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3 years ago

Which variable is discrete

Mathematics

1 answer:

Aloiza [94]3 years ago

7 0

Answer:

C. The number of runners in a race

Step-by-step explanation:

Variables can be widely be classified as either discrete or continuous. A continuous variable is a variable which can take on any value within its domain. A continuous variable can take on fraction of units. Examples of continuous variables include;

time to finish a race - it can be 10.5 sec or 35.56 sec

temperature at start of race - the temperature could be 25.5 K, or 45.57 K

length of race in kilometers - the length could be 20 km, 22.45 km or 38.8 km

All the above variables can be measured in fraction of units and are thus continuous in nature.

On the other hand, a variable is said to be discrete if it can take on only integer values. An example in this case would be ;

the number of runners in a race. We can only have, 10, 45, 600, 565 and so on runners but never a fraction of a runner.

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Given y = a(x - h)^2 + k, p = A. a B. 4a C. 1/4a

Flauer [41]

9514 1404 393

Answer:

C. 1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

a = 1/(4p)

p = 1/(4a) . . . . . . multiply by p/a; matches choice C

Additional comment

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

$p=\dfrac{1}{4a}$

8 0

3 years ago

The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l

Verdich [7]

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

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3 years ago

What is the way to best choose the answers

Sunny_sXe [5.5K]

The B option is the correct answer

7 0

3 years ago

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devlian [24]

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