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alukav5142 [94]
2 years ago
7

There are 30 biscuits in a tin. 8 of the biscuits are iced, of which 6 contain

Mathematics
1 answer:
amid [387]2 years ago
5 0

The probability that a biscuit picked at random contains chocolate

chips. = 1/5 , The Venn Diagram is attached with the answer.

<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

It is given that

There are 30 biscuits in a tin

8 of the biscuits are iced, of which 6 contain chocolate chips

4 biscuits are neither iced nor contain chocolate chips.

the probability that a biscuit picked at random contains chocolate

chips.

There are total 6 biscuits which have chocolate chips

The probability that a biscuit picked at random contains chocolate

chips. = 6/8 *8/30 = 6/30 = 1/5

The probability that a biscuit picked at random contains chocolate

chips. = 1/5

The Venn Diagram is attached with the answer.

To know more about Probability

brainly.com/question/11234923

#SPJ1

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Proportional relationships, please answer all of the parts! Thank you!
Natalka [10]

Answer:

a. No (see below)

b. (see below)

c. Johnny

d. Johnny = $12.50 / hour      Doug = $9.16... / hour

e. Doug: extend the table to show how much he gets paid for 1 hour of work (the unit rate)

Johnny: already on the graph

Step-by-step explanation:

a. No. This is because a proportional relationship would have a certain ratio between payment and the amount of time spent working, which would not change. However, if Doug's neighbour pays him $55 for 6 hours, it's likely that this is not a proportional relationship, or we would be able to divide $55 by the 6 hours Doug spent working.

b. Even though above I said that it's probably not a proportional relationship, if it were, we would have to divide everything equally. I'm guessing the table should look like this:

                            Doug

       Time (hr)                      Earnings ($)

          4                                  $36.66...

          5                                  $45.8333...

          6                                  $55

          7                                  $64.4666....

          8                                  $73.333...

To work out how much Doug would get for working 4 hours:

4/6 x $55 = 2/3 x $55 = $36.66... (so definitely not a proportional relationship)

To work out how much Doug would get for working 5 hours:

5/6 x $55 = $45.8333.... (more evidence that this is not a proportional relationship)

To work out how much Doug would get for working 7 hours (we already got 6 hours):

7/6 x $55 = $64.4666...

To work out how much Doug would get for working 8 hours:

8/6 x $55 = $73.33... (we could double the 4 hour payment, but this is probably more accurate)

c. Johnny is getting paid more. If we look at how much Doug gets for 6 hours, it's $55. If we look out at how much Johnny gets for 6 hours, it's $75. (If we do the same with the other amounts of time, it's the same.

4 hours: D = $36.67 vs J = $50

5 hours: D = $45.83 VS J = $60

etc...

d. Johnny gets $75 per 6 hours --> 75/6 = $12.50 per hour

Doug gets $55 per 6 hours --> 55/6 = $9.1666... per hour

e. Carry on the table for Doug all the way to 1, so you can see the how much Doug gets paid for 1 hour of work (i.e. the minimum).

The unit rate is already on the graph for Johnny.

HOPE THIS HELPED :)

P.S. Mate cld you please give me Brainliest? That table took so much dam work

7 0
3 years ago
Read 2 more answers
The areaot a square is 36 cm? What<br> is the side length, s?
vichka [17]

Answer: 6

Step-by-step explanation: To find the side length of a square, you need to find the square root of the area because the side length squared is the area.

5 0
2 years ago
The figure is made from squares of different sizes.Find the area of A if the side of each of the two indentical smallest square
Temka [501]

Answer:

The area of square A is 256 cm²

Step-by-step explanation:

  • <em>The four sides of a square are equal in length</em>
  • <em>Area of a square = side × side</em>

In the given figure

∵ The sides of the square E = 2 cm each

∵ The sides of the square F = 2 cm each

∵ The side of square D is the sum of the sides of squares E and F

∴ The sides of the square D = 2 + 2 = 4 cm each

∵ The side of square C is the sum of the sides of squares E and D

∴ The sides of square C = 2 + 4 = 6 cm each

∵ The side of square B is the sum of the sides of squares C, E, and F

∴ The sides of square B = 6 + 2 + 2= 10 cm each

∵ The side of square A is the sum of the sides of squares B, F, and D

∴ The sides of square A = 10 + 2 + 4= 16 cm each

∵ Area of square A = side × side

∴ Area of square A = 16 × 16

∴ Area of square A = 256 cm²

∴ The area of square A is 256 cm²

3 0
2 years ago
To rent a canoe costs $15 for the first hour and $12 for each additional hour or fraction of an hour. Which point is NOT include
pogonyaev

Answer:

A

Step-by-step explanation:

(2.5,39)

8 0
3 years ago
Help please, Mathematics! If there's a formula include that too, please
mario62 [17]

Answer:

24 Combinations Total

Step-by-step explanation:

METHOD 1 (no advanced math skills needed)

i. Number the friends: a, b, c, and d

ii. List all possible combinations...

  1. a b c d
  2. a b d c
  3. a c b d
  4. a c d b
  5. a d b c
  6. <u>a d c b</u>
  7. b a c d
  8. b a d c
  9. b c a d
  10. b c d a
  11. b d a c
  12. <u>b d c a</u>
  13. c a b d
  14. c a d b
  15. c b a d
  16. c b d a
  17. c d a b
  18. <u>c d b a</u>
  19. d a b c
  20. d a c b
  21. d b a c
  22. d b c a
  23. d c a b
  24. <u>d c b a</u>

To speed up the process instead of sitting here and listing 24 combinations, after two sections you can see that with friend "a" sitting all the way at the left there are six combinations and the same goes for friend "b". You can then multiply 6 (number of combinations with that friend <em>first</em>) and 4 (friends) to get 24.

METHOD 2

n! means the total number for permutations calculation (1 x 2 x ... until you reach <u><em>n</em></u><em> </em>) = 24

6 0
3 years ago
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