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cluponka [151]
3 years ago
14

Which pair of events is dependent? You get a head and a tail in two coin tosses with two different coins. You get a head and a t

ail in two coin tosses using the same coin twice. You pick two numbered billiard balls from a bag of balls one after the other without replacement. You draw two red cards one after the other with replacement.
Mathematics
1 answer:
brilliants [131]3 years ago
6 0
The billiard balls without replacement.

Let's say there are 10 billiard balls 5 red and 5 blue.
If you pick a blue ball on the first pick you had a 5/10 chance
Now your chances of getting a red are only 5/9.
What happened on the first pick affects what happens on the second (making it dependent)
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Asking costs 5 points and then choosing a best answer earns you 3 points!
yKpoI14uk [10]
Thanks this came in handy bc I'm a beginner
4 0
3 years ago
What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?
Marrrta [24]

Answer:

C. (-2,4)

Step-by-step explanation:

We have been given a function f(x)=|x+2|+4 and we are asked to find the vertex of our absolute value function.

The rules for the translation of a function are as follows:  

f|x-h|=\text{Graph shifted to right by h units}

f|x+h|=\text{ Graph shifted to left by h units}

f|x|+h=\text{ Graph shifted upward by h units}

f|x|-h=\text{ Graph shifted down by h units}

Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.

Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

f(x)=|x--2|+4

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.

4 0
3 years ago
Read 2 more answers
Use the Quadratic formula to find all real zeros of the 2nd degree polynomial
schepotkina [342]

Answer:

  x ∈ {-5, -1}

Step-by-step explanation:

Here's the solution using the quadratic formula:

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-24\pm\sqrt{24^2-4\cdot 4\cdot 20}}{2\cdot 4}\\\\=\dfrac{-24\pm\sqrt{576-320}}{8}=\dfrac{-24\pm\sqrt{256}}{8}\\\\=\dfrac{-24\pm 16}{8}=-3\pm 2=\{-5,-1\}

The real zeros are -5 and -1.

_____

There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.

Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.

4 0
3 years ago
100 POINTS!! HELP!!!! BRAINLIEST ANSWER
Black_prince [1.1K]

The turning point is (3,3). The x to make the absolute value negative would be 2. The ordered pair would then be (0,3)

8 0
3 years ago
Read 2 more answers
What is the answer to this question ? 3a-4=5
Nataly_w [17]

Answer:

a=3

Step-by-step explanation:

a=3 because 5+4=9 and 9÷3=3

hope this helps!!

8 0
3 years ago
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