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Pepsi [2]
3 years ago
12

Estimate of sum 1.5 and 6.8

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0
Answer: 8.3

Work:

Sum = Addition

So, 1.5+6.8=__

We know that 1+6= 7

And .5+.8= 1.3 (5+8=13 so 1.3)

And 1.3+7=8.3

Answer is 8.3
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Given the coordinates A (5, 7, -2) and B (8, 3, 4) in 3d space, express AB as:
lys-0071 [83]
The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)

(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)

=>

a) a 3 x 1 column =

|  3  |
| -4  |
|  6  |

b) xi + yj + zk

=> 3i - 4j + 6k
4 0
4 years ago
Which fraction is equivalent to 56%?
HACTEHA [7]
14 / 45

56 / 100 reduces to 14 / 45
5 0
3 years ago
Read 2 more answers
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
Find the common difference of the sequence shown.
larisa86 [58]

Answer:

1/6

Step-by-step explanation:

3 0
3 years ago
What is the simplified form of each expression?<br><br> (7 – c)(–1)
Zigmanuir [339]

Answer:

-7+c

Step-by-step explanation:

distribute the - 1

5 0
3 years ago
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