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3 years ago

PLZ HALP DUE IN LIKE 3 MIN PLZZZZZZZZZZ TwT

Mathematics

1 answer:

natka813 [3]3 years ago

4 0

Answer:

A. The distance is the same

Step-by-step explanation:

This is like absolute value. No matter the side of 0 that the point is on, it is still the same distance from zero. The direction left or right is different, but it doesn't ask for that. Both 6 and -6 is 6 units away from 0.

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A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.

dusya [7]

Answer:

a. 270 square feet

b. 3.75 inches by 4.5 inches

c. $10,260

Step-by-step explanation:

A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.

a. What is the area of the room in square feet?

Area of a rectangular room = Length × Width

Length = 15 feet

Width = 18 feet

Area of the room = 15 feet × 18 feet

= 270 square feet

b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in decimal form to the nearest hundredth.

From the above question:

1/4 inch = 1 foot

Length = 15 feet

Hence:

1 foot = 1/4 inch

15 feet = x inch

Cross Multiply

x = 15 × 1/4 inch

x = 3.75 inches

For the Width = 18 feet

Hence:

1 foot = 1/4 inch

18 feet = x inch

Cross Multiply

x = 18 × 1/4 inch

x = 4.5 inches

Therefore, the dimensions of the room in inches is

3.75 inches by 4.5 inches

c. What is the total price for the carpeting? _

From the above question, we know that: A square foot of carpet is sold for $38

The area of the room is 270 square feet

Hence:

1 ft² = $38

270 ft² = $x

Cross Multiply

1ft² × $x = 270 ft² × $38

$x = 270 ft² × $38/ 1 ft²

$x = $10,260

Therefore, the total price for the carpeting of the room is $10,260.

6 0

3 years ago

Determine mu Subscript x overbar and sigma Subscript x overbar from the given parameters of the population and the sample size.

pentagon [3]

Answer:

$\bar X= \mu = 25$

$\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the following conditions

Where $\mu=25$ and $\sigma=7$

And for this case we select a sample size of n= 15. and we want to know the distribution for the sample mean $\bar X$ . We can assume that the distribution for $\bar X$ is approximately normal and given by: