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3 years ago

Please help asap i will mark branlist please explain both question

Mathematics

1 answer:

Allisa [31]3 years ago

5 0

Answer:

5. C. {(22, 10), (23, 10), (24, 7), (25, 5)}

6. C. x = -2

Step-by-step explanation:

A relation is not a function if a vertical line intersects a graph of it in more than one place.

5. A set of ordered pairs is <u>not</u> a function if any of the first-values is repeated.

In set A, (22, ) is repeated.

In set B, (23, ) is repeated.

In set D, (24, ) is repeated.

In set C, no first-value is repeated, so the relation is a function.

6. The line x=-2 is a vertical line, so a vertical line intersect it in an infinite number of places. It is NOT a function.

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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

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7 0

2 years ago

The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumferenc

avanturin [10]

9514 1404 393

Answer:

2πr cm

Step-by-step explanation:

The circumference of a circle of radius r is ...

C = 2πr

For a radius of (r cm), the circumference is ...

A = 2π(r cm) = 2πr cm

For a radius of (2r cm), the circumference is ...

B = 2π(2r cm) = 4πr cm

Then the difference between the circumferences is ...

B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference

3 0

3 years ago

How you do multiply complex numbers ? Example : (9 - 4i) (8 + 6i)

Andrew [12]

You multiply them just as you would multiply any normal polynomials, except there is a special rule. Since we know that i = √-1, the rule is that i² = -1. So, let's multiply:

$(9-4i)(8+6i) = 72+54i-32i-24i^2$

Let's simplify this:

$72+22i+(-24*-1)$

$72+22i+24 = 96+22i$

Therefore, your answer is 96 + 22i.

6 0

3 years ago

Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?

Yakvenalex [24]

Answer:

The algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12

Step-by-step explanation:

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

for example :-

3x + 4y – 7, 4x – 10, etc.

These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign

let the quantity mentioned in the question be 'x'

therefore according to the statement the algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12 is

⇒2x - 12 (answer)