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3 years ago

Which equation correctly applies the distributive property?

2 answers:

7 0

distributive property

D.(0.5 ⋅ 0.5) + (0.5 ⋅ 0.3) + (0.5 ⋅ 0.2) = 0.5 ⋅ (0.5 + 0.3 + 0.2)

nika2105 [10]3 years ago

4 0

distributive property

D.(0.5 ⋅ 0.5) + (0.5 ⋅ 0.3) + (0.5 ⋅ 0.2) = 0.5 ⋅ (0.5 + 0.3 + 0.2)

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g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d

professor190 [17]

Answer:

The variance and standard deviation of X are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - X) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable X is defined as, X = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

$P (X)=\frac{4}{20}=0.20$

A random sample of n = 3 items are selected at random.

The random variable X follows a Binomial distribution with parameters n = 3 and p = 0.20.

The variance of a Binomial distribution is:

$V(X)=np(1-p)$

Compute the variance of X as follows:

$V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48$

Compute the standard deviation (σ (X)) as follows:

$\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693$

Thus, the variance and standard deviation of X are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

$V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48$

Compute the standard deviation of (20 - X) as follows:

$\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693$

Thus, the variance and standard deviation of (20 - X) are 0.48 and 0.693 respectively.

3 0

3 years ago

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.

zavuch27 [327]

Answer:

what are the excersises

Step-by-step explanation:

3 0

3 years ago

A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and le

Fynjy0 [20]

Answer: The average length of time that the 25 customers waited before leaving the bank. e. Statistic

The list of times for the 25 customers who left the bank. f.Data

All of the bank's customers d. Population

The 25 customers that the manager observed leave. c. Sample

The length of time a customer waits before leaving the bank. a. Variable.

The average length of time that all customers will wait before leaving the bank a. Parameter

Step-by-step explanation:

A data is a list of observations.

In statistics, a variable is an attribute that defines a person, place, thing, or thought.

A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.

The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.

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3 years ago

An ice cream factory makes 350 quarts of ice cream in 2 hours. How many quarts could be made in 36 hours? What was that rate per

lapo4ka [179]

Answer:

36 hours - 6,300

24 hours - 4,200

8 0

3 years ago

8. The expression below is evaluated when x = 9, y = 3,

Reptile [31]

Answer:

Step-by-step explanation:

First of all substitute the values to where ever you see their corresponding variables to make them multiply.

x = 9

y = 3

z = 2

so we get

8x as 8(9),

7z as 7(2)

2y as 2(3)

then the it's will be

8(9) - 7(2) + 2(3)

which is

72 - 14 + 6

finally we get

4 0

2 years ago