Ask question

Ask question

All categories

3 years ago

6

Which events are independent? Check all that apply.

2 answers:

siniylev [52]3 years ago

6 0

Answer:

Its B C and E

Step-by-step explanation:

Bumek [7]3 years ago

5 0

<u>Options B</u>(number cube and spinner)<u>, C</u>(two cards) <u>and E</u>(card and dart) are independent. The other options have two actions interfering with another. Since Sarah kept her slip of paper in A then she wouldn't be able to have the same probability of drawing it again. Hayden also changes the chances of drawing black socks because he didn't replace the pair he first drew. B and E have two different actions that can't change the output of each other. C Eliza puts the Jack back and thus the situation is independent.

You might be interested in

Jillian has made an error. In which step does it occur?<br> Step 1<br> Step 2<br> Step 3<br> Step 4

Ket [755]

Answer:

What error?

Step-by-step explanation

Can u plz label the steps?

4 0

3 years ago

The probability that a can of paint contains contamination is 3.23%, and the probability of a mixing error is 2.4%. The probabil

stich3 [128]

Answer:

4.6%.

Step-by-step explanation:

The probability that a can of paint contains contamination(C) is 3.23%

P(C)=3.23%

The probability of a mixing(M) error is 2.4%.

P(M)=2.4%

The probability of both is 1.03%.

$P(C \cap M)=1.03\%$

We want to determine the probability that a randomly selected can has contamination or a mixing error. i.e. $P(C \cup M)$

In probability theory:

$P(C \cup M) = P(C)+P(M)-P(C \cap M)\\P(C \cup M)=3.23+2.4-1.03\\P(C \cup M)=4.6\%$

The probability that a randomly selected can has contamination or a mixing error is 4.6%.

3 0

3 years ago

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

If f(x)=2x+1 and g(x)=1/2(x-1), what does f(g(-4)) equal

uranmaximum [27]

G(-4)

=1/2((-4)-1)

=1/2(-5)

=-2.5

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

f(g(-4))

=f(-2.5)

=2(-2.5)+1

=-5+1

=-4

5 0

3 years ago

Help please 878777056586

Yuliya22 [10]

Answer:

The answer is 3

Step-by-step explanation:

Because 4x6=24

2x2x2=8

24 divided by 8=3

Hope this helped and have a great day!

3 0

3 years ago