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HACTEHA [7]
3 years ago
11

Please answer this correctly

Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

4 weeks 5 days

Step-by-step explanation:

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Consider a population list x with μx=10 and SDx = 1. A second population list, y, with μy=10 and SDy=2, is added to the first li
Basile [38]

Answer:

The combined standard deviation is 1.58114.

Step-by-step explanation:

The formula to compute the combined standard deviations of two different data sets is:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}

Here \mu_{c} is the combined mean given by:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}

It is provided that the sample size is same for both the data sets, i.e.n_{X} = n_{Y}=n

Compute the combined mean as follows:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}\\=\frac{(n\times10)+(n\times10)}{n+n}}\\=\frac{20n}{2n}\\ =10

Compute the combined standard deviation as follows:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}}\\=\sqrt{\frac{(n\times1^{2})+(n\times2^{2})+(n(10-10))+(n(10-10))}{n+n}}\\=\sqrt{\frac{n+4n}{2n} } \\=\sqrt{\frac{5n}{2n} } \\=\sqrt{\frac{5}{2}} \\=1.58114

Thus, the combined standard deviation is 1.58114.

3 0
3 years ago
Halim makes a profit of 120% on his cost price by selling a pair of shoes of $45. i) Find the cost pricer of the pair of shoes i
Rus_ich [418]

Answer:

a. $20.45

b. $24.55

c. $4.55

Step-by-step explanation:

In this question, we are asked to calculate the cost price and profit or loss selling a pair of shoes.

we proceed as follows

Firstly, we want to find the cost price given the selling price and the mark up percentage.

mathematically;

profit =( selling price - cost price)/cost price * 100%

here our profit is 120% with the cost price being $45. we plug these values

120 = 45-cp/cp * 100%

120cp = 100(45-cp)

120cp = 4500 -100cp

220cp = 4500

cp = 4500/220 = $20.45

His profit is selling price - cost price = 45 - 20.45 = $24.55

His profit selling same shoe for $25 is 25-20.45 = $4.55

4 0
3 years ago
Read 2 more answers
What is the estimate of 145.4 ÷ 21 with a solution!
Mnenie [13.5K]
The estimate should be 6.92
4 0
3 years ago
What is the answer to 132.55=5 (0.04m+21.70+0.10(21.70))
postnew [5]
132.55=5(.04m+2+.7+0.1(21.7))>>>m=66
8 0
3 years ago
16 factory workers made 40 pieces in a certain amount of time. How many workers are needed to make (1) 20, (2)25 and (3)100 piec
lorasvet [3.4K]

1. 40 units___16 workers

20 units___x= 8 workers

(20*16)/40=8

2. 40 units___16 workers

25 units___x= 10 workers

(25*16)/40=10

3. 40 units___16 workers

100 units___x= 40 workers

(100*16)/40=40

7 0
3 years ago
Read 2 more answers
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