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3 years ago

11

How do you know if an event of A and B is independent in Stats?

1 answer:

Natasha_Volkova [10]3 years ago

5 0

Answer:

ion kno

Step-by-step explanation:

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Write the first five terms of the the sequence defined by the explicit formula an=72(1/3)^n-1

lisabon 2012 [21]

$a_n=72\left(\dfrac{1}{3}\right)^{n-1}\\\\\text{Put}\ n=1,\ n=2,\ n=3,\ n=4,\ n=5\ \text{to the equation}:\\\\n=1\to a_1=72\left(\dfrac{1}{3}\right)^{1-1}=72\left(\dfrac{1}{3}\right)^0=72(1)=72\\\\n=2\to a_2=72\left(\dfrac{1}{3}\right)^{2-1}=72\left(\dfrac{1}{3}\right)^1=72\left(\dfrac{1}{3}\right)=\dfrac{72}{3}=24\\\\n=3\to a_3=72\left(\dfrac{1}{3}\right)^{3-1}=72\left(\dfrac{1}{3}\right)^2=72\left(\dfrac{1}{9}\right)=\dfrac{72}{9}=8\\\\n=4\to a_4=72\left(\dfrac{1}{3}\right)^{4-1}=72\left(\dfrac{1}{3}\right)^3=72\left(\dfrac{1}{27}\right)=\dfrac{72}{27}=\dfrac{8}{3}\\\\n=5\to a_5=72\left(\dfrac{1}{3}\right)^{5-1}=72\left(\dfrac{1}{3}\right)^4=72\left(\dfrac{1}{81}\right)=\dfrac{72}{81}=\dfrac{8}{9}\\\\Answer:\ \boxed{72,\ 24,\ 8,\ \dfrac{8}{3},\ \dfrac{8}{9}}$

8 0

3 years ago

Read 2 more answers

Math help please will give brainliest

natulia [17]

The answer is C. go with it.

3 0

3 years ago

a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can

Anestetic [448]

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

$1\frac{1}{4}$ cups of milk make 10 servings

$1\frac{1}{4}$ can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

$\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128$

Hence,

128 servings can be made using 1 gallon of milk.

3 0

3 years ago

Use the points (0, 4) and (-2, 3) to find the slope of the line and give the equation of this line.

Sauron [17]

Answer:

Choice C: $m=\frac{1}{2}; y=\frac{1}{2} x+4$

Step-by-step explanation:

To find your slope do:

$\frac{y^2-y^1}{x^2-x^1}$

$\frac{3-4}{-2-0}=\frac{-1}{-2} =\frac{1}{2}$

that's how you get 1/2

4 is just the y-int.

6 0

2 years ago

A brass ornament has a volume of 24cm^3.

dedylja [7]

For this case we have that by definition, the density is given by:

$d = \frac {M} {V}$

Where:

M: It is the mass

V: It is the volume

According to the data of the statement we have:

$V = 24 \ cm ^ 3\\d = 8.7 \frac {g} {cm ^ 3}$

So, the mass is given by:

$M = d * V\\M = 24 \ cm ^ 3 * 8.7 \frac {g} {cm ^ 3}\\M = 208.8 \ g$

Thus, the mass of the brass ornament is $208.8 \ g$

Answer:

$208.8 \ g$

3 0

3 years ago