units

Hence with the centroid length of ot and gz can be found out .

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Answer:

r=5

Step-by-step explanation:

25^3 = 15626

-5^3 = -125

5^3 = 125

15^3 = 3375

Answer:

R=5

Step-by-step explanation:

You first have to find the cube root

The cube root of 125 is 5

r=5

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer: 64 boots in total

Step-by-step explanation:

Since a pair is 2, and there are 32 students that need a pair each, 32 x 2 = 64.

Answer: $57.6

Step-by-step explanation:

Given : A businesswoman sells a bag for $52.32.

Let cuurent selling price : SP = $52.32

As they are making 9% profit now.

That means SP= Cp +0.09 CP , where Cp is the cost price of bag.

i..e \(52.32=Cp(1+0.09) \ \text{[Substituted value of SP in LHS and taking Cp common outside in RHS]}\)

\(\Rightarrow\ 52.32=Cp(1.09)\Rightarrow\ CP=\dfrac{52.32}{1.09}=48\)

i..e Cost price of bag = 48

Selling price to gain 20% profit = Cp+0.20CP

= CP(1+0.20)

=48 (1.20)

= 57.6

Hence, the  selling price the businesswoman should ask in order to make 20% profit​ = $57.6