Answers
Answer:
The ratio of the larger octagon to the smaller octagon is 4:1Solution:
Let's put them into ratio form from largest ⇒ smallest.
Largest:Smallest = (Perimeter of larger octagon):(Perimeter of smaller octagon)=> Perimeter of larger Octagon = 4 x 8 = 32 units=> Perimeter of smaller Octagon = 1 x 8 = 8 units=> (Perimeter of larger octagon):(Perimeter of smaller octagon) = 32:8=> 32/8 = 4/1 = 4:1Hence, the ratio of the larger octagon to the smaller octagon is 4:1
Related Questions
III. Fill in the gaps with the correct form of the verbs in brackets.
(go) early
1. If you
(not/want) to stay in the party, we
2. You
(pass) your exams if you
(study) really hard.
Answers
Answer:
give us a more zoomed out picture
Step-by-step explanation:
A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 25 dieters, are chosen for the study.
Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day.
Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 12.7 pounds with a standard deviation of 2.2 pounds. The members of Group B had lost a mean of 10.8 pounds with a standard deviation 2.0 pounds during the same time period. Assume that the population variances are not the same.
Create and interpret a 95% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not.
Answers
Answer:
(0.7044 ; 3.0956)
Step-by-step explanation:
Given:
GROUP A:
n1 = 25
x1 = 12.7
s1 = 2.2
GROUP B :
n2 = 25
x2 = 10.8
s2= 2.0
The obtain the confidence interval assuming unequal population variance :
(x1 - x2) ± tα/2[√(s1²/n1 + s2²/n2)]
The degree of freedom :
df = (s1²/n1 + s2²/n2)² ÷ (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1
The degree of freedom :
(2.2²/25 + 2²/25)² ÷ (2.2²/25)²/24 + (2²/25)²/24
df = 0.12503296 ÷ (0.0015617 + 0.0010666)
df = 47.57 ;
df = 48
Tcritical value ; α = 95% ; df = 48
Tcritical = 2.0106
C.I = (12.7 - 10.8) ± 2.0106[√(2.2²/25 + 2²/25)]
C.I = 1.9 ± (2.0106 * 0.5946427)
C.I = 1.9 ± 1.1955887
C. I = (0.7044 ; 3.0956)
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answers
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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The perimeter of a triangle is 17x-5 units. One side is 3.x + 5 units and another is 8x-3 units. How many units long is the third side?
Answers
Answer:
C = 6x - 7 units
Step-by-step explanation:
Let the three sides of the triangle = A, B, and C respectively.
Given the following data;
Perimeter of triangle, P = 17x-5 units
Side A = 3x+5 units
Side B = 8x-3 units
To find side C?
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = A + B + C
Making "C" the subject of formula, we have;
C = P - A - B
Substituting into the equation, we have
C = 17x - 5 - (3x + 5) - (8x - 3)
C = 17x - 5 - 3x - 5 - 8x + 3
Collecting the like terms, we have;
C = 17x - 3x - 8x - 5 - 5 + 3
C = 6x - 7 units
Therefore, the third side is 6x - 7 units long.
PLEASE HELP!! a bag contains 10 marbles. four of them are red, three blue, two white, and one yellow. A mare ke drawn at random. What is the probability that it is blue?
Answers
Answer:
The probability that one marble drawn at random is not blue is 70%
What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest
Answers
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $1,800
Number of periods (t)= 6 months
Monthly interest rate (r)= 0.144/12= 0.012
To calculate the interest to be paid and the total amount due, we need to use the following formula:
I= P*r*t
I= 1,800*6*0.012
I= $129.6
Total amount= $1,929.6
A student's course grade is based on one midterm that counts as 10% of his final grade, one class project that counts as 5% of his final grade, a set of homework assignments that counts as 45% of his final grade, and a final exam that counts as 40% of his final grade. His midterm score is 60, his project score is 80, his homework score is 75, and his final exam score is 78. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.
Answers
Answer:
His overall final score is a 73, which means that that student recieved a letter grade of a C.
Step-by-step explanation:
First, we are finding the mean of the scores to average everything out.
So, start by adding up all the scores given: 60+80+75+78=293.
Then, divide that sum by the number of scores given: 293/5=73.25, or rounded to a whole number is a 73.
In most schools, a 73 is a C, so this students letter grade for this course is a C.
PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answers
Answer:
1244 DCD
Step-by-step explanation:
There are six professors teaching the introductory discrete mathematics class at a university. The same final exam is given by all six professors. If the lowest possible score on the final is 0 and the highest possible score is 100, how many students must there be to guarantee that there are two students with the same professor who earned the same final examination score
Answers
Answer:
607 students
Step-by-step explanation:
To solve this question means we have to use Pigenhole principle which states that if y number of items are put into z number of containers, with y > z, then it means that that at least one container must definitely contain more than one item.
Now, let's find the number of boxes and objects:
If possible scores are from 0 to 100 with both inclusive it means number of possible scores = 101.
Now, If there was only one professor grading the students, in order to ensure that that there are two students with the same professor who earned the same final examination score,
The number of students would have to be = 101 + 1 = 102 students
Meanwhile, for each student, since there are 6 professors, the possible combination for a score will be = 6 possible combinations.
Therefore, number of students that will guarantee that there are two students with the same professor who earned the same final examination score must be a minimum of: (6 × 101) + 1 = 607
find the derivative of cos 2x
Answers
Answer:
2sin2xStep-by-step explanation:
let u= 2xdu/dx =2 y=cos2xy=cosudy/du =sinudy/dx =dy/du × du/dxdy/dx = sinu × 2dy/dx =2sinubut, u=2xhence dy/dx = 2sin2x
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Answers
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
What fraction is equal to 2 1/2?
25
32
22
52
Answers
will mark as brainlist
Answers
Answer:
i thought it would be 80 and 90, but 9 IS the root. So i strongly believe its 2 and 3
Step-by-step explanation:
The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?
A graph has number of animals on the x-axis and food (pounds) on the y-axis. Points are at (0, 1), (2, 2), (4, 3), (6, 4), (8, 5), and (10, 6).
A graph has number of animals on the x-axis and food (pounds) on the y-axis. Points are at (0, 0), (3, 1), (6, 2), (9, 3).
A graph has number of animals on the x-axis and food (pounds) on the y-axis. Points are at (0, 3), (3, 2), (6, 1), and (9, 0).
Answers
Answer:
It is graph B or the second graph!
Step-by-step explanation:
Answer:
Its graph B.
Step-by-step explanation:
I just got it right on Edge.
Twelve jurors are randomly selected from a population of 3 million residents. Of these 3 million residents, it is known that 47% are of a minority race. Of the 12 jurors selected, 2 are minorities.
(a) What proportion of the jury described is from a minority race?
(b) If 12 jurors are randomly selected from a population where 47% are minorities, what is the probability that 2 or fewer jurors will be minorities?
(c) What might the lawyer of a defendant from this minority race argue?
(a) The proportion of the jury described that is from a minority race is
(Round to two decimal places as needed.)
(b) The probability that 2 or fewer out of 12 jurors are minorities, assuming that the proportion of the population that are minorities is 47%, is
(Round to four decimal places as needed.)
(c) Choose the correct answer below.
OA. The number of minorities on the jury is unusually low, given the composition of the population from which it came.
B. The number of minorities on the jury is reasonable, given the composition of the population from which it came.
OC. The number of minorities on the jury is unusually high, given the composition of the population from which it came.
OD. The number of minorities on the jury is impossible, given the composition of the population from which it came.
Next
Answers
Step-by-step explanation:
(a) Proportion of minority jurors = 2/12 = 1/6 = 0.1667
(b) Using binomial distribution, P(2 or fewer minorities) = P(0 minorities) + P(1 minority) + P(2 minorities)
P(0 minorities) = (0.53)^12 ≈ 0.005
P(1 minority) = 12C1 (0.47)(0.53)^11 ≈ 0.048
P(2 minorities) = 12C2 (0.47)^2(0.53)^10 ≈ 0.18
P(2 or fewer minorities) ≈ 0.005 + 0.048 + 0.18 ≈ 0.2339
(c) OA. The number of minorities on the jury is unusually low, given the composition of the population from which it came.
Which number line shows 2/3r - 5 > 3
Answers
Answer:
The third answer is correct
Step-by-step explanation:
Solve the inequality by compensating it like an equation.
Answer:
3rd line
Step-by-step explanation:
What is the amplitude, period, and phase shift of f(x) = −3 cos(4x + π) + 6?
Answers
The amplitude, period, and phase shift of f(x) = -3 cos(4x + π) + 6 are 3, π/2 and -π/4 respectively.
f(x) = -3cos(4x + π) +6
The function is in the form:
f(x) = λcos( μx - Φ) + β
where, |λ| = amplitude, 2 π/μ = period, Φ/μ = phase shift
So, the amplitude is: |-3| = 3
The period is: 2π/4 = π/2
And the phase shift is: -π/4
We may also note that β is the vertical shift of the function and it shift by 6 up or -6 down.
Hence the amplitude, period, and phase shift of f(x) = -3 cos(4x + π) + 6 are 3, π/2 and -π/4 respectively.
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What is the value of 6 / x + 2x squared when x = 3
Answers
Answer:
8
Step-by-step explanation:
The equation will become 6/3+2(3)
-->6/3=2
-->Because of Order of Operation we will multiply the 2 and 3 before adding so 2(3) = 6
--> 6+2=8
Answer:
x=6
Step-by-step explanation:
when its squared you multiply by 2
A race car travels 276 feet each second.
How many yards does the race car travel in 5 seconds if it maintains that speed?
1,580 yards
1,380 yards
527 yards
460 yards
Answers
Answer:
460 yards
Step-by-step explanation:
276 feet in one second
276 * 5 = 1380 feet
1380/3 = 460 yards
Your welcome!
Kayden Kohl
8th Grade Student
15. Mohammed has $8376 in his bank account. In the next month he takes out $4595 to buy a car. He then buys some new tires for his car for $1200. The next day, he receives his salary of $2709 in his bank account. How much is in his account at the end of the month?
Answers
By doing addition and subtraction of integers, the result obtained is
Mohammed had $5290 at the end of the month
What is addition and subtraction of integers?
At first it is important to know about integers
Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.
Suppose there are many integers, and we need to find the sum total of all those integers, then the operation used in this case is called addition.
To find how big or small one integer is from the other, then the operation used is called subtraction of integers.
Here we will use addition and subtraction of integers
Bank balance of Mohammed = $8376
Amount of money taken out by Mohammed next month to buy a car = $4595
Amount of money needed to buy new tires for his car = $1200
Amount of salary received by Mohammed next day = $2709
Amount of money Mohammed had at the end of the month =
$(8376 - 4595 - 1200 + 2709)
= $5290
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what is the median of numbers 20,35,28,15,22,36,26
Answers
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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Use the distributive property to write an equivalent expression. 6(x+y+z)
Answers
Answer: To confuzing
Step-by-step explanation:
What is 5 3/4 - 6 1/2
Answers
Answer:
-1 1/4
Step-by-step explanation:
1/2 - 2/4
5 - 6 = -1
3/4 - 2/4 = 1/4
-1 1/4
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
If now Kate is three times as old as Jan, and 6 years ago she was six times as old as he was, how old are they now? I will only accept the right answers.
Answers
Answer:
Kate's age now is 30 years old and Jan's age now is 10 years old.
Step-by-step explanation:
Kate age now is 3x
Jan age now is x
3x-6=6*(x-6)
3x-6=6x-36
-3x -3x
-6=3x-36
+36 +36
30=3x
10=x
x=10
3x=30
Kate's age now is 30 years old and Jan's age now is 10 years old.
Estimate 11,319+4,865 by first rounding each number to the nearest thousand.
Answers
Answer:
16,000
Step-by-step explanation:
11,319 rounded to the nearest thousand is 11,000.
4,895 rounded to the nearest thousand is 5,000.
11,000 + 5,000 is equal to 16,000.
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
Answers
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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What Is It HomeWork*.
Answers
Answer:
sumthing that we hate doing
Step-by-step explanation:ughhhhhhhhhh
Joseph Selects a card from a standard deck of 52 cards and then replaces it afterwards he decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick he then constructs a graph to visualize his results
Answers
The answer to the given question is Option B.
Probability means possibility. A branch of mathematics that deals with the occurrence of random events. Probability is a measure of the likelihood of an event occurring. Many events cannot be predicted with absolute certainty.We can only predict the probability that an event will occur. H. Possibility of using it. Probabilities can range from 0 to 1. 0 means the event is not possible, 1 indicates the specific event. For example, if you toss a coin, you get either heads or tails. There are only two possible outcomes (H, T). But if you toss two coins in the air, three events can occur, such as ), (T, T). Probability of an event occurring P(E) = number of favorable outcomes/total number of outcomes.At no point can we distinguish between diamonds and hearts, as we are only interested in finding red cards. as a result,
The wrong statement is:
For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.
Therefore, the ultimate answer to the given question is Option B.
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The question is incorrect, The correct question is
Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?
A. The theoretical probability for selecting a red card in each pick is 0.5.
B. For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.
C. This is an example of the law of large numbers.
D. The relative frequency of selecting a red card changes with the increase in number of selections.
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answers
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
2/8x+3/8(x-1)=4 solve for x
Answers
\(\dfrac 28 x + \dfrac 38 (x-1) = 4\\\\\implies \dfrac 18(2x + 3x -3) = 4\\\\\implies 5x -3 = 32\\\\\implies 5x = 32 +3 \\\\\implies 5x = 35\\\\\implies x = \dfrac{35}5\\\\\implies x = 7\)
Answer:
The value of x is 7.
Step-by-step explanation:
Question :
\({\implies{\sf{\dfrac{2}{8} x + \dfrac{3}{8}(x - 1) = 4}}}\)
Solution :
\({\implies{\sf{\dfrac{2}{8} x + \dfrac{3}{8}(x - 1) = 4}}}\)
\({\implies{\sf{\dfrac{2}{8} \times x + \dfrac{3}{8}(x - 1) = 4}}}\)
\({\implies{\sf{\dfrac{2 \times x}{8} + \dfrac{3(x - 1)}{8} = 4}}}\)
\({\implies{\sf{\dfrac{2x}{8} + \dfrac{3x - 3}{8} = 4}}}\)
\({\implies{\sf{\dfrac{2x + 3x - 3}{8} = 4}}}\)
\({\implies{\sf{\dfrac{5x - 3}{8} = 4}}}\)
\({\implies{\sf{{5x - 3} = 4 \times 8}}}\)
\({\implies{\sf{{5x - 3} =32}}}\)
\({\implies{\sf{5x = 32 + 3}}}\)
\({\implies{\sf{5x = 35}}}\)
\({\implies{\sf{x = 35 \div 5}}}\)
\({\implies{\sf{x = \dfrac{35}{5}}}}\)
\({\implies{\sf{x = \cancel{\dfrac{35}{5}}}}}\)
\({\implies{\sf{x = 7}}}\)
\(\star{\underline{\boxed{\sf{\pink{x = 7}}}}}\)
Hence, the value of x is 7.
\(\rule{300}{1.5}\)