All categories

3 years ago

Which events are independent? Check all that apply.

Mathematics

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

Options B(number cube and spinner), C(two cards) and E(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

Help please (will give brainliest)

SpyIntel [72]

Thats 45 degrees! its 45 degrees because if you look at it you just know.

4 0

3 years ago

Choose all that correctly solve for x.

Tamiku [17]

Answer:

Options: A, B, and C correctly solve for x.

Step-by-step explanation:

A).

$\frac{5}{2} x$ = $\frac{15}{2}$

Multiplying both sides by 2 gives;

5x = 15

x = 15 ÷ 5 = 3

∴ This option correctly solve for x.

B).

x + $\frac{7}{2}$ = 7

x = 7 - $\frac{7}{2}$ = $\frac{14}{2} -\frac{7}{2} = \frac{7}{2}$

∴ This option correctly solve for x.

C).

x + 3 = $\frac{21}{5}$

x = $\frac{21}{5} - \frac{15}{5} = \frac{6}{5}$

But the option give x as 5/6 hence this option does not correctly solve for x.

D).

5x = 11/2

x = 11/2 ÷ 5 = 11/2 × 1/5 = 11/10

But the option gives x as 10/11 so it does not correctly solve for x.

8 0

3 years ago

There are 2 pounds of clay in the art supplies. If mrs.jennings divides the clay evenly into bags and places 1/8 pound into each

lys-0071 [83]

16 bags because 2 divided by 1/8 is 16

7 0

3 years ago

Please Help!! Use Euler’s formula to write in exponential form.

LekaFEV [45]

Answer:

C, $4e^{i(7\pi/4)}$

Step-by-step explanation:

To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:

$e^{ix}=\cos{x}+i\sin{x}$

Given the complex number $2\sqrt{2}-2i\sqrt{2}$ , we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.

One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression $2(\sqrt{2}-i\sqrt{2})$

Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression $4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right)$ , and now we have something to work with.

Looking back at Euler's formula $e^{ix}=\cos{x}+i\sin{x}$ , we can map our expression inside the parentheses to the one on the right side of the formula, giving us $\cos{x}=\frac{\sqrt2}{2}$ and $\sin{x}=-\frac{\sqrt2}{2}$ , or equivalently:

$\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x$

At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so $x=\frac{7\pi}{4}$ , and we can finally replace our expression in parentheses with its exponential equivalent: