Add. (Reduce fractie<br> (21)<br> -5<br> + 4

Helene claimed that the expected value when rolling a fair die was 3.5. Steve said that wasn't possible. He said that the expect

Nesterboy [21]

Answer:

Helene is right

Step-by-step explanation:

Mathematically, the expected values is defined as the sum of all the possible outcomes that an event can have times the probality of the respective outcome:

x = ∑ p *i,

where x is the expected value, i represents every outcome that can occur, and p is the probability of said outcome.

Now, for the case of a dice, the expected value would be:

x = 1 * $\frac{1}{6}$ + 2 * $\frac{1}{6}$ + 3 * $\frac{1}{6}$ + 4 * $\frac{1}{6}$ + 5* $\frac{1}{6}$ + 6 * $\frac{1}{6}$ ,

as every outcome has the same chance of happenning. Solving we get that:

x= $\frac{1}{6}$ *(1 +2 +3 +4+5+6) = $\frac{1}{6}$ * 21 = 3.5

Helene is right.

4 0

4 years ago

How do i solve this question, anyone help

Degger [83]

Answer:

a. $\sqrt{52}$ cm or 7.21cm

b. $\sqrt{170}$ cm or 13.04cm

c. x= $\sqrt{136}$ cm or 11.66cm, y= $\sqrt{191}$ cm or 13.82cm

Step-by-step explanation:

a. You have to find the length of the other two sides of the triangle using the information already given. The first side is 6cm and the other is 12-9=4cm. Because it's a right-angled triangle you can use pythagoras

$c^2=a^2+b^2\\x^2=6^2+4^2\\x^2=36+16\\x^2=52\\x=\sqrt{52}cm \\x=7.21cm$

b. You can use pythagoras again because it's a right-angle triangle

$x^{2} =7^2+11^2\\x^2=170\\x=\sqrt{170} cm\\ = 13.04cm$

c. In this question you have to find x and y. We need to find x first using pythagoras

$x^2=6^2+10^2\\x^2=136\\x=\sqrt{136}cm \\=11.66cm$

Now that we've found x we can find y using pythagoras but instead of find c, we will find another side

$c^2=a^2+b^2\\19^2=\sqrt{170} ^2 + b^2\\361=170+b^2\\361-170=170+b^2-170\\191=b^2\\b=\sqrt{191}cm \\=13.82cm$

Hope this helps :)

8 0

2 years ago

What is the initial value in the exponential equation below?<br><br> y =<br><br> = 4000(1.05)*

Svet_ta [14]

Answer:

$y = 4000$ (when x = 0)

Step-by-step explanation:

The initial value of the exponential equation is:

$y = 4000\cdot (1.05)^{0}$

$y = 4000\cdot 1$

$y = 4000$

8 0

3 years ago

A food server examines the amount of money earned in tips after working an 8-hour shift. the server has a total of $133 in denom

IrinaVladis [17]

Here is a system of linear equations that represents the situation.

x +5y +10z +20w = 133 . . . total amount earned

x +y +z +w = 39 . . . . . . . . . total number of bills

y = 4z . . . . . . . . . . . . . . . . . . the number of 5s is 4 times the number of 10s

x = 2y -1 . . . . . . . . . . . . . . . . the number of 1s is 1 less than twice the number of 5s

_____

We can substitute for x and z in the first two equations:

... (2y-1) +5y +10(y/4) +20w = 133

... (2y-1) +y +(y/4) +w = 39

These simplify to

... 9.5y +20w = 134

... 3.25y +w = 40

Solving by your favorite method, you get

... y = 12

... w = 1

So the other values can be found to be

... x = 2·12 -1 = 23

... z = 12/4 = 3

The solution to the system is (x, y, z, w) = (23, 12, 3, 1).

3 0

4 years ago

The following graph shows a proportional relationship.

MAXImum [283]

The constant of proportionality of the given graph is gotten as 4.

<h3>How to find the constant of proportionality?</h3>

The constant of proportionality here is simply the slope of the graph.

Now, we will take two points and use their coordinates to find the slope from the formula;

m = (y2 - y1)/(x2 - x1)

Let us pick 2 points which are;

(1, 4) and (2, 8). Thus;

m = (8 - 4)/(2 - 1)

m = 4/1

m = 4

Thus, the constant of proportionality of the graph is gotten as 4.

Read more about constant of proportionality at; brainly.com/question/1835116

#SPJ1

6 0

2 years ago

Add. (Reduce fractie (21) -5 + 4