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Phantasy [73]
3 years ago
11

A lottery game has balls numbered 1 through 21. What is the probability of selecting an even numbered ball or an 8? Round to nea

rest thousandth
Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer: 0.476

Step-by-step explanation:

Let A = Event of choosing an even number ball.

B = Event of choosing an 8 .

Given, A lottery game has balls numbered 1 through 21.

Sample space: S= {1,2,3,4,5,6,7,8,...., 21}

n(S) = 21

Then, A= {2,4,6,8, 10,...(20)}

i.e. n(A)= 10

B= {8}

n(B) = 1

A∪B = {2,4,6,8, 10,...(20)} = A

n(A∪B)=10

Now, the probability of selecting an even numbered ball or an 8 is

P(A\cup B)=\dfrac{n(A\cup B)}{n(S)}

=\dfrac{10}{21}\approx0.476

Hence, the required probability =0.476

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Find your mass if a scale on Earth reads 650N when you stand on it.
anygoal [31]

Answer:

66.26 kg

Step-by-step explanation:

weight = mass x g ; where g = acceleration due to gravity = 9.81 m/s²

mass = weight ÷ g

given, weight = 650 N

mass = 650 / 9.81 = 66.26 kg

8 0
3 years ago
What is the following product? square root 30 times square root 10
egoroff_w [7]

Answer:

D. 10 square root 3 is your answer

Step-by-step explanation:

Here is what you do.

<em>square root 30 = 3 x 2 x 5 </em>

<em>square root 10 = 2 x 5</em>

Add them together.

<em>3 x 2 x 2 x 5 x 5 </em>

<em>3 x 4 x 25.</em>

4 and 25 can come out of the square root.

<em>2 x 5 = 10</em>

10 square root 3 is your answer.

4 0
2 years ago
In the diagram below of regular pentagon ABCDE,<br> EB is drawn.<br><br> What is the measure of AEB?
Drupady [299]

Answer:

36°

Step-by-step explanation:

< EAB = 180 - (360/5) = 180-72=108°

so, < AEB = (180-108)/2 = 72/2 = 36°

6 0
2 years ago
alicia and her friends Brittany, Kenji and Ellis are taking a pottery class. The four friends have to share 3 blocks of clay. Ho
ki77a [65]
You need to divide the 3 blocks of clay by the 4 friends. 3 goes in the dividend and the 4 is outside. 3 divided by 4 is equal to 0.75 or 3/4, so each friend gets 0.75 or 3/4 clay
7 0
3 years ago
Help! asap!
grigory [225]

The measure of angle 3 from the figure is 110 degrees

<h3>Lines and angles</h3>

An angle is the intersection between two lines. From the given figure, we have the following parameters

m∠1= 40°,

m∠2= 70°.

Required

Measure of angle 3

The sum of the interior angles of the triangle is equal to the exterior

Sum of interior = <1 + <2

Sum of interior = 40 + 70

Sum of interior =110 degrees

Hence the measure of angle 3 from the figure is 110 degrees

Learn more on lines and angles here: brainly.com/question/25770607

#SPJ1

3 0
1 year ago
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