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liberstina [14]

3 years ago

6

Two six-sided number cubes are rolled. Each number cube has sides numbered 1 through 6. What is the probability that the outcome

of the roll is an even sum or a sum that is a multiple of 3?

2 answers:

juin [17]3 years ago

7 0

This is the concept of probability and statistics, we are required to find the probability that when a 6-sided cube is rolled the outcome will be even sum or a sum that is multiple of 3.
The probability space is:
x=(1,2,3,4,5,6)
P(x)=1/6
P(even)=3/6=1/2
P(multiple of 3)=3/6=1/2
P(even or Multiple of 3)=1/2*1/2=1/4

Anarel [89]3 years ago

4 0

Answer:

2/3

Step-by-step explanation:

There are 36 possible outcomes. How did I know? I multiplied 6 by 6 because each dice that is is rolled has 6 sides.

The probability of the outcome being even is 18/36.

The probability of the outcome being a multiple of 3 is 12/36, 6 of which have sums that are even.

You subtract 6 from 12/36 and you get 6/36.

Now you add 18/36 and 6/36.

The answer is 24/36. Simplify, and you get 2/3.

yw

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Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

or

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

4 0

3 years ago

Find the distance between the two points.<br> (-6, -7) and (154, - 43)

Vitek1552 [10]

Answer:

(160, 36)

Step-by-step explanation:

Distance is always positive because, well, you aren't -50 meters away from your house or something. You are just 50 meters away from your house. And 160 is the distance between -6 and 154, because there is one minus and one plus, you add them, because that is how far they are apart, and then-43 and -7 were easy just subtract them.

8 0

3 years ago

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elena-s [515]

1a. The equation is x-35+x+5+x

5 0

3 years ago

Number 8 please it will help a lot

pickupchik [31]

Well it all depends on the object you are using but in this case lets say remote control cars. You can have an example like "we drove the car around the building twice. the first time it was -8 than how fast it was supposed to go. the second time it was 9. In which round was the car faster?" I dont think i helped very much but i hope i did

5 0

3 years ago

Solve the pair of simultaneous equations and leave the answer as a fraction in

Elena-2011 [213]

Answer:

x = 11/3 = 3 2/3

y = 13/3 = 4 1/3

Step-by-step explanation:

Here, we want to solve the system of equations simultaneously

x + y = 8

2x -3 = y

From the second equation, we have an equation for y

we can simply proceed to substitute this into the first equation

x + 2x - 3 = 8

3x - 3 = 8

3x = 8 + 3

3x = 11

x = 11/3

Recall;

y = 2x - 3

y = 2(11/3) - 3

y = 22/3 - 3

y = (22-3(3))/3

y = (22-9)/3 = 13/3

6 0

3 years ago