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podryga [215]
3 years ago
5

Lucia and Marcus are playing a board game. They roll 2 dice (number cubes) to see who goes first. The person who rolls the highe

st sum gets to go first. If there is a tie, they each roll the dice again. Lucia went first and she rolled a 4 and a 1. Find the probability that Marcus will not get to go immediately after he rolls the dice. Show all of your work below. Express your answer as a fraction in simplest form, a decimal and a percent.
15points
Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0

Ans

Step-by-step explanation:

                                   

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What is the 52nd term of the sequence below?
VladimirAG [237]
Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d.  Which in this case is -35--38=-32--35=3

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.

In this case a=-38 and d=3 so

a(n)=-38+3(n-1)  which we can simplify to

a(n)=-38+3n-3

a(n)=3n-41, so the 52nd term is:

a(52)=3(52)-41

a(52)=156-41

a(52)=115
3 0
3 years ago
Using the letters suggested, construct a simple formula:
kompoz [17]

Answer:

Speed = distance / time

Time = distance/ Speed

Distance = Speed x time

8 0
3 years ago
What is the length of the rectangle?
gregori [183]

Step-by-step explanation:

area \: of \: rectangle \:  = 60 \:  {yards}^{2}  \\  \therefore \: (w + 4) \times \: w = 60\\  \\  \therefore \:  {w}^{2}  + 4w -60 = 0 \\  \\  \therefore \: {w}^{2}  + 10w - 6w -60 = 0 \\  \\   \therefore \: w({w} + 10) - 6(w  + 10)= 0 \\  \\  \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\  \therefore \: {w}   = -  10  \: or \: w =  6  \\  \because \: sides \: of \: rectangle \: cant \: be \: negative \\  \therefore \: w \neq \:    - 10 \\  \\ \therefore \: w = 6 \\  \\ \therefore \: w + 4 = 6 + 4 = 10 \\  \\ length \: of \: rectangle \:  = 10 \: yards.

4 0
3 years ago
A swing forward 50 degree and back 95 degree. How many degree forward must the swing go to return in starting position
-Dominant- [34]

Answer:

45°.........................

4 0
3 years ago
What is the value of y?
Slav-nsk [51]
In a triangle all of the angles always add up to 180, so let's set up an equation.

79 + 37 + y = 180
Simplify
116 + y = 180
Subtract 116 from both sides.
y = 64

The value of y is 64.

Hopefully this helps! If you have any more questions or don't understand, please comment or DM me, and I'll get back to you ASAP. :)
6 0
3 years ago
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