Solve the following equation for

Which statement correctly compares the average number of eggs laid per day for each barn?

kicyunya [14]

By taking the average number of eggs for both barns, we will see that the correct option is A.

<h3>How to get the average?</h3>

For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

For barn 1, the set is {2, 5, 5, 6}

So the mean is:

M1 = (2 + 5 + 5 + 6)/4 = 4.5

For the barn 2, the set is {3, 6, 8, 9}

So the mean is:

M2 = (3 + 6 + 8 + 9)/4 = 6.5

Now, taking the quantity 100%(M2 - M1)/M1 we get:

100%*(6.5 - 4.5)/4.5 = 44%

So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.

If you want to learn more about averages, you can read:

brainly.com/question/20118982

5 0

3 years ago

A car drives 195 miles in 3 hours and 15 minutes. What is the average speed of the car

zhuklara [117]

Answer: It is 60 miles per hour

Step-by-step explanation: average speed = total distance / total time

Now you know the answer as well as the formula. Hope this helps, have a BLESSED AND WONDERFUL DAY!

- Cutiepatutie ☺❀❤

3 0

3 years ago

I really need help some one please

Alika [10]

The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)

In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0.

x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x - 8) in our factorization.

You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times.

7 0

3 years ago

The population of wolves in a sanctuary has been growing by about 20 wolves a year. In 2012, there were 415 wolves in the sanctu

Masteriza [31]

Answer:

A: P = 20n +415

B: P = 20t + 375

C: Both equations agree, and in 2018 there will be about 535 wolves

D: The advantage of defining the input variable is that it helps simplify the calculation and makes it more intuitive.

Step-by-step explanation:

P = <u>Number of wolves</u>

n = <u>number of years since 2012</u>

<em>we know </em><em>in 2012</em><em> there were </em><u><em>415 wolves in the sanctuary</em></u><em>, and that the </em><em>sanctuary </em><em>has been </em><em>growing about </em><u><em>20</em></u><u><em> wolves </em></u><u><em>a year.</em></u>

we know this is correct because we are trying to create an equation that represents the number of wolves(p) throughout the years(n), so we are trying to figure out what P equals. We know that the sanctuary grows about <u>20</u> wolves a year, and n is the number of years since 2012. As well as obviously,<u> we add 415 to our equation because there is </u><u>already 415 wolves in the sanctuary.</u>

P = <u>Number of wolves</u>

t = <u>number of years since 2010</u>

x = <u>unknown variable(number of wolves in 2010)</u>

Here we are trying to identify what x is,<u> in 2012 there was 415, each year the number of wolves grew by 20.</u>

P = 40 - 415 = 375

<u>We now know there were 375 wolves in 2010</u>

<h3>Hence our equation is P = 20t + 375</h3>

<h3>C:</h3><h3>First let's plug in our first equation</h3>

P = 20n + 415

(To find n all we do is subtract 2018 and 2012, which equals 6.)

P = 20(6) + 415

(Solve)

P = 120 + 415

<em>Our first equation tells us that in 2018 there will be 535 wolves.</em>

<h3>Plug in our second equation</h3>

P = 20t + 375

(To find t all we do the same thing we did last time except now we subtract 2018 from 2010, which equals 8)

P = 20(8) + 375

P = 160 + 375

<h2>Both our equations agree, and in 2018 there will be 535 wolves.</h2>

The advantage of defining the input variable is that it helps simplify the calculation and makes it more intuitive.

7 0

2 years ago

Please help my math grade needs help

Sladkaya [172]

Answer:

4. 16.5 minutes 2508 words - Robert

5. 60 words (c)

6.I don't really know sorry :)

Step-by-step explanation:

4. 304 ÷ 2 = 1 minute 152 words - Robert

2508 ÷ 152 = 16.5 minutes 2508 words - Robert

5. 152 × 20 = 3040 words - Robert

483 ÷ 3 = 1 minute 161 words - Michaela

161 × 20 = 3220 words - Michaela

316 ÷ 2 = 1 minute 158 words - Laura

158 × 20 = 3160 words - Laura

= 3220 - 3160

= 60 words (c)

Please give me brainliest ;)

4 0

2 years ago