Calculate the cost of manufacturing a standard cereal box if cardboard costs $0.05 per square inch.
volume- 288 in
surface area- 312 in
height- 12 in
width- 8 in
length- 3 in
Answers
Answer:
Step-by-step explanation:
The perimeter of the front of a 10-ounce cereal box is 20 inches. The height is 2 inches more than the width. What are the width and height of the front of the box?
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PLEASE HELP
The table shows the number of runs earned by two baseball players.
Player A Player B
2, 1, 3, 8, 2, 3, 4, 3, 2 2, 3, 1, 4, 2, 2, 1, 4, 6
Find the best measure of variability for the data and determine which player was more consistent.
Player A is the most consistent, with an IQR of 1.5.
Player B is the most consistent, with an IQR of 2.5.
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 5.
Answers
Player A has a smaller IQR and range, indicating less variability in their scores, therefore the correct option is: Player A is the most consistent, with an IQR of 1.5.
Baseball players' consistency fully explainedTo determine the best measure of variability for the data, we need to consider the nature of the data and what we want to measure. Since the data is quantitative and consists of individual values, measures like range, interquartile range (IQR), and standard deviation (SD) are commonly used.
The range is the difference between the highest and lowest values in the data. The IQR is the difference between the 75th and 25th percentiles of the data. The SD measures the average distance of the values from the mean.
For Player A:
\(\sf Range = 8 - 1 = 7\)\(\sf IQR = Q3 - Q1 = 3 - 1.5 = 1.5\)\(\sf SD = 1.96 \ \ (approximate)\)For Player B:
\(\sf Range = 6 - 1 = 5\)\(\sf IQR = Q3 - Q1 = 4 - 1.5 = 2.5\)\(\sf SD = 1.61 (approximate)\)Based on these measures, we can see that Player A has a smaller IQR and range, indicating less variability in their scores, while Player B has a larger IQR and range, indicating more variability. Therefore, Player A is the more consistent player.
So the correct option is: Player A is the most consistent, with an IQR of 1.5.
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Estimate the side length of a square that has a 9 cm long diagonal. ( The perimeter of a square is typically 2.8 times bigger than the diagonal)
Answers
The diagonal and two adjacent sides of the square form an isosceles right triangle.
By the Pythagorean theorem
\(\begin{gathered} s^2+s^2=9^2 \\ 2s^2=81 \\ s^2=\frac{81}{2} \\ s=\sqrt[]{\frac{81}{2}} \\ s=\frac{9}{\sqrt[]{2}} \\ s=6.36\text{ cm} \end{gathered}\)solve a+1= √b+1 for b
Answers
2. b+1=(a+1)^2
3. b=a^2+2a
So the third option is correct.
Answer: The Third one is correct
Step-by-step explanation:
please help and show work
Answers
Every angle and side in one polygon has a corresponding part in the other polygon. All pairs of corresponding angles have the same measure.
the scale factor is .5
find the domain and range of the function !! NEED NOW
Answers
Answer:
Domain = { -2 , 0 , 2 , 4 }
Range = { 3 }
Step-by-step explanation:
Domain is the x-values that the Function have and Range is the y-values that the Function have corresponding to these x-values
Since the x-values for the Function attached are -2 , 0 , 2 , 4
and the y-values for the Function is 3
Then the Domain = { -2 , 0 , 2 , 4 }
and the Range = { 3 }
Glad to Help
y=3.8x10 \(x^{5}\)
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Solve the compound inequality n+2≤−5 and n+6≥−6
Answers
The solution of the inequality are n ≤ -7 and n ≥ -12.
How to solve compound inequality?A compound inequality is an inequality that combines two simple inequalities.
Therefore, let's solve the compound inequality individually.
n + 2 ≤ −5 and n + 6 ≥ −6
Hence,
n + 2 ≤ − 5
subtract 2 from both sides of the inequality
n + 2 - 2 ≤ − 5 - 2
n ≤ -7
n + 6 ≥ −6
subtract 6 from both sides of the inequality
n + 6 ≥ −6
n + 6 - 6 ≥ −6 - 6
n ≥ -12
Therefore, n ≤ -7 and n ≥ -12
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Luis jogged 9 3/13 laps the morning and 3 5/26 in the evening how many did he do in all?
Answers
Answer: 12 11/26 laps
Step-by-step explanation:
9 3/13= 9 6/26
9 6/26+ 3 5/26=12 11/26.
A company produced 10,288 crayons. They put 75 crayons in each large box they ship out. Which statement is true A) The company can fill 137 large boxes of crayons, with 11 crayons left over. B)The company can fill 137 large boxes of crayons, with 13 crayons left over. C)The company can fill 138 large boxes of crayons, with 10 crayons left over. D)The company can fill 138 large boxes of crayons, with 14 crayons left over.
Answers
10,288/75= 137 with a R of 13
a normal distribution is observed from the times to complete an obstacle course. the mean is 69 seconds and the standard deviation is 6 seconds. using the empirical rule, what is the probability that a randomly selected finishing time is greater than 87 seconds? provide the final answer as a percent rounded to two decimal places. provide your answer below: $$ %
Answers
The probability that a randomly selected finishing time is greater than 87 seconds is 14.08%. This can be calculated using the empirical rule.
The empirical rule states that for any data that is normally distributed, about 68% of the data will fall within one standard deviation of the mean (in this case, within 69 ± 6 seconds). Approximately 95% of the data will fall within two standard deviations (in this case, within 69 ± 12 seconds), and about 99.7% of the data will fall within three standard deviations (in this case, within 69 ± 18 seconds).Given the mean and standard deviation given, we can calculate the probability that a randomly selected finishing time is greater than 87 seconds.
We can do this by subtracting the area under the curve from the mean to the value we are interested in (in this case, 87 seconds). Since the total area under the curve is 1, subtracting the area from the mean to 87 seconds will give us the desired probability.To calculate the area under the curve, we need to calculate the Z-score, which is the number of standard deviations away from the mean a particular value is. In this case, the Z-score is (87 - 69) / 6, which is 2.16. Using a Z-table, the probability of a Z-score of 2.16 or higher is 0.8592. Therefore, the probability that a randomly selected finishing time is greater than 87 seconds is 1 - 0.8592, which is 0.1408. Rounding to two decimal places, this is 14.08%.
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log_8 (5x+4)=3x-4
Written as an exponential function
Answers
Answer:
x=-4 .
......
Decide if the segments can make a triangle. Answer with Yes/No and explain your answer.
9: 8 cm, 12 cm, 16 cm
10: 5 in, 7 in, 20 in
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9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.
10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.
50 POINTS HELP ASAP
The price of an adults ticket is $
The prince of a child's ticket is $
Answers
From the first statement, we have:
3A + 4C = 125
From the second statement, we have:
2A + 3C = 89
We can now solve this system of equations to find the values of A and C.
Multiplying the second equation by 2, we have:
4A + 6C = 178
Now, subtract the first equation from this result:
(4A + 6C) - (3A + 4C) = 178 - 125
A + 2C = 53
We now have a new equation:
A + 2C = 53
Subtracting twice this equation from the second equation:
2A + 3C - 2(A + 2C) = 89 - 2(53)
2A + 3C - 2A - 4C = 89 - 106
-C = -17
Multiplying both sides by -1, we get:
C = 17
Substituting this value of C back into the equation A + 2C = 53:
A + 2(17) = 53
A + 34 = 53
A = 19
Therefore, the price of an adult ticket is $19, and the price of a child ticket is $17.
a wedge is cut from a circular tree whose diameter is 2 m by a horizontal cutting plane up to the vertical axis and another cutting plane which is inclined by 45 degrees from the previous plane. find the volume of the wedge.
Answers
The volume of the wedge is π/8 cubic meters.
To find the volume of the wedge, follow these steps:
1. First, find the radius of the tree by dividing the diameter by 2.
Since the diameter is 2 meters, the radius (r) is 1 meter.
2. The angle of inclination of the second cutting plane is given as 45 degrees.
Since a full circle is 360 degrees, find the fraction of the circle that the wedge represents by dividing 45 by 360.
This gives us 45/360 = 1/8.
3. The volume of a cylinder can be calculated using the formula V = π\(r^2h,\)
where r is the radius and h is the height.
In this case, the height of the wedge (h) is equal to the radius (r), which is 1 meter.
So, the volume of the whole cylinder (tree) would be V = π\((1^2)(1)\)
= π cubic meters.
4. Now, multiply the volume of the whole cylinder by the fraction representing the wedge (1/8) to find the volume of the wedge: (1/8) × π = π/8 cubic meters.
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The mean of data set A is 42 the mean of data set b is 47. The mean absolute deviation (MAD) of both data sets is 2. 5 what is the difference of the means as a multiple of the MAD?
Answers
When the mean of data set A is 42, the mean of data set B is 47, and the mean absolute deviation (MAD) for both data sets is 2.5 then the difference between the means of the two data sets is 2 times the MAD.
The mean of data set A is 42, the mean of data set B is 47, and the mean absolute deviation (MAD) for both data sets is 2.5.
We need to find the difference between the means as a multiple of the MAD.
The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the data set.
Given that the MAD for both data sets is 2.5, it implies that, on average, each data point is approximately 2.5 units away from the mean.
To find the difference between the means as a multiple of the MAD, we subtract the mean of data set A from the mean of data set B and divide it by the MAD:
Difference = (Mean of data set B - Mean of data set A) / MAD
Difference = (47 - 42) / 2.5
Difference = 5 / 2.5
Difference = 2
Therefore, the difference between the means of the two data sets is 2 times the MAD.
This means that the mean of data set B is 2 MAD units greater than the mean of data set A.
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What helps to encourage openness, sharing, and respect for one another’s ideas during a group discussion?
Answers
Answer:
a sense of cohesion
Step-by-step explanation:
Team cohesion is a concept of how a team stays committed and values the interest of its members. A group can remain in a stable state when cohesion is strong, but the lack of cohesion made it prone to fall apart. The research of group cohesion is an important subject for study o how people stay interested in making large institutions work efficiently. It is referred to as a group of individuals with the same values and skills. And such a group and members of their group are dependable on each other.
In other to command respect and the acceptance of other people's view during a group discussion, it is imperative than contributing members can prove their inputs or view with evidence.
The ability to back up views with evidence would allow others to respect the opinion put forward due to the fact that it has a basis. Provision of evidence also allows other's to share views brought forward due to the backing provided by the evidence.Learn more : https://brainly.com/question/17361599
Which inequality represents the domain of the exponential piece?
a x>3
b x greater than or equal to -1
c x>1
d x less than or equal to -2
Answers
Using it's concept, it is found that the inequality represents the domain of the exponential piece is:
d) \(x \leq -2\).
What is the domain of a function?The domain of a function is the set that contains all possible input values.
Researching this problem on the internet, we have that the function is divided as follows:
For \(x \leq -2\), it has exponential behavior.For x > 2, it has polynomial behavior.Hence, for the domain of the exponential piece, option d is correct.
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Which is not a combination?
(why am i so stuck on this omg)
A. choosing 3 toppings for your pizza
B. lining 3 students up in a row
C. choosing 2 desserts from a tray of 10
D. choosing 5 students to represent a class of 30
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Answer: B
Step-by-step explanation: because
Consider the follawing demand and supply functions
D(x) = 222 - 4t, S(x) = 0,7 + 207.9,0 5 r 5.90
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The equilibrium quantity and price are 32 and 118, respectively, where demand equals supply.
To find the equilibrium quantity and price, we set the demand equal to the supply:
222 - 4t = 0.7 + 207.9(5r-5)Simplifying the above equation, we get:
4t = 1450.35 - 1039.5rSubstituting this expression for t in the demand function:
x = 222 - (1450.35 - 1039.5r)/4Simplifying further, we get:
x = 32.175 + 259.875rNow we can find the equilibrium by setting the supply equal to the demand:
0.7 + 207.9(5r-5) = 32.175 + 259.875rSolving for r, we get:
r = 1.18Substituting this value in the expression for x, we get:
x = 32Therefore, the equilibrium quantity and price are 32 and 118, respectively, where demand equals supply.
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Knowing that you need a sample pool of 1019 students to ultimately get about 500 students in your sample, you are in a position to draw a systematic sample from the student directory at your university. Further, 9,500 students are listed in the directory. What is the sampling interval? Interpret your results.Show all your work.
Answers
Answer:
Sampling interval = 9.323
Step-by-step explanation:
Given that:
Population size, N = 9500
Require sample, n = 1019
Sampling interval :
Population size / required sample size
Sampling interval = 9500 / 1019 = 9.3228
Interpretation :
In other to obtain a sample of 1019 drawn systematically from the population, a sample will be drawn at every 9.323 units from the population of 9500
i wonder if this is a good thing
Answers
Answer:
its a good thing but the warnings u may get banned
A company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many different teams can be formed
Answers
The team can be formed in 420 different ways
This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.
if r number of objects is to be selected from a pool of n objects, this can be done in nCr number of ways.
\(nCr=\frac{n!}{r!(n-r)!}\)
Now If A company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;
\(_{8} C_{2}=\frac{8!}{2!6!} =28\\_{6} C_{2}=\frac{6!}{2!4!} =15\)
\(_{8} C_{2}*_{6} C_{2}=28*15\)
\(=420\) teams
Hence, The team can be formed in 420 different ways
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What method is best for solving for (m+8)^2=72?
Answers
Answer:
Root square is a proper method
Step-by-step explanation:
√72 =+-(m+8)
and m+8>= 0<=>m>=-8
=>m= √72 -8
F(x)=12, then x=
I need it
Answers
answer this plz maths question
Answers
Answer:
Step-by-step explanation:
\(\frac{3x + 5}{4x +2}=\frac{3x+4}{4x + 7}\)
Cross multiply,
(3x+ 5 ) (4x + 7)=(3x + 4)*(4x + 2)
3x*4x + 3x *7 + 5*4x + 5*7 = 3x*4x + 3x*2 +4*4x + 4*2
12x² + 21x + 20x + 35 = 12x² + 6x + 16x + 8 {Combine like terms}
12x² + 41x + 35 = 12x² + 22x + 8
12x² + 41x +35 - 12x² - 22x = 8
12x² - 12x² + 41x - 22x + 35 = 8
0 + 19x + 35 = 8
19x = 8 - 35
19x = -27
x = -27/19
There are 24 students in a class 8 of the students are boys
b) Write the amount of girls in the class as a fraction in it's simplest form
Answers
Answer:
2/3
Step-by-step explanation:
total amount of students - amount of boys
24 - 8 = 16
16/24
2/3
Answer & Step-by-step explanation:
If 8 students are boys, then the remaining students must be girls. We can find the number of girls in the class by subtracting the number of boys from the total number of students in the class:
Total number of students - Number of boys = Number of girls 24 - 8 = 16
So there are 16 girls in the class. To write this as a fraction, we can express the number of girls as a fraction of the total number of students:
Girls' number / Overall, the amount of students equals 16/24.
The largest common factor, which is 8, can be used to split the numerator and denominator of this fraction to make it simpler:
16 / 24 = (16 ÷ 8) / (24 ÷ 8) = 2 / 3
As a result, the fractional representation of the total girls in the class is 2/3.
Hope it helps!
Find the values of a and b for which LMNO is a parallelogram
A. A=50,b=60
B. A=60,b=50
C. A=50, b=70
D. A= 70,b=50
Answers
Answer:
a = 50, b = 70
Step-by-step explanation:
In a parallelogram, opposite angles are congruent so we can write the following equation to solve for b:
b + 20 = 2b - 50
-b = -70
b = 70
To solve for a:
a + 40 = 2a - 10
-a = -50
a = 50
HELP PLEASEE 100 POINTS Solve for x and y. Show all work on the whiteboard so you have the option to receive partial credit. Then enter your answers below.
Answers
Answer:
51°; 143°Step-by-step explanation:
#1 on the leftmBCD = (mAD - mBD)/2x = (178° - 76°)/2 = 102°/2 = 51°#2 on the righty = (mKL + mJM)/2y = (156° + 130°)/2 = 286°/2 = 143°The following three points are the locations of important facilities in a transportation network: (27,17), (51,59), and (61,66). The coordinates are in miles. a. Calculate the Euclidean distances (in miles) between each of the three pairs of facilities. (Enter your responses rounded to two decimal places.) d AB = miles; d BC =m iles; d AC = mites. b. Calculate those distances using rectilinear distances. (Enter your responses as infegers) d AB = miles; d BC = miles, d AC = miles. Pre
Answers
a. To calculate the Euclidean distances between the three pairs of facilities, we use the formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2) where (x1, y1) and (x2, y2) are the coordinates of the two points.
Calculating the Euclidean distances:
dAB = sqrt((51 - 27)^2 + (59 - 17)^2) ≈ 45.28 miles
dBC = sqrt((61 - 51)^2 + (66 - 59)^2) ≈ 10.82 miles
dAC = sqrt((61 - 27)^2 + (66 - 17)^2) ≈ 51.23 miles
b. To calculate the rectilinear distances, we use the formula:
d = |x2 - x1| + |y2 - y1|
Calculating the rectilinear distances:
dAB = |51 - 27| + |59 - 17| = 27 + 42 = 69 miles
dBC = |61 - 51| + |66 - 59| = 10 + 7 = 17 miles
dAC = |61 - 27| + |66 - 17| = 34 + 49 = 83 miles
Therefore, the Euclidean distances are approximately dAB = 45.28 miles, dBC = 10.82 miles, and dAC = 51.23 miles. The rectilinear distances are dAB = 69 miles, dBC = 17 miles, and dAC = 83 miles.
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The area of a square floor on a scale drawing is 81 square centimeters, and the scale drawing is 1 centimeter:2 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
Answers
so the original area is
A = 81 sq cm ( 2 ft / 1 cm)^2a = 324 sq ft
so the ratio of the ratio the area in the drawing to the actual area is:
r = 81 sq cm / 324 sq ftr = 1 sq cm / 4 sq ft1 sq cm : 4 sq ft
Answer:
4 sq ft is the answer to your question