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statuscvo [17]
3 years ago
10

A bag contains 5 red marbles and 10 blue marbles. What is the probability of randomly selecting a red marble from the bag?

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

5 red marbles + 10 blue marbles = 15 total marbles

5 red marbles / 15 total marbles = 5/15

5/15 = 1/3

olchik [2.2K]3 years ago
4 0

Answer:

\frac{1}{3}

Step-by-step explanation:

Total marbles = 5 + 10

                       = 15

There are 15 total marbles.

5 marbles are red.

\frac{5}{15} =\frac{1}{3}

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WILL MARK BRAINLIEST!!!!!
statuscvo [17]

The shape with a rotational symmetry would remain the same when rotated

The shape with the smallest angle of rotational symmetry of 180 degrees is shape D

<h3>How to determine the shape?</h3>

To do this, we simply examine each of the options

<u>Shape A: Cross</u>

The shape has 4 equal sides.

So, the smallest angle of rotational symmetry is:

Angle = 360/4

Angle = 90

The smallest angle of rotational symmetry is 90 degrees

<u>Shape B: Star</u>

The shape has 5 vertices.

So, the smallest angle of rotational symmetry is:

Angle = 360/5

Angle = 72

The smallest angle of rotational symmetry is 72 degrees

<u>Shape C: Composite figure</u>

This shape has a square and a triangle merged together at two ends

This means that the smallest angle of rotational symmetry is a complete rotation of 360 degrees

<u>Shape D: Circle</u>

The circle is divided into two equal segments.

The angle on the straight line of each segment is:

Angle = 360/2

Angle = 180

The smallest angle of rotational symmetry is 180 degrees

Hence, the shape with the smallest angle of rotational symmetry of 180 degrees is shape D

Read more about rotational symmetry at:

brainly.com/question/12214455

8 0
2 years ago
Determine the slope of the line that contains the given points <br><br> J(-5, -2), K(5, −4)
Irina-Kira [14]

Answer:

-\frac15

Step-by-step explanation:

Hello!

We can utilize the slope formula to find the slope.

Slope Formula: S = \frac{y_2-y_1}{x_2-x_1}

Remember that a coordinate is written in the form (x,y)

<h3>Find the Slope</h3>
  • S = \frac{y_2-y_1}{x_2-x_1}
  • S = \frac{-4-(-2)}{5-(-5)}
  • S = \frac{-2}{10}
  • S = -\frac15

The slope of the line is -\frac15.

4 0
2 years ago
Read 2 more answers
A frisbee has a diameter of 7.5 inches. What is its area in terms of inches?
Schach [20]
The area is 44.18 , hope this helps
3 0
3 years ago
rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t
ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

y=h+ut+\frac{1}{2}at^2

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

a=g=-9.8 m/s^2 is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

11=23+27t-4.9t^2\\4.9t^2-27t-12=0

This is a second-order equation, which has solutions:

t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}

So

t_1 = -0.41 s

t_2=5.92 s

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

brainly.com/question/1748290

brainly.com/question/11042118

brainly.com/question/2455974

brainly.com/question/2607086

#LearnwithBrainly

8 0
3 years ago
Write these fractions in least common denominator2/5x+15y 1/2x+6y
Over [174]
Look at deonomators

assuming that the deonomenators are 5x+15y and 2x+6y

find their LCM
factor

5x+15y=5(x+3y)

2x+6y=2(x+3y)

LCM=10(x+3y)=10x+30y

multiply 2/(5x+15y) by 2/2=4/(10x+30y)
multiply 1/(2x+6y) by 5/5=5/(10x+30y)

if we add them
9/(10x+30y)
3 0
3 years ago
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