In a recent survey of college-educated adults, 324 indicated that they regularly work more than 45 hours a week. If this represents 36% of those surveyed, how many people were in the survey

Answer:

1 /4 ( x+11 )

Step-by-step explanation:

Factor  1 /4  out of each term.

Answer:

a) A = (5, 1), b) A = (1,11)

Step-by-step explanation:

given A is (2,3), question a is represented by a shift of this point 3 units to the right, and 2 units down which means (x,y) → (x +3, y - 2) or T(3,-2)(x,y). (2,3) → (x + 3, y - 2) = (2 + 3, 3 - 2) = (5, 1).

Question b represents a shift of this point one unit to left, and 8 units up which is represented by (x,y) → (x -1 , y + 8) or T(-1,8)(x,y).

(2,3) → (x - 1, y + 8) = (2 - 1 , 3 + 8) = (1, 11).

Answer:

(a)7.185

(b)0.000371

(c) 0.019

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

The 1st term is 60.

Add 50 to this to get the 2nd term, 60 + 50 = 110.

Add 50 to that to get the 3rd term, 110 + 50 = 160.

Add 50 to that to get the 4th term, 160 + 50 = 210.

And so on...

Notice that in the 2nd term, we added 1 copy of 50 to the 1st term.

In the 3rd, we ultimately added 2 copies of 50 to the 1st term.

In the 4th, we added 3 50s.

And so on... If the pattern continues, then the n-th term can be obtained by adding (n - 1) copies of 50 to the first term.

So, the 100th term is

60 + (100 - 1) * 50 = 5010

Answer:

The quotient is : x+9

The remainder is : 13

Step-by-step explanation:

The question requires you to perform the long division method;

This will be;

[tex]x-2\sqrt{x^2+7x-5}[/tex]

start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;

x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x

    -  x²-2x+0 ------------perform subtraction of like terms

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

            9x-5  ----now divide this answer by x-2 ,starting with x and 9x

----------------------This will give , 9 then multiply  9 by x-2 to get 9x-18 and perform the subtraction operation as;

             9x-5

      -      9x-18

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

                     13

So the answer will be; x+9 remainder 13

Answer: the answer would be15%

Step-by-step explanation:

Answer

3

Step-by-step explanation:

(4-1)^2+(8-8)^2=9

square root of 9 is 3

Answer:

x= 12

Step-by-step explanation:

I got it right on edge

Answer:   Part A: Noah eats 10/8's. Or 1 and 2/8's if you have to simplify.

Part B: Draw the circles and cut them into 8 slices and color in two of each.

Part C: So if Jessica ate half of what Noah eats, she only ate 5/8's of pizza.

Part D: Noah and Jessica together ate 15/8's of pizza or if you want to simplify, 1 and 7/8's of pizza. There is 25/8's of pizza left, or 25 pieces left. And the remaining friends ate 1/5 of the remaining pizza which was 25 pieces. So, they ate 5 pieces.  So they ate 5/8's of the remaining pizza.

Step-by-step explanation:

I think this might be your answer. Double check to make sure i am not wrong.

0.06 is 10 times 0.006; 0.06 = 10 * 0.006

You can find this by solving 0.06/10 = 0.006

Answer:

2nd option

Step-by-step explanation:

2 parts ginger ale to 3 parts raspberry juice

Answer:

It means that states that the three interior angles of any triangle add up to 180 degrees.

Have A Nice DAY!!!!!!

:-)

Answer:

The temperature in Miami is 9/5 times the temperature in San Diego.

Step-by-step explanation:

Ratios

To compare the temperature in Miami (45) with the temperature in San Diego (25), we use the division or ratio between both numbers:

[tex]\displaystyle \frac{45}{25}[/tex]

Simplify the fraction dividing by 5:

[tex]\displaystyle \frac{9}{5}[/tex]

Since the relation between them is 9/5, it means the temperature in Miami is 9/5 times the temperature in San Diego.

Answer:

Step-by-step explanation:

x2 + 10x + 25

x2 + 5x + 5x + 25

x (x + 5) + 5(x + 5)

(x + 5) (x + 5)

Answer:

Parallel

Step-by-step explanation:

The have equal slopes

idk i am in 6th grade idk

Answer:

-11

Step-by-step explanation:

Answer:

9660 kn per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is incomoplete. Here is the complete question.

The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at 5km, 20km and 100km

T(d)=10d + 20

T(5)=10(5) + 20

T(5)=  50+ 20

T(5) = 70

Hence the temperature is 70 when d = 5km

when d = 20km

T(20)=10(20) + 20

T(20)=  200+ 20

T(20) = 220

Hence the temperature is 220 when d = 20km

when T = 100km

T(100)=10(100) + 20

T(100)=  1000+ 20

T(100) = 1020

Hence the temperature is 1020 when d = 100km

The temperatures at 5km, 20km and 100km are; 70°C, 220°C, and 1020°C respectively.

The complete question requires that we find the temperature at 5km, 20km and 100km.

The temperature function is; T(d)=10d + 20

For 5km;

For 20km;

For 100km;

Read more;

https://brainly.com/question/15308045

Answer:

[tex]-16x^2-9x+12[/tex]

Step-by-step explanation:

[tex]2x-3x+ 10x[/tex]

[tex]-16x^2-9x+12[/tex]

[tex]15x-6x^2+3[/tex]

[tex]-7x+ 9x^9 - 11x[/tex]

Standard form is when the polynomial's terms's degrees go down so the highest power is the first and the lowest is the last.

We see that the first expression can be more simplified so that isn't right.

We see that the second expression is in standard form so that might be right.

We see that the third expression has the highest power as the second term so that is wrong

We see that last expression is the same as the third one so that is also wrong.

We can conclude that [tex]-16x^2-9x+12[/tex] is the correct one or in standard form.

Answer:

[tex]y=\frac{3}{2}x-4[/tex]

Step-by-step explanation:

Use the equation of a line: y=mx+b.

First, plug in all of the values that you know.  In this case, we are given x, y, and m (the slope).

[tex]y=mx+b\\-4=(\frac{3}{2})(0)+b\\-4=b[/tex]

Now that we have the b value, we can create the equation:

[tex]y=\frac{3}{2}x-4[/tex]

Answer:

The sides of the pigpen are 3 by 17

Step-by-step explanation:

Perimeter of pigpen => 2x + 2y = 40

Area of pigpen => xy = 51 (this is assuming x = length, and y = width)

Let's isolate "y" for the first equation;

2x + 2y = 40

2(x + y) = 40

x + y = 20

y = 20 - x

xy = x(20 - x) = 51 = 51

20x - x^2 = 51

x^2 - 20x + 51 = 0

According to the quadratic equation =>

x = ( - (- 20) + √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 17

x = ( - (- 20) - √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 3

The dimensions of the pigpen are actually 17 by 3

Proof: 17(3)= 51, 2(17) + 2(3) = 40

Answer:

Square root of 2

Pi

Step-by-step explanation:

Answer:

square root of 5 pi sq root of -11

Step-by-step explanation:

Answer:

48.55

Step-by-step explanation:

Answer:

48.55

Step-by-step explanation:

Convert 70 into 70.00 and then it will be easier to subtract.

we be bakos thoes LOOK ET EM TOES

Answer:

uhmmmmm... i no understand...

Step-by-step explanation:

Answer:

25 baggies; each bag has 2 blueberry scones, and three cranberry scones.

Step-by-step explanation:

The question format is a bit bugged, but I assume the question is asking "You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. What is he greatest number of bags you can fill?"

The first thing to realize when solving this question is that whatever the answer is equal to, it must be able to be equally divided from both 50 and 75, otherwise it will have a remainder, and at least one bag will have too many or not enough scones.

This means that the answer must be a factor of both 50 and 75.

The factors of 50 includes {1, 2, 5, 10, 25, 50}

The factors of 75 includes {1, 3, 5, 15, 25, 75}

In the two sets, only 1, 5, and 25 are common factors. Of the three factors, 25 is the greatest number, and thus the greatest number of bags that can you can fill.

Answer:

-5 ≤ x < 0

Step-by-step explanation:

Step 1: Convert word signs to math

greater than or equal to: ≤ x

less than: x <

Step 2: Substitute in numbers

-5 ≤ x < 0

Answer: i believe the answer is B

Step-by-step explanation: because if p to q is true, then that means p and q are both true!