The mean age of 4 women in an office is 28 years old. the mean age of 4 men in an office is 30 years old. what is the mean age(nearest year) of all the people in the office?​

Answer:

x = 35.1 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos x = 27/33

Take the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1(27/33)

x =35.09680123

To the nearest tenth

x = 35.1 degrees

Answer:

x=35.1

Step-by-step explanation:

cos(x)=[tex]\frac{27^{2}+33^{2}-360 }{2(27)(33)}[/tex]

x=35.1(correct to the nearest tenth)

Answer:

5.3

Step-by-step explanation:

Answer:

The equation of parallel line passes through the point (−4,−6 ) is:

y = -6

Please also check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given that on a coordinate plane passes through (-8, 4) and (8, 4).

As the value of y remains the same for any value of x.

i.e. y = 4 for any value of x.

Thus, the given line is a horizontal line.

We know that the slope of a horizontal line is zero.

Also it is clear that at x = 0, the value of y = 4. In other words, we can observe that the y-intercept b = 4.

so substitutig m = 0 and b = 4 in the slope-intercept form

y = mx + b

y = 0x + 4

y = 4

Therefore, the equation of line passing through the point  (-8, 4) and (8, 4) is:

y = 4

Now, we also know that the slope of parallel lines is equal.

Thus, the slope of the line parallel to the line y = 4 is also 0.

As the parallel line passes through (−4,−6 ).

so substituting m = 0 and (-4, -6) in the slope-intercept form of line equation to determine the y-intercept b

y = mx + b

(-6) = 0(-4) + b

-6 = 0 + b

switching the sides

0 + b = -6

b = -6

Thus, the slope-intercept b = -6

now substituting m = 0 and b = -6 in the slope-intercept form of line equation

y = mx + b

y = 0(x) + -6

y = 0 - 6

y = -6

Therefore, the equation of parallel line passes through the point (−4,−6 ) is:

y = -6

Please also check the attached graph.

Answer:

1351

Step-by-step explanation:

Answer:

5 i believe correct me if im wrong

Step-by-step explanation:

To work this problem out you would do it as if it were just a simple equation

7x-19<16 (you would first have to add 19 to both sides)

7x<35 (then you would divide by 7 to get the variable by itself)

x<5 ( you answer would then be 5)

Answer:

Its B, Black males over 21 years of age

Answer:

b

Step-by-step explanation:

Answer:

-6 +3= -3

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Answer:

16x - 9 is the expression

Step-by-step explanation:

2x + 2x = 4x co effecients with the same variables can be added then I multiplied 4x by 4x which would 16x then later got the expression (16x - 9).

Answer:

Step-by-step explanation:

[tex]step - 1 : define[/tex]

[tex] \frac{a}{b} - {a}^{b} [/tex]

[tex]step - 2 : \\ substitute \: the \: given \: value \: of \: a \: and \: b \: into \: the \: equation[/tex]

[tex]step - 3 : simplify [/tex]

[tex] \frac{ 9 }{2} - {9}^{2} [/tex]

[tex] \frac{9}{2} - 81[/tex]

[tex] \frac{9 - 162}{2} [/tex]

[tex] - \frac{153}{2} [/tex]

[tex] - 76\frac{1}{2} [/tex]

Answer:

A

Step-by-step explanation:

Since we have y = 5, the only y value on the question that equals 5 is A.

Answer:

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

Step-by-step explanation:

As given, Total length of the board = 29 ft

Let the board is divided into 3 pieces

Suppose that the length of first piece = x ft

As given, the second piece is 4 times longer than the first

⇒Length of second piece = 4x ft

Also given, the third piece is 3 times longer than the second.

⇒Length of third piece = 3(4x) = 12x ft

Now,

As total length of board = 29

⇒ x + 4x + 12x = 29

⇒ 17x = 29

⇒ x = [tex]\frac{29}{17}[/tex] = 1.7058823 ft

∴ we get

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

Answer:

I dont understand

Step-by-step explanation:

Answer:

4xy

Step-by-step explanation:

2 x 2 = 4, then just plop the x and y down, and there's your answer

Answer:

A Kite

Step-by-step explanation:

I know, almost 2 years late. It's a kite and I don't know why.

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

Answer:

3. 6

Step-by-step explanation:

X - y = 4 ( Equation 1 )

X + y =8 ( Equation 2 )

equation 1 + equation 2

; 2x = 12

x = 12÷2

x =6

hope it helps ☺️

Answer: n=6

Step-by-step explanation:

Answer:

= 10y − 6 is your answer

Step-by-step explanation:

option B is correct, 25y²-30y+9 is the product of (5y − 3)².

The combination of numbers, variables, and operators is known as Expression.

The given expression is (5y − 3)²

The process of determining the product of two or more numbers is Multiplication.

The expression is five times of y minus three to the power of two.

From algebraic identity we have (a-b)²=a²+b²-2ab

Now (5y − 3)²

(5y)²+3²-2(5y)(3)

25y²+9-30y

Twenty five y to the power of two plus nine minus thirty times of y.

25y²-30y+9 is the expression after product of  (5y − 3)².

Hence, option B is correct, 25y²-30y+9 is the product of (5y − 3)².

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Which of the following is the product (5y − 3)2?

A. 10y − 6

B. 25y2 − 30y + 9

C. 25y2 − 9

D. 25y2 + 30y − 9

Answer: a) 0.0125  b) 0.1454 c) Mean = 5.7, standard deviation = 1.73

Step-by-step explanation:

Let x = Number of children say that chocolate chip cookie is their favorite kind of cookie.

x follows binomial distribution.

Binomila distribution formula:

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where p = probability in each trial, n = sample size, x= number of successes

Sample size : n= 12, p=0.475

a)

[tex]P(x\geg10)= P(x=10)+P(x=11)+P(x=12)\\\\=\ ^{12}C_{10}(0.475)^{10}(1-0.475)^{2}+^{12}C_{11}(0.475)^{11}(1-0.475)^{1}+^{12}C_{12}(0.475)^{12}(1-0.475)^{0}\\\\=\dfrac{12!}{2!10!}(0.475)^{10}(0.525)^{2}+(12)(0.475)^{11}(0.525)^{1}+(1)(0.475)^{12}\\\\\approx0.0125[/tex]

b)

[tex]P(x=4)= ^{12}C_{4}(0.475)^4(0.525)^{8}\\\\=\dfrac{12!}{4!8!}(0.000293798)\\\\=0.1454[/tex]

c) Mean = np

= (12)(0.475) =5.7

Standard deviation = [tex]\sqrt{np(1-p)}[/tex]

[tex]=\sqrt{12\times0.475\times0.525}\\\\=\sqrt{2.9925}\approx1.73[/tex]

Answer:

3x

x

+

2

x

−

(5)(8)x

x

+2

=

−35x+2

x

Step-by-step explanation:

Answer:

ray walks 3/8th of a mile

Step-by-step explanation:

1/4 multiplyed by 2/3 and you will get 3/8

Answer:

62.5% of the parking spaces are taken.

Step-by-step explanation:

Given

To determine

What percent of the parking  spaces are taken?

The percentage of taken spaces of the part can be determined using the formula

% of Taken spaces = [Taken spaces / Total Spaces ] × 100

                               = [1875 / 3000] × 100

                               = 0.625 × 100

                               = 62.5%

Therefore, 62.5% of the parking spaces are taken.

Answer:

12v-18y-48

Step-by-step explanation:

-6(-2v+3y+8)

12v-18y-48

Answer:

X = -14

All you have to do is type in 2(x+5)=(x-4) in to a algebra calculator and you will get -14

Answer:

4

Step-by-step explanation:

3 1/2= 3.5

5 rounds up, so it'll be 4

Answer:

4 hope this helps

Answer:

44

Step-by-step explanation:

i did 4 + 40 = 44 :)))))