Please show work too I really need help

Andre and Diego were each trying to solve 2x+6=3x-8 Describe the first step they each make to the equation

avanturin [10]

The first step was the combine the like terms; in this example he is subtracting the 3x on both sides of the =.

If you were to solve the equation it would look like this:

2x+6=3x-8
-3x -3x

-x+6=-8
-6 -6

-x=-14
/-1 /-1

x=14

6 0

3 years ago

Please help me solve my problem!!!

Vera_Pavlovna [14]

Answer:

The answer to this problem is True.

7 0

3 years ago

Professor Sanchez has been teaching Principles of Economics for over 25 years. He uses the following scale for grading. Grade Nu

Tasya [4]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Professor Sanchez has been teaching Principles of Economics for over 25 years. He uses the following scale for grading. Grade Numerical Score Probability A 4 0.090 B 3 0.240 C 2 0.360 D 1 0.165 F 0 0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Answer:

a. Cumulative Probability Distribution

Grade P(X ≤ x)

F 0.145

D 0.310

C 0.670

B 0.910

A 1

b. P(at least B) = 0.330

c. P(pass) = 0.855

Step-by-step explanation:

Professor Sanchez has been teaching Principles of Economics for over 25 years.

He uses the following scale for grading.

Grade Numerical Score Probability

A 4 0.090

B 3 0.240

C 2 0.360

D 1 0.165

F 0 0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

The cumulative probability distribution is given by

Grade = F

P(X ≤ x) = 0.145

Grade = D

P(X ≤ x) = 0.145 + 0.165 = 0.310

Grade = C

P(X ≤ x) = 0.145 + 0.165 + 0.360 = 0.670

Grade = B

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 = 0.910

Grade = A

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 + 0.090 = 1

Cumulative Probability Distribution

Grade P(X ≤ x)

F 0.145

D 0.310

C 0.670

B 0.910

A 1

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

At least B means equal to B or greater than B grade.

P(at least B) = P(B) + P(A)

P(at least B) = 0.240 + 0.090

P(at least B) = 0.330

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Passing the course means getting a grade of A, B, C or D

P(pass) = P(A) + P(B) + P(C) + P(D)

P(pass) = 0.090 + 0.240 + 0.360 + 0.165

P(pass) = 0.855

Alternatively,

P(pass) = 1 - P(F)

P(pass) = 1 - 0.145

P(pass) = 0.855

4 0

3 years ago

A bag contains 3 red balls and 1 blue ball. A second bag contains 1 red ball and 1 blue ball. A ball is randomly picked from eac

Firlakuza [10]

Answer:

"2.82" seems to be the correct solution.

Step-by-step explanation:

As we know,

A bag (Bag A) contains,

Red balls = 3

Blue ball = 1

A second bag (Bag B) contains,

Red balls = 1

Blue ball = 1

Now,

⇒ P(Bag A, red ball) = $P(A)\times P(r)\times P(r)$

On substituting the values, we get

⇒ = $\frac{1}{2}\times \frac{3}{4}\times \frac{2}{3}$

⇒ = $\frac{1}{4}$

Similarly,

Probability of second bag will be:

⇒ P(Bag B) = $\frac{1}{2}$

hence,

In the first bag (Bag A), the expected number of red balls will be:

⇒ $E(n)=\Sigma P(n)\times n$

On substituting the values, we get

⇒ $=3 (\frac{1}{4})+2(\frac{1}{8} )+4(\frac{1}{24} )+3(\frac{1}{12} )+3(\frac{4}{20} )+4(\frac{1}{20} )+2(\frac{3}{20} )+\frac{2}{20}$

⇒ $= \frac{169}{60}$

⇒ $=2.82$

7 0

3 years ago

A gallon of orange juice costs $5.50 per gallon. What is the cost per cup of orange juice? What is the cost per fluid ounce of o

I am Lyosha [343]

Answer:

27.5

Step-by-step explanation:

5x5.50=27.5

5 0

3 years ago