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S_A_V [24]
3 years ago
15

Given P(E)= 0.24 and P(FnE)= 0.17, find P(F| E). Round the answer to the nearest hundredth. A. 029 B. 0.40 C. 0.71 D. 1.41

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Given P(E) = 0.24 and P(F ∩ E) = 0.17

It says to find conditional probability of F given E has occurred.

We know the formula of conditional probability is given by :-

P(F ║ E) = \frac{P(E\;and\; F)}{P(E)}

P(F ║ E) = \frac{0.17}{0.24} = 0.708333

P(F ║ E) = 0.71

Hence, option C i.e. 0.71 is the final answer.

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Solve -9g+11<-15g-6+7g.
MArishka [77]

Answer: g>17

Step-by-step explanation:

-9g+11

Move the g-terms to the left side. and the independent terms to the right side. Remember to change the sign if you move from one side to another.

-9g+15g-7g

-16g+15g

-g

Divide by -1 on both sides to make g positive. When it comes to dividing by negatives in inequalities, the inequality sign changes direction.

\frac{-g}{-1}

g>17

5 0
3 years ago
If f(x) is a linear function, what is the value of n?
lana [24]
The generic equation for a linear function can be expressed in the slope intercept form f(x) = mx + b, where m is the slope and b is the y intercept. For this problem we can first find the equation of the line. Then we substitute x = 7 to get the f(x) value, which is n at the point x = 7.

To find the equation of the linear function we first find the slope. Slope is defined as the change in f(x) divided by the change in x. As we are given a linear function, the slope at every point is the same. We can pick any two points known to find the slope.

Let's pick (3, 7) and (9, 16). The slope m is m = (16-7)/(9-3) = 9/6 = 3/2.

Now that we have the slope, we can plug in the slope and one of the points to find b. Let's use the point (3, 7).
f(x) = mx + b
7 = (1/2)(3) + b
b = 11/2

Now we can write the equation
f(x) = (1/2)x + 11/2

Plugging in x = 7 we find that f(7) = 9. n = 9
4 0
3 years ago
Read 2 more answers
Help. I need help on the last question and need to make sure this is right
kiruha [24]
U put the right answer
4 0
3 years ago
A projectile is launched into the air. The function h(t) = –16t2 + 32t + 128 gives the height, h, in feet, of the projectile t s
Zinaida [17]

Answer:

t = 4 seconds

Step-by-step explanation:

The height of the projectile after it is launched is given by the function :

h(t)=-16t^2+32t+128

t is time in seconds

We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0

So,

-16t^2+32t+128=0

The above is a quadratic equation. It can be solved by the formula as follows :

t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here, a = -16, b = 32 and c = 128

t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s

Neglecting negative value, the projectile will land after 4 seconds.

4 0
3 years ago
Is 5 1/2 the same as 5 1/2
crimeas [40]
Answer: B- no
Hope this helped
5 0
3 years ago
Read 2 more answers
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