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2 years ago

You randomly draw a card from two separate standard decks of cards. Are the events independent or dependent? Why?

Mathematics

2 answers:

astra-53 [7]2 years ago

3 0

Independent because both deck of cards are exactly the same no matter which one you draw from first

Jobisdone [24]2 years ago

3 0

Answer:

Independent

Step-by-step explanation:

The reason is because the outcome of the first event does not affect the outcome of the second event.

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Determine the type and number of solutions of −4x2 − 3x + 7 = 0.

Kaylis [27]

Answer:

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is $-4x^2-3x+7$ , then

a = -4, b = -3, and c = 7. The formula for finding the discriminant is

$D=b^2-4ac$ which comes from the quadratic formula, but without the square root sign. Filling in:

$D=(-3)^2-4(-4)(7)$ which simplifies down to

D = 9 + 112 so

D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.

7 0

2 years ago

Each equation below is followed by several stories.

zloy xaker [14]

Not sure sorry edit : oh sorry I was suppose to add this in the comment section

7 0

3 years ago

Please help me If 180°<α<270°, cos⁡ α=−8/17, what is sin -α?

rewona [7]

Starting from the fundamental trigonometric equation, we have

$\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}$

Since $180$ , we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

$\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}$

Plugging the numbers, we have

$\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}$

Now, just recall that

$\sin(-\alpha)=-\sin(\alpha)$

to deduce

$\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}$

6 0

2 years ago

Read 2 more answers

2. Which is equivalent to the calculator output 8.954 E - 15?

anyanavicka [17]

Answer: 8.954 x 10^-15

Step-by-step explanation:

i took a test with this question and this was the answer

8 0

2 years ago

What is the expression and answer

swat32

Answer:

Step-by-step explanation:

L is 2* W so L=2W

perimeter= 2w+2l

plug in whats given to get

perimeter=2w+4w 4w is because L is *2 of W so that makes L=2w

36=6w

36/6=6

6w/6=w

w=6

6*2=12=L

now we have 6*12=72=Area

3 0

2 years ago