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artcher [175]
3 years ago
5

You have a jug of milk from which you have to remove one cup milk aside. but you only have a three-cup measuring container and a

five-cup measuring container with you. so how will you remove exactly one cup milk aside?
Mathematics
1 answer:
cluponka [151]3 years ago
8 0
Assuming the jug has an infinite amount of milk:

Pour into the five cup
Pour the five cups into the three cup, there is now two cups inside of the five cup container and three cups inside of the three cup container
Return the three cups into the jug, so now there is only two cups inside of the five cup container.
Move the two cups into the three cup container. 
Fill the five cup container again, so now there are two cups inside of the three cup container and five cups inside the five cup container.
Pour one cup from the five cup container into the three cup container, now there are three cups inside of the three cup container and four cups inside of the five cup container
Empty out the three cup container, so now there are only four cups inside of the five cup container.
Pour the four cups into the three cups, until you can't anymore, so there are three cups in the three cup container, and one cup in the five cup container.
Pour the three cups back into the container, and you're left with one cup of milk.

I hope this helped, there was probably a simpler way to do this, but whatever.
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Answer: 0.4758

Step-by-step explanation:

Given : Mean : \mu=137\text{ lb}

Standard deviation : \sigma =28.9\text{ lb}

Also, the new population of pilots has normally distributed .

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x=130 lb .

z=\dfrac{130-137}{28.9}=-0.2422145\approx-0.24

For x=171lb.

z=\dfrac{171-137}{28.9}=1.1764705\approx1.18

The p-value =P(-0.24

=0.8809999-0.4051651=0.4758348\approx0.4758348\approx0.4758

Hence, the required probability : 0.4758

6 0
3 years ago
If DGH ~ DEF, Find the value of X
DIA [1.3K]

Answer:

x=25

Step-by-step explanation:

we know that

DGH ~ DEF ---> given problem

Remember that

If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent

so

\frac{DG}{DE}=\frac{GH}{EF}

substitute the given values

\frac{52}{91}=\frac{x+3}{2x-1}

(2x-1)52=(x+3)91\\104x-52=91x+273\\104x-91x=273+52\\13x=325\\x=25

4 0
3 years ago
janice bought her mother a bunch of 10 flowers. two of the flowers are daisies. one half of the remaining flowers are tulips. wr
Paul [167]
2/10, or simplified as 1/5.
Since the part that are daisies is 2, and the total number of flowers is 10, the fraction is 2/10 or 1/5.
3 0
3 years ago
If the first chapter of a certain book is 28 pages long and makes up 4% of the book, how many pages does the entire book have?
Schach [20]

Answer:

700 pages

Step-by-step explanation:

I first found out how many pages were in 1% so I divided 28 by 4.  

I got 7 so I multiplied it by 100 and 700 was the answer.

Basically:

28÷4 = 7

7 x 100 = 700

I hope that kinda made sense!

8 0
3 years ago
Divide. Write the quotient in lowest terms, 1 1/3 divided by 1 3/4. Please give a thorough explanation as i need help to figure
GaryK [48]

Answer:

Step-by-step explanation:

convert mixed fractions to improper fractions

rule=a b/c=(ac+b)/c

(1 1/3)/(1 3/4)

(4/3)/(7/4)

rule for dividing fractions=(a/b)/(c/d)=(a/b)(d/c)

(4/3)(4/7) then you can multiply the numerators and denominators

16/21

7 0
2 years ago
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