All categories

2 years ago

A farmer is digging a ditch across his field.

Mathematics

1 answer:

Nitella [24]2 years ago

5 0

Answer:

Let us consider that ,

The worker can complete the work in x hours .

So, he can complete 1/x part of work in 1 hour.

Now, The workers does 2/3 of what he does. So they do 2/3(1/x) part of work in 1 hour . 2/3x work in 1 hour .

Consider them all working together,

So work done in one hour, = 1/x + 2/3x + 2/3x = 3 + 4 / 3x = 7/3x .

So, They taken 1 hour to complete 7/3th part of work. So, In 3x/7 hours , They all can complete the work.

Ratio of the time taken by all instead of only one = 3x/7 : x = 3/7 .

So ,The required option is 3/7

Hope my answer helped you!

Step-by-step explanation:

You might be interested in

Which pair of functions are inverses of each other?

klio [65]

f(x) = 10x -5 and g(x) = (x+5)/10 are inverses of each other , Option D is the correct answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement which relates two variables , a dependent and an independent variable.

The inverse of a function is found by replacing every y by x and vice versa , and then solve for y

The equation

f(x) = 4/x - 3

y= 4/x -3

Replacing y by x

x = 4/y -3

x +3 = 4/y

y = 4/(x+3)

Which do not correlate with the given inverse

f(x) = 10x -5

y = 10x -5

for finding inverse

10y -5 = x

10y = x+5

y = (x+5)/10

g(x) = (x+5)/10

Therefore , Option D is the correct answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0

1 year ago

How do I delete my question

damaskus [11]

You can’t delete them

5 0

3 years ago

Read 2 more answers

Complete the point-slope equation of the line through (1,3)(1,3)left parenthesis, 1, comma, 3, right parenthesis and (5,1)(5,1)l

Anarel [89]

Answer:

y - 3 = -1/2(x-1)

Step-by-step explanation:

Given the coordinates (1, 3) and (5,1). The point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the required point

Get the slope

m = 1-3/5-1

m = -2/4

m = -1/2

Using the point (1,3), substitute

y - 3 = -1/2(x-1)

2(y-3) = -(x-1)

Hence the required equation is y - 3 = -1/2(x-1)

7 0

3 years ago

The probability of drawing a black marble from a bag is 1/2, and the probability of drawing a white marble from the same bag is

s344n2d4d5 [400]

<span>W = event where white marble is drawn
B = event where black marble is drawn

The two events W and B are independent. This is because the marble taken out on the first draw is put back into the bag. Since W and B are independent, we can use this rule

P(W and B) = P(w)*P(B)

Use the rule to get

P(W and B) = P(W)*P(B)
P(W and B) = (1/2)*(1/4)
P(W and B) = (1*1)/(2*4)

P(W and B) = 1/8

1/8 is equivalent to 0.125. Use long division or a calculator

0.125 = 12.5% </span>

6 0

3 years ago

Read 2 more answers

Assume that the Poisson distribution applies to the number of births at a particular hospital during a randomly selected day. As

kakasveta [241]

Answer:

0.9999985 = 99.99985% probability that in a day, there will be at least 1 birth.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$