Answer:
The side is approx 2.78cm
Step-by-step explanation:
There is an area formula for regular polygons that uses the apothem:
A = 1/2•a•s•n
a is the apothem.
s is the side length.
n is the number of sides.
The area, A is given and also the apothem is given, as well as the number of sides.
The shape in your problem is a hexagon, so it has 6 sides.
A = 1/2 asn
20 = 1/2(2.4)s(6)
Multiply.
20 = 7.2s
Divide.
20/7.2 = s
2.78 = s
s = 2.78
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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Write a mixed number that is equivalent to 16 3
Answer:
5 1/3
Step-by-step explanation:
16/3 = 32/6
32/6 = 5 2/6 = 5 1/3
Answer:16/3 is = to 5 1/3
Step-by-step explanation:
4. When you _________ the problem, it makes it easier to understand how you solved it.
Answer:
When you explain the problem, it makes it easier to understand how you solved it.
I hope this helped at all.
The equation z = 30x represents a(n) _____ variation.
a. direct
b. joint
c. inverse
d. combined
The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.
Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.
In the case of the given equation, as x increases, z also increases proportionally.
Similarly, if x decreases, z will also decrease proportionally.
Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.
In the given equation, we can see that z is the dependent variable, and x is the independent variable.
We can rewrite the equation as z = kx, where k = 30.
To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.
Here, the cost of buying apples is directly proportional to the number of apples purchased.
For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.
Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.
Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.
The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.
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Jan used 1057 yards of fabric to make 5 dresses on average how much fabric did she use for each dress
Answer:
about 211.4 yards per dress
Step-by-step explanation:
you just divide 1057 by 5
Marco has a collection of 437 bottles. Each month he buys 32 bottles .
Answer:
what is the question
Step-by-step explanation:
How far could the Apostle Paul walk in 4.5 hours if he walked an average of 4.3 kilometers per hour?
Answer 19.35 km
Step-by-step explanation:
We are looking for the Distance that Apostle Paul walked in 4.5 Hours!
I will be using the formula Distance=rate*time 1)
We DONT know the distance so I'll leave it as variable "D".
We know his rate of walking is 4.3 km/h, and we know he walked for a total of 4.5 hours.
Set up the following equation. D=4.3*4.5 2)
Simplify the equation above: D=19.35
The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students’ proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12.
In 2002, the reading scores for female students had a mean of 269 with a standard deviation of 33. Assume that these scores are normally distributed with the given mean and standard deviation.
Identify the scores that are three standard deviationsabove and below the mean of the population. For this example, the limits will be 269 ± (33)(3). The lower limit is . The upper limit is . The probability that a female student will have a score between these limits is .
A score of 302 is above the mean. As a result, the percentage of female students with scores below 302 is .
You can infer that 97.72% of the female students have scores above .
"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits
To calculate the scores that are three standard deviations above and below the mean, we use the formula:
Lower limit = Mean - (Standard Deviation * 3)
Upper limit = Mean + (Standard Deviation * 3)
Given:
Mean = 269
Standard Deviation = 33
Using the formula, we can calculate the limits:
Lower limit = 269 - (33 * 3) = 269 - 99 = 170
Upper limit = 269 + (33 * 3) = 269 + 99 = 368
Therefore, the lower limit is 170 and the upper limit is 368.
To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.
Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.
For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:
Percentage = (1 - Probability) * 100
= (1 - 0.9972) * 100
= 0.0028 * 100
= 0.28%
Therefore, approximately 0.28% of the female students have scores below 302.
It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits
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h(x) = 2x + 3
Complete the function table.
X. H(x)
-4
0
1
2
3
Answer:
X H(x)=2x+3
-4 -5
0 3
1 5
2 7
3 9
suppose a 90% confidence interval is given as 22.5< u <32.0 and a classmate says this means that 90% of the data falls between the values of 22.5 and 32.0 what is wrong with this statement
The statement is incorrect because a confidence interval provides a range where we are 90% confident that the population mean falls, not where 90% of the data lies.
The statement made by the classmate is incorrect.
A 90% confidence interval does not represent the range in which 90% of the data falls. Instead, it provides a range of values within which we can be 90% confident that the true population parameter lies. In this case, the interval is given as 22.5 < u < 32.0, where "u" represents the population mean.
To clarify, a 90% confidence interval implies that if we were to take multiple samples from the population and calculate the confidence interval for each sample, approximately 90% of those intervals would contain the true population mean.
It is important to understand that a confidence interval does not describe the distribution or range of the actual data points themselves. It is solely an estimate of where the population parameter (in this case, the mean) is likely to lie with a specified level of confidence.
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3x the sum of 3 and some number is 24 what is the number
Answer:
×=8
Step-by-step explanation:
24 divide by 3 is 8
8 x 3 is 24
Please awnser asap I will brainlist
The members of the given set in this problem are given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
How to obtain the union and intersection set of two sets?The union and intersection sets of multiple sets are defined as follows:
The union set is composed by the elements that belong to at least one of the sets.The intersection set is composed by the elements that belong to at all the sets.The intersection of the sets Y and Z for this problem is given as follows:
Y ∩ Z = {0, 6, 23, 26}
(which are the elements that belong to both of the sets).
The union of the above set with the set X is given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
(elements that belong to at least one of the sets).
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Last year's total rainfall on Government Island was 25% below its annual average of 24 inches.
How much did it rain on Government Island last year?
Graphing form equation for y=x^3
Answer:
Step-by-step explanation:
Capacity of the football stadium.
A) Quantitative
B Qualitative
4. Alfonso surveyed several students in his school. He asked them to give the grade that they are in and the number of pets they have at home. The results are shown in the table below.
Survey Results
Grade
5
6
2
1
4
2
4
1
4
3
5
Number of
Pets
0
4
2
3
5
1
2
2
0
5
2
Find the correlation coefficient for the data. Round to the nearest hundredth
EDIT: IT ISNT 0.35 , 0.36 nor 0.37 SOOO PLEASE REFRAIN FROM GIVING ME THISE ANSWERS!!!
Answer: sorry would help ya but i can't because i have no clue what the question is asking me to round...
At Green Island Farms the annual Turkey Trot is being held. This year’s contestants are Tom Turkey, Gary Gobbler and Donny Drumstick. The turkeys chase little RC cars loaded with feed. The buzzer sounds and the turkeys are off. Gary Gobbler chases his RC car trying to eat that sweet turkey feed for 15 feet before he manages to side swipe the RC car and knock it on its side. All the feed spills out and Gary Gobbler gobbles it down. That silly turkey happily eats his food for 1.75 seconds. A mouse comes out of the hay bale and tries to join Gary Gobbler in his feasting. But Gary Gobbler is scared of mice so when he sees the mouse he freaks out and tears down the racetrack.
Write a similar story for Tom Turkey making sure to include the different segments of the graph.
Answer:
The company is expected the company will receive
Find the circumference. use 3.14 for π r=5 cm c=? c=π d
Answer:
31.4
Step-by-step explanation:
d = 10
radius times 2 = d
multiply the circle's diameter by pi (3.14).
31.4
- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How much less would the bed cost if Mona bought it in the nearby city?
Answer:
$20.85 less.
Step-by-step explanation:
City sales:
7% tax = 48.65
total bed cost = $743.65
Nearby City:
4% tax = 27.8
total bed cost = $722.8
city sale - nearby city
743.65 - 722.8
=20.85
A cylindrical fuel storage tank has a diameter of 19 feet. Determine the capacity of the tank, if its height is 34 feet. (use I = 3.14)
Answer:
Capacity = 9.63509
Step-by-step explanation:
V = πr²h
9.5 x 9.5 x 3.14 = 283.385
283.385 x 34 = 9,635.09
9,635.09 ÷ 1,000 = 9.63509
Please let me know if this helps.
Which of the following best forms the figure shown?
Greg has a table that is 3.75 meters in length. He wants to make a tablecloth that is 20 centimeters longer on each end than the table. What steps should Greg use to determine the correct number of centimeters to make the tablecloth
Answer:
Use (3.75×100/1) and then add 40.
Step-by-step explanation:
I hope you pass. Can you mark me the Brainliest?
95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
What is the prime factorization of 30?
O A. 2.2.3.5
O B. 5.6
O C. 3.10
O D. 2.3.5
D. 2.3.5 is the correct answer
deigo has $500 dolars in his saving account each month he takes out $20 to pay for karate class. let m be the number of months write an expression yo show the total amount ain deigos saving account after m months
The expression shows the total amount in Diego's savings account after m months is 500 - 20m.
What is the total amount?
Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.
Here, we have
Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.
Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.
The expression:
= 500 - 20m
Here m is the number of months
Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.
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Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?
No. There are x values which map to more than 1 y-value.
Yes. Every y-value maps to exactly 1 x-value.
No. There are y-values which map to more than 1 x-value.
Yes. Every x-value maps to exactly 1 y-value.
No, there are x values which map to more than 1 y-value.
Given that Matthew examines the relation as shown in the below.
{(4, -11), (3,1), (0,1), (2,6), (3, -1)}
We need to check whether the relation is a function or not,
So, we know that,
A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.
If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.
Here we can see that the y values are repeated, so it is not a function.
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8.
Which expression is equivalent to 4y + 12? Explain why,
A 16y
B 12y + 4
C 4(y + 12)
D 4(y+ 3)
Answer:
4y + 12 is equivalent to D
Step-by-step explanation:
4(y+3)
4(y) = 4y
4(3) = 12
so it's D
Hope this worked !
Maximizing Profit: Tutorial
? Question
Buzz and Hover Electronics is a company that sells a variety of flying drones. For one model of drone, the cost and revenue
can be described by the given functions and graphs, where x is the number of drones.
R(x) = 180x
C(x) = 65x+13,800
Total (dollars)
+40,000
+35,000
+30,000
+25,000
+20,000
+15.000
D
+10,000
The company cannot maximize profit because the cost of producing outweighs the revenue or profit made
How should they maximize profit?
The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function:
P(x) = R(x) - C(x) = 180x - (65x + 13,800) = 115x - 13,800
To maximize the profit, we need to find the value of x that maximizes P(x). We can do this by finding the vertex of the parabola that represents the profit function. Since the coefficient of the x² term is negative (-115), the parabola opens downward and the vertex represents the maximum value of the function.
The x-coordinate of the vertex is given by x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = -115 and b = 0, so x = 0.
Therefore, the maximum profit occurs when x = 0, which means that the company should not produce any drones. This is because the cost of producing each drone (65x + 13,800) is greater than the revenue generated by selling each drone (180x) for all values of x.
In other words, the company will lose money for each drone produced, so it should not produce any at all.
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when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at birth? how much longer?
cousin
1/20 inches
Step-by-step explanation:Hi there !
cousin
21 4/5 = (21×5+4)/5 = 109/5
friend
21 3/4 = (21×4+3)/4 = 78/4
lcm(4 ; 5) = 20
⁴⁾109/5 = 436/20 (cousin)
⁵⁾87/4 = 435/20 (friend)
436/20 > 435/20
cousin > friend
436/20 - 435/20 = 1/20 inches longer (cousin)
Good luck !
QUESTION 2 [6 MARKS] 2.1 If an athlete passed the 5 km mark in a race after 19 min 58 seconds and the 10 km mark after 37 min 25 seconds, how long did it take him to complete the second 5 km? 1 2.2 2.3 Convert the following time in hours to a time in hours and minutes: 3,5 hours Andiswa reads the time on the following clock in the morning. Help Andiswa to write the time that she reads down. Give your answer in 24hour format and describe the time in words. You do not have to specify the seconds.
Answer:
Step-by-step explanation:
To calculate the time it took the athlete to complete the second 5 km, we can subtract the time it took to complete the first 5 km from the time it took to complete the full 10 km.
Time taken to complete first 5 km = 19 min 58 sec
Time taken to complete full 10 km = 37 min 25 sec
Time taken to complete second 5 km = (Time taken to complete full 10 km) - (Time taken to complete first 5 km)
= (37 min 25 sec) - (19 min 58 sec)
= 17 min 27 sec
Therefore, it took the athlete 17 min 27 sec to complete the second 5 km.
To convert 3.5 hours into hours and minutes, we can separate the whole number part (hours) and the decimal part (minutes). The decimal part represents the fraction of an hour, which we can convert to minutes by multiplying by 60.
3.5 hours = 3 hours + 0.5 hours
= 3 hours + (0.5 x 60) minutes
= 3 hours + 30 minutes
Therefore, 3.5 hours is equal to 3 hours and 30 minutes.
To write down the time on the clock, we would need to know what the clock face looks like. However, assuming a typical analog clock face, if Andiswa reads the time as 6:15 in the morning, then the time in 24-hour format would be 06:15. We can describe the time as "six-fifteen in the morning."