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2 years ago

200 people are asked about three brands of beverages Coffee, Tea and Chocolate. 36 like

Mathematics

2 answers:

sergiy2304 [10]2 years ago

6 0

Answer:

i) 52

ii) 66

Step-by-step explanation:

This sort of problem is usually solved using some sort of table or Venn diagram. We have used a table in the attachment such that each of the cells in the grid represents one of the 8 possible combinations of coffee, tea, or chocolate.

The numbers in black are given directly by the problem statement. The numbers in blue are calculated from the numbers in black and one of the other given numbers in the problem statement. The numbers in red are calculated so the totals work out correctly.

The cells shaded blue-gray are "one and only one" of the drinks. The cell shaded purple-gray is "don't like any".

<h3>i) black coffee</h3>

We assume that any form of "coffee" is "black coffee." The problem statement tells us 52 people like coffee.

The last number we calculated is the number who like none of the drinks: 66. This brings the total of non-coffee drinkers to 148.

_____

<em>Additional comment</em>

As noted above, the colors more or less indicate the order of the calculations. We started with 36 who like coffee only, and 46 who like coffee and not tea. That means 46-36=10 like coffee and chocolate, but not tea.

Since 16 like coffee and chocolate, that leaves 16-10=6 who like coffee and tea and chocolate (all three).

96 like chocolate, but 16 of those like chocolate and tea. The other 80 like chocolate, but not tea.

46+16=52, so there must be 0 who like coffee and tea, but not chocolate.

The number who like only one is 108. We already have 36 that are coffee only, 80-10 = 70 that are chocolate only, so there must be 108 -70 -36 = 2 who like tea only.

Now, we can finish filling the top row of the table and the totals in the bottom row.

Scorpion4ik [409]2 years ago

4 0

Answer:

Step-by-step explanation:

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John wants to fence in a portion of his backyard. ... How many feet of fencing does john need to buy to enclose this area? ... H

Lelechka [254]

For this problem you need to find the area.
To find area, you multiply the width by the length.
You multiply 12 1/2 by 5 1/2 and you get 31 1/4
This is how you do it::

= 25/2 × 5/2

= (25 × 5) / (2 × 2)

= 125/4

= 125/4

<span>= 31 1/4

So you know that the area is 31 1/4 yards.
In the question it asks HOW MANY FEET so we have to convert 31 1/4 yards to feet.
1 yard= 3 feet
31 1/4 *3= </span><span>93.75
<span>John need to buy 93.75 feet of fencing to enclose the area.</span></span>

3 0

3 years ago

Adair suggests that they package together the fries and soda in a combo for a $0.75 discount. lf the student council pays $0.85

Ira Lisetskai [31]

Answer:

$58.50

Step-by-step explanation:

It is given that the student council pays

For per french fry = $0.85

For per soda fry = $1.20

Discount on the combo of fries and soda = $0.75

Total revenue for one combo = $0.85 + $1.20 - $0.75 = $1.30

Since the total revenue for one combo is $1.30, therefore the total revenue for 45 combo is

Total revenue for 45 combo = 45 × $1.30 = $58.50

Therefore, they will make $58.50 if they sell 45 combos.

5 0

4 years ago

Read 2 more answers

Jack collected 31.1 pounds of cans to recycle and plans to collect 5.9 more pounds each week. Write an equation in slope-interce

butalik [34]

Answer:36.10

Step-by-step explanation: add 31+5= 36 the other one 1 +9 = 10 that's the answer please mark me as brainlest

8 0

2 years ago

Solves the inequality. Write your final answer in interval notation:<br><br> -3(2x+1) > -2(x+6)

3241004551 [841]

-3(2x+1) > -2(x+6)

-6x -3 > -2x - 12

-6x -3+6x > -2x - 12+6x

-3>4x-12

-3+12>4x-12+12

9 > 4x

4x<9

x<4/9

(-∞, 4/9)

7 0

3 years ago

The frequency table shows the scores from rolling a dice 10 times work out the mean

chubhunter [2.5K]

<h3>Answer: 3.8</h3>

==========================================================

Explanation:

For each row, multiply the values straight across.

Row one: 1*1 = 1
Row two: 2*3 = 6
Row three: 3*0 = 0
Row four: 4*2 = 8
Row five: 5*1 = 5
Row six: 6*3 = 18

The list of products we got were: 1, 6, 0, 8, 5, 18

Add up those products to get: 1+6+0+8+5+18 = 38

The value 38 represents the total value if we were to add up all of the results of each die roll (it shows up again in the next section). We divide this over the total frequency, which is the sum of everything in the second column. That total frequency being 1+3+0+2+1+3 = 10.

So the mean is 38/10 = 3.8

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

A longer way to do this is to expand each value based on the frequency shown. The value '1' shows up one time, so we just write "1" once. The value "2" shows up three times, so we write "2" three times. So far the list is {1,2,2,2}

The value "3" doesn't show up at all, so we skip to "4" which shows up twice. The updated data set so far is {1,2,2,2,4,4}

Then it updates again to {1,2,2,2,4,4,5} when we account for the single "5"

Finally, the fully up to date list of values is {1,2,2,2,4,4,5,6,6,6}

Computing the mean of this set has us add up the values to get 1+2+2+2+4+4+5+6+6+6 = 38. We have that "38" show up again, which is not a coincidence. We divide over 10 because there are ten values in the fully up to date list shown above. So this is a different method to get the mean of 3.8

If you prefer this second method, then you should use it; however, I recommend the first method as it's faster and more efficient. It might be handy to try both methods just for practice.

6 0

3 years ago