Answer:
Population of town in Year 2010 is 3476.
Step-by-step explanation: Formula for the Population after t years is given by P(t) = P (1-i/100)^n
where P is initial population.
Here in question P is initial population.
If we compare the equation given in the question to the problem equation
we have P = 3476 , which is initial population.
Answer:
The population of the town in 2010 is 3476.
Step-by-step explanation:
The box plots below show distribution of grades in one class on two tests.
Which measures of center and variability would be best to use when making comparisons of the two data sets?
For comparing two data sets using box plots, 'median and IQR' is the best choice as they describe the center and variability effectively, especially for skewed data. Therefore, option d is the correct answer.
When comparing two data sets using box plots, the best measures of center and variability to use are often the median and interquartile range (IQR).
The median best describes the center of a skewed distribution, as it is not affected by extreme scores, and the IQR describes the variability by measuring the spread of the middle 50 percent of the data.
Therefore, between the options provided, 'median and IQR' would be the best measures to compare the two data sets of Test 1 Grades and Test 2 Grades.
A box plot displays the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value.
The IQR is calculated by subtracting Q1 from Q3, giving us the spread for the middle 50 percent of the data. This is helpful when assessing how close the data values are to the center and how they are distributed within that range.
Therefore, option d is the correct answer.
at a wonderful water park, the water trough ride $2.75 per ride. if you have $15, then how many times could you ride
Answer:
5 times
Step-by-step explanation:
Since it is 2.75 dollars per ride if you multiply 2.75 times 5 you get $13.75 and you cant add anymore.
If the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs” what is the alternate hypothesis?
Answer:
“The true mean weight of the piglets is at most 39lbs”would be the alternate hypothesis.
Step-by-step explanation:
Given that the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”
We have to find the alternate hypothesis.
In hypothesis testing, alternate is the opposite of null hypothesis. If null hypothesis supports one statement alternate hypothesis opposes it. In other words, alternate hypothesis would be the negative of the claim of null hypothesis.
Here the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”
i.e H0: [tex]x bar\geq 39 lbs[/tex]
So alternate hypothesis
Ha: [tex]x bar\leq 39 lbs[/tex]
Based on the latest census there are 9860 students in a population of 62400 people. What percent of the total population is students?
Answer: 15.80%
Step-by-step explanation:
Given: Total population=62400
The total number of students=9860
To find the percent of the total population is students, we need to divide total population by total number of students and then multiply with 100, we get
The percent of the total population is students=[tex]\frac{9860}{62400}\times100[/tex]
[tex]=\frac{9860}{624}\\=15.80\%[/tex]
Hence, the percent of the total population is students is 15.80%.
Final answer:
To calculate the percentage of the total population that are students, divide the number of students (9860) by the total population (62400) and multiply by 100, resulting in approximately 15.8%.
Explanation:
To find the percentage of the population that are students, we use a simple formula where we divide the number of students by the total population and then multiply the result by 100. Applying this to the given numbers:
Percentage of students = (Number of Students / Total Population) × 100
Using the numbers provided:
Percentage of students = (9860 / 62400) × 100
Percentage of students = 0.15801282 × 100
Percentage of students = 15.801282%
Therefore, approximately 15.8% of the total population is students.
(x^2+10x+26)/(x+6) How do you get the quotient and remainder
Answer:
quotient is x+4 and remainder 2.
Step-by-step explanation:
Given an polynomial of degree 2 and we are to divide it by x+6.
To find quotient and remainder
We can do synthetic division
When we divide by x+6 consider -6
and write on left. Write the coefficient 1 , 10, 26 inside
-6 1 10 26
x -6 -24
---------------------
1 4 2 =R
So remainder is 2 and quotient is x+4
Let us verify
(x+4)(x+6) = [tex]x^2+10x+24[/tex]
If we add the remainder we are getting the given expression.
[tex]x^2+10x+26[/tex]
which of the following lines is perpendicular to the line y=-2
A.) y=1/5x+3
B.) y+3=-5(x+2)
C.) y=2
D.) x=-2
Answer:
D, x = -2
Step-by-step explanation:
The slope of y = -2 is 0, because it is horizontal. The perpendicular slope of a horizontal slope is a vertical, which has x equaled to a number. The answer is D, x = -2, because its slope is undefined, or vertical. This makes it perpendicular to 0, or horizontal.
Play a video game that takes 5 minutes and make at least 12 shots that will result in 200 Virtual Coins per shot. If in one hour, a game is played at least 12 games; with an average score of 12 points per game. What will be on average how many VCs earned? How many points received in an hour?
Answer:not enough infoStep-by-step explanation:
Answer: zom me with 2 o's
Id:2478158957
Password: 8xle3l
find the slope of the line on the graph write your answer as a fraction or a whole number not a mixed number or decimal
Robin is standing on the top of a 40-foot flagpole at 1 p.m. At the same time, a 4-foot child on the ground casts a shadow of length 0.8 feet. If Robin is 6 feet tall, how much longer is the shadow of the flagpole and Robin together than the shadow of the flagpole alone? Specify your answer as a decimal to the nearest tenth.
Answer:
1.2 ft
Step-by-step explanation:
We can use ratio's to solve this problem. Put the item on top, and the shadow on the bottom
40 ft flagpole 4 ft child
--------------------- = --------------------
x ft shadow .8 ft shadow
Using cross products
40 * .8 = 4x
32 = 4x
Divide each side by 4
32/4 = 4x/4
8 = x
The flag pole casts an 8 ft shadow
The question asks how much longer is the shadow of the flagpole and Robin than the flagpole? In other words, how long is Robins shadow
40 ft flagpole 6ft Robin
--------------------- = --------------------
8 ft shadow x ft shadow
Using cross products
40 *x = 6*8
40x = 48
Divide by 40
40x/40 = 48/40
x = 1.2
Answer:
1.2
Step-by-step explanation:
The height of an object and the length of its shadow are directly proportional. Let h be the height of an object and s be the length of its shadow. From the information about the child, we have h/s = 4/(0.8) = 5. The flagpole with Robin on top has a height of 46 feet. Suppose its shadow has length x. Solving the equation 46/x = 5 for x gives us x = 46/5 = 9.2 feet. The flagpole alone is 40 feet tall. Suppose its shadow has length $y.$ Then, we must have 40/y = 5. Solving this equation gives y=8 feet. So, the difference in shadow lengths is 9.2 -8= 1.2
4. Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground.
Find the ground distance from Charlie to the plane. Show how you know.

check the picture below.
make sure your calculator is in Degree mode.
now, Charlie's eyes are 5.2' from the ground, however the distance from his eyes over the horizontal and the ground over the horizontal, is the same, so taking the tan(32°) at his eyes level will give that horizontal distance.
Pamela is 13 years younger than jiri. The sum of their ages is 41. What is jiri’s age?
Answer:
27
Step-by-step explanation:
Pamela is 13 years younger than Jiri and the sum of their ages is 41, therefore (x=Jiri's age) (x-13) + x = 41) 2x-13=41 x=14. Pamela is 14 and Jiri is 27
Solve for x. Use the quadratic formula. 3x2+7x+3=0 Enter the solutions, in simplified radical form, in the boxes. x = or x =
Answer:
Step-by-step explanation:
X= (-7+radical 13)/6
X=(-7-radical 13)/6
PLEASE HELP I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!!!
In May, 2018 a store had a furniture with a listed price of $550, having a sales tax of 3% on the listed price. Next month the price increased by 33 1/3%. What sales tax should be paid in dollars on the new price?
Answer:
$22.00 will be paid in taxes on the new amount
Step-by-step explanation:
550 x .3333 = 183.315 (round up to 183.32)
550 + 183.32 = 733.32 is the new price for the furniture
733.32 x .03 = 21.9996 (round up to 22.00)
IN 1999 THERE WERE 9860 GREAT DANES REGISTERED WITH THE AMERICAN KENNEL CLUB. THE NUMBER OF REGISTERED LABRADOR RETRIEVERS WAS 6997 MORE THAN FIFTEEN TIMES THE NUMBER OF REGISTERED GREAT DANES. HOW MAN REGISTERED LABRADOR RETRIEVERS WERE THERE?
Answer:
154,897 REGISTERED LABRADOR RETRIEVERS WERE THERE
Step-by-step explanation:
Given the statement: IN 1999, THERE WERE 9860 GREAT DANES REGISTERED WITH THE AMERICAN KENNEL CLUB.
Also, THE NUMBER OF REGISTERED LABRADOR RETRIEVERS WAS 6997 MORE THAN FIFTEEN TIMES THE NUMBER OF REGISTERED GREAT DANES
Let x represents the number of Great Danes registered and y represents the number of Labrador retrievers registered.
The statement:
"Fifteen times the number of registered great Danes " means 15x
and
"6997 more than fifteen times the number of registered great Danes" means 15x + 6997
then as per the given statement:
x = 9860 .
To solve for y;
y = 15x+ 6997
Substitute the value of x we get;
[tex]y = 15(9860)+6997[/tex]
Simplify:
y = 154,897
Therefore, the registered Labrador Retrievers were there are; 154,897
The number of registered Labrador Retrievers in 1999 was calculated to be 154897 by multiplying the number of registered Great Danes (9860) by 15 and then adding 6997 to the result.
To determine the number of registered Labrador Retrievers, we need to calculate fifteen times the number of registered Great Danes, then add 6997 to that product. We are given that in 1999, there were 9860 registered Great Danes with the American Kennel Club. Let's do the math:
Multiply the number of Great Danes by 15: 9860 × 15 = 147900.Add 6997 to the product from step 1 to find the number of Labrador Retrievers: 147900 + 6997 = 154897.The number of registered Labrador Retrievers was 154897.
In parallelogram ABCD , diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E, AE=x2−16 , and CE=6x . What is AC ? Enter your answer in the box. units
Answer:
96 units
Step-by-step explanation:
If ABCD is parallelogram, then its diagonals bisect each other. This means that
AE=EC;BE=ED.Since [tex]AE=x^2-16[/tex] and [tex]EC=6x,[/tex] you get
[tex]x^2-16=6x,\\ \\x^2-6x-16=0,\\ \\D=(-6)^2-4\cdot 1\cdot (-16)=36+64=100,\\ \\x_{1,2}=\dfrac{-(-6)\pm \sqrt{100}}{2\cdot 1}=\dfrac{6\pm 10}{2}=8,\ -2.[/tex]
The distance cannot be negative, thus, [tex]x=6\ units.[/tex]
[tex]AE=8^2-16=64-16=48,\\ \\CE=6\cdot 8=48,\\ \\AC=AE+EC=48+48=96\ units.[/tex]
It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day. Working at the same pace, how many days will it take 2 people to do the same work, if they are working 5 hours a day?
Answer:
It will take 2 people 10 days to complete the task.
Step-by-step explanation:
It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day, i.e., 10 people take 10 working hours to complete a task.
When number of people is decreased by 5 times, i.e., 10÷5=2, then the amount of working hours are increased by 5, i.e., 10×5= 50 hours.
If the 2 workers work 5 hours per day then they will require 10 days to complete the task of 50 hours.
One characteristic of all linear functions is that they change by
1) equal factors over equal intervals
2) unequal factors over equal intervals
3) equal differences over equal intervals
4) unequal differences over equal intervals
The correct answer is:
3) equal differences over equal intervals
Linear functions exhibit a consistent rate of change over equal intervals, leading to equal differences between successive values of the function. This characteristic is fundamental to understanding linearity.
When graphed, linear functions form straight lines, and the slope of the line represents the rate of change or the coefficient of the independent variable. Regardless of the specific values of the function, the change in output over any fixed change in input (interval) remains constant.
This property is referred to as having equal differences over equal intervals. It contrasts with non-linear functions, where the rate of change varies across the function's domain, resulting in unequal differences over equal intervals.
Identifying and understanding this characteristic helps in recognizing linear relationships and interpreting their behavior in various contexts, from mathematics to real-world applications.
Solve this absolute value inequality.
{14-2x]<8
[tex]|14-2x|<8\iff14-2x<8\ \wedge\ 14-2x>-8\qquad\text{subtract 14 from both sides}\\\\-2x<-6\ \wedge\ -2x>-22\qquad\text{change the signs}\\\\2x>6\ \wedge\ 2x<22\qquad\text{divide both sides by 2}\\\\x>3\ \wedge\ x<11[/tex]
I forgot how to divide
Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. ...
Divide the first digit.
Divide the first two digits.
Enter the first digit of the quotient.
(See image attached for an example)
A recipe for beef stew requires 1 and 3/4th pounds of meat.You are making 6 and 1/2 batches of the recipe. how much meat do you need?
Answer:
11.375 pounds
Step-by-step explanation:
1.75 * 6.5 = 11.375
11 and 3/8 pounds of meat are required in total.
The student is asking a multiplication problem that involves fractions. To find the amount of meat needed, we multiply the amount of meat required for one batch by the number of batches.
Step-by-Step Calculation
First, we must convert the fractions into improper fractions to simplify calculation. The recipe requires 1 and 3/4 pounds of meat, which is
7/4 pounds (since 1 pound is 4/4 pounds, we add 3/4 pounds to get 7/4 pounds).
Next, the number of batches is 6 and 1/2, which as an improper fraction is 13/2 batches.
To find the total amount of meat required, we multiply the pounds per batch by the number of batches: (7/4) pounds x (13/2) batches = (7/4) x (13/2) = (7 x 13) / (4 x 2) = 91/8 pounds.
Finally, convert 91/8 pounds to a mixed number: 11 and 3/8 pounds of meat are required in total.
A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat? A. 9,442 B. 3,442 C. 4,442 D. No one stood; there were enough seats
Answer:
The answer is B.
Step-by-step explanation:
So, there are 46,000 seats for a baseball game and 49,442 attended. You need to subtract 46,000 from 49,442 to get the answer that is 3,442.
what is 2+2 divided by 4 * 5 * 6^3
give an 20 word explanation for 50 pts.
Answer:
The first thing we are going to do is simplify the equation. 2 + 2 equals to 4. 6^3 equals to 216. 4 x 5 equals to 20. Now, we solve the equation to the right because we multiply before we divide 20 x 216 = 4,320 and now we are going to divide 4,320 by 4 which equals to 1,080.
Step-by-step explanation:
Answer:
542
Step-by-step explanation:
You must use order of operations: PEMDAS
P_arenthesis
E_xponents
M_ultiplication or
D_ivision left to right
A_ddition or
S_ubtraction left to right
So there are no parenthesis, then you do exponents.
2 + 2/4 * 5 * 6^3
So six times six three times.
2 + 2/4 * 5 * 216
Now divide usually from left to right.
2 + 0.5 * 5 * 216
Multiply
2 + 2.5 * 216
Multiply for the last time 2.5 by 216
2 + 540
Finally add
542
Hope this helps future students,
Que.
Complete the point slope equation of the line through (-2,6) and (1,1)
Answer:
y-1 =( -5/3) (x-1)
Step-by-step explanation:
The point slope equation for a line is
y-y1 = m(x-x1)
where m is the slope and (x1, y1) is a point
We need to determine the slope
The formula for slope is
m = (y2-y1)/(x2-x1)
where (x1,y1) and (x2,y2) are points
m = (1-6)/(1--2)
= (1-6)/(1+2)
=-5/3
The slope is -5/3
Now we can substitute the slope into the equation for a line. We can use either point. I will use (1,1)
y-y1 = m(x-x1)
y-1 =( -5/3) (x-1)
Answer:
y-1 =( -5/3) (x-1)
Step-by-step explanation:
The point slope equation for a line is
y-y1 = m(x-x1)
where m is the slope and (x1, y1) is a point
We need to determine the slope
The formula for slope is
m = (y2-y1)/(x2-x1)
where (x1,y1) and (x2,y2) are points
m = (1-6)/(1--2)
= (1-6)/(1+2)
=-5/3
The slope is -5/3
Now we can substitute the slope into the equation for a line. We can use either point. I will use (1,1)
y-y1 = m(x-x1)
y-1 =( -5/3) (x-1)
Solve for x. Please show work.
Answer:
x= to 5
Step-by-step explanation:
a copy machine can print 480 copies every 4 minutes how many copies can it print in 10 minutes
10·(480:4)=10·120=1200
Answer:
It can print 1200 copies in 10 minutes.
Step-by-step explanation:
This problem can be solved using a proportion.
Let x be the number of copies that can be printed in 10 minutes.
480 copies = 4 minutes
x = 10 minutes
cross-multiply
4 × x = 480 × 10
4x = 4800
Divide both-side of the equation by 4
[tex]\frac{4X}{4}[/tex] = [tex]\frac{4800}{4}[/tex]
(On the left-hand side of the equation, 4 at the numerator will cancel-out 4 at the denominator, leaving us with just x, while on the right-hand side of the equation 4800 will be divided by 4)
x = 1200 copies.
Therefore, It can print 1200 copies in 10 minutes.
Sal solves the following word problem: You have 50 ounces of a 25% saline solution .How many ounces of 10% saline solution must you add to make a solution that is 15% saline ?
HELP ASAP!!! WILL GIVE BRAINLIEST!!!!!The equation y = mx + b is used to express the equation of a line. Which solution is a correct way to solve this equation for x in terms of y?
To solve the equation y = mx + b for x, subtract b from both sides and then divide by m, resulting in x = (y - b) / m.
Explanation:To solve the equation y = mx + b for x in terms of y, you need to isolate x on one side of the equation. Here’s how you can do it step by step:
Start with the original equation y = mx + b.Subtract b from both sides of the equation to get y - b = mx.Divide both sides by m (assuming m ≠ 0) to solve for x which gives us (y - b) / m = x.Therefore, the equation solved for x in terms of y is x = (y - b) / m.
6v *2 + 4v*2 please solve this equation
Answer:
10v²
Step-by-step explanation:
6v² + 4v² =
10v²
Jesse played two days of golf. On the second day he got a score of 6 below par or -6. His total score for the two days was 0 above par or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Answer:
0 = -6 + x
Step-by-step explanation:
x = Day 1 Scores
The equation I stated above represents what he scored the second day plus whatever he scored the first day to equal zero.
Hope This Helps :)
Answer:
0 = -6 + x
Step-by-step explanation:
Sarah had 12 free throw attempts during a game and made at least 75% of the free throws. What is the greatest number of free throws Sarah could have missed during the game.
Answer:
3
Step-by-step explanation:
25 percent of 12 is 3
Answer:
She missed 3 free throws.Step-by-step explanation:
According to the problem, Sarah's percentage of successful free throws is 75%, this means that she failed a 25% of the total. If the total free throws are 12, then:
[tex]12(0.25)=3[/tex]
(Remember that, 25% is divided by 100, to have the decimal expression of this percentage)
Therefore, Sarah missed 3 free throws during the game.