A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. On average, when surveyed regarding job satisfaction, teachers give a score of 3. 3 out of 5 with a standard deviation of 0. 6. When the authors of the study interviewed 40 teachers who supplemented with their own materials, they found 3. 5 to be the mean. The authors wanted to know if the group of teachers that could choose supplementary curriculum had a higher level of job satisfaction. They used a significance level of 1%. Which of the following statements is valid based on the results of the test? The data shows that teachers allowed to choose supplementary curriculum for classes are more satisfied with their jobs. The data shows that teachers who were assigned all curricular resources for classes are more satisfied with their jobs. The data shows that there is no difference in job satisfaction between the two groups of teachers. The data shows that the authors cannot make a determination either way with this data.

There are 52 weeks in a year.

Using 50 for the number of weeks in a year is a(n) round.

Rounding is a process which we  approximate the known  number by just scaling it up or down.

In rounding the numbers less than 5 are scaled to one number less than the  given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .

For example if there were 55 or more than  weeks in a year we can say there are approximately 60 weeks in a year.

But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.

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Answer:

answer is <

Step-by-step explanation:

first equation is equal to 6 and the other is equal to 7

Answer:

(5,-3)

Step-by-step explanation:

We can substitute the y in the second equation by the first equation:

2x+3(x-8)=1->

2x+3x-24=1 ->

5x-24=1 ->

5x=25 ->

x=5.

Then solve for y in the first equation:

y=5-8 ->

y=-3.

So the first is correct:

(5, -3)

Hope that helps! :)

Answer:

First option: (5,-3)

Step-by-step explanation:

First turn the second equation to slope intercept form (y=mx+b):

Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.

Now you can graph both, and the solution would be the point that intercepts both of these lines.

(Here it is graphed above for you⤴⤴⤴)

Hope this helps :)

Answer:

x= 8

What I Did:

First I turned them into whole number so I turned 0.6 into 6 and 4.8 into 48

Then I divided 48 by 6 which was 8

You can also add 0.6 as many times until you get to 4.8 but then you're just wasting time.

Answer: x = 8

Step-by-step explanation:

Step 1: We have the next system of equations -

[tex]2x - 3y = 13[/tex]

[tex]x + 2y = 4[/tex]

Step 2: Now, we will multiply by -2 the second equation:-

[tex] - 2(x + 2y) = 4[/tex]

[tex]→ - 2x - 4y = - 8[/tex]

Step 3: Then we add it :-

[tex]2x - 3y = 13[/tex]

[tex]( + ) \: - 2x - 4y = - 8[/tex]

Step 4: After finding the sum, we simplify:-

[tex] - 7y = 5[/tex]

[tex]→y = - \frac{5}{7} [/tex]

Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-

[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]

Step 5: Then simplify :-

[tex]y = \frac{38}{7} [/tex]

Therefore, the final answer is :-

[tex]x = \frac{38}{7} [/tex]

and

[tex]y = \frac{5}{7} [/tex]

------------------------★---------------------

Answered by Benjemin360 ☺️

Answer:

y ≥ 2

Step-by-step explanation:

Domain is x  > 1 . So, range will be greater than or equal to 2

Answer:

1/2

Step-by-step explanation:

in the below figure point A is (8,-4)

and shifted A is (4, -2)

it is half of original

for B (4,4) ---> (2,2)

for C (-4,4)  ----> (-2,2)

so scale factor is 1/2

Answer:

Step-by-step explanation: its 7

Answer:

[tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Functions

Calculus

Differentiation

Derivative Rule [Product Rule]:                                                                             [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle y = \csc (x) \cot (x)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

I think b im not too sure

Step-by-step explanation:

Answer:

C  8

Step-by-step explanation:

3 apples/2 oranges = 12 apples/x

3/2 = 12/x

3x = 24

x = 8 oranges

Answer:

A

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given sequence is a geometric ~

let's find the common ratio (r) first ~

And the first term (a1) of the sequence is ~ -96

let's find the 5th and 6th term.

The value of 5th term is ~

The value of 6th term is ~

Answer:

77 in.

Step-by-step explanation:

Peter: 75.25 in.

Steve: 75.25 in. + 1.75 in. = 77 in.

Answer:

[tex]\frac{4}{6}+\frac{3}{5}[/tex]

Step-by-step explanation:

1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]

[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]

[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]

Answer:

The answer is B

Step-by-step explanation:

an input value must only paired to one output value

Answer:

option (2) and (5) is correct.

2) This equation has no solution.

5) Any input value for the variable will generate a false equation.

Step-by-step explanation:

Given a solution to the equation,

-6( x + 5) + 3 = -2( x + 4) - 4x

⇒  –6x – 30 + 3 = –2x – 8 – 4x

⇒ –6x – 27 = –6x – 8

⇒  –27 = – 8

Which is false statement as -27 is never equal to -8.

Thus, This equation has no solution.

Also, if we substitute any value of x , then also the equality never hold.

For example lets put x = 1 in  -6( x + 5) + 3 = -2( x + 4) - 4x , we get,

⇒ -6( 1 + 5) + 3 = -2( 1 + 4) - 4(1)

⇒ -6( 6) + 3 = -2(5) - 4

⇒ -36 + 3 = -10 - 4

⇒ -33 = -14

Still the value is false as -33 is never equal to -14.

Any input value for the variable will generate a false equation.

Thus, option (2) and (5) is correct.

Answer:

64/1 . 5/3

320/3

106.666666?

Answer:

£24 and £40

Step-by-step explanation:

To divide into the ratio of 3:5, we can start by dividing into 8 parts - as 3+5=8, then do 3 parts and 5 parts to achieve the ratio.

£64 / 8 = £8

3 * £8 = £24

5 * £8 = £40

Answer:

3x+7

  3

Step-by-step explanation:

(3x-7) × (3x+7) × ____2x+4_____

         6                     3x∧2-x-14

(3x-7) × (3x+7) × ____2(x+2)_____

         6                 3x∧2 × 6x-7x-14

(3x-7) × (3x+7) × _____x+2_______

         3                  3x × (x+2)-7(x+2)

(3x-7) × (3x+7) × _____ x+2_______

         3                     (x+2) × (3x-7)

3x+7

  3

Hope this helps! :)

Answer:

B,D,E

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because everyone has a different method that works for them.

but then again it uses the pronoun you which means its asking for your opinion its not phrased

what would help študents pay more attention in class

so yes and no

Answer:

4cos(4x-4pi)+5

Step-by-step explanation:

It was from khan

Answer:

Jingle's breakeven point is achievable if 4000 units are sold.

Step-by-step explanation:

Answer:

x=-37/3

y=-22/3

Step-by-step explanation:

-2x+2y=10 (1)

2x-5y=12 (2)

(1)+(2) <=> -3y=22

Answer:

Elimination method is good enough

Answer:

3c

Step-by-step explanation:

10c - 7c = 3c

A linear function is one of the most simplest form of functions. As the name "linear" indicates, a linear function is simply a line, more precisely a straight line.

So it is in the form of f(x) = ax + b.

Lets now check the possible answers : (second answer :) "a curved line", not correct.

(third answer:) "a parabola", this is not a straight line, so not correct.

(fourth answer:) "a wavy line", not a straight line, so not correct.

The only correct answer is the first one : a line passing through the x axis at negative 2 and the y axis at negative 6.

Answer:

your answer is 0.8 mph

Step-by-step explanation:

i hope i help you

Answer:

But notice that the colony tripled 4 times in 16 days, or it tripled 16 / 4 = 4 times.

Step-by-step explanation:

150 x 3 x 3 x 3 x 3 = 150 x 34 = 150 x 81 = 12,150.

Hope this helps

Answer:

ha i got nothing

Step-by-step explanation:

he i got nothing