1) What is the solution of the inequality? 42-8

hail 0.5 inch deep and weighing 1800 pounds covers a roof. the hails weight varies directly with its depth. write an equation th

frozen [14]

In a directly proportional relationship, increasing one variable will increase another. The weight of the roof whose depth is 1.75 inches is 6,300 pounds.

<h3>What is the directly proportional relationship?</h3>

In a directly proportional relationship, increasing one variable will increase another. This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.

Let there are two variables p and q. Then, p and q are said to be directly proportional to each other if p = kq, where k is some constant number called the constant of proportionality.

Given the hail's weight varies directly with its depth. Therefore, the relation can be written as,

Weight ∝ Depth

W∝D

Introducing the constant to remove the proportionality we will get the equation as,

W = kD

1800pounds = k × 0.5 inches

3600ponds/inches = k

Now, the weight of the roof whose depth is 1.75 inches can be written as,

W = kD

W = 3600 × 1.75

W = 6,300 pounds

Hence, the weight of the roof whose depth is 1.75 inches is 6,300 pounds.

Learn more about directly proportional relationship:

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8 0

2 years ago

The highway mileages of 147 cars are in a file named CARS2.† These cars are 2003 models. Find the mean, standard deviation, and

grigory [225]

In statistics, mean is the average in a set of data collected. To calculate the mean, you have to add up all the numbers in the table and divide it by the number of data that exists. For example, if the data set is 2 4 1 5 2 8, the mean will be:

mean = $\frac{(2+4+1+5+2+8)}{6}$ = 3.6

So, for this data set, the mean is 3.6.

The median is also a average number, however, the median is the middle value in the list. For example, with the data set above, the median is 3, because, as the set has an even number of data, the middle term would be the mean of the two middle number, in other words:

median = $\frac{1+5}{2}$ = 3

The standard deviation (σ) is the spread of data distribution, which means it's how "far" a number is from the mean of the set. The formula is

σ = √∑ (x - μ)²/N, where ∑ is the total sum; μ is the mean; and N is the number of data points in the sample. So, to calculate the standard deviation, using the example:

1) Calculate the mean of the set: μ=3.6

2) Find the difference between each data point and the mean and then, the square of each one:

(2-3.6)² = 2.56;

(4-3.6)² = 0.16

(1-3.6)² = 6.76

(5-3.6)² = 1.96

(2-3.6)² = 2.56

(8-3.6)² = 19.36

3) Add up all the squares: ∑= 33.36

4) Divide by the number of data points: $\frac{33.36}{6}$ =5.56

5) Take the square root: σ = 2.36

For the set of numbers above (2,4,1,5,2,8), the standard deviation is

σ = 2.36.

6 0

3 years ago

Ab and ba name the same ray. always sometimes never

vekshin1

The correct answer is:

never

Explanation:

A ray is named using the endpoint first and then another point on the ray. This means that ray AB has endpoint A and point B on the ray; ray BA has endpoint B and point A on the ray. These are not the same ray, as they do not have the same endpoint.

7 0

3 years ago

Read 2 more answers

point b (3,6) is dilated from the origin by a scale factor of r = 2/3 . what are the coordinates of b’

frez [133]

joke 1. 2 hunters were out in the woods right while they were following fresh tracks from a big elk one of the hunters drop to the ground and his eyes roll backwards so the other hunter whips out his phone and calls the hospital "I THINK MY FRIEND IS DEAD!" he told the doctor the doctor told him " Calm down let's make sure he's dead. so there is a moment of silence the you here a big pop the hunter says "NOW WHAT!" (he shot his friend)

joke 2. I wanted to be a democrat for halloween but i could not stick my head far enough up my a/s/s to be one.

Joke 3. What has more lives than a cat? A frog cause it croaks every night.

brainliest for being funny?

3 0

2 years ago

One third plus four sixths plus six eighteenths equals blank

ss7ja [257]

Answer:

1 1/3

Step-by-step explanation: