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coldgirl [10]
3 years ago
8

Does choosing a blue marble represent the complement event of choosing a red marble? Explain.

Mathematics
2 answers:
Ivan3 years ago
6 0

choosing a blue marble does not represent the complement event of choosing a red marble because 2/5 ≠ 4/5.

<u>Step-by-step explanation:</u>

There are 2 blue marbles, 1 red marble, and 2 purple marbles.

The total number of marbles ⇒ 2 blue + 1 red + 2 purple = 5 marbles.

<u>To find the probability of choosing a blue marble :</u>

P (blue) = No.of blue marbles / Total marbles

⇒ 2 / 5

<u>To find the complement event of choosing a red marble :</u>

  • Complement of an Event is defined as all the outcomes that are NOT the event.
  • So the Complement of an event is all the other outcomes (not the ones we want).

Complement of choosing red ⇒ P (not getting red marble)

P (not getting red marble) = No.of marbles other than red / Total marbles

⇒ 4 / 5

Therefore, P(blue) is not equal to P(not getting a red).

⇒ 2/5 ≠ 4/5

So, choosing a blue marble does not represent the complement event of choosing a red marble.

ludmilkaskok [199]3 years ago
4 0

Answer:

Sample Response: The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.

Step-by-step explanation:

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2 years ago
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Which situation can be represented by 3s = 5s - 6 ?
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3s=5s-6

8 0
3 years ago
Graph triangle RST with vertices R(3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over x = -3.​
kirill115 [55]

Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

(x,y)\to (-(x-a)+a,y)

(x,y)\to (-x+a+a,y)

(x,y)\to (2a-x,y)

The triangle after a reflection over x = -3. So, the rule of reflection is

(x,y)\to (2(-3)-x,y)

(x,y)\to (-6-x,y)

The vertices of triangle after reflection are

R(3,7)\to R'(-6-3,7)

R(3,7)\to R'(-9,7)

Similarly,

S(-5,-2)\to S'(-6-(-5),-2)

S(-5,-2)\to S'(-6+5,-2)

S(-5,-2)\to S'(-1,-2)

And,

T(3,-5)\to T'(-6-3,-5)

T(3,-5)\to T'(-9,-5)

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

3 0
2 years ago
The top of a storage container is a hemisphere with a diameter of 28 feet. What is the volume of the storage container? Round yo
creativ13 [48]

Answer:

5749.3 cubic feet

Step-by-step explanation:

The volume of the  storage container would be defined by the volume of the shape; a hemisphere

The volume V of  a hemisphere is given as

V = 2/3 π r^3

where r is the radius of the hemisphere

Given that the diameter is 28 feet, the radius = 14 feet

hence the volume

= 2/3 * π * 14^3

= 5749.333333

To the nearest tenth

= 5749.3 cubic feet

5 0
2 years ago
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