Ask question

Ask question

All categories

aleksandr82 [10.1K]

3 years ago

7

(07.01 LC) Olivia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below: (1, 1), (

1, 2), (1, 3), (1, 4), (1, 5), (1, 6) (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6) (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) Based on the sample space, what is the probability of getting a total of 10?

1 answer:

belka [17]3 years ago

5 0

Olivia's sample space consists of 36 pairs. Three (3) of them give a total of 10: (4, 6), (5, 5), (6, 4).

The probability of getting a total of 10 is 3/36 = 1/12.

You might be interested in

pat calculated tan(88)° and obtained a value of 28.6363, but isn't sure what that value means in context. write at least one sen

coldgirl [10]

Step-by-step explanation:

tangent is the ratio of opposite (o) to adjacent (a). it means when an angle is getting bigger, it will impact to the ratio of o/a and reaching infinite value at the angle 90°.

8 0

3 years ago

If you rolled two dice, what is the probability

jekas [21]

Answer:

1/36.

Step-by-step explanation:

A total number of possible outcomes = 36.

To get a sum of 12 the possible outcomes are just 6,6.

7 0

2 years ago

Read 2 more answers

Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

$y=(x^2-2x+1)+(2x-2)$

$y=x^2+(-2x+2x)+(1-2)$

$y=x^2+0+-1$

$y=x^2$

So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

Solve the first equation for $t$ by dividing both sides by 2:

$t=\frac{x}{2}$ .

Let's plug this into equation 2:

$y=4(\frac{x}{2})^2+4(\frac{x}{2})-3$

$y=4(\frac{x^2}{4})+2x-3$

$y=x^2+2x-3$

This is the desired result.

Choice 3:

$x=t-3$

$y=t^2+2t$

Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

$y=x^2+8x+15$

Not the desired result.

Choice 4:

$x=t^2$

$y=2t-3$

I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

$x=(\frac{y+3}{2})^2$

This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

Choice 5:

$x=t+1$

$y=t^2+4t$

Solve the first equation for $t$ by subtracting 1 on both sides:

$x-1=t$ .

Plug into equation 2:

$y=(x-1)^2+4(x-1)$

Distribute and use the binomial square identity used earlier:

$y=(x^2-2x+1)+(4x-4)$

$y=(x^2)+(-2x+4x)+(1-4)$

$y=x^2+2x+-3$

$y=x^2+2x-3$ .

This is the desired result.

3 0

4 years ago

Read 2 more answers

PLEASE HELP DUE SOON MORE POINTS IF CORRECT!!

SVETLANKA909090 [29]

Answer:

y=4x+35

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Pleaseee help me with these i did some but just wanna make sure I'm in the same page if its right. please explain how you got it

Sergeeva-Olga [200]

1. P = 2(9) + 2(4.5)
P = 18 + 9
P = 27 m

2. P = 5.2(2) + 1.3(2)
P = 10.4 + 2.6
P = 13 ft

3. P = 12.9(2) + 4.7(2)
P = 25.8 + 9.4
P = 35.2 cm

5 0

3 years ago