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An aged merchant of Baghdad was much respected by all who knew him. He had three sons, and it was a rule of his life to treat th

IRINA_888 [86]

Answer:

Son number 1 has 3 full, 5 half, and 3 empty barrels.

Son number 2 has 4 full, 3 half and 4 empty barrels.

Son number 3 has 3 full, 5 half, and 3 empty barrels.

Step-by-step explanation:

Let's first calculate the amount of honey we have (in barrel unit):

10*1 + 13*0.5 + 10*0 = 16.5 honey units

As the father wants to split it equally between the 3 sons, each of them should get 16.5 / 3 = 5.5 honey units

And since we have 33 barrels in total which must be split equally between the sons, each should receive 33 / 3 = 11 barrels.

Since the sons are identical, let's start by splitting each of the barrels equally. We can rearrange later to match all criteria:

3 full, 4 half, and 3 empty for each of the sons, makes it 10 barrels and 3*1 + 4*0.5 + 3*0 = 5 honey unit

For 3 sons there would be 1 full, 1 half and 1 empty barrels left

We can give 1 half barrel to the 1st son, now he has 11 barrels and 5.5 units of honey. He's good to go. we have 1 full, 1 and 1 empty barrels left.

Give the full barrel to the 2nd son, now he has 11 barrels, but 6 unit of honey. So we trade the empty barrel for a half barrel of his. So he would have 4 full, 3 half and 4 empty barrels. That accounts for 11 barrels, 4*1 + 3*0.5 + 3*0 = 5.5 barrels.

We are left with 1 half barrel, that can be given to the 3rd son, now he would have 3 full, 5 half, and 3 empty barrels. That accounts for 11 barrels and 3*1 + 5*0.5 + 3*0 = 5.5 unit of honey.

7 0

2 years ago

In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go

Licemer1 [7]

Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259

Step-by-step explanation: Confidence interval for a proportion in one sample is the estimate of the proportion of a population. It is calculated following the next steps:

1) Find the proportion $p=\frac{x}{n}$ , in which x is the number of people with the desired condition. In our case, p=0.9;

2) Calculate margin of error, i.e.:

$z\sqrt{\frac{p(1-p)}{n}}$

z is z-score, which for a 95% confidence, equals 1.96;

Substituting with the data given:

$1.96(\sqrt{\frac{0.9(1-0.9)}{514}})$ = 0.0259

3) Write: p ± $z\sqrt{\frac{p(1-p)}{n}}$

In our case, the interval will be 0.9 ± 0.0259.

Margin of error is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259

7 0

3 years ago

Let f(x)=x^2- 3. 1. Show that [0, 2] is a bracketing interval for f 2. Carry out 3 iterations of the bisection method applied to

Papessa [141]

Answer:

root estimate = 1.75

error bound = 0.25

Step-by-step explanation:

f is a polynomial, so it is continuous in R (real numbers). Then you can use Bolzano's theorem.

f(0) = -3.1 < 0

f(2) = 4 - 3.1 = 0.9 > 0

Then there exists c in [0, 2], for which f(c) = 0