PLEASE HELP TIME LIMIT

How would I solve this? I do not get the problem.

Stolb23 [73]

Find the area of the CD. (I used P for pi, too lazy @[email protected])
A=Pr² - Pr²
radius of the small hole in the middle, 0.75cm
radius of the CD, 6cm
A=3.14*6²-3.14*0.75²
A=111.27375cm²
The Approximate area of the CD is 111.27cm²

8 0

3 years ago

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

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".

Solution to the problem

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

$X \sim Binom(n=5, p=0.4)$

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:

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

The mean for the binomial distribution is given by:

$E(X) =np=5*0.4=2$

And the variance is given by:

$Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2$

And the deviation is just the square root of the variance so we got:

$Sd(X) =\sqrt{1.2}=1.095$

7 0

3 years ago

The question with the distributive property

kondor19780726 [428]

6(a+2b+3c)

=(6)(a)+(6)(2b)+(6)(3c)

=6a+12b+18c

Hope this helps

7 0

3 years ago

first person who answer correctly gets a brainllest The perimeter of a rectangle is 64 feet. The length of the rectangle is 3 ti

anastassius [24]

Answer:

2(3(8))+2(8)=64

Step-by-step explanation:

Here, w represents the width of the rectangle,

∵ length of the rectangle is 3 times the width of the rectangle,

So, length = 3w,

Since, the perimeter of a rectangle, P = 2(length + width)

= 2(w + 3w)

= 2w + 2(3w)

If P = 64 feet,

⇒ 2w +2(3w) = 64

⇒ 2w + 6w = 64

⇒ 8w = 64

⇒ w = 8

Verification :

P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet

Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64

Note : a solution obtain from an equation is verified by substituting the value in the equation.

6 0

3 years ago

The population of California is 3.7 x 107 people. The population of Colorado is 5.0 x 106 people. What is the difference in size

zalisa [80]

Answer:

Step-by-step explanation:

3.7 × 107 = 395.9

5.0 × 106 = 530

530 - 395.9 = 134.10

6 0

3 years ago