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3 years ago

11

What is the greatest possible quotient of any two distinct members of the set 2/5,1/2,5,10? Specifically, we wish to maximize x/

y, where x and y are chosen from the previous set.

1 answer:

IrinaK [193]3 years ago

8 0

Answer:

<em>The maximum value is 25.</em>

Step-by-step explanation:

We are given the set of numbers:

$\frac{2}{5},\frac{1}{2},5,10$

We wish to maximize x/y where both x and y are chosen from the given set.

To maximize the quotient, we must select x as the greatest number from the set and y as the smallest number from the set.

Testing the fractions we find:

$\frac{2}{5}=0.4,\ \frac{1}{2}=0.5$

Thus, the smallest number is 2/5

Select x=10, y=2/5

Now calculate the quotient:

$\displaystyle \frac{10}{\frac{2}{5}}=10*\frac{5}{2}=25$

The maximum value is 25.

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About 5% of hourly paid workers in a regioner the prevailing minimum wage or less A grocery chain offers discount rates to compa

Fed [463]

Answer:

0

Step-by-step explanation:

Let X to be a random variable that looks a binomial distribution which denoted the number of employees out of the 281 who earn the prevailing minimum wage or less

The sample size n = 281

The population parameter p = 5% = 0.05

Using normal approximation for the mean.

$\mu = np$

$\mu = 281\times 0.05$

$\mu = 14.05$

The standard deviation is:

$\sigma = \sqrt{np(1-p)}$

$\sigma = \sqrt{281 \times 0.05(1-0.05)}$

$\sigma = \sqrt{281 \times 0.05(0.95)}$

$\sigma = \sqrt{13.3475}$

$\sigma =3.6534$

By using continuity correction; the sample mean x is:

x = 30 - 0.5

x = 29.5

The z statistic test can now be as follows:

$Z = \dfrac{x-\mu}{\sigma}$

$Z = \dfrac{29.5-14.05}{3.6534}$

$Z = \dfrac{15.45}{3.6534}$

Z = 4.23

Thus, the probability that company A will get a discount is

P(X ≥ 30) = P(Z >4.23)

= 1 - P(Z < 4.23)

By using the Excel function for the z score 4.23 i.e. "=1 - NORMSDIST(4.23)" we get;

= 0.0000

7 0

3 years ago

In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ

Bad White [126]

Answer:

2.7 in²

Step-by-step explanation:

Since ∆BAC and ∆EDF are similar, therefore, the ratio of their area = square of the ratio of their corresponding side lengths.

Thus, if area of ∆EDF = x, area of ∆BAC = 6 in², EF = 2 in, BC = 3 in, therefore:

$\frac{6}{x} = (\frac{3}{2})^2$

$\frac{6}{x} = (1.5)^2$

$\frac{6}{x} = 2.25$

$\frac{6}{x}*x = 2.25*x$

$6 = 2.25x$

$\frac{6}{2.25} = \frac{2.25x}{2.25}$

$2.67 = x$

$x = 2.7 in^2$ (nearest tenth)

3 0

3 years ago

A mural's height is 2 1/4<br> meters. Which of the following is equivalent to 2 1/4 meters?

goldenfox [79]

Answer:

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3 0

3 years ago

GUYSSS PLSSS HELP ME WITH THIS QUESTION :))

Mrac [35]

Answer:

17

Step-by-step explanation:

1) if to solve the first inequation, tnen 3x<52; ⇔ x<52/3;

2) if to solve the seconde inequation, then 2x≥24; ⇔ x≥12.

3) according to the items 1 and 2 x∈[12;52/3);

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3 0

3 years ago

3X{[(12-8)X2]+[11-9)X3]}

stiv31 [10]

3*(8+6)=3*14=42 is your answer

5 0

3 years ago

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