Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The results are shown in the table below. Highest Level of Education Completed Education Level Percentage High School 5% Community College 10% Four-Year College 60% Graduate School 25% Two-hundred sixty people completed the survey. How many of those people completed graduate school?

Answer:

[tex]\displaystyle -\frac{4}{13},~-\frac{3}{13},~-\frac{1}{13},~0[/tex]

Step-by-step explanation:

Rational Numbers

The rational numbers are defined as numbers of the form [tex]\frac{a}{b}[/tex] where a and b are integer numbers and b is not zero.

Two rational numbers expressed as fractions can be better compared if they have the same denominator. For example, 5/11 is greater than 3/11 because they have the same denominator and 5 is greater than 3.

Similarly, if we have the fractions -5/13 and 1/13, it's clear that the first fraction is less than the second. If we wanted to have some rational numbers between them we only have to play around with the numerators: any number between -5 and 1 will do.

Examples of the required numbers:

[tex]\displaystyle -\frac{4}{13},~-\frac{3}{13},~-\frac{1}{13},~0[/tex]

Answer:

43.75

Step-by-step explanation:

It you want to find the speed of the cat, all you have to do is divide 35 by 0.8.

Answer:

it's 10 all you had to do was count the boxes from a to b

Step-by-step explanation:

Answer:

and mean another questions

Answer:

add

Step-by-step explanation:

for example two and two makes

Answer:

$25.2

Step-by-step explanation:

Because 20% of $125.99 is 25.198 and if you round that number to the nearest cent you get 25.2.

Have a fantastic day!!!!!!!!!!!!!!

Answer:

option 1

Step-by-step explanation:

hope that helps you :)

Answer:

y>/ 2x -4

Step-by-step explanation:

This >/ means the line underneath

Answer:

The answer is

[tex] \huge - \frac{7}{4} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{17 - 10}{ - 2 - 2} = \frac{7}{ - 4} = - \frac{7}{4} \\ [/tex]

We have the final answer as

[tex] - \frac{7}{4} \\ [/tex]

Hope this helps you

Answer:

9

Step-by-step explanation:

f(1/2)=8+2(1/2)

f(1/2)=8+1

f(1/2)=9

Answer:

f ( 1/2 ) = 9

Step-by-step explanation:

Step 1:

f ( x ) = 8 + 2x          Function

Step 2:

x = 1/2              Given

Step 3:

f ( 1/2 ) = 8 + 2 ( 1/2 )        Input x value

Step 4:

f ( 1/2 ) = 8 + 1        Multiply

Answer:

f ( 1/2 ) = 9

Hope This Helps :)

Answer:

u = -5/9

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-3(u + 2) = 5u - 1 + 5(2u + 1)

Step 2: Solve for u

Step 3: Check

Plug in u into the original equation to verify it's a solution.

Here we see that -13/3 does indeed equal -13/3.

∴ u = -5/9 is a solution of the equation.

Answer:

[tex] \sf u = -\dfrac{5}{9} [/tex]

Step-by-step explanation:

Expand the following:

[tex] \longrightarrow [/tex] -3(u + 2) = 5u - 1 + 5(2u + 1)

5(2u + 1) = 10u + 5:

[tex] \longrightarrow [/tex] -3(u + 2) = 5u - 1 + 10u + 5

-3(u + 2) = -3u - 6:

[tex] \longrightarrow [/tex] -3u - 6= 10 u + 5 u - 1 + 5

Grouping like terms,

5u - 1 + 10u + 5 = (5u + 10u) + (-1 + 5):

[tex] \longrightarrow [/tex] -3u - 6 = (5u + 10u) + (-1 + 5)

5u + 10u = 15u:

[tex] \longrightarrow [/tex] -3u - 6 = 15u + (-1 + 5)

5 - 1 = 4:

[tex] \longrightarrow [/tex] -3u - 6 = 15u + 4

Subtract 15 u from both sides:

[tex] \longrightarrow [/tex] (-3u - 15u) - 6 = (15u - 15u) + 4

-3u - 15u = -18u:

[tex] \longrightarrow [/tex] -18u - 6 = (15u - 15u) + 4

15u - 15u = 0:

[tex] \longrightarrow [/tex] -18u - 6 = 4

Add 6 to both sides:

[tex] \longrightarrow [/tex] (6 - 6) - 18u = 6 + 4

6 - 6 = 0:

[tex] \longrightarrow [/tex] -18u = 4 + 6

4 + 6 = 10:

[tex] \longrightarrow [/tex] -18u = 10

Divide both sides of -18 u = 10 by -18:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{-18u}{-18}= \dfrac{10}{-18} [/tex]

[tex] \sf \dfrac{-18}{-18}=1: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf u = \dfrac{10}{-18} [/tex]

[tex] \sf \dfrac{10}{-18}=\dfrac{5}{-9}: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf u = \dfrac{5}{-9} [/tex]

Multiply numerator and denominator of [tex] \sf \dfrac{10}{-18} [/tex] by -1:

[tex] \longrightarrow [/tex] [tex] \sf u = \dfrac{-5}{9} [/tex]

Answer:

The dependent variable is the hour.

Answer:

The required probability = 0.9345

Step-by-step explanation:

Given that:

p = 0.17

n = 6

The required probability that two or less light bulbs are defective = (P<2)

(P<2) = P(X=0) +P(X=1) +P(X=2)

[tex](P<2) =\bigg [ ({^6C_0}\times 0.17^0 \times (1-0.17)^{6-0})+ ({^6C_1}\times 0.17^1 \times (1-0.17)^{6-1}) +( {^6C_2}\times 0.17^2 \times (1-0.17)^{6-2}) \bigg ][/tex]

[tex](P<2) =\bigg [ \dfrac{6!}{0!(6-0)!}\times 0.17^0 \times (1-0.17)^{6})+ (\dfrac{6!}{1!(6-1)!} \times 0.17^1 \times (1-0.17)^{5}) +( \dfrac{6!}{2!(6-2)! }\times 0.17^2 \times (1-0.17)^{4}) \bigg ][/tex]

[tex]\mathbf{(P<2) = 0.9345}[/tex]

Answer:

ksjnfkjabfjkbfkjbdkjfbjdbjbdsjvbsdhbcjhdbvhsdjv

Step-by-step explanation:

sorry I really need points-

Answer:

1+1=2

Step-by-step explanation:

1 as a single number plus another 1 as a single number is 2. like this:+=.

Answer:

389 people

Step-by-step explanation:

Step 1

we convert 1500 inches to feet

1 inch = 0.0833 feet

1500 inches = x feet

x = 1500 × 0.0833

x = 125 feet

Step 2

We create a proportion

Since it is on both sides

20/9ft × 10ft = x/7 feet × 125 feet × 2

20/90 = x/1750

Cross Multiply

90 × x = 20 × 1750

x = 20 × 1750/90

x = 35000/90

x = 388.88888889

approximately = 389 people

Answer:

scalene triangle

Picture:

(in attachment)

Answer:

poster board

Step-by-step explanation:

2Conditions:

-greatest number of 1 item

-still receive change

If you go for the cheapest items like pencil or eraser you will pay with $10 for

$0.10* 100items= $10 yet no change

If you go for second most cheapest pen $0.25 you can by

if you buy 4 pencils and each with $0.25 you will pay  $1

for $ 10 you can get 4*10 = 40 pencils yet no change

if you go for the third cheapest item is the poster board

$ 1.50*2= $3 so $1.50*6 =$9 and the change will be $10-9$ = $1

Answer:

x = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=3 because if you subtract 1 its 4x=12 which is 3

Answer:

try using percent decrease calculator

Step-by-step explanation:

maybe that'll help

Answer:

The answer is 20%

Step-by-step explanation:

5=100%

meaning if you decrease it by one each time it will look like this:

5=100%

4=80%

3=60%

2=40%

1=20%

so if it was decreased to four your answer is 20%

and you still have 80% remaining.

Answer:

[tex]+54[/tex]

Step-by-step explanation:

To solve this, you will need inverse operations to isolate the x. Since x is multiplied by 2/3, you want to divide it by 2/3. Since we always have to do the same thing to both sides, we will also divide 36 by 2/3.

[tex]\frac{2}{3}x = 36\\\\$\scriptsize{\div2/3\;\; \div2/3}\\[/tex]

[tex]\frac{2}{3} x \; \div \; \frac{2}{3} = x[/tex]

([tex]\frac{2}{3}[/tex] cancels out)

[tex]\frac{36}{2/3} = 54[/tex]

[tex]x = 54[/tex]

~[tex]InLoveWithPugs[/tex]

[tex]Moderator\\Math\;Enthusiast[/tex]

Answer:

∠1 = 124 degrees

Step-by-step explanation:

Vertical angles are always congruent

So ∠1  = ∠2

Answer:

Supplement of m∠1 = 56°

Step-by-step explanation:

Since both angles are vertical, they both equal to each other.

m∠2 = m∠1

        = 124°

To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.

Supplement of m∠1 = 180°-124°

                                 = 56°

Answer:

4x - 9y = 3

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

4x - 8 = 9y - 5 ( subtract 9y from both sides )

4x - 9y - 8 = - 5 ( add 8 to both sides )

4x - 9y = 3 ← in standard form

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{no \: solution}}}}[/tex]

Step-by-step explanation:

Remember that the equal terms on both side should be cancelled.

[tex] \dashrightarrow{ \sf{ \cancel{5x} \: - 7 = \cancel{ 5x }}}[/tex]

[tex] \dashrightarrow{ \sf{ - 7 = 0}}[/tex]

The statement is false for any value of x. It cannot be further solved! So , 5x - 7 = -5x doesn't have any solution.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

Answer:

A. Horizontal and slope is 0

B. Horizontal and slope is 0

C. Vertical and slope is undefined

D. Vertical and slope is undefined

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

A slope of a straight, horizontal line is 0 as it is not going up or down.

Answer:

B) 0

Step-by-step explanation:

When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.

y= ___ is slope of 0

x= ___ is slope of undefined