The mean age of 6 women in an office is 25 years old.
The mean age of 10 men in an office is 27 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

Answer 1

Answer:

their marriage and 2 years before


Related Questions

In circle K with the measure of minor arc \stackrel{\Large \frown}{JL}=48^{\circ}, JL ⌢ =48 ∘ , find \text{m} \angle JML.m∠JML.

Answers

Answer:

2.5

Step-by-step explanation:

from delta math

if it is correct i will mark as brainlist or i will report​

Answers

Answer:

The number of non-positive integral values of [tex]k[/tex] are contained in the following set:

[tex]S_{k} = \{-1, 0\}[/tex]

Step-by-step explanation:

Let be the following second order polynomial:

[tex]x^{2}-(k + 1)\cdot x + (k^{2}+k -8) = 0[/tex], [tex]k \le 0[/tex] (1)

Whose roots can be found by the Quadratic Formula:

[tex]x_{1,2} =\frac{k + 1\pm \sqrt{k^{2}+2\cdot k +1 - 4\cdot k^{2}-4\cdot k +32 }}{2}[/tex]

[tex]x_{1,2} = \frac{k+1}{2} \pm \frac{\sqrt{33-2\cdot k -3\cdot k^{2}}}{2}[/tex]

Based on the statement, we have the following system of inequations:

[tex]\frac{k+1}{2} + \frac{\sqrt{33 - 2\cdot k -3\cdot k^{2}}}{2} > 2[/tex] (2)

[tex]\frac{k+1}{2} - \frac{\sqrt{33 - 2\cdot k -3\cdot k^{2}}}{2} < 2[/tex] (3)

By (2) we have:

[tex]k + 1 + \sqrt{33-2\cdot k -3\cdot k^{2}} > 4[/tex]

[tex]\sqrt{33 -2\cdot k - 3\cdot k^{2}} > 4 - (k + 1)[/tex]

[tex]33 - 2\cdot k -3\cdot k^{2} > [4 - (k+ 1)]^{2}[/tex]

[tex]33 - 2\cdot k -3\cdot k^{2} > 16 -8\cdot (k+1)+(k+1)^{2}[/tex]

[tex]33 - 2\cdot k - 3\cdot k^{2} > 16-8\cdot k -8 + k^{2}+2\cdot k + 1[/tex]

[tex]33 - 2\cdot k -3\cdot k^{2} > 9 -6\cdot k + k^{2}[/tex]

[tex]0 > 4\cdot k^{2}-4\cdot k -24[/tex]

[tex]4\cdot k^{2}-4\cdot k -24< 0[/tex]

[tex]4\cdot (k^{2}-k-6) < 0[/tex]

[tex]k^{2}-k - 6 < 0[/tex]

[tex](k -3)\cdot (k+2) < 0[/tex]

The solution is:

[tex]k \in (-2, 3)[/tex]

Likewise, we get the following expression from (3):

[tex]k^{2}-k - 6 > 0[/tex]

[tex](k -3)\cdot (k + 2) > 0[/tex]

The solution is:

[tex]k \in (-\infty, -2)\,\cup\,(3, +\infty)[/tex]

The number of non-positive integral values of [tex]k[/tex] are contained in the following set:

[tex]S_{k} = \{-1, 0\}[/tex]

Solve the system of equations using substitution or graphing.
y= -x2 + 4x + 5
y= x + 1
OA) (-1,0) and (6,7)
OB) (-1,0) and (4,5)
C) (1, 2) and (4,5)
D) (1, 2) and (6,7)

Answers

The correct answer is (-4, -3)

Help on this pls ?????????

Answers

Answer:

8u =32 this is the equation

Answer and Step-by-step explanation:

8u = 32 is the answer.

This is because there are eight U's, and it is equal to 32.

#teamtrees #PAW (Plant And Water)

Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line 4x + 9y - 2 = 0 (let x be the independent variable and y be the dependent variable.

Answers

Answer:

y = 9/4x -1/2

Step-by-step explanation:

4x + 9y -2=0

solve for y: 4x-2=-9y

(4x-2)/-9 =  

y =4/-9x-2/9

perpendicular means reciprocal of slope. So 4/-9 changesz to 9/4

For the point plug in y and x:

9/4*2+b=4

b = -0.5

I attached graph as proof

Write the equation in either slope-intercept or point-slope form for the
line that goes through (1,1) and (3,-5). *

Answers

Answer:

y = mx + b

m = (-5-1)/(3-1)

m = -3

1=(-3)1 + b

b= 4

y= -3x + 4

Cab 1 charges $1 per kilometer. Cab 2 charges $0.50 per kilometer and a $4 base charge. Solve for the value of k(kilometers ) that the 2 cab companies would cost the same.

Answers

Answer:

k=8

Step-by-step explanation:

Cab 1 : 1/km

Cab2: 0.5 /km with Base charge =4

x=0.5 x+4

x-0.5x=4

0.5x=4

4/0.5=x

x=8

Assume x=k

k=8

A sample of experienced typists revealed that their mean typing speed is 87 words per minute and the median typing speed is 73 words per minute. The standard deviation of typing speed is 16.9 words per minute. What is the Pearson coefficient of skewness

Answers

Answer:

The Pearson coefficient of skewness is of 0.8284.

Step-by-step explanation:

Pearson skewness:

The skewness of a data set is given by the subtraction of the mean by the median, divided by the standard deviation.

In this question:

The mean is of 87, the median is of 73 and the standard deviation is of 16.9. So

(87-73)/16.9 = 0.8284.

The Pearson coefficient of skewness is of 0.8284.

You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box. The base of the box measures 10 inches by 9 inches and the slant height is 6 inches. How much paper do you need to wrap the box

Answers

Answer:

2826  inches^2

Step-by-step explanation:

The general formula for the total surface area of a regular pyramid is

T.S.A.=12pl+B

Where p represents the perimeter of the base, l the slant height and B the area of the base.

The perimeter of the base is.  

p=2L+2W

P=2*10+2*9

P=20+18

P= 38  inches

The area of the base is.

B=10*9

B=90in^2

T.S.A.=12(38)(6)+90              

T.S.A=2736+90

T.S.A=2826  inches^2

Hence the paper needed is 2826  inches^2

Which of the following statements best describes the difference between net income and gross profit? a. Gross profit considers operating expenses while net income does not. b. Net income considers operating expenses while gross profit does not. c. Gross profit deducts taxes while net income does not. d. Net income deducts taxes while gross profit does not. Please select the best answer from the choices provided A B C D

Answers

D. Yeah I’d say D since Gross profit does actually include operating expenses.

Answer:

its b

Step-by-step explanation:

edg 20/21

18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?

Answers

Answer:

the number of days when instructor do the work alone is 8 days

Step-by-step explanation:

Given that

The apprentice can do the work in 24 days

And, the apprentice and  instructor together can do it in 6 days

We need to find out the number of days when instructor do the work alone

So,

[tex]= \frac{1}{6} - \frac{1}{24} \\\\= \frac{4 - 1}{24} \\\\= \frac{3}{24} \\\\= \frac{1}{8} \\\\= 8[/tex]

hence, the number of days when instructor do the work alone is 8 days

If cose < 0 and cote > 0, then the terminal point determined by e is in:
A. quadrant 4.
B. quadrant 1.
C. quadrant 3.
D. quadrant 2.

Answers

I not sure……. You didn’t make sense but…… I think c
If not let me know please and sorry if it is wrong:)

If cos < 0 and cot > 0, then the terminal point is determined by

C. quadrant 3.

What are reference angles according to quadrats?We have I, II, III, IV quadrants.

In quadrant I the referece angle Ф is Ф.

In quadrant II the referece angle Ф is (π - Ф).

In quadrant III the referece angle Ф is (π + Ф).

In quadrant IV the referece angle Ф is (2π - Ф).

We know, cos is -ve on III and IV quadrants, and cot = 1/tan is +ve on I and III quadrant.

Therefore, The combined condition cos < 0 and cot > 0 satisfies on the II quadrant.

learn more about quadrants here :

https://brainly.com/question/7196312

#SPJ7

Resuelve el siguiente ejercicios de porcentaje:
¿32 representa el 64% de qué número?

Answers

Answer:

50

Step-by-step explanation:

32/0.64 = 50

Maya wants to determine the area of a circle. She uses a compass and ruler to draw a circle that has a radius of r. She then inscribes a regular octagon within the circle, as shown above. The octagon is divided into 8 congruent triangles, and each of the 8 interior angles measure 45°.

She then labels the height and base of one of the triangles within the circle. She labels the height h, and the base, b.

She then makes three claims about her work.

Determine whether each claim Maya makes is correct. Select True or False for each claim.

Answers

Answer:

1st one is true, 2nd is true and 3rd is false

Step-by-step explanation:

The time needed to complete a final examination in a particular college course is normally distributed with a mean of minutes and a standard deviation of minutes. Answer the following questions. a. What is the probability of completing the exam in one hour or less (to 4 decimals)? 0.0228 b. What is the probability that a student will complete the exam in more than minutes but less than minutes (to 4 decimals)? .2858 c. Assume that the class has students and that the examination period is minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to nearest whole number)?

Answers

Answer:

a. This probability is the p-value of Z when X = 60.

b. This probability is the p-value of Z when X = B subtracted by the p-value of Z when X = A.

c. The proportion is the p-value of Z when X is the length of the examination period. How many students is this proportion multiplied by the number of students.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].

a. What is the probability of completing the exam in one hour or less (to 4 decimals)?

This probability is the p-value of Z when X = 60.

b. What is the probability that a student will complete the exam in more than minutes A but less than B minutes (to 4 decimals)?

This probability is the p-value of Z when X = B subtracted by the p-value of Z when X = A.

c. Assume that the class has students and that the examination period is minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to nearest whole number)?

The proportion is the p-value of Z when X is the length of the examination period. How many students is this proportion multiplied by the number of students.

Factor the polynomial

x^3-3x^2+x

Answers

Answer:

Solution given:

x³-3x²+x

taking common

x(x²-3x+1)

is a required answer.

pioneers are buying mules to trek across the country. each of the 5 wagons require e mules to pull them. write the equation to express the relationship between the total mules d they need to and all the wagons. x=1y

Answers

Answer:

d = 5e

Step-by-step explanation:

Number of wagons = 5

Number of miles per wagon = e

Total number of mules = d

Hence, relationship between total mules d needed will be ;

Total mules = number of wagons * Numbe rof mules per wagon

d = 5e

How do i make a form with a formule
look at the picture bellow
can somebody tell me HOW to do it?
thanks!

Answers

You have an equation and a table with the x value given.

Replace x in the formula with the x value in the table and solve for y.

y = x^2 + 1

y = (-3)^2 + 1 = 9+1 = 10

y = (-2)^2 +1 = 4+1 = 5

y = (-1)^2 +1 = 1+1 = 2

y = (0)^2 + 1 = 0+1 = 1

y = (1)^2 +1 = 1+1 = 2

y = (2)^2 +1 = 4+1 = 5

y = (3)^2 +1 = 9+1 = 10

find the value 3sin²60 + cot²30​

Answers

Answer:

21/4

Step-by-step explanation:

3sin²60 + cot²30​

sin 60 = √3/2

cot 30​ = √3

Substituting values in equation,

3(√3/2)² + (√3)²

=> 3(3/4) + 3

=> 9/4 + 3

=> 9/4 + 12/4

=> 21/4

What is the sign for inches “


Answers

″ this is the sign for inches. (in)

′ this is the sign for feet. (ft)
So if someone is 6 feet 2, it’s 6′ 2″

Evaluate the following complex expression. (4+ i) 2= + i (-4 i)(3 i)= i 3(9- i)= - i (5+2 i)(3-7 i)= - i (8+5 i)+2(3 i-4)= i (4+6 i)-(-4- i)= + i

Answers

Answer:

Operations on Complex Numbers (page 2 of 3) ... Simplify (2 – i)(3 + 4i). (2 – i)(3 + 4i) = (2)(3) + (2)(4i) + (–i)(3) + (–i)(4i). = 6 + 8i – 3i – 4i2 = 6 + 5i – 4(–1) ... exact same techniques for simplifying complex-number expressions as you do for polynomial ... Suppose you have the following exercise:

Step-by-step explanation:

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

It’s the last one which is 33%

Answer:

33% of the people preferred onions

can i get brainliest now lol

Which equation is true?

Answers

Answer:

The third option

Step-by-step explanation:

[tex]\frac{-56}{8} = -7[/tex]

(-56/8)=-7 this is the correct equation because it’s just 56 divided by 8 (it’s 7) and the negative gets carried over

Rewrite the expression using exponents.
7 • 4 • 4 • 4

(Type whole numbers.)

Answers

Answer: 7×4³

Step-by-step explanation:

Answer:

7 x 4³

Step-by-step explanation:

using exponents to my understanding,

the answer vis supposed to be;

7 x 4³

A collection of books is set up into 34 rows. The first row has 96 books, and each row after that one
has 2 less books than the preceding row. (a) How many total books are there in the structure and (b)
how many books are in the 17th row?

Answers

Answer:

Part A: 3197

Part B: 62

Step-by-step explanation:

Part A: To make this easier just multiply 96 books by 34 rows which is 3264 books, but then since you are taking away 2 books for every row, multiply 2 by the 34 rows which is 68 but since the first row starts at 96 we will take away 1 row from the 68 which is 67. Then subtract 67 from the 3264 books and get 3197 books.

Part B: To make this easier just multiply 17 by 2 since we know for every row, 2 books are taken away and that equals 34 so subtract 34 from 96 and get 62.

Answer:

a(17) = 64

Step-by-step explanation:

you can create an arithmetic sequence formula as follows:

a(n) = a(1) + d(n-1)   where a(1) is the first value and d is the common difference

a(17) = 96 -2(17-1)

a(17) = 96 - 32

a(17) = 64

Which numbers are rational?

Select each number that is correct.

23.429

10

13

151

8/7

-4.93

Answers

Answer:

All of them.

Step-by-step explanation:

Rational numbers are defined as the numbers that can be expressed as the ratio of two integers(a/b) where b must be a non-zero number. The rational numbers display a terminating characteristic and they also contain repeating, as well as, recurring digits. All the given numbers are rational as they can be written in the form of p/q.

23.429 = It can be written as a fraction. So, it is a rational number.

10 = 10 is a whole number and it can be written in the form of a/b i.e. 10/1. So, it is a rational number.

13 = 13 also can be written in ration form as 13/1. Therefore, it is also a rational number.

151 = It can be written as 151/1. Hence, it is a rational number.

8/7 = It is already mentioned in the form of a/b. So, it is a rational number.

-4.93 = since it is an integer, it will surely be a rational number.

A theater sells adult tickets for $11 and child tickets for $6. At one show, the theater sold 180 tickets and received $1740.
How many adult tickets were sold? Enter the answer in the box.

Answers

Make a system of equation
A = adult, C = child
Total tickets = 180
Total cost = $1740
A + C = 180
11A + 6C = 1740
Use any method
I will use elimination
(A + C = 180) * 6
6A + 6C = 1080
11A + 6C = 1740
Subtract both sides
-5A = -660, A = 132

Solution: 132 adult tickets

Express ( 3/2x-2)^2

as a trinomial in simplest form.

Answers

Answer:

9/4x^2 - 6x +4

Step-by-step explanation:

( 3/2x-2)^2

(3/2x-2)(3/2x-2)

9/4x^2 - 3x - 3x +4

9/4x^2 - 6x +4

3/2 x 2 = 6/2 = 3

Step-by-step explanation:

( 3/2x-2)² = 9/4 x²- 6x +4

please help me do this question​

Answers

Answer:

2/10

Step-by-step explanation:

Im pretty sure its 2/10

have a great day:)

What is 787,452 rounded to the nearest ten thousand?

Answers

Answer:

790000

Step-by-step explanation:

Answer:

790,000

Step-by-step explanation:

Other Questions
Please help me with this! Pls help me! Thanks! A block of aluminium of density 7900 kg/m3 has a volume of 250 cm. Find themass of the block. What are all the solutions to p2 =9/36 Name the ways in which a court order can compel specific performance as a remedy for breach of contract? help plssssssaaaaaaaaaaaaaaa Which of the following statements about the mapping is not true? how can you show dynamism in order that you enrich yourself and others? Describe two ways to write 7/3 as a mixed number EASY BRAINLIEST PLEASE HELP!!-if you answer correctly ill give you brainliest which will give you 100pts-(if you put links or don't answer accordingly im reporting your account) the reciprocal of __________is -3/8. David is driving a steady 30.0 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.10 m/s2 at the instant when David passes. Part A How far does Tina drive before passing David Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form Which outermost layer of the skin contains the hair and nails?the hypodermisthe dermisthe epidermisthe hyperdermis Five boys each have 8 marbles. If alltheir marbles are collected and placedinto8heaps, how many marbles will there be in each jeap ? A rectangular prism has the following dimensions.length: 8 cmwidth: 13 cmheight: 10.5 cmIf all the dimensions of the prism are doubled, what will be its new surface area?1,298 cm24,192 cm22,596 cm24,368 cm2 What fraction is equivalent to 12/48 As the American Yawp mentioned in chapter 24, how did Germany and Japan respond to the economic crisis of the 1930s? a. Each sought to control other territories -- Germany to gain land and Japan to gain natural resources. b. Each worked through the economic downturn through international organizations such as the IMF and World Bank. c. Each set up a welfare system that was based on democratic politics. d. Since neither believed in deficit spending, each raised taxes within their states in order to fund aid to the poor. A person buys X in one market and combines it with Y purchased in another market. The combination of X and Y gives Z, which the person sells in a third market for a higher price than the sum of the prices of X and Y. Which theory of profit is most consistent with this example What is the process fatsneed to undergo beforebecoming readily availableenergy in our body?A. Fats must dissolve in water.B. Fats must be broken down andturned into phospholipids.C. Fats must fill up with energy beforeit can be exerted.D. Fats must convert intocarbohydrates.