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nevsk [136]
3 years ago
11

Add the following polynomials:

Mathematics
1 answer:
eduard3 years ago
3 0
6x^4 -2x^3 +26x^2+x+14
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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
What is the discriminant of 3х^2 + 6x = 2?
Bezzdna [24]

Answer:

Δ = 60

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0

Then the discriminant

Δ = b² - 4ac

Given

3x² + 6x = 2 ( subtract 2 from both sides )

3x² + 6x - 2 = 0 ← in standard form

with a = 3, b = 6 and c = - 2

b² - 4ac = 6² - (4 × 3 × - 2) = 36 - (- 24) = 36 + 24 = 60

7 0
3 years ago
There are six glass bottles and eight plastic bottles on a rack. If one is chosen at random, what is the probability of picking
ruslelena [56]
The probability of you picking a glass bottle is 3/7 
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3 years ago
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Tommy is a video game designer at a new start-up company. How much does he make per month?
Ostrovityanka [42]
7,103 monthly is what he makes
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2 years ago
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Express the number 20000 as a single digit integer times a power of 10
PolarNik [594]
The answer is 2 x 10^4 or 2 to the power of 4 (4th power) where;
2  x 10 x 10 x 10 x 10
2 x 10 =20
20 x 10= 200
200 x 10 = 2000
2000 x 10 = 20 000

Expressing a number to a single digit integer times a power of 10 is also writing a number in scientific form,where the number is multiplied by 10 to nth "power". Scientific notation is also called standard index form whereby, too large or too big numbers.
In writing the scientific notation of a number it follows this form: m x 10^n ( m is multiplied to 10 to the power of n)  where, m, the coefficient, is the real number and n is the exponent integer.<span><span /></span>

3 0
3 years ago
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