All categories

3 years ago

Adam has 10 blocks numbered 1 through 10. Which describes the probability of randomly choosing a block that has an even number?

Mathematics

1 answer:

Licemer1 [7]3 years ago

3 0

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

Given that:

10 number of blocks which have numbers from 1 through 10.

To find:

Probability of randomly choosing a block that has an even number.

Solution:

The given set of numbers is: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

There are a total of 5 Even numbers are {2, 4, 6, 8, 10}.

And There are a total of 5 Odd number are {1, 3, 5, 7, 9}.

Formula for probability of an event <em>E</em> can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, Event <em>E </em>is randomly choosing an even number.

Number of favorable cases = 5

Total number of cases = 10

Therefore, the required probability is:

$P(E) = \dfrac{5}{10}\\\Rightarrow P(E) = \dfrac{1}{2}$

You might be interested in

PLEASE HELP ( look at ss to answer )

Svetach [21]

The direct proportion is shown by table (B)

<h3>What is direct proportion?</h3>

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

Here the second table shows the direct proportion relation.

This is because the ratio of x/y remain same.

4/2= 7/3.5= 10/5= 11/5.5= 15/7.5 = 2/1

Learn more about direct proportion here:

brainly.com/question/14664532

#SPJ1

8 0

2 years ago

Help quick (for a friend)

VashaNatasha [74]

Answer:

bro is rlly in 4th grade HAHAHAH anyways the answer is 5.1 for number 2

Step-by-step explanation:

8 0

3 years ago

Which of the following is equivalent to the set {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}?

Katyanochek1 [597]

Answer:

The answer is: {x | x is a day of the week}

Step-by-step explanation:

The mathematical expression {x | x is a day of the week}, uses set theory notation and can be translated as: The set of all x such that x is a day of the week. Since the original set contains all days of the week, therefore it is equivalent to the expression {x | x is a day of the week}.

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3x%20-%206%7D%20%20%5C%20%5Cdiv%20%5Cfrac%7Bx%20%2B%209%7D%7Bx%20-%202%7D%

mojhsa [17]

Simplify the following:
x/((x - 2) (x + 9) (3 x - 6))

Factor 3 out of 3 x - 6:
x/(3 (x - 2) (x - 2) (x + 9))

Combine powers. x/((x - 2) (x + 9)×3 (x - 2)) = (x (x - 2)^(-1 - 1))/((x + 9)×3):
(x (x - 2)^(-1 - 1))/(3 (x + 9))

-1 - 1 = -2:
Answer: (x (x - 2)^(-2))/(3 (x + 9))

7 0

3 years ago

Describe the translation. y = (x-5)squared +5 - y = (x-))squared +0

vovangra [49]

In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).

The translation from $y = (x - 5)^2 +5$ to $y = (x - 0)^2 +0$ is to shift $y = (x - 5)^2 +5$ to the left by 5 units and then downward by 5 units

The given parameters are:

$y = (x - 5)^2 +5$

$y = (x - 0)^2 +0$

Assume the first point is: $y = (x - 5)^2 +5$

While the second is: $y = (x - 0)^2 +0$

The first point is first shifted left by 5 units

The rule to this translation is: $(x,y) \to (x + 5,y)$

So, we have:

$y' = (x - 5 + 5)^2 + 5$

$y' = (x - 0)^2 + 5$

Next, the resulting function is shifted down by 5 units.

The rule to this translation is: $(x,y) \to (x,y- 5)$

So, we have:

$y" = y' - 5$

This gives:

$y" = (x - 0)^2 + 5 - 5$

$y" = (x - 0)^2 + 0$

Hence, the translation from $y = (x - 5)^2 +5$ to $y = (x - 0)^2 +0$ is to shift $y = (x - 5)^2 +5$ to the left by 5 units and then downward by 5 units