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2 years ago

A bowl contains 28 black,21 red,23 blue,and 10 green balls.A ball is drawn at random. P(blue)

2 answers:

8 0

To find the probability of picking a blue marble, first we add all the marbles together:
28+21+23+10=82

since there are 23 blue marbles in the bag out of a total of 82 marbles, the probability of picking a blue marble is 23/82.

P(blue)= 23/82

hope this helps

Pachacha [2.7K]2 years ago

4 0

P(blue) is 23/82 the sum is 82 and there is 23 blue balls

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Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values $f^{-1}(f(3.14))$ and $f(f(-7))$ .

Solution:

From the given table, it is clear that the function f(x) is defined as:

$f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}$

We know that if (a,b) is in the function f(x), then (b,a) must be in the function $f^{-1}(x)$ . So, the inverse function is defined as:

$f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}$

And,

$f^{-1}(f(a))=f^{1}(b)$

$f^{-1}(f(a))=a$ ...(i)

Using (i), we get

$f^{-1}(f(3.14))=3.14$

Now,

$f(f(-7))=f(-12)$

$f(f(-7))=5$

Therefore, the required values are $f^{-1}(f(3.14))=3.14$ and $f(f(-7))=5$ .

5 0

2 years ago

Solve the inequality. Write the solution in set-builder notation.

Salsk061 [2.6K]

-4x - 17 ≥ -41
 +17 +17
 -4x ≥ -24
 -4 -4
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8 0

2 years ago

If x=-6, which inequality is true ??

Gelneren [198K]

Answer:

The inequality that is true is -5 - 3x > 10.

Step-by-step explanation:

if x = -6

we can subtitution x to every inequality, so :

-5 - 3x > 10

-5 - 3(-6) > 10

-5 - (-18) > 10

-5 + 18 > 10

13 > 10 [true]

-3 - 5x < -14

-3 - 5(-6) < -14

-3 - (-30) < -14

-3 + 30 < -14

27 < -14 [false]

2 - x < -3

2 - (-6) < -3

2 + 6 < -3

8 < -3 [false]

So if x=-6, inequality true is -5 - 3x > 10.

If this was helpful, please mark brainliest. Have a beautiful day.

4 0

2 years ago

A cylinder has a radius of 1 inch and a height of 1 inch. what is the approximate volume of the cylinder round to the nearest hu

melisa1 [442]

Answer:3.14

Step-by-step explanation:

Volume of cylinder can be calculated by using the formula V= pir^2h

Where r is radius of cylinder and h is the height.

A cylinder with radius 1 inch and height of 1 inch is given.

r=1,h=1,π=3.14.

Substituting the given values :

V=3.14(1)^2(1)

Volume of cylinder rounded to nearest tenth is 3.14 cubic inches .

7 0

2 years ago

(xy + 2x2y – x2 + 6x3) – (2xy – 6x2y + 4x2 – 6x3) – ( – 2x3 + x2y) + ( – x3 + 4xy + 3x2y – 2x2)

Mazyrski [523]

Answer: =-2(xy-6y-5)

Step-by-step explanation: multiply -(2xy-6 x 2y+ 4 x 2 -6 x 3) remove the parenthesis -2xy + 12 y - 8 +18 calculate -2xy+12y-8+18 factor the expression -2xy + 12y + 10 solution -2 (xy- 6y-5)

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2 years ago