Iroll a six-sided doe and toss a coin. what is the probability i get a heads and a 6?

1/12

Step-by-step explanation:

Split the question into two parts:

1) What is the probability you get heads?

2) What is the probability you get a 6?

Probability is how likely something is going to happen. It is usually expressed as a fraction. The numerator is usually how many ways is correct or what you want, and the denominator is how many possibilities are possible.

1)

What are all the possible outcomes in a coin flip?

Heads and Tails

So, the denominator is 2

What do you want?

Heads

So, the numerator is 1 since the only way to flip a heads is to flip a head.

The probability you get a heads is 1/2

2) What are all the possible outcomes in a dice roll?

1, 2, 3, 4, 5, and 6

So the denominator is 6

What do you want?

6

So, the numerator is 1 since there is only one way to toss a 6.

The probability you get is 1/6

Multiply the results you got in parts 1 and 2 for a combination.

You get 1/12

y > 1/3x

y < = -x + 4

hope this : )

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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