Need help to find the unit rate

Write an equation using this points -2,2,-2

Korvikt [17]

Answer:

2+-2+-2=-2

Step-by-step explanation:

8 0

4 years ago

Given the expression 5x^2y+ 2x - 4xy^2 - 5xy + 9x^2y, select the like term that would combine with 5x^2y.

Sveta_85 [38]

9x^2y would combine with 5x^2y as they have the same exponent and variables

7 0

3 years ago

Tom had $56. He bought a soda for $2 and 2 cookies for $3. Which expression correctly shows the total money Tom has left? A. $56

deff fn [24]

C ($56) - ($2) - ($3)

4 0

3 years ago

Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Vis

Mice21 [21]

Answer:

Step-by-step explanation:

Given that,

Visa card is represented by P(A)

MasterCard is represented by P(B)

P(A)= 0.6

P(A')=0.4

P(B)=0.5

P(B')=0.5

P(A∩B)=0.35

1. P(A U B) =?

P(A U B)= P(A)+P(B)-P(A ∩ B)

P(A U B)=0.6+0.5-0.35

P(A U B)= 0.75

The probability of student that has least one of the cards is 0.75

2. Probability of the neither of the student have the card is given as

P(A U B)'=1-P(A U B)

P(A U B)= 1-0.75

P(A U B)= 0.25

3. Probability of Visa card only,

P(A)= 0.6

P(A) only means students who has visa card but not MasterCard.

P(A) only= P(A) - P(A ∩ B)

P(A) only=0.6-0.35

P(A) only=0.25.

4. Compute the following

a. A ∩ B'

b. A ∪ B'

c. A' ∪ B'

d. A' ∩ B'

e. A' ∩ B

a. A ∩ B'

P(A∩ B') implies that the probability of A without B i.e probability of A only and it has been obtain in question 3.

P(A ∩ B')= P(A-B)=P(A)-P(A∩ B)

P(A∩ B')= 0.6-0.35

P(A∩ B')= 0.25

b. P(A ∪ B')

P(A ∪ B')= P(A)+P(B')-P(A ∩ B')

P(A ∪ B')= 0.6+0.5-0.25

P(A ∪ B')= 0.85

c. P(A' ∪ B')= P(A')+P(B')-P(A' ∩ B')

But using Demorgan theorem

P(A∩B)'=P(A' ∪ B')

P(A∩B)'=1-P(A∩B)

P(A∩B)'=1-0.35

P(A∩B)'=0.65

Then, P(A∩B)'=P(A' ∪ B')= 0.65

d. P( A' ∩ B' )

Using demorgan theorem

P(A U B)'= P(A' ∩ B')

P(A U B)'= 1-P(A U B)

P(A' ∩ B')= 1-0.75

P(A' ∩ B')= 0.25

P(A U B)'= P(A' ∩ B')=0.25

e. P(A' ∩ B)= P(B ∩ A') commutative law

Then, P(B ∩ A') = P(B) only

P(B ∩ A') = P(B) -P(A ∩ B)

P(B ∩ A') =0.5 -0.35

P(B ∩ A') =0.15

P(A' ∩ B)= P(B ∩ A') =0.15

5 0

3 years ago

What is the value of x in the following equation?<br> 4r +6<br> + 3 = -6<br> -6<br> -3

zhuklara [117]

Answer:

x = -6

Step-by-step explanation:

Solve for x:

(4 x + 6)/2 + 3 = -6

Hint: | Put the fractions in (4 x + 6)/2 + 3 over a common denominator.

Put each term in (4 x + 6)/2 + 3 over the common denominator 2: (4 x + 6)/2 + 3 = 6/2 + (4 x + 6)/2:

6/2 + (4 x + 6)/2 = -6

Hint: | Combine 6/2 + (4 x + 6)/2 into a single fraction.

6/2 + (4 x + 6)/2 = ((4 x + 6) + 6)/2:

(4 x + 6 + 6)/2 = -6

Hint: | Add the numbers in 4 x + 6 + 6 together.

Add like terms. 6 + 6 = 12:

(4 x + 12)/2 = -6

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (4 x + 12)/2 = -6 by 2:

(2 (4 x + 12))/2 = -6×2

Hint: | Cancel common terms in the numerator and denominator of (2 (4 x + 12))/2.

(2 (4 x + 12))/2 = 2/2×(4 x + 12) = 4 x + 12:

4 x + 12 = -6×2

Hint: | Multiply 2 and -6 together.

2 (-6) = -12:

4 x + 12 = -12

Hint: | Isolate terms with x to the left hand side.

Subtract 12 from both sides:

4 x + (12 - 12) = -12 - 12

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

4 x = -12 - 12

Hint: | Evaluate -12 - 12.

-12 - 12 = -24:

4 x = -24

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 4 x = -24 by 4:

(4 x)/4 = (-24)/4

Hint: | Any nonzero number divided by itself is one.

4/4 = 1:

x = (-24)/4

Hint: | Reduce (-24)/4 to lowest terms. Start by finding the GCD of -24 and 4.

The gcd of -24 and 4 is 4, so (-24)/4 = (4 (-6))/(4×1) = 4/4×-6 = -6:

Answer: x = -6

4 0

2 years ago