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Ilya [14]
3 years ago
8

Simplify 8 - {x - (5 + x)}.

Mathematics
2 answers:
Luda [366]3 years ago
8 0
=-2x+3 is the answer


SpyIntel [72]3 years ago
6 0

Answer:

13

Step-by-step explanation:

Simplify 8 - {x - (5 + x)}

We need to simplify 8-(x- (5+x))

To simplify it we need to use order of operation

Order of operation is PEMDAS

Parenthesis , exponents , multiply , divide , add and subtract

So first we start with parenthesis

8-(x- (5+x))

multiply negative sign inside the parenthesis

8-(x-5-x)

combine like terms x-x becomes 0

8-(-5))

8+5

13

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You want to wrap a gift shaped like the regular triangular prism shown. How many
kotegsom [21]

Answer:

697.6 \ in^2

Step-by-step explanation:

-Given the dimensions of the box is 8.7 in, 14 in and 10 in.

Let length=14 in, width=10 in and height =8.7 in

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Surface \ Area=2(wl+hl+hw)\\\\l=length, w=width, h=height\\\\\therefore Surface \ Area=2(14\times 10+10\times 8.7+14\times 8.7)\\\\=697.6 \ in^2

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8 0
3 years ago
BRAINLYEST
iVinArrow [24]

Given:

The data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

To find:

Effect on mean, median, range after removing the outlier, 35.

Solution:

We have, the data set

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17+35}{17}

\text{Mean}=\dfrac{257}{17}

\text{Mean}=15.117647

\text{Mean}\approx 15.12

Mean of the data set is 15.12.

Median=\dfrac{n+1}{2}\text{th term} because n=17, which is odd.

Median=\dfrac{17+1}{2}\text{th term}

Median=\dfrac{18}{2}\text{th term}

Median=9\text{th term}

Median=14

Median is 14.

Range=Maximum-Minimum

Range=35-10

Range=25

Range is 25.

After removing the outlier, 35, the data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17

\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17}{16}

\text{Mean}=\dfrac{222}{16}

\text{Mean}=13.875

Mean of the new data set is 13.875, which is less than 15.12.

Median=\dfrac{\dfrac{n}{2}\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2} because n=16, which is even.

Median=\dfrac{\dfrac{16}{2}\text{th term}+(\dfrac{16}{2}+1)\text{th term}}{2}

Median=\dfrac{8\text{th term}+9\text{th term}}{2}

Median=\dfrac{14+14}{2}

Median=\dfrac{28}{2}

Median=14

New median is 14, which is same as original median.

Range=17-10

Range=7

So, the new range is 7 which is less than 25.

Therefore, the mean of the data set will decrease, the median of the data set will not change, the Range of the data set will decrease.

5 0
3 years ago
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