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.

Answer:

£3.9

Step-by-step explanation:

Philip went to the shop with £9.60

spent £5.70

Money left = £9.60 -£ 5.70

                  =£3.9

Hence,

He came home with £3.9

Answer:

x > -10/7

Step-by-step explanation:

divide both sides by -7 and it will be x= -10/7

Answer:

88 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides, then

180° (n - 2) = 15480° ( divide both sides by 180° )

n - 2 = 86 ( add 2 to both sides )

n = 88

Answer:

Step-by-step explanation:

1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.

2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.

3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.

4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.

Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)

Answer:

see below for answer

Step-by-step explanation:

(4p^2+32p)/(p-2)=(4p(p+8))/p-2

(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)

(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p

Answer:

48.83

Step-by-step explanation

Answer:

-2

Step-by-step explanation:

rise over run is 2/1 and y is decreasing as x is increasing so its negative

Answer:

12

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

4.5

Answer:

16 players can be brought to the tournament. The equation is written within my step-by-step explanation.

Step-by-step explanation:

Variable p = number of players

Set up an equation:

974.50 + 60.75p = 1946.50

Isolate variable p:

60.75p = 972

Divide:

p = 16

Check your work:

974.50 + 60.75(16) = 1946.50

974.50 + 972 = 1946.50

1946.50 = 1946.50

Answer:

[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ \text{Total Distance}}{ \text{Total time}} \\ [/tex]

[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ 6.7 \: km}{ \frac{1}{2} \: hr }[/tex]

[tex]\implies \footnotesize \text{ Average Speed} = 6.7 \times 2 \: km/h[/tex]

[tex]\implies \footnotesize \textbf{ Average Speed = 13.4 \: km/h}[/tex]

His rate is 13.4km/ hour

Data;

To solve this problem, we have to convert his speed from km/min to km/h

[tex]60min =1 hour\\[/tex]

Since his rate is 6.7kmin 30 minutes, let's convert it to hour

[tex]6.7km = 30min\\x km = 1min\\x = \frac{6.7}{30} \\x = 0.223km/min[/tex]

But to convert minutes to hours, we have to divide the time by 60

[tex]0.223\frac{km}{min}*60/1 = 13.4[/tex]

From the calculation above, his rate is 13.4km/ hour

Learn more on conversion from minutes to hours here;

https://brainly.com/question/4845674

Answer:

Step-by-step explanation:

can you upload diagram?

Answer:

the answer is 3/2

Step-by-step explanation:

2x =3

x= 3/2 when you divide both sides by 2

Answer:

I might be wrong but 1 and 1/2

Step-by-step explanation:

I divided both sides by 2 to isolate the x

I got x = 3/2 which also equal 1 1/2

Answer:

The answer is C.

Step-by-step explanation:

Hello! :)

x+12=20

Move all numbers to the right, using the opposite operation:

x=20-12

x=8

Therefore, x=8

Hope it helps. Enjoy your day! :)

Do ask me if you have any question.

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

Step-by-step explanation:

All pentagons angles = 540

540 - 107 - 100 - 96 - 119 = 118

Hope it helped!

Kavitha

Answer:

The answer above is in fact correct

Step-by-step explanation:

107+100+96+119+118=540

Answer:

252.21m

Step-by-step explanation:

Times it by 3 and that should give you the answer you are looking for. Please mark it as brainliest

15% of $18 is $2.70...........

Answer:

y = 5x - 32

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + b ← is the partial equation

To find b substitute (6, - 2 ) into the partial equation

- 2 = 30 + b ⇒ b = - 2 - 30 = - 32

y = 5x - 32 ← equation of parallel line

Answer:

the topic of a piece of informational writing: C. the subject or focus

The topic of an informative piece is the writer's feelings about the subject which is the correct answer that would be an option (B).

Informational writing is a piece of writing that is truthful and aims to educate or explain a topic to the reader. This teaches primary school students how to write realistic, insightful essays on a variety of topics.

It gives the reader fundamental information about a certain issue, which serves to inform the reader. Informational writing, unlike other types of writing, does not aim to influence the reader's opinion or inspire them to take action.

The informational writing is straightforward and succinct. It does not include any superfluous words, flamboyant notions that might confuse the readers or too detailed terminology.

Therefore, the correct answer would be option (B).

Learn more about the Information writing to click here:

brainly.com/question/25622432

#SPJ5

Answer:

52$

Step-by-step explanation:

13 (75% off) so 13 is 1/4 the price.

13x4 = 52

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation:

Answer:

z<-6

Step-by-step explanation:

4-5Z>34

-5z>34-4

-5z>30

z<-6

Answer:

So for the 9's facts, we can use a 10's fact, and then just subtract one group. For example, for 9×3, first do 10×3 to make 30, and then subtract one group of 3 to make 27. For 9×7, first do 10×7 to make 70, and then subtract one group of 7 to make 63.

y=0.2x

#0

[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]

#5

[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]

#10

[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]

#15

[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]

#20

[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]

Step-by-step explanation:

The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]

[tex]{ \star}[/tex]Put x = 0, then

[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 5, then

[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 10, then

[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 15, then

[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 20, then

[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]

I hope you have your answer now

Answer: The answer is 12q-1/2

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

x multiplied by 0.51 is the same as 49% of x

Answer:

8

Step-by-step explanation:

v=l*w*h so 2^3=8

Answer:

32

Step-by-step explanation:

The shape in image is an equilateral triangle which means all of it's angles has equal measurements:

2x - 4 = 5y and that is equal to 60 degrees

2x - 4 = 60 add 4 to both sides

2x = 64 divide both sides by 2

x = 32