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Natali [406]
3 years ago
14

Ignatz repeatedly rolls a fair $6$-sided die. What is the probability that he rolls his first $5$ before he rolls his second (no

t necessarily distinct) even number?
Mathematics
1 answer:
n200080 [17]3 years ago
5 0
Ignatz has a probability of rolling his first $5$ on a 6:1 probability.
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Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. K
zalisa [80]
<h2>Hello!</h2>

The answer is:

It will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

<h2>Why?</h2>

To calculate how long after they start they will be 3/4 miles apart, we need to write two equations.

So, writing the equations, we have:

Calculations for Ava:

We have the following information,

v_{Ava}=6mph

Then, writing the equation,

x_{Ava}=x_{o}+v_{Ava}*t

x_{Ava}=x_{o}+v_{6mph}*t

Calculations for Kelly:

We have the following information,

v_{Kelly}=8mph

We need to calculate when Kelly will be 3/4 miles apart of Ava, so, it's position will be the Ava's position plus 3/4 miles.

Then, writing the equation,

x_{Ava}+0.75miles=x_{o}+v_{Kelly}*t

x_{Ava}+0.75miles=x_{o}+v_{8mph}*t

Now, substituting Ava's speed into the second equation, we have:

x_{o}+6mph*t+0.75miles=x_{o}+8mph*t

6mph*t+0.75miles=+8mph*t

8mph*t-6mph*t=0.75miles

2mph*t=0.75miles

t=\frac{0.75miles}{2mph}=0.375hours

Hence, we have that it will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

Have a nice day!

7 0
3 years ago
Read 2 more answers
If S (3,-4) is translated 5 units left and 3 units up, what is the ordered pair of S?<br>​
sleet_krkn [62]

Answer:

(-2,-1)

Step-by-step explanation:

3-5=-2

-4+3=-1

6 0
3 years ago
Which statement best demonstrates why the following is a non-example of a polynomial?
11Alexandr11 [23.1K]
The following statements <span>demonstrates why the following is a non-example of a polynomial.</span>
1. The expression has a variable raised to a negative exponent. 
2. The expression has a variable in the denominator of a fraction.
3. The expression has a variable raised to a fraction. 
6 0
3 years ago
In a scalene triangle , the perimeter is 33, and the length of one side is 15, and the difference between the two other sides is
zepelin [54]

Answer:D

Step-by-step explanation:

4 0
3 years ago
Help! I don't understand this.
OleMash [197]

Answer:

x > 9.

Step-by-step explanation:

Here it is just simplifying the inequality.

6 - 2/3x < x - 9

Add 2/3x to both sides.

6 < 5/3x - 9

Add 9 to both sides.

15 < 5/3x

Multiply by 3/5.

9 < x

Flip it.

x > 9.

7 0
2 years ago
Read 2 more answers
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