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1 year ago

Using a fair coin and a number cube with faces numbered 1 through 6, what is the probability of getting heads and rolling a 5?

Mathematics

1 answer:

torisob [31]1 year ago

3 0

Step-by-step explanation:

Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is

$n \times p$

The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have

$6 \times 2 = 12$

Now, we use the fact that proabliblity is

Number of favorable outcomes/ Total outcomes.

We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have

$\frac{1}{12}$

A is the answer.

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Solve the logarithmic equation. Be sure to reject any value of log (X + 8) = log x + log 8

swat32

Answer:

x = 8/7

Step-by-step explanation:

log (X + 8) = log x + log 8

We know that log a + log b = log ab

log (X + 8) = log 8x

Raise each side to base 10

10^log (X + 8) = 10^log 8x

x+8 = 8x

Subtract x from each side

x+8-x = 8x-x

8 = 7x

Divide by 7

8/7 = 7x/7

8/7 =x

6 0

2 years ago

Read 2 more answers

Select all the correct answers.

11Alexandr11 [23.1K]

Statement 3 and 4 are true as Figures 1 and 2 are not congruent and Figures 1 and 3 are not congruent

<h3>What are Congruent Figures ?</h3>

The figures that are similar in shape and size or can be mapped into one another , such figures are called Congruent Figures.

The graph has been plotted on the basis of given data.

The plot can be seen in the graph attached with the answer.

The statements that are true according to the given data is

Statement 3 and 4 are true as

Figures 1 and 2 are not congruent because figure 1 cannot be mapped onto figure 2 using a sequence of rigid transformations.

Figures 1 and 3 are not congruent because figure 1 cannot be mapped onto figure 3 using a sequence of rigid transformations.

To know more about Congruent Figures

brainly.com/question/12132062

#SPJ1

4 0

1 year ago

Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th

vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

y = 125

6 0

2 years ago

CAN SOMEONE PLEASE HELP!!!!!!!

AveGali [126]

Answer:

-11

Step-by-step explanation:

Add all the negative numbers.

Hope this helps!

4 0

3 years ago

Read 2 more answers

A surgery asks 25 people if they prefer brand A of brand B laundry detergent. The data show that 12 people prefer brand A. Write

SVETLANKA909090 [29]

Answer:

13 to 25

13:25

$\frac{13}{25}$

Step-by-step explanation:

All of these show the ratio 13/25

Hope this helps!

8 0

2 years ago