The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 7148 employees at the company and wants to conduct a systematic sample of size 70.

Answer:

(i) 2197

Step-by-step explanation:

(i) 13^3

=  (10+3)^3

=  10^3 + 3^3 + 3(10)(3) (10+3)

=  1000 + 27 + 90(13)

=  1027 + 1170

= 2197

Answer:

(0, -28)

Step-by-step explanation:

Midpoint coordinates are equal to average of the value of endpoint coordinates.

One of End points is T (6,12), the other one is S (x, y) and the midpoint is (2, -8)

So midpoint formula applied to both coordinates:

Point S has coordinates of (0, -28)

Answer:

z=7

Step-by-step explanation:

8(z-5)=16

Divide by 8

8/8(z-5)=16/8

z-5 = 2

Add 5 to each side

z-5+5 = 2+5

z = 7

Answer:

z = 7

Step-by-step explanation:

Expand 8 ( z - 5 ) = 16 first.

8z - 40 = 16

Move 40 to the other side.

8z = 40 + 16

8z = 56

z = 7

Answer:

40

Step-by-step explanation:

This is the answer because:

1) Whenever you are multiplying negative integers, remeber these rules:

Negative x Positive = Negative

Positive x Negative = Negative

Negative x Negative = Positive

Positive x Positive = Positive

2) Since -5 and -8 are both positive numbers, the answer will be a positive product:

5 x 8 = 40

Therefore, the answer is 40.

Hope this helps! :D

Answer:

D

Step-by-step explanation:

EdgeCourseWare 2021

Answer:

Let's write two linear equations:

For the Xbox, we have:

Price per console (you pay it only once) = $150.

Price per game = $24

Then, the total price if you buy x games, you have:

P1(x) = $150 + $24*x

For the Playstation we have:

Price per console (again yo pay it only once) = $180

Price per game = $20

So if you buy x games, the total price is:

P2(x) = $180 + $20*x.

Now, we can find the number x such that both prices are equal

P1(x) = P2(x)

$150 + $24*x =  $180 + $20*x.

let's solve this for x.

$24*x - $20*x = $180 - $150

$4*x = $30

x = $30/$4 = 7.5

What does this mean?

If you buy less than 7.5 games (7 or less) then the Xbox will be cheaper, because the y-intercept is smaller.

If you buy more than 7.5 games (8 or more) then the Playstation will be cheaper, because the price per game is smaller.

Answer:

reflexive

Step-by-step explanation:

memorize it as the equal sign is a mirror that reflects so its the same!

Answer:

1/8

Step-by-step explanation:

Answer:

Yes that is correct

Answer:

x = 19

Step-by-step explanation:

-8 + 22 = 13x - 5 - 12x​

switch sides

13x - 5 - 12x = -8 + 22

group like terms

13x - 12x = -8 + 22 + 5

simplify:

x = 19

Answer:

angle AOC=85

also

angle AOC = angle AOB + Angle BOC

85= 2x+10+4x-15

or, 6x= 90

x=15

BOC=2x+10= 2*15+10=40

angle AOB = 4x-15=4*15-10=5=45

Given :

In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.

When the lake warms up in the summer, the trout swim 20 feet deeper than that , d = 20 feet .

To Find :

At what position relative to sea level do the trout swim in the summer.

Solution :

Depth in spring from surface , [tex]D_s=30\ feet[/tex] .

Let , depth in summer is D .

Now , depth in summer relative to sea-level is :

[tex]D=D_s+d\\\\D=30+20\ feet\\\\D=50\ feet[/tex]

Therefore , trout swim 50 feet deep below the sea level in the summer .

Hence , this is the required solution .

Answer:

-50

Step-by-step explanation:

bcuz it is

Answer:

3<x+12

Step-by-step explanation:

Hey there! I'm happy to help!

We see that points A and B are on the same horizontal line, and and they are 10 units apart. C and D are on their own horizontal line and they are also 10 apart. This means that this is a square, so we multiply one side by itself

10²=100

The area is 100 square units.

Have a wonderful day! :D

A signed number to represent a given population change is -43,000.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Since the population of a certain city decreased by 43,000 people.

The negative sign indicates that the population decreased, which means there was a decrease in the quantity of 43,000 people.

Thus, we can population change is shown by -43,000.

Hence, a signed number to represent this population change is -43,000.

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Answer:

23 percent

Step-by-step explanation:

The percentage of females who are freshmen or sophomores will be 50%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

The frequency table shows the distribution of 1,200 students at a high school.

The frequency table is given below.

Then the percentage of females who are freshmen or sophomores will be

P = (134 + 162) / 592 x 100

P = 296 / 592 x 100

P = 0.5 x 100

P = 50%

Thus, the correct option is B.

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Answer:

c

Step-by-step explanation:

Answer:it's c

Step-by-step explanation:

Answer:

x = 3 , y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3 , y = 1

[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]

[tex]\hrulefill[/tex]

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:

[tex]-2x+7=x-2[/tex]

Add [tex]2x[/tex] to both sides of the new equation:

[tex]7=3x-2[/tex]

Now add [tex]2[/tex] to both sides of the equation:

[tex]9=3x[/tex]

Divide both sides by [tex]3[/tex]:

[tex]\boxed{3}=x[/tex]

Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:

[tex]y=3-2[/tex]

Simplify using subtraction:

[tex]y=\boxed{1}[/tex]

This means our solution is:

[tex]\large\boxed{(3, 1)}[/tex]

Answer:

25%

Step-by-step explanation:

There are 4 cards. Each one is a different number.

Only one card is a 9.

p(9) = 1/4 = 0.25 = 25%

The intersection of the plane X and plane Y is line CQ.

A plane is a two-dimensional flat surface in geometry. It has no thickness and goes on forever.

Here, we have two planes, X and Y.

There will always be a line at the intersection of two planes.

The planes should intersect in a straight line as long as they are not parallel.

Let CQ be the extended line of CB.

And here we have line CQ.

Which is the intersection of the planes.

Therefore, line CQ is the intersection of the planes X and Y.

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Answer:

Amanda read 4 for than Melissa.

Step-by-step explanation:

Amanda read 20 and Melissa read 16. 20-16=4.

Answer:

5 x 4 – 4 x 4; Amanda read 4 more books than Melissa

Step-by-step explanation:

"How many more" means to subtract the products, not add them. Also, do the multiplication first before you subtract.

Answer:

D) 2a-6

Step-by-step explanation:

Graham sold 6 less = -6

Than double what Adriania sold. = 2a

2a - 6

Answer:

Yes, the answer is -972786042517719014174576083150881262357

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

-9.7278604e+38

thats what it would equel

Answer:

7

Step-by-step explanation:

9+7=16

Answer: 7

Step-by-step explanation: Sure you do

Answer:

The answer to your question is 8.666666666666.

The total numerical length of the segment JL is 6 units.

Given that,
Point K is online segment JL.
JK = 5x + 7,
JL = 2x + 8, and KL= 4
To determine the numerical length of JL.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
For point K on the line segment JL,
JL = JK + KL
from given,
2x + 8 = 5x + 7 + 4
5x -2x = 8 - 11
3x = -3
x = -1

Now,
JL = 2x + 8
JL = 2 * -1 + 8
JL = 6

Thus, the total numerical length of the segment JL is 6 units.

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Answer: C. Point M

Step-by-step explanation:

Answer:

Vertical Angles

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross.

It is found that angle 2 and angle 1 are vertically opposite angles.

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Thus, Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

Also, When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.

WE have to Classity 2 and 1 using all relationships that apply.

Therefore, we can see that angle 2 and angle 1 are vertically opposite angles.

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