PLEASE HELP!! how do I prove that vertical angles are congruent???

(a) Fill in the tavle below to complete the proability distrubution of X

Aliun [14]

Answer:

2.6

Step-by-step explanation:

Given :

x 1 2 3 4

P(x) 0.3 0.2 ? 0.4

Σp(x) = 1

Hence, 0.3 + 0.2 +? + 0.4 = 1

0.9 +? = 1

? = 1 - 0.9

? = 0.1

For the mean :

E(X) = ΣX*P(X)

(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)

0.3 + 0.4 + 0.3 + 1.6 = 2.6

Hence, the mean = 2.6

6 0

2 years ago

I need an answer ASAP I will thank you and give you a like!

LenaWriter [7]

Answer:

Option C. As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.

Step-by-step explanation:

we know that

Observing the table

The function f(x) is a increasing function

As the value of x increases, the value of f(x) increases

so

As x approaches positive infinity, f(x) approach positive infinity

<em>Find the slope of the linear equation g(x)</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points (6, -2) and (3, 7)

substitute

$m=\frac{7+2}{3-6}$

$m=\frac{9}{-3}=-3$

The slope of the linear equation g(x) is negative

That means ----> Is a decreasing function

As the value of x increases, the value of g(x) decreases

so

As x approaches positive infinity, g(x) approach negative infinity

therefore

As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.

6 0

2 years ago

Suppose you take a 15 question True or False quiz and you guess on every problem. You only get 3 correct. (a) What is the probab

lana66690 [7]

Answer:

0.648

No, that is not an unusually low number of correct guesses.

Step-by-step explanation:

Suppose you take a 15 question True or False quiz and you guess on every problem. You only get 3 correct. Then

$p=\dfrac{3}{15}=\dfrac{1}{5}=0.2$ - correct;
$q=1-p=1-0.2=0.8$ - o\incorrect.

The probability of getting 3 or fewer correct guesses is

$P(\text{3 or fewer})\\=P(0)+P(1)+P(2)+P(3)\\ \\=C^{15}_0p^0q^{15-0}+C^{15}_1p^1q^{15-1}+C^{15}_2p^2q^{15-2}+C^{15}_3p^0q^{15-3}\\ \\=1\cdot q^{15}+15pq^{14}+105p^2q^{13}+455p^3q^{12}\\ \\=(0.8)^{15}+15\cdot 0.2\cdot (0.8)^{14}+105\cdot (0.2)^2\cdot (0.8)^{13}+455\cdot (0.2)^3\cdot (0.8)^{13}\\ \\\approx 0.648$