10 miles = _______

El 10% de los huevos de un supermercado están rotos, haya la probabilidad de que un cliente que compra media docena de huevos en

crimeas [40]

Answer:

La probabilidad de encontrar como mucho un huevo roto es 0,8857.

Step-by-step explanation:

Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:

$P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x}$

En donde:

p: es la probablidad de encontrar huevos rotos = 10% = 0,1

x: es el número de éxitos

n: es el número de ensayos = 6 (media docena de huevos)

Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:

$P = P(0) + P(1)$

$P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857$

Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.

Espero que te sea de utilidad!

5 0

3 years ago

The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.

Irina-Kira [14]

Answer:

Radius - 4

Apothem - 2

Area - $12\sqrt{3}$ or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

$12\sqrt{3} \div3 = 4\sqrt{3}$

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

$Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6$

By the way, the formula for the area can be either of the two:

$A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS$

we can easily find the area using the first formula.

$A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}$

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

4 0

3 years ago

If the shortest leg for two right triangles is two-thirds the size of the of the shared hypotenuse then what is the length of th

Tanzania [10]

The shortest leg=2*hypotenuse/3

hypotenuse^2=4*hypotenuse^2/9 + 5hypotenuse^2/9

the longest leg is V5/3* hypotenuse

5 0

3 years ago

Read 2 more answers

You anticipate that a $2000 investment in a local business will pay an average of 4% interest in each of the next 5 years. Deter

Dovator [93]

Since this is a problem in exponential growth/decay, y = ab^x is the formula that will be used to solve this problem.

The initial value, "a", is the value you start out with and in this case, it is $2000.

The growth/decay factor is what "b" represents, and it is 4%. We need to change the percentage into a decimal, so we will take the percent symbol, change it into a decimal, and move it two places to the left. This is make it 0.04. The problem also mentions interest, implying an exponential growth. Therefore, you will add 0.04 by 1: 1+0.04 = 1.04.

The "x" represents an amount of time. It is 5 years. The equation should be written like this:

y = 2000(1.04)^5
y = 2433.30. When rounded to the nearest dollar, it is $2433.

7 0

3 years ago

Assuming there’s is a proportional relationship which additional set of values could be included in the table

schepotkina [342]

Answer:

I don't know

Step-by-step explanation:I need the answer

5 0

3 years ago

Read 2 more answers

10 miles = ________feet