What is the domain of f(x)=(1/2)^x A.(0,1) B.(1,1/2) C.(1,0) D.(0,0)

Mathematics

1 answer:

Mrac [35]3 years ago

4 0

0.12 found the half of 1/2

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A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev

Yuliya22 [10]

Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : $\mu=12\text { cm}$

Standard deviation : $\sigma= 0.2\text{ cm}$

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

For Z score : $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x = 11.97

$z=\dfrac{11.97-12}{\dfrac{0.2}{\sqrt{100}}}=-1.5$

For x = 12.04

$z=\dfrac{12.04-12}{\dfrac{0.2}{\sqrt{100}}}=2$

By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-

$P(511.97$

Hence, the probability that the shipment is found satisfactory=0.9104

3 0

3 years ago

Select all the examples of categorical data. colors number of siblings favorite pet profits genre of music

bulgar [2K]

Answer:

Color, favorite pet, genre of music

Step-by-step explanation:

Categorical variables are simply statistical variables which are non - numeric, usually employed in characterization and groupings based on a certain number of fixed attributes, categories. In the options atated above, the categorical variables fall under a heading with a limited and fixed attributes such as color, pet and genre of music. However, options such as number of siblings and profit are purely numeric variables which can take up any numeric digits and allow for direct numeric computation. They are called quantitative variables.

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3 years ago

Does a heptogon have parallel lines please. help me

Tpy6a [65]

No they do not have parallel lines

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Help please? I need it lol

ddd [48]

Answer:

Since magnesium = 2, and potassium = 1, magnesium is greater than potassium (2 > 1).

If we assign these elements letters, m and p respectively,