Write the equation of the line passing through the point (2, -1) with a slope of -3.

Data was collected on the number of pets and the height of a random group of students. Identify the correlation you would expect

Ipatiy [6.2K]

No correlation
A scatterplot is used to represent a correlation between two variables. There are two types of correlations: positive and negative. Variables that are positively correlated move in the same direction, while variables that are negatively correlated move in opposite directions.

4 0

3 years ago

two crates contain Apple's, pears and oranges. there are 184 apples and pears in crate one and 248 apples and oranges in the sec

Ray Of Light [21]

Answer: There are 152 apples.

The explanation is shown below:

- You need to write the following three equations, where $a$ is the the number of apples, $p$ is the number of pears and $o$ is the number of oranges:

1) $a+p=184$

2) $a+o=248$

3) $o=3p$

- You must substitute the equation 3) into the equation 2):

$a+3p=248$

- Now, you need to solve for $p$ in the equation 1) and then you must substitute it into $a+3p=248$ :

$p=184-a$

$a+3(184-a)=248$

- Solve for $a$ , as following:

$a+552-3a=248\\-2a=-304\\a=\frac{-304}{-2}\\a=152$

- Therefore, there are 152 apples.

7 0

3 years ago

(i)Find the area of the parallelogram with base 14 cm and height 15 cm.

gulaghasi [49]

Answer:

The area should be "210 cm to the second power"

7 0

4 years ago

Read 2 more answers

A hog producer is feeding soybean meal and corn to his pigs. He needs to know how many pounds he needs to feed of each in order

Mazyrski [523]

Answer:

Feed 1, Soybean meal required = $\dfrac{2000}{3} \text{ lbs.}$

Feed 2, Corn meal required = $\dfrac{4000}{3} \text{ lbs.}$

Step-by-step explanation:

Total feed is 1 ton i.e. 2000 lbs.

Let x be the amount of Feed 1 required.

Feed 1 has $45\%$ of protein.

$\text{Protein in Feed 1 = }x \times \dfrac{45}{100} ..... (1)$

Then, amount of Feed 2 required = $(2000 - x) \text{ lbs.}$

Feed 2 has $15\%$ of protein.

$\text{Protein in Feed 2 = }(2000 - x) \times \dfrac{15}{100} ..... (2)$

As per question, total protein required is $25\%$ of 2000 lbs .

Adding (1) and (2) and putting it equal to total protein required.

$\Rightarrow x \times \dfrac{45}{100} + (2000 - x) \times \dfrac{15}{100} = 2000 \times \dfrac{25}{100}\\\Rightarrow 45x + 30000 - 15x = 50000\\\Rightarrow 30x = 20000\\\Rightarrow x = \dfrac{2000}{3}$