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kolezko [41]
3 years ago
9

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 d

efense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you'll be a magic elf?
Mathematics
2 answers:
Kruka [31]3 years ago
8 0

Answer:

it is 1/15

Step-by-step explanation:

Salsk061 [2.6K]3 years ago
5 0

Answer:

1/15

Step-by-step explanation:

You have a 1/3 chance of being an elf.

You have a 1/5 change of having the magic tool.

1/3 × 1/5 = 1×1/3×5 = 1/15

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A student takes a part-time job to earn for summer travel. The number of hours, , the student has to work is inversely proportio
Andrej [43]

Answer:

(a) h = \frac{2400}{w}

(b)300 Hours

(c)150 Hours

(d)Reduced and halved.

(e) w = \frac{2400}{h}

Step-by-step explanation:

(a) The number of hours worked is inversely proportional to the wage.

This is written as:

h \propto \frac{1}{w} \\\text{Introducing variation constant k}\\h = \frac{k}{w}\\$Since the money to be raised is constant, k = $ \$2400\\Therefore, h = \frac{2400}{w}

(b)If the student earns $8 an hour

w=$8

\text{Number of Hours required, h} = \frac{2400}{8} =300 Hours

(c)When the wage per hour =$16

When w=$16

\text{Number of Hours required, h} = \frac{2400}{16} =150 Hours

The number of hours reduced and is in fact halved.

(d)

\text{When the wage per hour =w}, h = \frac{2400}{w}\\\text{When the wage per hour =2w}, h = \frac{2400}{2w}=\frac{1}{2}  X \frac{2400}{w} =\frac{h}{2}

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.

(e)The wage per hour is inversely proportional to the number of hours.

In fact,

\text{From h = }\frac{2400}{w}\\\text{Cross Multiplying}\\hw=2400\\\text{Dividing both sides by h}\\w = \frac{2400}{h}

8 0
3 years ago
Two students in your class, Wilson and Alexis, are disputing a function. Wilson says that for the function, between x = –1 and x
Vesna [10]
They are using two different functions. Tell your math teacher that questions like these are loaded and should not be given as assignments.
6 0
3 years ago
A random sample of 2 measurements is taken from the following population of values: 0, 1, 3, 4, 7. What is the probability that
mafiozo [28]

Answer:

1/5

Step-by-step explanation:

Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.

Given the samples 0,1,3,4,7

Total number of samples is 5

The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.

5C2 = 5!/(5-2)!2!

= 5!/3!2!

= 5×4×3!/3!×2

= 10ways

The total outcome is therefore 10

To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice

The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4

The expected outcome is therefore 2

the probability that the range of the sample is 4 = expected outcome/total outcome

= 2/10

= 1/5

7 0
3 years ago
4×9×8^-1×3^-3/6^-1 .Ans is 1 but I want the method.​
lana66690 [7]

Answer:

Hi, Hope this will help :-)

5 0
3 years ago
Read 2 more answers
3x+6y=36 and -3x-6y=0​
Anastasy [175]

Answer:

No solution

Step-by-step explanation:

3x + 6y  =36

-3x - 6y =0​

------------------add

0 ≠ 36

No solution

4 0
3 years ago
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