An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287, and 225. What are the mean and the variance respectively of this sample rounded to nearest whole number

Answer: The shorter side = 11.83 cm

Step-by-step explanation:

The diagonal of a rectangle creates a right triangle with its adjacent sides.

Given: The diagonal and the longer side of a rectangle make an angle of 43.2°. If the longer  side is 12.6cm.

According to trigonometry,

[tex]\tan x=\frac{\text{Side opposite to x}}{\text{Side adjacent to x}}[/tex]

[tex]\tan 43.2^{\circ}=\frac{\text{Shorter side}}{12.6 }\\\\0.93906251=\frac{\text{Shorter side}}{12.6}\\\\ \text{Shorter side}=12.6\times 0.93906251\\\\=11.832187626\approx11.83\ cm[/tex]

Hence, the shorter side = 11.83 cm

Answer:

87.79

Step-by-step explanation:

Given :

Number of skiers in the village = Inventory = 1562.664

Stay time in LaVilla = 17.8 days

The number of new skiers arriving on average per day is :

According to Little's theorem :

Inventory / flow time

1562.664 / 17.8

= 87.79

Hence, 87.79 arrive LaVilla per day on average

Find common denominators, note that what you multiply (or divide) to the denominator, you must also do the same to the numerator.

1)

[tex]\frac{2}{3} , \frac{3}{4} \\\frac{2}{3} * \frac{4}{4} = \frac{8}{12} \\\frac{3}{4} * \frac{3}{3} = \frac{9}{12}[/tex]

Answers: [tex]\frac{8}{12} ; \frac{9}{12}[/tex]

2)

[tex]\frac{1}{4} , \frac{2}{3} \\\frac{1}{4} * \frac{3}{3} = \frac{3}{12}\\\frac{2}{3} * \frac{4}{4} = \frac{8}{12}[/tex]

Answers: [tex]\frac{3}{12} ; \frac{8}{12}[/tex]

3)

[tex]\frac{3}{10} , \frac{1}{2} \\\frac{3}{10} * \frac{1}{1} = \frac{3}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]

Answers: [tex]\frac{3}{10} ; \frac{5}{10}[/tex]

4)

[tex]\frac{3}{5} , \frac{3}{4}\\\frac{3}{5} * \frac{4}{4} = \frac{12}{20}\\\frac{3}{4} * \frac{5}{5} = \frac{15}{20}[/tex]

Answers: [tex]\frac{12}{20} ; \frac{15}{20}[/tex]

5)

[tex]\frac{2}{4} , \frac{7}{8} \\\frac{2}{4} * \frac{8}{8} = \frac{16}{32}\\\frac{7}{8} * \frac{4}{4} = \frac{28}{32}[/tex]

Answers: [tex]\frac{16}{32} ; \frac{28}{32}[/tex]

6)

[tex]\frac{2}{3} , \frac{5}{12}[/tex]

[tex]\frac{2}{3} * \frac{12}{12} = \frac{24}{36} \\\frac{5}{12} * \frac{3}{3} = \frac{15}{36}[/tex]

Answers: [tex]\frac{24}{36} ; \frac{15}{36}[/tex]

7)

[tex]\frac{1}{4} , \frac{1}{6} \\\\\frac{1}{4} * \frac{6}{6} = \frac{6}{24} \\\frac{1}{6} * \frac{4}{4} = \frac{4}{24}[/tex]

Answers: [tex]\frac{6}{24} ; \frac{4}{24}[/tex]

Find common denominators, note that what you do to the denominator, you do to the numerator:

8.

[tex]\frac{1}{2} [] \frac{2}{5} \\(\frac{5}{5}) \frac{1}{2} [] \frac{2}{5} (\frac{2}{2})\\\frac{5}{10} \neq \frac{4}{10}[/tex]

Answer: Does not equal.

9.

[tex]\frac{1}{2} [] \frac{3}{6} \\\frac{1}{2} (* \frac{3}{3}) [] \frac{3}{6}\\\frac{1 * 3}{2 * 3} [] \frac{3}{6} \\\frac{3}{6} = \frac{3}{6} \\\\\frac{1}{2} = \frac{3}{6}[/tex]

Answer: Does equal.

10.

[tex]\frac{3}{4} [] \frac{5}{6}\\(\frac{6}{6})\frac{3}{4} [] \frac{5}{6}(\frac{4}{4})\\\frac{18}{24} \neq \frac{20}{24}[/tex]

Answer: Does not equal.

11.

[tex]\frac{6}{10} [] \frac{3}{5} \\\frac{6}{10} [] (\frac{3}{5} )(\frac{2}{2})\\\frac{6}{10} [] (\frac{3 * 2}{5 * 2})\\\frac{6}{10} = \frac{6}{10}[/tex]

Answer: Does equal.

12. You are simply only looking for the least number of parts that both rectangles can be divided too. Find the least common multiple of both 3 and 4:

Multiples of 3: 3, 6, 9, 12

Multiples of 4: 4, 8, 12

12 is your answer.

13. Find common denominators. Note that what you do to denominator, you do to the numerator:

[tex]\frac{2}{5} * \frac{2}{2} = \frac{4}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]

Answers: [tex]\frac{4}{10}[/tex] , [tex]\frac{5}{10}[/tex]

~

Answer:

diameter = 18.8 ft

circumference = 56.1 ft

Step-by-step explanation:

diameter = 2 x radius = 2 x 9.4 = 18.8 ft

circumference = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](9.4) = 56.061 rounded to the nearest tenth is 56.1

Answer:

The equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is [tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex].

Step-by-step explanation:

A sphere is described by its radius and center, the radius of the largest sphere contained in the first octant are determined by the least distance of the center with respect to an orthogonal axis, that is:

Distance regarding x-axis:

[tex]d_{x} = 10 - 0[/tex]

[tex]d_{x} = 10[/tex]

Distance regarding y-axis:

[tex]d_{y} = 8 - 0[/tex]

[tex]d_{y} = 8[/tex]

Distance regarding z-axis:

[tex]d_{z} = 7 - 0[/tex]

[tex]d_{z} = 7[/tex]

Hence, the radius of the sphere must have a measure of 7. The equation of the sphere is represented by the following geometric locus:

[tex](x-h)^{2} + (y-k)^{2} + (z - j)^{2} = r^{2}[/tex] (1)

Where:

[tex]h, k, j[/tex] - Coordinates of the center.

[tex]r[/tex] - Radius of the sphere.

If we know that [tex](h,k,j) = (10, 8, 7)[/tex] and [tex]r = 7[/tex], then the equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is:

[tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex]

Answer:-5

Step-by-step explanation:

Hello!

-6-4/2 = -10/2=-5

Hope this helps, have a great day!

Answer:

136 [tex]m^{2}[/tex]

Step-by-step explanation:

Back of the shape area/ front of the shape area

A = [tex]\frac{1}{2}[/tex] [tex](bh)[/tex]

A = [tex]\frac{1}{2}[/tex] (6 × 4)

A = [tex]\frac{1}{2}[/tex] (24)       Divide 24 ÷ 2

A = 12

Bottom of the shape area

A = l · w

A = 7 · 6

A = 42

Left side of the shape area/right side of the shape area

A = l · w

A = 7 · 5

A = 35

---------------------------------------------------------------------------------

35 + 35 + 42 + 12 + 12 = 136 [tex]m^{2}[/tex]

SA = 136 [tex]m^{2}[/tex] Surface Area = 136 [tex]m^{2}[/tex]

Answer:

(c) No; There is an exponent on a variable x that is not a whole number

Step-by-step explanation:

Given

[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]

Required

Determine if the function is a polynomial function of not

A polynomial function is represented as:

[tex]f(x) =ax^n + bx^{n-1} + cx^{n-2}+........+z[/tex]

Where n is an integer and the least power is 0

So, we have:

[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]

The degree of x is [tex]\frac{1}{5}[/tex] ----- i.e. not an integer

Hence, the function is not a polynomial

Answer:

Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction.

Step-by-step explanation:

Answer:

There are many different ways to go about proving something, discuss 3 methods: direct proof, proof by contradiction, proof by induction. Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction

hope this helps

have a good day :)

Step-by-step explanation:

give the other person brainliest pls

Answer:

2f+3g+2h

hope this helps

have a good day :)

Step-by-step explanation:

Total number of plants,

= 13 + 2 = 15

Number of plants in a row = 3

Hence, Total Number of rows,

Therefore, he will have five rows.

9514 1404 393

Answer:

  1/2 + 1/6

Step-by-step explanation:

  2/3 = 1/2 + 1/6

__

The sum of unit fractions is called an Egyptian Fraction. There are several different algorithms for finding such a sum. Here, we are starting with the form ...

  2/p

where p is a small prime. Then the sum can be written as ...

  1/((p+1)/2) +1/(p(p+1)/2) = 1/(4/2) +1/(3(4/2)) = 1/2 + 1/6

A different algorithm is used when p is a composite number.

__

Using the "greedy" algorithm, we can find the largest unit fraction less than 2/3 to be ...

  1/ceil(3/2) = 1/2

Then the largest unit fraction in the remainder is similarly found. The remainder is ...

  2/3 -1/2 = 1/6 . . . . already a unit fraction

So, the sum is ...

  2/3 = 1/2 + 1/6

Answer:

SA=160

Step-by-step explanation:

surface area of cuboid=2lw+2wh+2hl

=2(12)(4)+2(4)(2)+2(2)(12)

=96+16+48

=160

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer: b= - -log10(7)+3/2

Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)

so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)

Simplify -2b= -log10(7)+3

Divide both sides by -2  -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!

Answer:

B. 500

Hope this helps!! :D

Answer:

The answer is B

explanation:

78.8 is nearly 80 and 6.8 is nearly 7

so an estimate would be 80 × 7

= 560

Answer:

The probability that the month starts with the letter J or the letter M is 41.66%.

Step-by-step explanation:

Given that a month of the year is chosen at random, to determine what is the probability that the month starts with the letter J or the letter M, the following calculation must be performed:

January - March - May - June - July = 5 months

(5/12) x 100 = X

0.4166 x 100 = X

41.66 = X

Therefore, the probability that the month starts with the letter J or the letter M is 41.66%.

Answer:

5/12

Step-by-step explanation:

Months that start with the letter M are March and May

Months that start with J are January, June, July

So, in total the months that start with J and M are 5 in number.

Total number of months = 12

Therefore the probability = 5/12 or 0.416 (bar on 6)

Hope u understood

Please mark as brainliest

Thank You

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that [tex]p = 0.9[/tex].

Sample of 10

This means that [tex]n = 10[/tex]

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874[/tex]

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Answer:

the answer is b

Step-by-step explanation:

Answer:

b: 78.5cm²

Step-by-step explanation:

answer is b my friend

Answer:

x = 12

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

3*x = 6^2

3x = 36

Divide each side by 3

3x/3 = 36/3

x = 12

Answer:

a = 8 * (2)^(2x)

Step-by-step explanation:

There are 2 12hours periods in a day

a = 8 * (2)^(2x)

Answer:

B

Step-by-step explanation:

Maria has $5.00 more than José

Maria, M

Jose, j

M = j + $5

j + M = $37.50

j + j + $5 = $37.50

The amount of money José has is $16.25.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Maria has $5.00 more than José.

Together they have. $37.50.

Let, the amount of money José has be x.

Based on the given conditions, formulate:

[tex]\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25[/tex]

Hence, the amount of money José has is $16.25.

Learn more about equation here;

brainly.com/question/21511618

#SPJ2

Answer:

x-6+6(6+6+6)X I am a pro boiiiiii

Answer:

<5, <1

Step-by-step explanation:

.............

........

Answer:

=  -24x^5 -60x^4 - 20x^3 + 8x^2+36

Step-by-step explanation:

Given the expression

(4x + 6)(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)

Expand

4x(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)+6(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)

= -24x^5 -16x^2-24x^4+24x+16x^3 - 36x^4 -24x-36x^3+36+24x^2

= -24x^5 -24x^4 - 36x^4+16x^3-36x^3 -16x^2+24x^2+24x-24x+36

=  -24x^5 -60x^4 - 20x^3 + 8x^2+36

This gives the required expression

Answer:

8/5

Step-by-step explanation:

First find h(-3)

 h(-3)= 4-(-3) = 4+3 = 7

Then take this result and find g(h(-3)) = g(7)

g(7) = (7+1)/( 7-2) = 8/5

Complete question is;

Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them?

A) 12x

B) 12x² + 40

C) 12x + 40

D) 8x + 40

Answer:

C: 12x + 40

Step-by-step explanation:

We are told that the Cost to rent tables from Company A is;

f(x) = 4x + 25

Also, we are told that the Cost to rent tables from Company B is;

g(x) = 2(4x) + 15

Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;

Total = f(x) + g(x)

Total = 4x + 25 + 2(4x) + 15

Total = 4x + 25 + 8x + 15

Total = 12x + 40

Answer: x = 28

Step-by-step explanation:

Let's solve your equation step by step!

3/8x + 15/2 = 18

Step 1: Subtract 15/2 from both sides.

3/8x + 15/2 - 15/2 = 18 - 15/2

3/8x = 21/2

Step 2: Multiply both sides by 8/3

(8/3) * (3/8x) = (8/3) * (21/2)

Step 3. Calculate

x = 28

Answer:

341.6

Step-by-step explanation:

This problem asks one to subtract (58.4) from (400).

400 - 58.4 = 341.6

Less than is subtraction.

Subtract 58.4 from 400

400 - 58.4 = 341.6

The answer is 341.6

Answer:

3`⁴ = 1/81

Step-by-step explanation:

________________