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2 months ago

Guest #1991

2 months ago

There are 36 possible outcomes.

There are 6 outcome for the first die and 6 outcomes for the second die. The fundamental counting principle states that to find the total number of outcomes of these independent events, we multiply:

6(6) = 36

There are 6 outcome for the first die and 6 outcomes for the second die. The fundamental counting principle states that to find the total number of outcomes of these independent events, we multiply:

6(6) = 36

Question

a $1,400 loan has a simple annual interest rate 4%. how much simple interest is paid on the loan for 1 year?

Solution 1

+56 dollars more on year one

Question

the point (-3,2)is on the line given by which equation below A. y = 3x B.y = x-5 C.y = x+5 D.y = - 3 x need asap

Solution 1

The answer is C. y=x+5

Question

A system of equations is shown below: Equation A: 4c = d − 8 Equation B: c = 5d + 8 Which of the following steps should be performed to eliminate variable d first? A. Multiply equation B by 4
B. Multiply equation A by -5
C. Multiply equation A by 4
D. Multiply equation B by 5

Solution 1

Equation A: 4c = d − 8

Equation B: c = 5d + 8

Multiply Equation A by -5:

Equation A: - 20c = -5d + 40

Equation (1) + (2) :

-19c = 48

**Answer: ****B. Multiply equation A by -5**

Equation B: c = 5d + 8

Multiply Equation A by -5:

Equation A: - 20c = -5d + 40

Equation (1) + (2) :

-19c = 48

Question

The baseball team has a double-header on Saturday. The probability that they will win both games is 18%. The probability that they will win just the first game is 60%, What is the probability that the team will win the 2nd game given that they have already won the first game?

Solution 1

Let the event to win the first game is F and to win the second game is S.

This question is from **conditional probability **and hence we use the below formula.

Now, we have been given that

On substituting these given values in the formula, we get

**Therefore, the probability for winning the second game is 30%**

Solution 2

I got 30%

60% as a decimal is 0.6

18% as a decimal is 0.18

0.6 times 30% or 0.3 is 0.18

60% as a decimal is 0.6

18% as a decimal is 0.18

0.6 times 30% or 0.3 is 0.18

Question

A warden meets with 23 prisoners. He tells them the following: Each prisoner will be placed into a room numbered 1-23. Each will be alone in the room, which will be soundproof, lightproof, etc. In other words, they will NOT be able to communicate with each other.
They will be allowed one planning session before they are taken to their rooms.
There is a special room, room 0. In this room are 2 switches, which can each be either UP or DOWN. They cannot be left in between, they are not linked in any way (so there are 4 possible states), and they are numbered 1 and 2. Their current positions are unknown.
One at a time, a prisoner will be brought into room 0. The prisoner MUST change one and only one switch. The prisoner is then returned to his cell.
At any time t, given some N>0, there exists a finite t_0 by which time every prisoner will have visited room 0 at least N times. (In other words, there is no fixed pattern to the order or frequency with which
prisoners visit room 0, but at any given time, every prisoner is guaranteed to visit room 0 again. If you’re still confused by this statement, ignore it, and you should be ok).
At any time, any prisoner may declare that all 23 of them have been in room 0. If right, the prisoners go free. If wrong, they are all executed.
What initial strategy is 100% guaranteed to let all go free?

Solution 1

The prisoners could do a pattern that could signal who has already been in the room. So for example, one light off, both lights off, one light on, both lights off. But with left and right lights to make the sequence last as long as possible. Then after that sequence to have the last one be the signal that everyone has been in there. I dunno this is tricky lol

Question

A circle has a center at (1,-2) and radius of 4. Does the point (3.4,1.2) lie on the circle? Justify your answer.

Solution 1

Yes. (3.4, 1.2) is 4 units away from (1, -2).

Question

The base of a rectangular prism has an area of 173.6 square centimeters and a height of 9 centimeters. What is the volume, in cubic centimeters, of the right rectangular prism?

Solution 1

Volume=legnth tiems width times heigiht

legnth times widht=base area

volume=base area times hgiehg

base area=173.6

height=9

volume=173.6 times 9

volume=1562.4

answer isi 1562.4 cm^3

legnth times widht=base area

volume=base area times hgiehg

base area=173.6

height=9

volume=173.6 times 9

volume=1562.4

answer isi 1562.4 cm^3

Question

The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6

Solution 1

I think the answer is 6

Solution 2

**Answer:**

The correct answer is 6.

**Step-by-step explanation:**

I just did this question as well and 6 was the correct answer. Hope this helped :)

Question

The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6

Solution 1

Out of the ordered pair the 2 would be the x so you would need to plug in 2 for x in the equation so it would look like this

y=2(2)+2

finally solve for y

4+2

6=y

6 is your answer

y=2(2)+2

finally solve for y

4+2

6=y

6 is your answer

Solution 2

**Answer:**

6

**Hope I helped :3**

Question

What is the probability of rolling a 1 with a number cube that has the numbers 1, 2, 3, 4, 5, and 6 and tossing heads with a coin? A. 1/12
B. 1/8
C. 1/2
D. 2/3

Solution 1

Probablity is (desired outcomes)/(total) possible outcomes so the dice 1 is desired and the total poassible outcomes is 6 since 6 numbers so probailty of rolling a 1 is 1/6 then flippin heads desired outcome=1 total possible=2 probabilty is 1/2 so we have 1/6 and 1/2 now we mulitply them 1/6 times 1/2=1/12 the answer is A

Solution 2

A. 1/12

Probability of tossing dice= 1/6

Probability of tossing coin= 1/2

Find least common denominator and mutiply : 1/2*1/6= 1/12

Probability of tossing dice= 1/6

Probability of tossing coin= 1/2

Find least common denominator and mutiply : 1/2*1/6= 1/12

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