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4 years ago

ASAP! PLZ PLZ HELP ME WILL GIVE BRAINLIEST IF FULLY CORRECT!!

Mathematics

1 answer:

NISA [10]4 years ago

8 0

Answer:

a. 0.6975

b. 0.25

c. The events are independent and inclusive

Step-by-step explanation:

a. The proportion of five-star football recruits in the nation that go to universities in the three most competitive athletic conferences = 75%

Therefore, the probability of a five-star football recruits chooses to go to a university in the three most competitive athletic conferences p(A) = 75% or 0.75

The proportion of the times five-star football recruits get full football scholarships = 93%

Therefore, the probability that a five-star football recruit get full football scholarships p(B) = 93% or 0.93

Therefore, the probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship can be written as -the probability that a randomly selected five-star recruit who chooses one of the best three conferences and will be offered a full football scholarship is therefore;

p(A) ∩ p(B) = p(A) × p(B) = 0.75×0.93 = 0.6975

b. The probability that a randomly selected five star recruit will not select a university from one of the three best conferences = 1 - p(A) = 1 - 0.75 = 0.25

c. The events are independent as the given probability of occurrence of one event does not alter the probability of the other event

The events are inclusive events are exclusive events as P(A)and P(B) can take place simultaneously.

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Plzz help if right i give brainliest

bija089 [108]

Answer:

b. (x+6)(x-6)

Step-by-step explanation:

x^2-36 So to get to this answer you can do two things

1. Guess and check

2. Factor it out (which is what I like to do)

In order to get x^2 you need 2xs that are positive which knocks out c and d

Then to get to -36, you need to multiply a positive 6 and a negative 6

(This was poorly explained but if you need anymore help just lmk)

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3 years ago

The research group asked the following question of individuals who earned in excess of $100,000 per year and those who earned l

Evgen [1.6K]

Answer:

they should

Step-by-step explanation:

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3 years ago

Graph the function y = 4x4 – 8x2 + 4. Which lists all of the turning points of the graph?

Serhud [2]

Answer:

$4(x + 1)^{2}(x - 1)^{2}$

Step-by-step explanation:

STEP 1:

The equation at the end of step 1

$((4 (x^4)) - 2^3x^2) + 4$

STEP 2:

The equation at the end of step 2:

$(2^2x^4 - 2^3x^2) + 4$

STEP 3:

STEP 4: Pulling out like terms

<u>4.1</u> Pull out like factors:

$4x^4 - 8x^2 + 4 = 4(x^4 - 2x^2 + 1)$

Trying to factor by splitting the middle term

<u>4.2</u> Factoring $x^4 - 2x^2 + 1$

The first term is, $x^4$ its coefficient is 1.

The middle term is, $-2x^2$ its coefficient is -2.

The last term, "the constant", is +1.

Step-1: Multiply the coefficient of the first term by the constant 1 • 1 = 1

Step-2: Find two factors of 1 whose sum equals the coefficient of the middle term, which is -2.

-1 + -1 = -2 That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and -1

x4 - 1x2 - 1x2 - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

x2 • (x2-1)

Add up the last 2 terms, pulling out common factors :

1 • (x2-1)

Step-5 : Add up the four terms of step 4 :

(x2-1) • (x2-1)

Which is the desired factorization

Trying to factor as a Difference of Squares:

4.3 Factoring: x2-1

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check : x2 is the square of x1

Factorization is : (x + 1) • (x - 1)

Trying to factor as a Difference of Squares:

4.4 Factoring: x2 - 1

Check : 1 is the square of 1

Check : x2 is the square of x1

Factorization is : (x + 1) • (x - 1)

Multiplying Exponential Expressions:

4.5 Multiply (x + 1) by (x + 1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+1) and the exponents are :

1 , as (x+1) is the same number as (x+1)1

and 1 , as (x+1) is the same number as (x+1)1

The product is therefore, (x+1)(1+1) = (x+1)2

Multiplying Exponential Expressions:

4.6 Multiply (x-1) by (x-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-1) and the exponents are :

1 , as (x-1) is the same number as (x-1)1

and 1 , as (x-1) is the same number as (x-1)1

The product is therefore, (x-1)(1+1) = (x-1)2

Final result :

4 • (x + 1)2 • (x - 1)2

4 0

3 years ago

Read 2 more answers

tims math homework is on five consecutive pages in the math textbook, and the sum of those page numbers is 630. what is the page

Brrunno [24]

Answer:129

Step-by-step explanation:

630/5 is 126. Add 126, two numbers below it, and two above it. So, 124+125+126+127+128=630. The next page is 129

3 0

3 years ago

Find the sum of even numbers from 34 to 234 inclusive

valentinak56 [21]

We have

AP = 34,36,38......,234

a, (first term) = 34

n ( total terms ) =?

d ( common difference ) = 2

so, a +(n-1)d =an

34+(n-1)*2 = 234

(n-1)2 = 234-34

n-1 = 200/2

n = 100+1

n =101

Now sum of the even no.

Sn = n/2( 2a+9n-1)d)

= 101/2 (2*34 +100*2)

= 101/2 * 268

=101 *134

= 13534

7 0

3 years ago