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olganol [36]
3 years ago
14

What is pythagoras theorem​

Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer:

hypotenuse²=base²x height²

Step-by-step explanation:

It is used to find the third side of a triangle.

Hope it helps :)

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From the sample space S​={1,2,3,4,...,15} a single number is to be selected at random. Given the following​ events, find the ind
marshall27 [118]

The probabilities of the given events are:

A. P(even) = P(A) = 7/15

B. P(multiple) = P(B) = 3/15

C. P(prime) = 6/15

D. P(B|A) = 3/7

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes of an event to the total number of possible outcomes.

P(E) = n(E)/n(S)

<h3>Calculation:</h3>

The given sample space is S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

So, n(S) = 15

A. The selected number is even:

Consider the event as A.

The set of even numbers in the given sample is {2,4,6,8,10,12,14}

So, n(A) = 7

Then, the required probability is

P(A) = n(A)/n(S)

       = 7/15

B. The selected number is a multiple of 4:

Consider the event as B.

The set of multiples of 4 in the given sample is {4,8,12}

So, n(B) = 3

Then, the required probability is

P(B) = n(B)/n(S)

       = 3/15

C. The selected number is prime:

Consider the event as C.

The set of prime numbers in the given sample is {2,3,5,7,11,13}

So, n(C) = 6

Then, the required probability is

P(C) = n(C)/n(S)

       = 6/15

D. calculate P(B|A):

Since events B and A are dependent events of the same sample,

n(A∩B) = 3 and the set is {4,8,12}. Then, P(B|A) is

P(B|A) = n(A∩B)/n(A)

⇒ P(B|A) = 3/7

Learn more about the probabilities here:

brainly.com/question/251701

#SPJ1

7 0
2 years ago
I am thinking of a number x. what algebraic expression represents 7 less than three times this number?
sammy [17]

Step-by-step explanation:

Answer: 3x-7

Explanation: x times 3

(3x)

subtracted by 7

(3x-7)

Is this what you are looking for?

8 0
3 years ago
The quadratic regression equation that models these data is y = –0.34x2 + 4.43x + 3.46. Using the quadratic regression equation,
arsen [322]

Answer:

13.76

Step-by-step explanation:

We want year 10; this means we substitute 10 in place of x:

y=-0.34(10²)+4.43(10)+3.46

y = -0.34(100)+4.43(10)+3.46

y = -34+44.3+3.46 = 13.76

3 0
3 years ago
Read 2 more answers
What grade average is 79.2 out of 120​
mina [271]

Answer:

66%

Step-by-step explanation:

Divide 79.2 by 120 and multiply by 100

3 0
3 years ago
Read 2 more answers
(Cosx)/(1+sinx) - (1+sinx)/(cos) solve
Rina8888 [55]
2/cos x 

........................


8 0
3 years ago
Read 2 more answers
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