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3 years ago

What is the experimental probability that at least one of the coins landed on heads? Express the probability as a decimal.

Mathematics

2 answers:

DaniilM [7]3 years ago

7 0

Answer with explanation:

It is given that number cube that is having number from (1 to 6) is rolled hundred times.

From the table it can be seen that,

→2 = 18 times

→ 4= 11 times

→6 = 21 times

→P = Probability

$P(2)=\frac{18}{100}\\\\P(4)=\frac{11}{100}\\\\P(6)=\frac{21}{100}$

⇒ P(Even Number)

$=P(2) + P(4) +P(6)\\\\=\frac{18}{100}+\frac{11}{100}+\frac{21}{100}\\\\=\frac{50}{100}\\\\=\frac{1}{2}$

Required Probability in terms of Percentage

$=\frac{1}{2} \times 100\\\\=50$

= 50%

Option A

frosja888 [35]3 years ago

4 0

The answer is 50% because to find the probability of 3/6 which is the even numbers that add up to 50 so 3/6 is equal to 1/2 and 1/2 of 100 is 50

so your answer is 50%

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Solve the inequality <br> 5x+2 < 32

AnnyKZ [126]

Answer:

x<6

Step-by-step explanation:

First, let's work on the left hand side of your inequality, the 5x+2

This means, for instance, to see if it can be simplified at all.

Multiply x and 5

Multiply x and 1

The x just gets copied along.

The answer is x

5*x evaluates to 5x

5*x+2 evaluates to 5x+2

So, all-in-all, the left hand side of your inequality can be written as: 5x+2

Now, let's work on the right hand side of your inequality, the 32

The right hand side of your inequality can be written as: 32

So with these (any) simplifications, the inequality we'll set out to solve is:

5x+2 ‹ 32

Move the 2 to the right hand side by subtracting 2 from both sides, like this:

From the left hand side:

2 - 2 = 0

The answer is 5x

From the right hand side:

32 - 2 = 30

The answer is 30

Now, the inequality reads:

5x ‹ 30

To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)

around the x on the left side of the inequality.

The last step is to divide both sides of the inequality by 5 like this:

To divide x by 1

The x just gets copied along in the numerator.

The answer is x

5x ÷ 5 = x

30 ÷ 5 = 6

The solution to your inequality is:

x ‹ 6

8 0

2 years ago

Read 2 more answers

If the function f (x) has a domain of (a,b] and a range of [c,d), then what is the domain and range of g (x) = m × f (x) + n?

xz_007 [3.2K]

<h3>Answer: Choice A</h3>

Domain = (a,b]

Range = [mc + n,md + n)

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

Explanation:

The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).

Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.

-------------------

The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...

g(x) = m*f(x) + n

g(x) = m*c + n

All we're doing is replacing f with c.

So that means mc+n is the starting point of the range for g(x).

The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.

6 0

3 years ago

I need help with this problem:)

mixer [17]

Answer:

11.5 for first question

4 0

3 years ago

Justo ayer fue el cumpleaños de Mauricio. Si a la edad e Mauricio, le sumo 13, al resultado le resto 10, luego al nuevo resultad

bezimeni [28]

Answer:

Mauricio nació en el año 2000.

Step-by-step explanation:

Supóngase que el cumpleaños se celebra en el año 2020, si $x$ es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es: