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klasskru [66]
2 years ago
6

If you roll a die twice, what is the probability of getting a number less than 5 on both rolls?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
8 0
<h3>Answer:  4/9</h3>

========================================================

Explanation:

The outcomes of the die are {1,2,3,4,5,6} which is the sample space.

The values less than 5 are {1,2,3,4}

There are 4 values we want out of 6 total, so 4/6 = 2/3 is the probability of rolling something less than 5 on a single die.

The probability of getting two such values in a row is (2/3)*(2/3) = 4/9

Each die roll is independent of any other.

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At an airport, it cost 7 to park for one hour and 5 per hour for each additional hour.Let x represent the number hours parked.wr
kompoz [17]
The cost of parking is an initial cost plus an hourly cost.
The first hour costs $7.
You need a function for the cost of more than 1 hour,
meaning 2, 3, 4, etc. hours.
Each hour after the first hour costs $5.

1 hour: $7
2 hours: $7 + $5                  = 7 + 5 * 1          = 12
3 hours: $7 + $5 + $5          = 7 + 5 * 2          = 17
4 hours: $7 + $5 + $5 + $5  = 7 + 5 * 3          = 22

Notice the pattern above in the middle column.
The number of $5 charges you add is one less than the number of hours.
For 2 hours, you only add one $5 charge.
For 3 hours, you add two $5 charges.

Since the number of hours is x, according to the problem, 1 hour less than the number of hours is x - 1.

The fixed charge is the $7 for the first hour.
Each additional hour is $5, so you multiply 1 less than the number of hours,
x - 1, by 5 and add to 7.

C(x) = 7 + 5(x - 1)

This can be left as it is, or it can be simplified as

C(x) = 7 + 5x - 5

C(x) = 5x + 2

Answer: C(x) = 5x + 2

Check:
For 2 hours: C(2) = 5(2) + 2 = 10 + 2 = 12
For 3 hours: C(3) = 5(3) + 2 = 15 + 2 = 17
For 4 hours: C(3) = 5(4) + 2 = 20 + 2 = 22
Notice that the totals for 2, 3, 4 hours here
are the same as the right column in the table above.
6 0
4 years ago
Which of the following is a measure of variation for a numerical data set ? Plz help
kipiarov [429]
I’m pretty sure it would be interquartile range, since range is the measure that measures variation within a data set.
5 0
3 years ago
Suppose human weights are normally distributed with mean 175 and standard deviation 36 pounds. A helicopter is evacuating people
Anuta_ua [19.1K]

Answer:

0.9812

Step-by-step explanation:

Given that human weights are normally distributed with mean 175 and standard deviation 36 pounds

For a sample of 9 people std error of sample would be

\frac{36}{\sqrt{9} } =12

Thus we find that sample mean is N(175, 12)

The plane will lift safely if sample average <200 pounds

i.e. Probability that it can safely lift off (i.e., the average weight of a person in the helicopter is less than 200)

= P(\bar x

~0.981

8 0
3 years ago
Please hurry it’s urgent
Aliun [14]
You’ll need to make an exponential function in order to find your answer.
Let’s try the function f(x) = 870(1.037)^x.
Then, plug in three for x and your output will be the answer. Remember, you’re being asked for the balance, NOT the yield.
The answer is $970.19
7 0
4 years ago
What is the slope of the line?
Flura [38]

Answer:

=4/1 or 4

Step-by-step explanation:

Remember Rise/Run

also remember this formula:

y2-y1/

x2-x1

Your coordinates are: (-2, 1) (-3, -3)

-3-1/

-3-(-2) = -4/-1  or 4

Two negatives cancel out and make it a positive.

Look at attachment for further information

Any questions or concerns, please ask

Hope this helps (:

7 0
3 years ago
Read 2 more answers
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