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Rudiy27
3 years ago
5

Given that events A and B are independent with P(A) = 0.65 and

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

0.80

Step-by-step explanation:

For independent events:

P(A and B) = P(A) P(B)

0.52 = 0.65 P(B)

P(B) = 0.80

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You enter a relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. La
Anarel [89]

Distance to checkpoint A from starting line = 20 yards.

Then from A to B distance = 12 yards.

Let us take starting point C.

So, it would make a right triangle.

We have AB = 12, AC = 20, we need to find BC, that is Hypotenuse of the right triangle.

According to Pythagoras theorem:

BC^2 = AB^2+AC^2

BC^2 = 12^2+20^2

BC^2 = 144 +400 = 544

BC= \sqrt{544}

BC = 23.32.

<h3>Therefore,  23.32 yards is the distance from Checkpoint B to the starting line.</h3>
7 0
3 years ago
Read 2 more answers
A³b² a²b simplify the following expression
liberstina [14]

Answer:

a^{5}b^{3}

Step-by-step explanation:

The law of indices can be used to simplify mathematical expressions involving  arithmetical operation on variables with powers.

a^{m} x a^{n} = a^{(m+n)}

Thus, the given expression can be simplified as follows:

a³b² a²b  = a³ x a² x b² x b^{1}

               = a^{3+2} x b^{2+1}

               = a^{5}b^{3}

Thus,

a³b² a²b  = a^{5}b^{3}

7 0
3 years ago
There are 15 boys and 16 girls in a class room. Write the following ratio: boys to girls
aalyn [17]

Answer:

93.75% i hope that helps

Step-by-step explanation:

7 0
3 years ago
B-4/6 how do I solve this? It's hard
serious [3.7K]
                                     
if you are looking for.... 2(B-4)= (6)b
                                     2b - 8 = 6b
                                     2b - 6b= 8
                                     -4b=8
                                      so b= -2

the question is b-4 divided by 6 equals b/2

8 0
3 years ago
Find the first quartile (Q1) of the data set below.
Zarrin [17]
I think it would be 88
5 0
3 years ago
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