What is 2,647.4 rounded to the tens place

You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your a

Troyanec [42]

Answer:

E(X)=3.125

Step-by-step explanation:

We are given that two four sided dice.

Then , the sample space

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

Total number of outcomes=16

Let the random variable X represent the maximum value of the two dice

Outcomes X P(X)

(1,1) 1 1/16

(1,2),(2,1),(2,2) 2 3/16

(1,3),(2,3),(3,1),(3,2),(3,3) 3 5/16

(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4) 4 7/16

Using the probability formula

$P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}$

Now,

$E(X)=\sum_{i=1}^{n}x_iP(x_i)$

$E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)$

$E(x)=\frac{1+6+15+28}{16}$

$E(x)=\frac{50}{16}=3.125$

7 0

3 years ago

What is 3 + -5= and is it a positive or negative number and how?

Natalka [10]

It is -2. This is negative. For instance, if you had 3 candies and your mother took away 5, you would not only have 0 candies, but you would owe your mother 2. This is expressed as a negative number. Please mark Brainliest!!!

7 0

3 years ago

Read 2 more answers

Which expression is the factored equivalent of x2 - 5x + 4?

ozzi

Answer:

Step-by-step explanation:

A

5 0

3 years ago

The paint mixer wants to mix paint that is 30% gloss with paint that is 15% gloss to make 3.75 gallons of paint that is 20% glos

Kipish [7]

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:

$c_{r} = x\cdot c_{a} +(1-x)\cdot c_{b}$ (1)

Where:

$x$ - Proportion of the paint that is 30 % gloss.
$c_{a}$ - Concentration ratio of the paint that is 30 % gloss.
$c_{b}$ - Concentration ratio of the paint that is 15 % gloss.
$c_{r}$ - Resulting concentration ratio

If we know that $c_{a} = 0.3$ , $c_{b} = 0.15$ and $c_{r} = 0.2$ , then the proportion of the paint that is 30 % gloss is:

$0.2 = 0.3\cdot x +(1-x)\cdot 0.15$

$0.2 = 0.15\cdot x+0.15$

$0.15\cdot x = 0.05$

$x = 0.33$

And the quantity of gallons needed of each paint are:

Paint (30 % gloss)

$V_{a} = 0.33\cdot (3.75\,gal)$

$V_{a} = 1.238\,gal$

Paint (15 % gloss)

$V_{b} = V-V_{a}$

$V_{b} = 3.75\,gal-1.238\,gal$

$V_{b} = 2..512\,gal$

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478

8 0

3 years ago

What are all the factos of 36

oksano4ka [1.4K]

Hi there!

»»————-　★　————-««

I believe your answer is:

{1, 2, 3, 4, 6, 9, 12, 18, 36}

»»————-　★　————-««

Here’s why:

A factor is a whole number that is multiplied by another to have a product have another number.

⸻⸻⸻⸻

The Factors Are:

1 (1 * 36 = 36)
2 (2 * 18 = 36)
3 (3 * 12 = 36)
4 (4 * 9 = 36)
6 (6 * 6 = 36)
9 (9 * 4 = 36)
12 (12 * 3 = 36)
18 (18 * 2 = 36)
36 (36 * 1 = 36)

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

6 0

3 years ago