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3 years ago

8 out of 10 dentists prefer Crest toothpaste what is the ratio of dentist who dont prefer crest toothpaste than those who do?

Mathematics

1 answer:

Nata [24]3 years ago

4 0

Answer:

1:4

Step-by-step explanation:

If 8/10 prefer Crest, that means 2/10 don't prefer it.

To find the ratio, put together the number that don't prefer it to the number that does:

2:8

Simplify by dividing each side by 2:

1:4

So, the ratio is 1:4

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Center (8,9) and radius r=10

LekaFEV [45]

Answer:

A. Standard form: $(x-8)^2+(y-9)^2=100$

B. General form: $x^2+y^2-16x-18y+45=0$

Step-by-step explanation:

We have been given that center of a circle is at point (8,9) and radius of our circle is 10 units. We are asked to write the equation of our circle.

A. Since we know that the equation of a circle in standard form is: $(x-h)^2+(y-k)^2=r^2$ , where,

(x,y) = Any point on circle,

(h,k) = Center of the circle,

r = Radius of the circle.

Upon substituting our given values in standard form of circle's equation we will get,

$(x-8)^2+(y-9)^2=10^2$

$(x-8)^2+(y-9)^2=100$

Therefore, the equation of our given circle in standard form will be $(x-8)^2+(y-9)^2=100$ .

B. Since we know that equation of a circle in general form is: $x^2+y^2+Ax+By+C=0$ , where, A, B and C are constants.

Upon expanding our standard form of equation we will get,

$x^2-16x+64+y^2-18y+81=100$

$x^2-16x+64+y^2-18y+81-100=100-100$

$x^2-16x+y^2-18y+64+81-100=0$

$x^2-16x+y^2-18y+45=0$

$x^2+y^2-16x-18y+45=0$

Therefore, the equation of our given circle in general form will be $x^2+y^2-16x-18y+45=0$ .

7 0

3 years ago

A baseball manager has 11 players of the same ability. How many 9 player starting lineups can he

Lana71 [14]

Answer:

Step-by-step explanation:

Combination will be used here as teams are a group.

So using combination:

No. of combination of 'n' things taken 'r' at a time

$\limits^n {C} \,_r$ = $\frac{n!}{r! (n-r)!}$

here n = 11 ,

r = 9

11C9 = $\frac{11!}{9! (11-9)!}$ = $\frac{11!}{9! (2!)}$

11C9 = 55

Which are the possible 9 player starting lineups

4 0

3 years ago

In a game of checkers there are 12 red pieces and 12 black game pieces.Julio is setting up the board to begin playing. what is t

Nookie1986 [14]

It is 12/24 You add all of the numbers, 12 and 12, to get 24. Then there are twelve red checkers so 12/24.

6 0

3 years ago

Read 2 more answers

a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour

Luda [366]

Answer:

4 miles

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the slope of the line?

Basile [38]

Answer:

$\boxed { \frac{1}{2} }$

Step-by-step explanation:

We can find the slope by using rise over run.

Given the coordinate points that are part of the graph.

$(1,4) \\ ( - 1,3)$

$m = \frac{ 4 - 3}{1 - ( - 1)} \\ m = \frac{1}{1 + 1} \\ m = \frac{1}{2}$

Therefore the slope is 1/2.

3 0

3 years ago

Read 2 more answers