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3 years ago

11

A recipe calls for 4 cups of sugar and 16 cups of water. If the recipe is reduced, how many cups of water should be used with 1

cup of sugar? How did you solve it?

1 answer:

Radda [10]3 years ago

5 0

Divide the recipe by 4. You need 4 cups of water.

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In a sociology class there are 1414 sociology majors and 1111 non-sociology majors. 33 students are randomly selected to present

saul85 [17]

Answer: $0.4065$

Step-by-step explanation:

Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.

Total students = 14+11=25

Number of students are randomly selected = 3

Then, the number of ways to select 3 students from 25 students :-

$^{25}C_3=\dfrac{25!}{(25-3)!3!}=\dfrac{25\times24\times23\times22!}{22!3!}\\\\=2300$

Number of ways to select at least 2 of the 3 students re non-sociology majors :-

$^{14}C_1\times^{11}C_2+^{14}C_0\times ^{11}C_{3}\\\\=(14)\times\dfrac{11!}{2!(11-2)!}+(1)\times\dfrac{11!}{3!(11-3)!}\\\\=(14)(11\times5)+\dfrac{11\times10\times9}{6}\\\\=770+165=935$

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

$\dfrac{935}{2300}=0.40652173913\approx0.4065$

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3 years ago

What is the total length of nine pieces of chain each measuring 13 yards, 1 foot, 5 inches? Convert the answer to larger units w

dimulka [17.4K]

Answer: The total length of nine pieces of chain is 121.248 yards.

Explanation:

Since we have given that

Length of each chain = 13 yards, 1 foot, 5 inches

As we know that

$1\ inch=\frac{1}{12}\ foot\\\\5\ inches=\frac{5}{12}=0.4167\ foot\\\\\text{Total foot = 1+0.4167 =1.4167 foot}\\\\And\\\\1\ yard=3\ foot\\\\1\ foot=\frac{1}{3}\ yard\\\\1.4167\ foot=\frac{1.4167}{3}=0.472\ yards\\\\So,\\\\13\ yards+0.472=13.472\ yards$

On Converting it into larger units, we get 13.472 yards

Now, Number of pieces of chain =9

Length of 9 pieces is given by

$13.472\times 9=121.248\ yards$

Hence, Nine pieces of chain are 121.248 yards long .

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VladimirAG [237]

Answer:

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Step-by-step explanation:

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