Which expression is equivalent to 3/32x8,10?

Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that

zzz [600]

Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The mean of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem:

Six percent of computer chips produced by Cheapo Chips are defective, hence $p = 0.06$ .

Each month a random sample of 200 chips manufactured that month are taken, hence $n = 200$

Then:

$E(X) = np = 200(0.06) = 12$

$\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36$

The mean of X is of 12, with a standard deviation of 3.36.

A similar problem is given at brainly.com/question/12473640

4 0

2 years ago

5. The width of a row of identical townhouses,

Serjik [45]

Answer:

a. The value of the constant k is 21

b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.

Step-by-step explanation:

a.

A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.

The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:

105=k*5

$k=\frac{105}{5}$

k=21

So the value of the constant k is 21.

b.

As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.

This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".

7 0

3 years ago

You are filling paper cones with popcorn for a party.

Sunny_sXe [5.5K]

Answer:

The amount of popcorn needed to fill the paper cone is $V=1,005\ cm^{3}$