The perimeter of the regular pentagon Ezra is finding is 10m inches
How to find the perimeter of a regular pentagon with a side length of 2 inchesPerimeter refers to the total outside length of an object,
The equation given in the problem is
y = 5x
where
the side length of the regular pentagon in inches, x,
the perimeter of the regular pentagon in inches, y
if the side length is 5, we plug in 2 into the equation above
y = 5x
y = 5 * 2
y = 10 inches
Learn more about perimeter here:
https://brainly.com/question/397857
#SPJ1
What is your favorite song and why? Does it mean something to you or do you just enjoy the sound of it/the lyrics? Enjoy the points :)
Answer:
Step-by-step explanation:
my favorite song is Sia's unstoppable song. I think it conveys a lot of energy and always while I listen to it I get points and am inspired to do better.
The initial value of your new car was $20,000. After one year, the value of the car is $18,000.What will the approximate value of the car be in 7 years?$8,000.00O $8,565.94$9,000.00$9,565.94
Answer:
The approximate value of the car after 7 years is;
[tex]\text{ \$9,565.94}[/tex]Explanation:
Given that the initial value of the car is;
[tex]P=\text{ \$20,000}[/tex]after 1 year its new value is;
[tex]\text{ \$18,000}[/tex]The rate of depreciation is;
[tex]r=\frac{18000}{20000}=0.9\text{ per year}[/tex]After 7 years the value of the car can be calculated using the formula;
[tex]F=P(r)^t[/tex]where t equals 7 years.
substituting the values;
[tex]\begin{gathered} F=20000(0.9)^7 \\ F=\text{ \$9,565.94} \end{gathered}[/tex]Therefore, the approximate value of the car after 7 years is;
[tex]\text{ \$9,565.94}[/tex]Can I get help with question 1? a,b,c and d? I couldn’t take a picture of question “d”but it says “construct a frequency histogram”
The frequency histogram for the given data is attached below and the mean of the distribution is approximately 52.94°
The given frequency distribution table is given .
Using the data from the table we have to find the mean
We know that :
Mean = sum of all data/ total frequency.
From the table we see that
Mean = 52 + 7 × 5 /37 = 52.94
Standard deviation:
The formula for calculating this is given by:
[tex]{\displaystyle s_{N}={\sqrt {{\frac {1}{N}}\sum _{i=1}^{N}\left(x_{i}-{\bar {x}}\right)^{2}}}.}[/tex]
substituting the values we get :
sd = √(73.67/37)×5
sd = 7.0056
sd ≈ 7.01
When that is not possible, the standard deviation is determined by analysing a sample of the population that is representative of the entire population and creating a statistic that is used to estimate the standard deviation of the population as a whole.
This type of statistic is called an estimator, and the estimator itself is known as a sample standard deviation .
Hence the mean of the grouped data is 52.94 and the standard deviation is 7.01 .
To learn more about histogram visit:
https://brainly.com/question/14421716
#SPJ9
please help, thank you!by the way this is a two-step equation with decimals
Given data:
The given equaion is -0.9p+3.2= -1.7p.
The given equation can be written as,
[tex]\begin{gathered} -\text{0}.9p+3.2=-1.7p \\ 1.7p-0.9p=-3.2 \\ 0.8p=-3.2 \\ p=-4 \end{gathered}[/tex]Thus, the value of p is -4.
Which of the following is not a solution for x < 8?x = 9x = 4.3x = 7.95x = -3
The expression is given as x < 8.
ExplanationThe expression x less than 8 has values
4.3 , 7.95 , -3.
AnswerHence x=9 is not a solution for x < 8.
Charlotte spent $26 at the hair salon. She wants to leave a 12% tip. About how much money should she leave?
We will have the following:
[tex]t=26+(0.12)(26)\Rightarrow t=29.12[/tex]So, she shoulld leave $29.12 in total.
What is the range of the function f(x) = |x| + 5? R: {f(x) ∈ ℝ | f(x) < 5} R: {f(x) ∈ ℝ | f(x) ≥ 5} R: {f(x) ∈ ℝ | f(x) > 5} R: {f(x) ∈ ℝ | f(x) ≤ 5}
Given:
[tex]f(x)=|x|+5[/tex]Find-: Range of a function.
Sol:
For |x| is always positive because |x| function is:
[tex]|x|=\begin{cases}-x\text{ at x<0} \\ x\text{ at x>0}\end{cases}[/tex]So the range is:
[tex]\lbrace f(x)\in\Re|f(x)\ge5\rbrace[/tex]Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1024 and x=584 who said "yes"
If a research institute poll asked respondents if they felt vulnerable to identity theft:
The best point estimate of the population proportion p is 0.57.The value of the margin of error E is 0.030The confidence interval 0.54; 0.6The statement that correctly interprets the confidence interval is: Option A.How to find the population proportion p?a) Population proportion p
Using this formula to find the population proportion p.
p = (x/n)
Let plug in the formula
p = 584/1024
p= 0.57
b) Margin of error
Value of z-score for a confidence level of 95%= 1.96
Using this formula to margin of error
MOE =( z alpha x √(p) (1-p) / n )
Let plug in the formula
MOE =( 1.96 x √(.57)(1-.57) / 1024)
MOE =( 1.96 x √(.57)(.43) / 1024)
MOE =( 1.96 x √0.000239
MOE =( 1.96 x 0.015459)
MOE = 0.030
c) Confidence interval
Confidence interval =0.57 ± 0.030
Confidence interval = (0.57 -0.030) , (0.57 +0.030)
Confidence interval = 0.54; 0.6
Confidence interval = 0.54 <p< 0.6
d) The statement that correctly interprets the confidence interval is:
a) One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
Therefore the Population proportion p is 0.57, MOE is 0.030 and CI is 0.54; 0.6.
Learn more about population proportion p here:https://brainly.com/question/18514274
#SPJ1
The complete question is:
Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1024 and x=584 who said "yes" Use a 95% confidence level.
a) Find the best point estimate of the population proportion p.
b) Identify the value of the margin of error E.
c) Construct the confidence interval.
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer bellow
a) One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
b) 95% of sample proportions will fall between the lower bound and the upper bound.
c) there is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
d) One has 95% confidence that the sample proportion is equal to the population proportion
Hello I don't know if you can help me with this
we have that
In this problem we have an arithmetic sequence
the general equation is equal to
an=a1+D(n-1)
where
a1 is the first term
D is the common difference
n is the number of terms
so
a1=7
D is the difference between consecutive terms
D=11-7=4
an=7+4(n-1)
change the variables
d=7+4(n-1)
d=7+4n-4
d=4n+3
For n=30
d=4(30)+3
d=123Solve: XC - XV. Show your answer as a Roman Numeral. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V X Х L с D M A) V B) VI C) VIL
To make this substraction, it is better to first convert into standard numbers then make the substraction.
In Romans,
which question is the odd one out
III + MMM = 3003
L - XXIX = XXI
45 x 2 = 90.00000000000000000000000000000000000000000000000000001
Here the odd one out is 45×2=90.00000000000000000000000000000000000000000000000000001.
What is roman numerals?These are the symbols used in the system of numerical notation. We can convert a natural number to a Roman numeral by modifying the placement of seven symbols. The symbol I stands for 1, V stands for 5, X stands for 10, L stands for 50, C stands for 100, and M stands for 1000. In this system, the numbers are represented by combinations of letters from the Latin alphabet. In roman numerals, alphabets are used to represent fixed positive numbers. There are mainly used by Romans. These are the symbols that are representing the numbers that do not follow the base 10 in the number system.
The numbers III + MMM = 3003 and L - XXIX = XXI are roman numerals but the number 45 × 2 = 90.00000000000000000000000000000000000000000000000000001 is a rational number.
So, the number 45 × 2 is the odd one out.
To know more about Roman numerals, visit:
https://brainly.com/question/23283307
#SPJ1
A water sample shows 0.036 grams of some trace element for every cubic centimeter of water. Hudson uses a container in the shape of a right cylinder with a radius of 7.3 cm and a height of 12.2 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Hudson collected? Round your answer to the nearest tenth.
We have a water that has a concentration of 0.036 grams per cm³ of some trace element.
We have to find how much of this trace element will be in the container with the sample of water.
This amount will be equal to the volume of the container times the concentration of the trace element.
We start by calculating the volume.
The container is a cylinder. Its volume will be the base area times the height.
We can calculate it as:
[tex]\begin{gathered} V=A_bh \\ V=(\pi r^2)h \\ V=\pi(7.3)^2(12.2) \\ V=\pi(53.29)(12.2) \\ V\approx2042.4688\text{ }cm^3 \end{gathered}[/tex]We can multiply this volume by the concentration as:
[tex]\begin{gathered} m=C\cdot V \\ m=0.036\text{ }\frac{g}{cm^3}\cdot2042.4688\text{ }cm^3 \\ \\ m\approx73.5\text{ }g \end{gathered}[/tex]Answer: 73.5 grams.
Hello I'M Having trouble with this problem
Percent decrease in average number of visit is 50%.
Define average.The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average. Because it offers a single, typical value to represent an entire data collection, the mean is useful. It is one of many approaches to identify central tendency and represents the arithmetic average.
Given,
Average in first week = 48000
Average in second week = 24000
Average decrease = 48000 - 24000
Average decrease = 24,000
Percent decrease in average number of visit:
24000/48000 × 100
1/2 × 100
50%
Percent decrease in average number of visit is 50%.
To learn more about average, visit:
https://brainly.com/question/27646993
#SPJ1
Draw the triangle and find the missing side then find the indicated trigonometric value. How do i solve this problem?
Therefore
Given the surface area of a sphere is 324ππ sq km, what is the radius of the sphere?
The surface area S of sphere is given by
[tex]S=4\pi r^2[/tex]In our case
[tex]S=324\pi[/tex]Then, we have
[tex]324\pi=4\pi r^2[/tex]By moving 4Pi to the left hand side, we have
[tex]\frac{324\pi}{4\pi}=r^2[/tex]We can cancel Pi out in numerator and denominator, then ,we get
[tex]\begin{gathered} \frac{324}{4}=r^2 \\ 81=r^2 \\ \text{therefore} \\ r=\sqrt[]{81} \end{gathered}[/tex]and the answer is r= 9 kilometers, that is, the radius is 9 km
Multiply (x + x2 + x + 1) (3x2 + 3x-3) (x3 + x2 + x + 1) (3x2 + 3x - 3) = 3x5 6x4 + 3x + 3x2 - 3 (Simplify your answer.)
Problem:
Multiply (x + x2 + x + 1) (3x2 + 3x-3) (x3 + x2 + x + 1) (3x2 + 3x - 3)
Solution:
[tex](x+x^2+x+1)(3x^2+3x-3)(x^3+x^2+x+1)(3x^2+3x-3)[/tex]this is equivalent to:
[tex](2x+x^2+1)(3x^2+3x-3)(x^3+x^2+x+1)(3x^2+3x-3)[/tex]this is equivalent to:
[tex](2x+x^2+1)(x^3+x^2+x+1)(3x^2+3x-3)^2[/tex]this is equivalent to:
[tex]9x^9+45x^8+\text{ 81}x^7+63x^6+18x^5-18x^4-45x^3-27x^2+9x+9[/tex]Then, the correct answer is:
[tex]9x^9+45x^8+\text{ 81}x^7+63x^6+18x^5-18x^4-45x^3-27x^2+9x+9[/tex]Solve this inequalityPlease be quick I only have one hour to finish and I still have a bunch of more questions
Answer:
x >= -7
Explanation:
Given the below inequality;
[tex]5x\ge-35[/tex]To solve for x, all we have to do is divide both sides of the inequality by 5;
[tex]\begin{gathered} \frac{5x}{5}\ge-\frac{35}{5} \\ \therefore x\ge-7 \end{gathered}[/tex]So x >= -7
You're having a breakfast party for 483 of your closet friends and 271 like chocolate donuts. In a dozen donuts, the probability of getting a chocolate donut is 1/5. How many dozen donuts would you have to buy to ensure that all 271 people get a chocolate donut?
In a dozen donuts the probability of getting a chocolate donut is 1/5, meaning 1/5 of the 12 donuts are chocolate donuts.
Step 1.- Calculate how much 1/5 out of 12 is:
[tex]\frac{1}{5}(12)=\frac{12}{5}=2.4[/tex]In each dozen we would get 2.4 chocolate donuts
Step 2.- Calculate how many dozen are needed to get 271 chocolate donuts.
We divide 271 by 2.4 to get the answer:
[tex]\frac{271}{2.4}=112.92[/tex]Step 3: We round the answer to the nearest integer value, and we need 113 dozens of donuts to ensure that all 271 people get a chocolate donut.
Answer: 113
Carey creates the table to him determine 75% of 36
The table made is correct, so we conclude that 3/4 is equivalent of 75%. However, we must apply this percentage, or fraction, to the whole number we want to take the percentage of, that is, 36.
The number 27 is the actuall result of taking this percentage.
So, the correct expression would be:
[tex](\frac{3}{4})(36)[/tex]Thus, we need to change the 27 to 36, first alternative.
Explain two ways to evaluate 32(13+18)
The given expression is
[tex]32(13+18)[/tex]To evaluate this expression, first, we use the distributive property
[tex]32(13+18)=32\cdot13+32\cdot18=416+576=992[/tex]Therefore, the answer is 992.Given f of x is equal to the quantity x plus 6 end quantity divided by the quantity x squared minus 9x plus 18 end quantity, which of the following is true?
f(x) is decreasing for all x < 6
f(x) is increasing for all x > 6
f(x) is decreasing for all x < 3
f(x) is increasing for all x < 3
Answer: f(x) is increasing for all x < 3
D
Step-by-step explanation: I got the answer right on FLVS
Trust me I got 100%
Which of the following sets of numbers could be the lengths of thesides of a triangle?11, 1,41, 14, 2016, 9, 1511, 8, 19
as you may know the hypotenuse is the longest side in a triangle. So using pythagoras theorem:
c = √(a² + b²)
Where:
c = Hypotenuse
a = adjacent side
b = opposite side
11, 1,4 Since 11 is the greater number
c = 11
the others will be a and b, the order does not matter
a=1
b=4
11 = √(1² + 4²
When finding the composition of f (g (x) )substitute f (x) for the x in g (x)multiply f (x) by g (x)substitute g (x) for the x in f (x)
Okay, here we have this:
Considering that the composition of function is formed by taking the outputs of one function and converting them into the inputs of another function. We obtain that, f(g(x)), consists of taking the result obtained by evaluating g (x) and replacing it by x in f (x). Then the correct answer is the third option.
If a woman making $36,000 a year receives a cost-of-living increase of 2.1%, what will her new salary be?
Answer:
Her new salary is $36756
Explanation:
We need to know how much 2.1% of 36000 is, so:
[tex]\begin{gathered} \frac{x}{2.1}=\frac{36000}{100} \\ x=\frac{36000\cdot2.1}{100} \\ x=756 \end{gathered}[/tex]That corresponds to the cost of living increase.
Find the slope of the tangent to thefunction f(x) = 2x4 + 6x² +4 at x = -1
-20
Explanations:Given the function f(x) = 2x^4 + 6x^2 + 4 at x = 1, the slope of the tangent of the function is expressed as:
[tex]f^{\prime}(x)=8x^3+12x[/tex]Substitute the value of x = -1 into the fucntion
[tex]\begin{gathered} f^{\prime}(-1)=8(-1)^3+12(-1) \\ f^{\prime}(-1)=8(-1)-12 \\ f^{\prime}(-1)=-8-12 \\ f^{\prime}(-1)=-20 \end{gathered}[/tex]Hence the slope of the tangent to the function at x = -1 is -20
Try AgainAt the city museum, child admission is $6.00 and adult admission is $9.20. On Monday, twice as many adult tickets as childtickets were sold, for a total sales of $780.80. How many child tickets were sold that day?
32 child tickets were sold on that day
Explanation:Given:
The cost per child = $6.00
let the number of child tickets = c
The cost per adult ticket = $9.20
let the number of adult tickets = a
To find:
the number of child tickets sold
On Monday:
Adult tickets = 2(children tickets)
a = 2c
Total sales on Monday = $780.80
Total sales = The cost per child (number of child tickets) + The cost per adult (number of adults tickets)
780.80 = 6(c) + 9.2(a)
substitute for a:
780.8 = 6c + 9.2(2c)
780.8 = 6c + 18.4c
780.8 = 24.4c
divide both sides by 24.4:
[tex]\begin{gathered} \frac{780.8}{24.4}\text{ = }\frac{24.4c}{24.4} \\ \\ c\text{ = 32} \end{gathered}[/tex]Hence, 32 child tickets were sold on that day
A catering service offers 3 appetizers, 7 main courses, and 4 desserts. A customer is to select 2 appetizers, 3 main courses,and 3 desserts for a banquet. In how many ways can this be done?
General category: Mathematics
Sub-category: Probability
Topic: counting techniques
Introduction:
The combination formula C(n,r) shows us the number of ways of picking r unordered outcomes from n possibilities. For n ≥ r ≥ 0, C(n,r) is given by the following formula:
[tex]C(n,r)=\frac{n!}{r!(n\text{ -r})!}[/tex]Explanation:We can use combinations and fundamental counting principles to answer this question.
Let us denote by "a", the number of selection of appetizers. This number can be calculated as follows:
[tex]C(3,2)=\frac{3!}{2!(3\text{ -2})!}=3[/tex]Now, let us denote by "b", the number of selection of main courses. This number can be calculated as follows:
[tex]C(7,3)=\frac{7!}{3!(7\text{ -3})!}=35[/tex]Finally, let us denote by "c", the number of selection of desserts. This number can be calculated as follows:
[tex]C(4,3)=\frac{4!}{3!(4\text{ -3})!}=4[/tex]Now, applying the multiplication principle we get the desired number:
[tex]C(3,2)\cdot C(7,3)\cdot C(4,3)=3\cdot35\cdot4\text{ = 420}[/tex]We can conclude that the correct answer is:
Lyle is a car salesman and is planning to work 5 days this week. His goal is to sell 3 cars per day. How many carsdoes Lyle hope to sell by the end of the week?cars
Firstly, there are 7 days in a week but from the information given, Lyle is planning to work for only 5 days in the week. Since his goal is to sell 3 cars per day, then the total number of cars that he would sell by the end of the week would be
5 * 3 = 15
Lyle would hope to sell 15 cars by the end of the week
Liam placed 24 patio pavers as shown below.
A rectangular array shows four patio pavers wide by six patio pavers long. The total length of the side of the rectangle that has four patio pavers is sixty-three and two-tenths inches.
What is the length of a single patio paver?
A.
18.2 in.
B.
15.8 in.
C.
10.53 in.
D.
2.63 in.
4 patio pavers = 63.2 inches
1 patio pavers = 15.8 inches.
The length of one patio paver is 15.8 inches.
What is a rectangle?
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
The total length of the side of the rectangle that has four patio pavers is sixty-three and two-tenths inches.
This means,
Length of the side with 4 patio pavers.
= 63(2/10) inches
= 632/10
= 63.2 inches
Now,
The length of one patio paver.
4 patio pavers = 63.2 inches
Divide both sides by 4.
1 patio pavers = 63.2/4
1 patio pavers = 15.8 inches.
Thus,
The length of one patio paver is 15.8 inches.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ1
find the slope of the line through each pair of points (3,0) , (-11, -15)
Given:
points (3,0) , (-11, -15)
Required:
Slope
Solution:
[tex]\text{slope}=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\text{slope}=\frac{-15-0}{-11-3_{}}=\frac{-15}{-14}=\frac{15}{14}[/tex]Answer:
[tex]\text{slope}=\frac{15}{14}[/tex]