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riadik2000 [5.3K]

3 years ago

12

Compute E(X) for the following random variable X : X=Number of tosses until all 10 numbers are seen (including the last toss) by

tossing a fair 10-sided die. To answer this, we will use induction and follow the steps below: Let E(i) be the expected number of additional tosses until all 10 numbers are seen (including the last toss) given i distinct numbers have already been seen. Find E(10) . E(10)=

1 answer:

julsineya [31]3 years ago

8 0

Answer:

For 10 tosses we have that E(X)=10

Therefore E(i)= 1/10 +2/10 +3/10....10/10

This implies that 40/10=E(i)

Therefore E(10) =40/10

= 4.

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Uncle drew scored 28 points in 5 5/6 minutes. How many points did he average per minute

MA_775_DIABLO [31]

Answer:4.6

Step-by-step explanation:

28/6

5 0

4 years ago

Read 2 more answers

Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

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

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

4 years ago

Been stuck on these last 2 questions. can anybody help? thanks in advance!

Maurinko [17]

The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9

Equation of the line:

The standard form of the equation of the line is written as

y = mx + b

here

x and y represents the coordinates of the equation

m refers the slope of the equation

b refers the y intercept of the equation

Given,

Here we have the points (7, -2) and (11, 5).

Now we have to find the equation that passes through this points.

If you want to find the equation of the line, we have to find the slope and the intercept of the line.

The slope of the line is calculated by using the given point (7, -2) and (11, 5),

=> m = (11 - 7) / ( 5 - (-2))

=> m = 4/7

Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,

=> 5 = (4/7) (11) + b

=> 35 = 44 + b

=> b = -9

Therefore, the equation that passes through the points is y = 4/7x - 9

To know more about equation of the line here.

brainly.com/question/21511618

#SPJ1

4 0

1 year ago

If you need to know the other options I'll tell you just ask :)

vazorg [7]

Answer:

The slope is $-50$ . The slope means that the amount of money in the account is decreasing at a rate of $ $50$ every week.

Step-by-step explanation:

Given coordinates are $(4,2400)\ and\ (12,2000)$

We need to find the slope of the graph, and explain what does slope means for this graph.

The formula for computing slope $(m)$ is

$m=\frac{y_2-y_1}{x_2-x_1}$

Where $(x_1.y_1)$ and $(x_2,y_2)$ are the point on the line.

Let us plug points $(4,2400)\ and\ (12,2000)$ in the equation

$m=\frac{2000-2400}{12-4}\\ \\m=\frac{-400}{8}\\\\m=-50$

Here, the negative sign of slope $(m)$ represents that the value of the function (budget) is decreasing, with an increase in time (week).

The slope is $-50$ . The slope means that the amount of money in the account is decreasing at a rate of $ $50$ every week.

6 0

4 years ago

PLSSS HELP WILL GIVE BRAINLIEST FOR FIRST CORRECT ANSWER!!!!!!!!!

Kryger [21]

Answer:

A fair die has 6 sides.

There are 3 odd numbers on a fair die so the probability would be 3/6

There are 4 numbers greater than 2 on a fair die o the probability of that would be 4/6

There is only one number that will make it square and that is 4. So the probability would be 1/6

6 0

3 years ago