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k0ka [10]
3 years ago
9

Each side of the square below is 8 inches. What is the probability that a point chosen at random in the square is in the blue re

gion? 0.25 0.33 0.66 0.75

Mathematics
2 answers:
Maksim231197 [3]3 years ago
7 0
If each side of the square below is 8 inches, the probability that a point chosen at random in the square is in the blue region would be 0.25.
Alexxandr [17]3 years ago
7 0

Answer:

The probability that a point chosen at random in the square is in the blue region will be 0.75.

Step-by-step explanation:

We can see that the blue portion is 3/4 the total image.

So, the probability that a point chosen at random in the square is in the blue region will be 3/4.

\frac{3}{4}= 0.75

Therefore, the answer is 0.75.

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g Given the following premises: (1) a∧(b∨a) (2) ~c→~a (3) ~g→~a (4) g→e (5)~(d∨h) Prove the Conclusion: c∧~h?
KIM [24]

Answer:

See the argument below

Step-by-step explanation:

I will give the argument in symbolic form, using rules of inference.

First, let's conclude c.

(1)⇒a  by simplification of conjunction

a⇒¬(¬a) by double negation

¬(¬a)∧(2)⇒¬(¬c) by Modus tollens

¬(¬c)⇒c by double negation

Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.

An alternative approach to De Morgan's law is the following:

By contradiction proof, assume h is true.

h⇒d∨h by addition

(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.    

8 0
3 years ago
What is the length of an arc with a central angle of 43? radians and a radius of 42 cm? use 3.14 for pi. round to the nearest hu
uysha [10]
L=R*angle, but the angle *must* be in radians. So, just translate 43 degrees into radians: 43 * pi / 180, and you'll get:

L = 42 * ( 43 * pi / 180 ) ~ 31.504666, which rounded to the nearest hundredth is 31.50 cm.
4 0
3 years ago
D · 24 = -12<br> What does d equal?
Darya [45]

Answer: d=-1/2

<u>Move all terms to the left</u>

<u></u>d*24-(-12)=0<u></u>

<u></u>

<u>Add all the numbers together, and all the variables</u>

<u></u>d*24+12=0<u></u>

<u></u>

<u>Multiply elements</u>

<u></u>24d+12=0<u></u>

<u></u>

<u>Move all terms containing d to the left, all other terms to the right</u>

<u></u>24d=-12\\-12/24\\d=-1/2<u></u>

4 0
3 years ago
Read 2 more answers
54.7912 Rounded to the nearest hundredth
kupik [55]

Answer:

54.79 because if it's 4 and lower, you let them stay the same but if its five and above you let them go higher.

6 0
3 years ago
Can someone please check to see if this is correct?..thanks <br> explanation would be appreciated
forsale [732]

Answer:

yes correct

Step-by-step explanation:

given

5x ≥ 3x + 4 ( subtract 3x from both sides )

2x ≥ 4 ( divide both sides by 2 )

x ≥ 2 ← is the solution to the inequality

The only value greater than 2 is 3

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3 years ago
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