All categories

3 years ago

There are many cylinders with a height of 9 inches. Let r represent the radius in

Mathematics

1 answer:

mylen [45]3 years ago

8 0

Answer:

Step-by-step explanation:

V, r, h are the volume, radius, and height, respectively.

V = πr²h = 9πr²

The only error in your previous answers was that you forgot the π.

if r = 1, V = 9π1² = 9π ≅ 28 in³

if r = 2, V = 9π2² = 36π ≅ 113 in³

if r = 3, V = 9π3² = 81π ≅ 254 in³

You might be interested in

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

2 years ago

What percentage is equal to 2/5?

nikdorinn [45]

40%

Because, 2/5 equals 4/10. 10x10=100, so 4x10=40, so 40%.

6 0

2 years ago

Read 2 more answers

How to solve 2(x+7)=-4x+14

Temka [501]

Answer:

distribute the 2 on the left side to become 2(x+7)-->2x+14=-4x+14, add 4x to both sides to become 2x+14+4x=-4x+14+4x-->6x+14=14, subtract 14 from both sides 6x+14-14=14-14-->6x=0 and divide both sides of the equation by 6 to get x alone, 6x/6=0/6-->x=0 so x would equal 0.

Step-by-step explanation:

8 0

2 years ago

Solve for g gg. Give an exact answer. 10 ( 0.4 + 0.5 g ) = 4 g 10(0.4+0.5g)=4g10, left parenthesis, 0, point, 4, plus, 0, point,

kirill115 [55]

Answer:

the value of g is -4

Step-by-step explanation:

$10 ( 0.4 + 0.5 g ) = 4 g$

Our aim is to solve for g

multiply 10 inside the parenthesis

$4+5g = 4g$

Now combine like terms

Subtract 5g from both sides

$4+5g-5g= 4g-5g$

$4=-g$

Divide both sides by -1

$g=-4$

5 0

2 years ago

Which term best describes the geometric figure?

nordsb [41]

Answer:

The geometric figure is a Segment

Step-by-step explanation:

A and B are points since they are shown by dots and a point usually marks a location.

In Geometry a line is straight and extends in both directions infinitely.

A line segment or simply segment is the part of a line that connects two points. A segment is the shortest distance between the two points and has a length.

5 0

2 years ago

Read 2 more answers