Mathematics, 11.06.2020 14:57 SKSKSKSKGKUFHjk

27 131 Marks Altogether, I have 10 bags of sweets.
The mean number of sweets in the bags is 42.
The table shows how many sweets there are in 9 of the bags.
Number of sweets
in a bag
Frequency
39 1
40 2
41 5
42 0
43 1
How many sweets are in the 10th bag?

Answers: 1

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Answers

Answer from: coollid876

The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.

Given :

The total number of bags is 10.The mean number of sweets in the bags is 42.The table shows how many sweets there are in 9 of the bags.

The following steps can be used in order to determine the total number of sweets in the 10th bag:

Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.

Step 2 - The formula of mean is given below:

${\rm Mean}= \dfrac{\sum f \times x}{\sum f}$

Step 3 - Now, substitute the values of the known terms from the given table in the above expression.

${\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}$

Step 4 - Simplify the above expression.

$\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}$

So, the total number of sweets in the 10th bag is 53.

For more information, refer to the link given below:

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Answer from: Lukejohn

The number of sweets in the 10th bag is 53

Step-by-step explanation:

Given

Let the Number of sweets in a bag be represented by x and frequency be represented by f

The table is as follows

x F

39 1

40 2

41 5

42 0

43 1

Mean = 42

Required

How many sweets are in the 10th bag?

Represent the number of sweets in the 10th bag by y;

The table becomes

x F

39 1

40 2

41 5

42 0

43 1

y 1

The mean of observation is calculated using the following formula;

Mean = ∑fx/∑f

Where ∑ means summation

fx means f * x; i.e. product of frequency and number of sweets

f represents frequency;

Calculating ∑fx

∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1

∑fx = 39 + 80+ 205 + 0 + 43 + y

∑fx = 367 + y

Calcuating ∑f

∑f = 1 + 2 + 5 + 0 + 1 + 1

∑f = 10

Recall that

Mean = ∑fx/∑f and Mean = 42;

So, Mean = ∑fx/∑f becomes

$42 = \frac{367 + y}{10}$

Multiply both sides by 10

$42 * 10 = \frac{367 + y}{10} * 10$

420 = 367 + y

Subtract 367 from both sides

420 - 367= 367 -367 + y

53 = y

y = 53

Hence, the number of sweets in the 10th bag is 53

Answer from: Quest

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step-by-step explanation:

Choose the function that the graph represents

Answer from: Quest

Try a or d, hope that

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27 131 Marks Altogether, I have 10 bags of sweets.
The mean number of sweets in the bags is 42...

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