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3 years ago

In how many ways is it possible to sit 8 people at a round table if Alex and Bob

Mathematics

1 answer:

SpyIntel [72]3 years ago

3 0

Answer:

The answer to "must sit exactly one seat away" and "must sit exactly two seats away" will be the same, but "must sit directly opposite" will be different.

Step-by-step explanation:

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julian walked a distance of 2 meters. keira walked a distance of 300 centimeters, which distance is longer?

zlopas [31]

300 cm is longer, since 100cm=1 meter

6 0

3 years ago

Read 2 more answers

A complete table with values for x or y that make this equation true:3x+y=15

Reika [66]

Answer:

Table is attached

Step-by-step explanation:

We are given equation as

$3x+y=15$

We will complete each column

First column:

we are given x=2 and we have to find y

$3\times 2+y=15$

$6+y=15$

$y=9$

Second column:

we are given y=3 and we have to find x

$3x+3=15$

$3x=12$

$x=4$

Third column:

we are given x=6 and we have to find y

$3\times 6+y=15$

$18+y=12$

$y=-6$

Fourth column:

we are given x=0 and we have to find y

$3\times 0+y=15$

$0+y=15$

$y=15$

Fifth column:

we are given x=3 and we have to find y

$3\times 3+y=15$

$9+y=15$

$y=6$

Sixth column:

we are given y=0 and we have to find x

$3x+0=15$

$3x=15$

$x=5$

Seventh column:

we are given y=8 and we have to find x

$3x+8=15$

$3x=7$

$x=\frac{7}{3}$

now, we can complete table

8 0

3 years ago

In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,

kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

$P(X)=^nC_x\ p^x(1-p)^{n-x}$ , here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

$P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840$

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0

3 years ago

PLLLLLLEEEEAAAAAAASSSSSSEEEEEE HEEELLLLLPPPPPP

uysha [10]

1.-5*2+10=0 : this is the answer

2. 1-5(7)=-34 =/= 4
1-10=-9 =/= 1
-4(7)+3=-25 =/= 1
-7+8=1 : this is the answer

3. the slope is $\frac{-10-(-5)}{-9-(-2)}= \frac{5}{7}$ . Answer C

8 0

2 years ago

Read 2 more answers

A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,

Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

= x²y cubic feet

1000 = x²y

y = $\frac{1000}{x^2}$ -------(1)

Material used in the prism = Surface area of the rectangular prism

= 2(lb + bh + hl)

Here, h = height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

S = 2(x² + 2xy) - x²

S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + $2x(\frac{1000}{x^{2} })$

= x² + $\frac{2000}{x}$

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - $\frac{2000}{x^{2} }$

2x - $\frac{2000}{x^{2} }$ = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = $\frac{1000}{(10)^2}$

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0

3 years ago