Two-thirds of the students at the local community college live in the county. If there are 2028 students enrolled, how many do not live in the county?
Answers
SOLUTION:
Step 1:
In this question, we are told that the two-thirds of the students at the local community college live in the county.
If there are 2028 students enrolled, we are meant to find how many do not live in the county.
Step 2:
If two-thirds of the students live in the county.
Then, we have that:
\((\text{ 1 - }\frac{2}{3})\text{ = }\frac{1}{3}\text{ do not live in the county.}\)Step 3:
Then, to calculate the number of students that do not live in the county. we have that:
\(\frac{1}{3}\text{ x 2028 = }\frac{2028}{3}=\text{ 676 students}\)CONCLUSION:
There are 676 students that do not live in the county.
Related Questions
If the polynomial function is written in the form P(x) = c(x − a)2(x − b)(x + d), where a, b, c, and d are all positive integers, then what is the value of a?
Answers
Since the leading coeficient is 1, then c must be equal to 1.
Now, by looking at the graph, we have that
\(\begin{gathered} P(-3)\text{ = 0} \\ P(1)\text{ = 0} \\ P(4)\text{ = 0,} \end{gathered}\)so, we have that (x+3), (x-1) and (x-4) are all factors, and so we have that d=3.
We only need to figure out if a=1 or a=4.
So we have two options
\(\begin{gathered} P_1(x)=(x-1)^2(x-4)(x+3) \\ or \\ P_2(x)=(x-4)^2(x-1)(x+3) \end{gathered}\)If we evaluate the polynomial in x=--2 and x=3 then it have to be negative, so
\(\begin{gathered} P_1(-2)=(-2-1)^2(-2-4)(-2+3)=9(-6)(1)\text{ = -36} \\ \text{and} \\ P_1(3)=(3-1)^3(3-4)(3+3)=4(-1)(6)=-24. \end{gathered}\)on the other hand
\(\begin{gathered} P_2(-2)=(-2-4)^2(-2-1)(-2+3)=36(-3)(1)\text{ = -108} \\ \text{and} \\ P_2(3)=(3-4)^2(3-1)(3+3)=1(2)(6)=12 \end{gathered}\)We can see that the last evaluation is not negative, so this polynomial (P2) cannot be the one we are looking for. Thus, the polynomial is
\(P(x)=(x-1)^2(x-4)(x+3)\)and a=1.
Identify the meaning of the variables in the point-slope form of a line.
Answers
Answer:m=the slope of the line
(x1, y1)= a given point on the line (x,y)=any point on the line
Step-by-step explanation:
Answer:
answer in picture
Step-by-step explanation:
Identify the point in Figure 2 that corresponds to point M in Figure 1.
Answers
Answer:
i need a picture. If i had a picture i would be happy to help!
Step-by-step explanation:
what is 1/2 x 1/2 x 1/2 x 1/2
Answers
Answer:
0.0625
Step-by-step explanation:
Hope this helps :)
Have a nice day <3
Answer:
1/16
Step-by-step explanation:
Just multiply all numerators and all denominators: 1x1x1x1/2x2x2x2. That gives you your total of 1/16.
ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????
Answers
you slide the shape over (transformation) to get to 2 and then you turn the shape (rotation) to get to 3
17. Find the circumference given
KL 4.6 in. Round to the nearest
tenth.
Answers
The circumference of the given circle is approximately 47.3 inches.
Since the length of the arc KL and the measure of the central angle ∠KOL are known, we can use the formula for arc length to find the circumference of the circle:
arc length = (central angle / 360°) x circumference
Plugging in the known values, we have:
4.6 in = (35° / 360°) x circumference
Solving for the circumference, we get:
circumference = 4.6 in / (35° / 360°)
circumference = 4.6 in x (360° / 35°)
circumference ≈ 47.3 in (rounded to the nearest tenth)
Therefore, the circumference of the circle is approximately 47.3 inches.
Learn more about the arc of the circle here:
brainly.com/question/1577784
#SPJ1
What are the 2  formulas to find the area of a circle
Answers
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
What is the area of a circle?The area of a circle is given by the formula A = πr², where r is the radius of the circle.
According to the given information:The area of a circle can be found using either of the following formulas:
\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.
\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.
Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
To learn more about the area of a circle visit:
https://brainly.com/question/10645610
#SPJ1
Analyze the diagram below and complete the instructions. Find the value of x and the value of y
Answers
The value of the variable x and y will be 15 and 5√3. Then the correct option is D.
The complete question is attached below.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right triangle is shown.
Then the value of x will be
x = 10√3 × sin 60°
x = 15
Then the value of y will be
y = 10√3 × cos 60°
y = 5√3
Then the correct option is D.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ1
A cause-and-effect relationship between two variables can best be determined from which of the following? When the two variables have a correlation. An observational study where the observational units are chosen randomly. A survey conducted using a simple random sample of individuals. A survey conducted using a stratified random sample of individuals. A controlled experiment where the observational units are assigned randomly to treatments.
Answers
The answer is A cause- and- effect relationship between two variables can best be determined When the two variables are identified.
Because the cause and effect relationship is chancing when the variables are identified or there exists a direct relationship between the variable. i.e. when the variables are identified or have a retrogression between the variables.The use of a controlled study is the most effective way of establishing reason between variables. In a controlled study, the sample or population is resolve in two, with both groups being similar in nearly every way.
There are three criteria that must be met to establish a cause- effect relationship. The cause must do before the effect. Whenever the cause occurs, the effect must also do. There mustn't be another factor that can explain the relationship between the cause and effect.
Learn more about cause-and-effect relationship here :
https://brainly.com/question/29295727
#SPJ4
Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning
Answers
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:
Step 1: Calculate the monthly interest rate.
The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):
Monthly interest rate = 9.5% / 12 = 0.0079167
Step 2: Determine the monthly payment.
The monthly payment is given as $400.
Step 3: Calculate the interest and principal paid each month.
The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.
Principal paid = Monthly payment - Interest paid
Step 4: Track the remaining balance each month.
Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.
Step 5: Repeat Steps 3 and 4 until the balance reaches zero.
Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.
Step 6: Determine the total number of months and the total amount paid.
Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.
Let's calculate the number of months and the total amount paid, including interest:
Month 1:
Interest paid = 0.0079167 * $1,367.90 = $10.84
Principal paid = $400 - $10.84 = $389.16
New balance = $1,367.90 - $389.16 = $978.74
Month 2:
Interest paid = 0.0079167 * $978.74 = $7.75
Principal paid = $400 - $7.75 = $392.25
New balance = $978.74 - $392.25 = $586.49
Month 3:
Interest paid = 0.0079167 * $586.49 = $4.64
Principal paid = $400 - $4.64 = $395.36
New balance = $586.49 - $395.36 = $191.13
Month 4:
Interest paid = 0.0079167 * $191.13 = $1.51
Principal paid = $400 - $1.51 = $398.49
New balance = $191.13 - $398.49 = -$207.36 (Paid off)
It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:
Total amount paid = 4 * $400 = $1600
Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
For such more questions on Credit Card Payoff
https://brainly.com/question/26867415
#SPJ8
Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
Answers
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
More can be learned about the normal distribution at https://brainly.com/question/25800303
#SPJ1
In simplest form 1 3/10 x 18=
Answers
207/5 is the simplest form of \(1\frac{3}{10}\) ×18
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the simplest form of \(1\frac{3}{10}\) ×18
Convert the mixed fraction to improper fraction and simplify.
\(1\frac{3}{10}\)=23/10
Now multiply Twenty three divided by ten with eighteen.
23/10×18
Multiply 23 and 18
23×18=414
Now divide 414 by 10
414/10
Both numerator and denominator can be divided by 2 so
207/5
Hence 207/5 is the simplest form of \(1\frac{3}{10}\) ×18
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
IS THIS RIGHT? (28 points easy!!)
Answers
Step-by-step explanation:
yes, the step is correct.
a² = cx | multiply by c
ca² = c²x
I am just not sure how that simplified the equation.
what do you want to achieve ? what's the goal here ?
to solve the equation for x it would be to divide both sides by c, which gives
a²/c = x
Please help me out here.
Answers
Answer:
19.634954085
Step-by-step explanation:
Pipe Diameter = Height of the trench
Pipe Height = Width of the trench
V = Pi*r^2*L/ Pi*r^2*h
= 22/7 x (2.5/2)^2 x 4
= 19.634954085
What is the measure of the missing angle?
Answers
Answer:
115°
Step-by-step explanation:
Knowing that the sum of all interior angles of any triangle is 180 degrees, we can find the measurement of the missing angle of the triangle. The calculation is 180 - 75 - 40 = 65. Then, notice that the blue angle and the missing angle are supplementary (linear; add up to 180 degrees). So we can find the blue angle's measurement by 180 - 65, so the answer is 115 degrees.
Samira reads 50 pages in 40 minutes. She reads at a constant rate. How many
pages does she read per minute? *
Your answer
This is a required question
Answers
9514 1404 393
Answer:
1.25 pages per minute
Step-by-step explanation:
To find pages per minute, divide pages by minutes:
(50 pages)/(40 minutes) = (50/40) pages/minute
= 1.25 pages/minute
First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 240 pilots, how many aircrafts does First Class Airlines own?
aircrafts.
Answers
Answer:
90 Aircrafts.
Step-by-step explanation:
240/40 = 6, 6 • 15 = 90. The answer would be 90 aircrafts.
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answers
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
a cube has a volume of 60cm^3 estimate the length of one edge
Answers
Answer:
3.9 cm =s
Step-by-step explanation:
The volume of a cube is
V = s^3 where s is the side length
60 = s^3
Take the cube root of each side
60 ^ 1/3 = s^3 ^ 1/3
3.914867641 = s
3.9 cm =s
Answer:
3.91cm
Step-by-step explanation:
when we calculate the area of a cube is
\(x^{3}\)
because the Volume (V)=Area*Height
and the Area (A) =\(x^{2}\)
and the Height = \(x\)
so
\(V=x^{2} *x\\\\V=x^{3}\)
and we know that
V=60
\(60=x^3\\x=\sqrt[3]{60} \\\\x=3.9148676411688635954249360604116714249316822143474229176559381605....\\\\\)
so we can say that
x=3.91cm
Which object is located at the point (4.3)
A. Star
B. Circle
C. Triangle
D. Rectangle
Which one is it help me pls
Answers
epic moment
8 subtracted by 1/3 + 2/3 equals?
Answers
Answer:
8-1/3=7 2/3+2/3=8 1/3
Step-by-step explanation:
The weight of eggs from a local farm are Normally distributed with mean of 2.1 ounces and a standard deviation of 0.25 ounces.
A graph titled Weight of Eggs has ounces on the x-axis going from 1.35 to 2.85 in increments of 0.25. The highest point of the curve is at 2.1. Everything to the left of that point and under the curve is labeled average, everything to the right is large.
An egg that weighs 2.0 ounces or more is labeled large and anything below is labeled average.
What percent of eggs from this farm are labeled as large? Round to the nearest tenth.
⇒ 65.5 IS THE ANSWER
Answers
Answer:
65.5
Step-by-step explanation:
Answer:
65.5
Step-by-step explanation:
Amplitude is ______.
the maximum displacement of a function on a graph
the minimum displacement of a function on a graph
Answers
Amplitude is the maximum displacement of a function on a graph.
What is amplitude?
Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.
It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.
But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.
Learn more about amplitude on:
https://brainly.com/question/25699025
#SPJ1
If the total revenue function for a blender is R(x) = 56x − 0.01x2 where x is the number of units sold, what is the average rate of change in revenue R(x) as x increases from 11 to 22 units? $ per unit g
Answers
The revenue function is the sum of the profit and cost functions
The average rate of the revenue is 55.67
How to determine the average rate of changeThe revenue function is given as:
\(R(x) = 56x - 0.01x^2\)
The interval is given as:
(a,b) =(11,22)
The average rate of change over the interval (a,b) is calculated as:
\(R'(x) =\frac{R(b) - R(a)}{b -a}\)
This gives
\(R'(x) =\frac{R(22) - R(11)}{22 -11}\)
\(R'(x) =\frac{R(22) - R(11)}{11}\)
Calculate R(22) and R(11)
\(R(22) = 56*22 - 0.01*22^2\)
\(R(22) = 1227.16\)
\(R(11) = 56*11 - 0.01*11^2\)
\(R(11) = 614.79\)
So, we have:
\(R'(x) =\frac{R(22) - R(11)}{11}\)
\(R'(x) =\frac{1227.16 - 614.79}{11}\)
\(R'(x) =\frac{612.37}{11}\)
Evaluate the quotient
\(R'(x) =55.67\)
Hence, the average rate of the revenue is 55.67
Read more about average rate of change at:
https://brainly.com/question/8728504
Expand and combine like terms.
(2x3 + 4x5)2 =
Answers
Answer:
52
Step-by-step explanation:
(2x3 = 6
4x5 = 20)
(6+20) = (26)
(26)2 = 52
=52
Pls help me I need it now pls
Answers
Can you help me? tysm
A sales person makes a base salary of $200 per week plus 11% commission on sales.
(a) Write a linear function to model the sales person's weekly salary S(x) for x dollars in sales.
(b) Evaluate S(9000) and interpret the meaning in the context of this problem.
Answers
Answers in bold
a. 0.11x+200b. S(9000) = 1190; interpretation = Making $9000 in sales means the salesperson earns a weekly salary of $1190=========================================================
Work shown for part (a)
x = amount in sales, in dollars
Example: if x = 200 then the amount of sales was $200
0.11x = commission amount
0.11x+200 = total weekly salary
S(x) = 0.11x+200 is the salary function.
------------------------------------
Work shown for part (b)
S(x) = 0.11x+200
S(9000) = 0.11*9000+200
S(9000) = 990+200
S(9000) = 1190
The input x = 9000 leads to the output S(x) = 1190
Interpretation: $9000 in sales means the salesperson earns a weekly salary of $1190
In the space provided below,
1. Write each sentence in a conditional form.
a) 18-year- olds may vote in federal elections.
b) Oppozite angles of a paralelogram are congruent.
2. Write the convers, inverse, and contrapositive of each statement. Determine the truth of each
of the new statements.
a) If each side of a triangle has a length of 10, then the triangle’s perimeter is 30.
b) If an angle is acute, then it has a measure greater than 0 and less than 90.
Answers
The converses, inverses, and contrapositives of the given statements have different truth values. In statement (a), the converse and inverse are both false, while the contrapositive is true. In statement (b), all three statements are true.
Conditional Form:
a) If someone is 18 years old, then they may vote in federal elections.
b) If a quadrilateral has opposite angles congruent, then it is a parallelogram.
Converses, Inverses, and Contrapositives:
a) Statement: If each side of a triangle has a length of 10, then the triangle's perimeter is 30.
Converse: If the triangle's perimeter is 30, then each side of the triangle has a length of 10.
Inverse: If the triangle's perimeter is not 30, then each side of the triangle does not have a length of 10.
Contrapositive: If each side of the triangle does not have a length of 10, then the triangle's perimeter is not 30.
Truth of the new statements:
The converse is false.
The inverse is false.
The contrapositive is true.
b) Statement: If an angle is acute, then it has a measure greater than 0 and less than 90.
Converse: If an angle has a measure greater than 0 and less than 90, then it is acute.
Inverse: If an angle is not acute, then it does not have a measure greater than 0 and less than 90.
Contrapositive: If an angle does not have a measure greater than 0 and less than 90, then it is not acute.
Truth of the new statements:
The converse is true.
The inverse is true.
The contrapositive is true.
For more such question on converses visit;
https://brainly.com/question/30045217
#SPJ8
order these numbers from least to the greatest, 47/10,4.606,4+13/20,4.64
Answers
Answer:
From lowest to highest, the numbers would follow the following order:
1) 4.606, 2) 4.64, 3) 4 + 13/20, 4) 47/10.
Step-by-step explanation:
Given that the numbers 47/10, 4.606, 4 + 13/20 and 4.64 are presented, to order these from lowest to highest, the following calculations must be performed:
47/10 = 4.70
4,606
4 + 13/20 = 4 + 0.65 = 4.65
4.64
Therefore, from lowest to highest, the numbers would follow the following order:
1) 4.606, 2) 4.64, 3) 4 + 13/20, 4) 47/10.
Use the Distributive Property to correctly rewrite or simplify the expression:
21k+13k+9k
Answers
Answer:
21k+9k+13, and simplified into 43k.
Step-by-step explanation:
The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)
21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.
Answer:
43k
Step-by-step explanation: