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1 year ago

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Un bazin avand capacitatea de 63 dal se umple cu apa.Se folosesc trei robinete.Primul cu debitul de 2 ori mai mare decat al doil

ea si de 2 ori mai mic decat al treilea.Daca primul robinet este lasat sa curga timp de 1 ora,al doilea o jumatate de ora,iar la treilea un sfert de ora,bazinul se umple.Afla debitul fiecarui robinet.

1 answer:

lisov135 [29]1 year ago

6 0

Hollo baby mesagese yes itsny very much

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1. Which formula defines the sequence f(1)=2, f(2)= 6, f(3)= 10, f(4)= 14, f(5)= 18?

Natasha_Volkova [10]

Answer:

$f(n) =4 + f(n-1) \\for\ n>2$

Step-by-step explanation:

Given

$f(1)=2\\ f(2)= 6\\ f(3)= 10\\ f(4)= 14\\ f(5)= 18$

Required

Determine the formula

First, we need to solve common difference (d)

$d = f(n) - f(n-1)$

Take n as 2

$d = f(2) - f(2-1)$

$d = 6 - 2$

$d = 4$

Represent each function as a sum of the previous

$f(1) = 2$

$f(2) = 2 + 4 = f(1) + 4$

$f(3) = 6 + 4 = f(2) + 4$

$f(4) = 10 + 4 = f(3) + 4$

$f(5) = 14 + 4 = f(4) + 4$

Represent the function as $f(n)$

$f(n) =f(n-1) + 4$

Reorder

$f(n) =4 + f(n-1) \\for\ n>2$

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2 years ago

How many six-digit odd numbers are possible if the leftmost digit cannot be zero

Romashka [77]

For the leftmost digit there are 9 possibilities!

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2 years ago

With food prices becoming a great issue in the world; wheat yields are even more important. Some of the highest yielding dry lan

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Answer:

Option E) 61.6

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100 bushels per acre

Standard Deviation, σ = 30 bushels per acre

We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X>x) = 0.90

We have to find the value of x such that the probability is 0.90

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 100}{30})=0.90$

$= 1 -P( z \leq \displaystyle\frac{x - 100}{30})=0.90$

$=P( z \leq \displaystyle\frac{x - 100}{30})=0.10$

Calculation the value from standard normal table, we have,

$P(z$

$\displaystyle\frac{x - 100}{30} = -1.282\\x = 61.55 \approx 61.6$

Hence, the yield of 61.6 bushels per acre or more would save the seed.

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1 year ago

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her

CaHeK987 [17]

Answer:

Her expenses are $25 per week.

Step-by-step explanation:

Given :Jessica earns a commission on each sale but has to pay for her own expenses.

She writes the equation of the function like this: $E(x) = 7x - 25$ , where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

To Find: Which of the following are reasonable interpretations of the y-intercept of Jessica's function?

Solution:

$E(x) = 7x - 25$

x is the number of doors she knocks on during the week

E(x) is her earnings for the week in dollars.

Calculate y intercept

Substitute x = 0

$y= - 25$

Since E(x) is her total earning after clearing the payment of all her expenses.

So, 25 is her expenses per week.

Since we are given that she need to pay her expenses .

So, if there is no sale , still she need to pay expenses.

Thus the reasonable interpretations of the y-intercept of Jessica's function is Her expenses are $25 per week.

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2 years ago

Read 2 more answers

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Answer: d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.

Step-by-step explanation:

Confidence interval is constructed to estimate a range of values that could possibly contain the population parameter. This could be the population mean or population proportion. A 95 percent confidence interval does not mean 95% probability. It tells how confident that we are that the confidence interval contains the population proportion. If we construct 100 of the given confidence interval, we are confident that 95% of them would contain the true population parameter. Therefore, the correct option is

d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.

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2 years ago