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Simora [160]
3 years ago
13

William put 0.83 liter of water into a bucket. Matt put 0.98 liter of water into another bucket. When they combined their water

into a bigger bucket 10% of the water spilled out. The water they collected had a weight of 1.021 kilograms per liter of water. The expression show below represents the weight, in kilograms, of the water in the bigger bucket. [0.9(0.83 + 0.98)] x 1.021 Rounded to the nearest thousandth, what is the weight, in kilograms, of the water in the bigger bucket?
1.663


1.748


1.763


1.848
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0
I believe that the answer is A.
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8 0
3 years ago
Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact
umka2103 [35]

Solution:

The permutation formula is expressed as

\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\  \end{gathered}

The combination formula is expressed as

\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\  \\  \end{gathered}

where

\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}

Given that 6 objects are taken at a time from 8, this implies that

\begin{gathered} n=8 \\ r=6 \end{gathered}

Thus,

Number of permuations:

\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}

Number of combinations:

\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}

Hence, there are 28 combinations and 20160 permutations.

7 0
1 year ago
Consider the function below. Find f(5)
Komok [63]

Answer:

-3

Step-by-step explanation:

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Answer:

C) The angles in a square measure 90 degrees. The rhombus has obtuse and

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Step-by-step explanation:

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3 years ago
Hello! i need help with this really bad
gizmo_the_mogwai [7]
A is not linear A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

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Not Linear
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2 years ago
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