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3 years ago

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Are G and F mutually exclusive events? Explain. G and F are mutually exclusive because if you are not a finalist, then you canno

t receive a Green Card. G and F are not mutually exclusive because you could be a finalist and also win a Green Card. G and F are mutually exclusive because becoming a finalist will not allow a person to receive a Green Card. G and F are mutually exclusive because becoming a finalist and receiving a Green Card cannot occur together.

1 answer:

Alika [10]3 years ago

8 0

Answer: G and F are mutually exclusive because they cannot occur together

Step-by-step explanation:

According to the definition of mutually exclusive events,

The events which can not occur together and probability of them occurring together is 0 are known as mutually exclusive events.

The first statement gives an implication that if one happens then other happens meaning they could both still happen so it is not true.

The second statement contradict the question about being mutually exclusive events.

The third statement also is a implication that if one event occurs then other does or does not occur.

The last statement is correct one that conforms with the question and obeys the definition of mutually exclusive events.

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Find the x-coordinate where the graph of the function f(x) = e(–sinx) has a slope of 0

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$y = e^{-sin(x)}$

$y' = -e^{-sin(x)}(cos(x))$

$0 = -e^{-sin(x)}(cos(x))$

When is cos (x) = 0? <em>at 90° (aka π/2)</em>

Answer: $\frac{\pi}{2}$

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3 years ago

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Can anyone help? ................

il63 [147K]

The square stands for a right angle which is 90

there is a 90 and a 26 which equals 116

a line equals 180 degrees

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The measure of an angle is two times the measure of its complementary angle. What is the

Sedbober [7]

Answer:

30 and 60

Step-by-step explanation:

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x=30

2*30=60

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4 years ago

If the quadratic formula is used to find the solution set of 3x2 + 4x - 2 = 0, what are the solutions?

7nadin3 [17]

Answer:

$x=\frac{-2}{3} \pm \frac{\sqrt{10}}{3}$

Step-by-step explanation:

Compare $ax^2+bx+c$ to $3x^2+4x-2$ .

We have $a=3,b=4,c=-2$ .

The quadratic formula is for solving equations of the form $ax^2+bx+c=0$ and is $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$ .

So we are going to plug in our values in that formula to find our solutions,x.

If you want to notice it in parts you can.

Example I might break it into these parts and then put it in:

Part 1: Evaluate $b^2-4ac$

Part 2: Evaluate $-b$

Part 3: Evaluate $2a$

------Let's do these parts.

Part 1: $b^2-4ac=(4)^2-4(3)(-2)=16-12(-2)=16+24=40$ .

This part 1 is important in determining the kinds of solutions you have. It is called the discriminant. If it is positive, you have two real solutions. If it is negative, you have no real solutions (both of the solutions are complex). If it is 0, you have one real solution.

Part 2: $-b=-4$ since $b=4$ .

Part 3: $2a=2(3)=6$ .

Let's plug this in:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

or in terms of our parts:

$x=\frac{\text{Part 2} \pm \sqrt{\text{Part 1}}}{\text{Part 3}}$

$x=\frac{-4 \pm \sqrt{40}}{6}$

40 itself is not a perfect square but it does contain a factor that is. That factor is 4.

So we are going to rewrite 40 as $4 \cdot 10$ .

$x=\frac{-4 \pm \sqrt{4 \cdot 10}}{6}$

$x=\frac{-4 \pm \sqrt{4} \cdot \sqrt{10}}{6}$

$x=\frac{-4 \pm 2\cdot \sqrt{10}}{6}$

I'm going to go ahead and separate the fraction like so:

$x=\frac{-4}{6} \pm \frac{2 \cdot \sqrt{10}}{6}$

Now I'm going to reduce both fractions:

$x=\frac{-2}{3} \pm \frac{1 \cdot \sqrt{10}}{3}$

$x=\frac{-2}{3} \pm \frac{\sqrt{10}}{3}$

6 0

3 years ago

there are balls between 20 and 40, when Max counts them by 5's there is one left, when he counts it by three he finds 2 balls le

Aneli [31]

Answer:

So because the range is between 20 and 40, it can be noticed through counting.

5, 10, 15, 20, 25, 30, 35, 40

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39

The number of balls in the box, just from the information by 5, is either ending in 1 (for example 21, 31) or 6 (26, 36)

From counting by 3 with that information, it would mean the number is most likely 26 balls, since there would be one left when Max reaches 25 counting by 5, and two left when he reaches 24 counting by 3.

3 0

3 years ago