ohn works Monday to Friday. He buys his lunch on his way to work. Each day John buys a sandwich, a bottle of water and a bag of crisps. John thinks he will save more than £7.50 a week if he buys his lunch each day from shop B instead of shop A. Is John correct? You must show your working.. Single line text.

(4 Points)

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Answer:

The answer to the Question is D

Answer:

B, C, D

Step-by-step explanation:

If the sales price is 15% off, then the the price is .85(100-15%) of the price so c is true

this also makes b true. (100-15%) is p-.15

495 x .85 (100-15%)=420.75 so d is true

Answer:

c. the spinner landing on orange or red

Step-by-step explanation:

So first you find how much is green

25 + 15 + 40 = 80

100 - 80 = 20

So the amount green is 20%

Then you choose the color that has the biggest percentage because it has a higher change of being chosen

25% is red

15% is blue

40% is orange

20% is green

orange and red is the biggest amount/ has the biggest percentage

c is your answer

Answer: Choice A)  [tex]\cos^{-1} \frac{5}{26}[/tex]

You could also write [tex]\cos^{-1} \left(\frac{5}{26}\right)[/tex] which is the same as writing [tex]\arccos\left(\frac{5}{26}\right)[/tex]

Arccos stands for "arccosine", which is effectively the same as inverse sine. The notation [tex]\cos^{-1}[/tex] means inverse cosine.

We use the cosine rule because

cos(angle) = adjacent/hypotenuse.

isolating the angle leads to

angle = arccos(adjacent/hypotenuse)

We can think of arccosine as an operation to undo the cosine function. It's similar to how division is the opposite of multiplication.

Step-by-step explanation:

Number of students = 8

Mean of sample = 876/8

= 109.5

We solve for standard deviation using formula:

S = √(Xi -barX)/n-1

S = 25.3264

A.

H0: u = 100

H1: u not equal to 100

T test = barX - u/s/√n

t = 109.5-100/(25.3264/√8)

= 9.5/8.9542

= 1.0609

Df = 8-1 = 7

P value = 0.953141 at 5% significance level. P-value > 0.05 so we fail to reject H0

Conclusion: insufficient evidence that mean = 100

B.

95% = bar x +-t*s/√n

t = 2.365 at 95% and df = 7

109.5 +- 2.365(25.3264/√8)

= 109.5 +- 2.365(8.9542)

= 109.5-21.1768, 109.5+21.1768

= (88.3232, 130.6768)

In conclusion true mean is in the confidence interval, so it is consistent.

Step-by-step explanation:

i hope you find tou calculator but the answer is 555

40.54

Percentage Calculator: 15 is what percent of 37? = 40.54.

Answer:11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

its 11 because 66 divided by 6 = 11

Answer:

3.61

Step-by-step explanation:

Answer:

8.2

Step-by-step explanation:

let me know if its wrong

Answer: 9 inches.

Step-by-step explanation:

Use a proportion for this problem

2/3=6/x

Cross multiply

2x=18

Simplify

x=9

Answer:

9

Step-by-step explanation:

you find the scale factor by using the new shapes number which would be 3 and its corresponding value from the old shape which would be 2

3/2 is equal to 1.5 so thats the scale factor ud need to use

6*1.5 is 9 so thats the answer

Answer:

C. 2x + 6

Step-by-step explanation:

After doing synthetic division (see attached), you get 2, 6, and 0, corresponding to the answer 2x + 6.

Answer: 1

Step-by-step explanation:

4b-5a

4(4)-5(3)

16-5(3)

16-15

1

Answer:

1

Step-by-step explanation:

4 x 4 - 5 x 3

16 - 15 = 1

Answer:

[tex]f(g(5)) = 5[/tex]

[tex]g(f(4)) = 0[/tex]

[tex]f(f(6))=1[/tex]

[tex]g(g(9)) = 0[/tex]

Step-by-step explanation:

Given

The attached table of values

Solving (a): f(g(5))

First, we solve for g(5)

[tex]g(5) = 7[/tex]

So:

[tex]f(g(5)) = f(7)[/tex]

Next, we solve for f(7).

From the table

[tex]f(7) = 5[/tex]

So:

[tex]f(g(5)) = 5[/tex]

Solving (b): g(f(4))

First, we solve for f(4)

[tex]f(4) = 6[/tex]

So:

[tex]g(f(4)) = g(6)[/tex]

Next, we solve for g(6).

From the table

[tex]g(6) = 0[/tex]

So:

[tex]g(f(4)) = 0[/tex]

Solving (c): f(f(6))

First, we solve for f(6)

[tex]f(6) = 8[/tex]

So:

[tex]f(f(6)) = f(8)[/tex]

Next, we solve for f(8).

From the table

[tex]f(8) = 1[/tex]

So:

[tex]f(f(6))=1[/tex]

Solving (d): g(g(9))

First, we solve for g(9)

[tex]g(9) = 6[/tex]

So:

[tex]g(g(9)) = g(6)[/tex]

Next, we solve for g(6).

From the table

[tex]g(6) = 0[/tex]

So:

[tex]g(g(9)) = 0[/tex]

Answer:

230.74

Step-by-step explanation:

Explanation:

When asking/answering questions like this, a survey is involved. It could be multiple choice or fill in the blank. Multiple choice may be the best way because it's easier to compare data results when you have only a few options. It also gives the computer an easier time too.

We aren't conducting an experiment since the researcher is not directly affecting the people, and instead letting them answer the questions without intervention. Also, note how we don't have two groups of treatment vs control. This is another indication we don't have an experiment.

An observational study is not being done here either. Yes the researcher is observing the survey results, but s/he is not making notes on the individuals before the survey is conducted (ie before the questions are asked). An example of an observational study is having the researcher make a tally of students' hair color. The researcher simply looks at each student, marks the correct tally, and doesn't need to ask the student a question. So you can see that the interactive question/answer portion is not present in an observational study.

The phrasing "random trial" is not a study type. When you hear "random trial" in the news, maybe for a new drug being developed, the news report is implying heavily that an experimental study had been done. This is true with all drug trials. One group is the treatment group that gets the actual drug, while the control group gets a fake drug. The control group thinks they get the actual drug, which is important because if they knew it was fake, then it would invalidate the study. I recommend researching the placebo affect for more information. The two group's results are then computed to see if the drug did in fact cause a change in the subjects or not. You would see this if there's a significant difference between the treatment and control group. Anyway, the "random trial" is not a study type but rather an aspect of an experimental study. It's possible your teacher put this in here to throw off students.

Answer:

12 square feet

Step-by-step explanation:

A=Area

b=Base

h=Height

To find the area of an triangle, you use the formula A=1/2bh

you plug in the the area and the height to get:

48=1/2xbx8

you do the maths and you get

b=12

1Answer:

12 sqft

Step-by-step explanation:

Answer:

The angle is in the third quadrant.

Answer:

69

Step-by-step explanation:

30+30=60

4+5=9

60+9=69!

Answer: −17

Step-by-step explanation: ez

Answer:

Im pretty sure its E and C

Step-by-step explanation:

There may be one more:)

Answer:

A D F

Step-by-step explanation:

A: x-3=0

      +3    +3

x=3

D: 6= 2x

6/2 =2x/2

3=x

F: x^2 =9

[tex]\sqrt{[/tex]x^2 =[tex]\sqrt{9[/tex]

x=3

Answer:

7/10

Step-by-step explanation:

Change the 3/5 to 6/10

Add

and get 7/10

Answer:

I believe the answer is 166.6 Joules or (if rounding to the nearest whole number) 167 Joules.

Step-by-step explanation:

Here is the formula to find the gravitational potential energy of an object:

U = m * g * h (potential energy equals mass times gravitational acceleration * the height)

The mass is 8.5 kilograms, the height is 2 meters, and Earth's gravitational acceleration is always, no matter the other values or earthly situations, 9.8 m/s.

Now we solve:

8.5 * 9.8 * 2 = 166.6 which is rounded to 167 Joules.

Answer:

a trapezoid

Step-by-step explanation:

Answer is parallelogram.

Parallelogram:

A two-dimensional geometrical shape, figure with four sides whose opposite sides are parallel and equal.

Here,

It is given that the quadrilateral have two pairs of parallel sides.

It cannot be rectangle as the angles in rectangle should be 90 degrees.

Answer is parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/18137045?referrer=searchResults

#SPJ2

Answer:

90

Step-by-step explanation:

60+30 is 90

Answer:

is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps

Step-by-step explanation:

Answer:

is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

12/60 (divided) makes 0.2, converted to a percent is 20%