After 2 years, the population of trout in the lake will be 2000 trout.
Given:
Initial population = 100
Growth rate = 70%
Time= 2 years
After the first year:
Population after 1 year = Initial population + (70% of the initial population)
= 100 + (0.7 * 100)
= 100 + 70
= 170 trout
After the second year:
Population after 2 years = Population after 1 year + (70% of the population after 1 year)
= 170 + (0.7 * 170)
= 170 + 119
= 289 trout
Since the calculated population exceeds this limit, the population will be limited to the maximum capacity of 2000 trout.
Therefore, the population of trout in the lake will be 2000 trout.
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The data set gives the number of bottles filled by each of the workers in a bottling plant in one day. {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}
Answer:
The best measure of center is median = 37.50.
Step-by-step explanation:
The complete question is:
The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.
{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}
The best measure of center for this data set is the , and its value expressed up to one decimal place is?
Solution:
The three measures of center are:
MeanMedianModeThe mean is the average value of the data set and uses all the values of the data set.
The median is the middle value of the data set.
Mode is the value of the data st with the highest frequency or number of occurrence.
Compute the mean, median and mode of the data set provided as follows:
[tex]\text{Mean}=\frac{1}{n}\sum X=\frac{1}{14}\times [36+18+....+72+29]=40.57[/tex]
So, the mean is 40.57.
The data set in ascending order is:
{16 , 18 , 28 , 29 , 35 , 36 , 37 , 38 , 40 , 41 , 44 , 66 , 68 , 72}
There are 14 values in the data set. That is an even data set.
The median for an even data set is the average of the middle two values.
The middle two values are: 37 , 38
Average of {37 , 38} = [tex]\frac{37+38}{2}=37.50[/tex]
So, the median is 37.50.
None of the values are repeating itself. Thus, the data does not have a mode.
For the provided data:
Mean > Median
Implying that the data set is right-skewed.
For a skewed distribution or data set the median is the measure of center.
Thus, the best measure of center is median = 37.50.
WILL GIVE BRAINLET !!
2/6 + - 5/12 ( show how u get the answer )
Answer:
[tex]-\frac{1}{12}[/tex]
Step-by-step explanation:
So we have the expression:
[tex]\frac{2}{6}-\frac{5}{12}[/tex]
To subtract, we want to have a common denominator. So, let's find a common denominator by using the LCM.
The LCM of 6 and 12 is 12.
Since the second term is already 12, let's multiply the first term by 2 to get its denominator to be 12:
[tex]=(\frac{2}{2})\frac{2}{6}-\frac{5}{12}[/tex]
Multiply:
[tex]=\frac{4}{12}-\frac{5}{12}[/tex]
Now, we can combine the fractions:
[tex]=\frac{4-5}{12}[/tex]
Subtract:
[tex]=\frac{-1}{12}[/tex]
And we are done!
Solve this, please Thanks
Answer:
i believe it’s C 80 %sure
Step-by-step explanation:
The two box plots summarize the number of hours spent in the weight room for all the players on the football team
for two different high schools. Which of the statements must be true about the distribution of data represented in the
boxplats?
Answer:
B. C. D are true, A. is false
Step-by-step explanation:
The question is attached
=======================
Answer options:
A. Players at school 1 typically spent more time in the weight room than players at school 2
False, as per plot boxes up to 75% of players from school 1 spend up to 10 hours but up to 75% of players from school 2 spend up to 12 hours in the weight roomB. The middle half of the data for school 1 has more variability than the middle half of the data for school 2
True. 4 hours variation for school 1 vs 3 hours variation for school 2C. The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both schools are equal
True as it is 8 hours for school 1 and 9 hours for school 2D. The total number of hours spent in the weight room for players at school 2 is greater than the total number of hours for players at school 1
True. Taking into account a sum of 5 numbers of the plot box. For School 1 it is: (3+4+8+10+16)= 41 and for school 2 it is: (3+6+9+12+14) = 44. Totals will have similar ratio.Henry is saving money for college. He earns $210 each week working part time after school and the weekends. Henry currently has $2,240 in savings. His parents put $100 in his savings account each week and he saves one-third of his paycheck each week. Which expression represents the situation? (n represents the number of weeks) A) 2,240 + 170n B) 2,240 + 310n C) 2,240 + 210n + 100n/ 3 D) 2,240 + 210n + 100n/ 3
Answer:
2,240 + 210n + 100n/ 3 (C).
Step-by-step explanation:
What he has in his account ($2,240) is added to what he makes each week ($210) multiplied by number of weeks (n), then added to the money his parents give him every week ($100) multiplied by the number of weeks (n) divided by one-third (⅓) of the money he saves from it.
Substitute and evaluate: x = 8, y = 6, m = 3, p = -1 , n = 1
4x – 2m6. 5y + 8p
Answer:
-4,22
Step-by-step explanation:
x = 8, y = 6, m = 3, p = -1 , n = 1
4x – 2m6. 5y + 8p
4 x 8 - 2 x 3 x 6
32- 2 x 3 x 6
32-36
-4
5 x 6 + 8 x -1
30 + 8 x (-1)
30-8
22
-6(-0.05) (-0.4). What is the answer?
Answer: i got 0 i dunno if my math wrong sorry if wrong
Step-by-step explanation:
Answer:
- 0.12!
Step-by-step explanation:
hope this helps i worked it out l, so if its wrong please tell me! ㋛︎
5. Ethan runs 5 miles in 1/2 of the hour. How many miles will he run in 1 hour? *
(10 points)
A. 20 miles per hour
B. 4 miles per hour
C. 10 miles per hour
D. 8 miles per hour
HELP PLEASE
Answer:
C
Step-by-step explanation:
Because you times 5 by 2 to get 10 as the answer.
Please help me on this one fassttt
Answer:
Step-by-step explanation:
1st, 3rd and 4th are the choices
Solve 5 vx - 6 = -20
O x= -10
O x = 10
O x = 22
No solution
Answer:
It is a hyperbole.
Step-by-step explanation:
5 v x - 6 = -20
v x = -14/5
v≠0 , x = -14/(5 v)
v = -14/(5 x)
simplify 3x-7y-(-2X)-y
Answer:
5x+6y
Step-by-step explanation:
just add like terms
Calculate f(4) for each function below.
Answer:
f (4) = 3(4) - 12
Step-by-step explanation:
if x = 4 just substitute the x for the 4 .
f(x) = 3x - 12
f(4) = 3 (4) - 12
f(4) = 12 - 12
and that cancels itself out.
which phrase describes an unknown or changeable quantity
The sum of twice a number and 7 is -19
Answer:
The number will be -13
Step-by-step explanation:
Let the no. be x
Its twice will be = 2x
According to the question ,
[tex]2x + 7 = -19\\=> 2x = -19 - 7 = -26\\=> x = \frac{- 26}{2} = - 13[/tex]
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of the number is -13.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The sum of twice a number and 7 is -19.
Let the number be M.
Now,
2M + 7 = -19
We will solve for M.
2M + 7 = -19
Subtract 7 on both sides.
2M + 7 - 7 = - 19 - 7
2M = -19 - 7
2M = -26
Divide both sides by 2.
M = -26/2
M = -13
We can cross-check.
2M + 7 = -19
2 (-13) + 7 = -19
-26 + 7 = -19
-19 = -19
Proved
Thus.,
The value of the number is -13.
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A football team lost 5 yards on each of 3 plays.Explain how you could use a number line to find the teams change in field position after 3 plays.Then find and interpret the change in position
Answer:
Kindly check explanation and attached picture
Step-by-step explanation:
Given that:
A football team lost 5 yards on each of 3 plays
Using a number line we could show the loss in yard after each play. With a loss of 5 yards after each play, there will be a total of:
(Number of plays * yards lost) = (3 * 5) = 15 yards
The attached picture shows a number line moving a distance of 5 yards to the left ( negative direction) after each play after which it arrives at a total loss of 15 yards after the third play.
|x + 5| – |2w| When x = 2 and w = –4
Answer:
-1
Step-by-step explanation:
lx+5l -- l2wl
l2+5l -- l2x-4l
7 -- l2x-4l
7 -- 8
-1
Need help fast!!!! Pls to
Which statement describes how the graph of a function h(x) and its inverse h^-1(x) are related
Answer:
B
Step-by-step explanation:
did test got it right
Answer:
pretty sure its B
Step-by-step explanation:
Dinner costs $30 and you
want to leave a 14% tip.
How much money should
you leave as a tip?
Answer:How much tip do you leave for $30?
Tip on $30
Subtotal 30.00
15% Tip 4.50
Total 34.50
Step-by-step explanation:
solve when x=3
36x-6+7x•2x
Answer:
228
Step-by-step explanation:
We just have to plug in x. So:
36(3)-6+7(3)*2(3)
Simplify:
108-6+21*6
108-6+126
102+126
228
Answer:
228
Step-by-step explanation:
Insert the given value of x into the expression:
[tex]36(3)-6+7(3)*2(3)[/tex]
Simplify the multiplication:
[tex]108-6+21*6[/tex]
Follow the order of operations using PEMDAS:
[tex]108-6+126\\\\102+126\\\\228[/tex]
:Done
Parentheses ()
Exponents [tex]a^x[/tex]
Multiplication and Division left to right × ÷
Addition and Subtraction left to right + -
I’m literally begging someone please help (just number 10. show work)
Answer:
[tex]h = \frac{2A}{b +B } [/tex]
Height= 16 feet
Step-by-step explanation:
Please see attached picture for full solution.
A non-profit organization is having a couple’s fundraiser. The banquet hall will only hold 250 people. The President, Vice-president, two volunteers, and a guess speaker will be working the event. How many couples will be able to attend the banquet? (Pls help me solve the equation)
You have $16 and a coupon for a $5 discount at a local
supermarket. A bag of chips costs $2.50. How many
bags of chips can you buy?
Ryan has a collection of 220 baseball cards he letshis brother have 1/4 of his collection until 20% of his collection to the baseball card shop she takes 15 cards to school to give his friend how many baseball cards remaining Ryan's collection
Stu had quite a collection of baseball cards. One day he decided to give half of them to his brother Seth. Then he gave one-third of what he had left to a friend. Then he gave half of what was left to another friend. Stu now has 50 baseball cards. How many did he start with? It seems that I should work
let Stu have x cards
he gave half to seth
so he had x/2 cards
He had x/2 he gave 1/3 of x/2 to a friend
=x/6.
Now he had x/2 - x/6 = x/3 with him balance
1/2 of x/3 he gave to another friend =x/6
Balance he had was x/3 - x/6 = x/6
x/6 = 50
multiply by 6
x= 300
Answer:
Now he had x/2 - x/6 = x/3 with him balance
1/2 of x/3 he gave to another friend =x/6
Balance he had was x/3 - x/6 = x/6
x/6 = 50
multiply by 6
x= 300
Step-by-step explanation:
-9(x - 3)
(Distributive property)
Answer:
-9x+27
Step-by-step explanation:
It's a staple of American school lunches: peanut butter sandwiches (usually with jelly, too). The average American child will eat 1500 peanut butter sandwiches by the time she graduates from high school! (On average, that's one sandwich every four days.) It takes 850 peanuts to make an 18-oz jar of peanut butter, and an average sandwich has two ounces of peanut butter on it. How many peanuts will be needed to make all of the sandwiches a child will eat by graduation?
Answer:
The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation is approximately 141,667 peanuts
Step-by-step explanation:
The number of peanut butter sandwiches that an average American child will eat by the time she graduates from high school = 1500 peanut butter sandwiches
The number of sandwich taken every four days = 1 sandwich
The number of peanuts required to make 18-oz jar of peanut butter = 850 peanuts
The amount of peanut butter in an average sandwich = Two ounces
Therefore, we have by the time of graduation;
Each American child will have taken 1500 sandwiches
The 1500 sandwiches will have = 1500 × 2 ounce = 3,000 ounces of peanut butter
The number of 18-oz jars of peanut butter that will contain up to 3000-oz of peanut butter = 3000-oz/(18-oz) = 166.67 Jars
The number of peanuts required to make the 166.67 Jars of peanut butter = 850 peanuts/jar × 166.67 Jars = 141666.67 ≈ 141,667 peanuts
The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation ≈ 141,667 peanuts.
8 to the power of 8 = ?. (BOOT) To the power of three = 27 WHAT IS THE BOOTS VALUE?
WILL GIVE FIVE STAR ANSWER!!!!!!!!!!!!!!!!!!
Answer:
8 to the power of 8 is 16777216. 3 to the power of 3 is 27. 3 is the boots value. i think.
Step-by-step explanation:
two numbers are in the ratio 5:3.if they deffer by 18,what are the numbers?
Answer:
let common ratio between them be x
So, 5x,3x
5x-3x=18
2x=18
2x/2=18/2
x=9
Step-by-step explanation:
I hope it helps you☺️
If yes, do mark my answer as brainliest
2 *p2 + 3s for p = 3 and s = 11
Answer:
51
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
2p² + 3s
Step 2: Define variables
p = 3
s = 11
Step 3: Replace variables
2(3)² + 3(11)
Step 4: Evaluate
2(9) + 33
18 + 33
51
Please help me with this